From ef825db0fe92464306a0f8cf755e498ce646464e Mon Sep 17 00:00:00 2001 From: verg1lio Date: Tue, 13 Oct 2020 15:05:44 -0300 Subject: [PATCH 001/138] Initial tilting-pad bearing commit --- ross/bearings/tilting_pad.py | 39 ++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) create mode 100644 ross/bearings/tilting_pad.py diff --git a/ross/bearings/tilting_pad.py b/ross/bearings/tilting_pad.py new file mode 100644 index 000000000..82e3d3b1b --- /dev/null +++ b/ross/bearings/tilting_pad.py @@ -0,0 +1,39 @@ +"""Tilting-pad hydrodynamic bearing properties calculation module + +In this module, the tilting-pad bearing properties can be estimated and +simulated for a given set of properties, until the model reaches a steady- +-state of numerical convergence. These properties can then be exported to +external files, and used in the bearing_seal_element.py routine inside the +ROSS framework. This routine can also be used for bearing properties esti- +mation for other purposes. +""" + +import os +import warnings + +import numpy as np +import toml +from plotly import graph_objects as go +from scipy import interpolate as interpolate + +from ross.element import Element +from ross.fluid_flow import fluid_flow as flow +from ross.fluid_flow.fluid_flow_coefficients import ( + calculate_short_damping_matrix, calculate_short_stiffness_matrix) +from ross.units import Q_, check_units +from ross.utils import read_table_file + +# __all__ = [ +# ] + +# FOR THE MOMENT, THIS CODE IS BEING TRANSLATED FROM MATLAB TO PYTHON, AND +# THEREFORE THIS PROCESS WILL BE MADE IN LINEAR PROGRAMMING STANDARDS. ONCE +# THIS INITIAL TRANSLATION IS DONE, AND THE CODE VALIDATED, THE MODULARIZATION +# AND CONVERSION TO OBJECT ORIENTED STANDARDS WILL BE MADE. + + + + + + + From 4068547e2b1582d2f2034df7f183a24786388f80 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Tue, 13 Oct 2020 17:06:47 -0300 Subject: [PATCH 002/138] First few variable entries conversions --- ross/bearings/tilting_pad.py | 159 +++++++++++++++++++++++++++++++++++ 1 file changed, 159 insertions(+) diff --git a/ross/bearings/tilting_pad.py b/ross/bearings/tilting_pad.py index 82e3d3b1b..521005029 100644 --- a/ross/bearings/tilting_pad.py +++ b/ross/bearings/tilting_pad.py @@ -32,6 +32,165 @@ # AND CONVERSION TO OBJECT ORIENTED STANDARDS WILL BE MADE. +#class _TiltingPad: +# """Tilting-pad hydrodynamic bearing properties calculation class. +# +# This class takes the tilting-pad bearing geometrical and physical properties, to +# determine it's influence in the rotor system's dynamic response. It also generates +# the bearings stiffness depending on the rotor rotation speed. +# +# STILL HAS TO CHANGE THE REST FROM HERE DOWN +# """ +# +# def __init__(self, coefficient, frequency=None): + + + + +P1 +T1 +XH +YH +E +phi +# Cr +# Tcuba +Xtheta +XZdim +ntheta +Fhx +Fhy +Pmax +hmin +Tmax + + +# x=[0.000321298907440948 0.000218101024776208 0.000241891712348458 0.000385504446042090 0.000516992650533115 0.000460227890390222]; + +psi_pad = np.array([x[1], x[2], x[3], x[4], x[5], x[6]]) +npad = 6 + +# Radial clearance +Cr = 250e-6 + +# Temperature of oil tank +Tcuba = 40 + +# Rotor center position +xx = E * Cr * cos(phi) +yy = E * Cr * sin(phi) +alphapt = 0 * (2 * pi * 5) * alpha + + +# Geometric parameters of bearing -------------------------------------------- + +# Journal radius +R = 0.5 * 930e-3 + +# Pad radius +Rs=0.5*934e-3 # [m] + +# Pad thickness +esp=67e-3 # [m] + +# Pad arc +betha_s=25 # [degree] +betha_s=betha_s*(pi/180) # [rad] + +# Pivot position (arc pivot/arc pad) +rp_pad=0.6 + +# Bength of bearing +L=197e-3 # [m] + +# Angular position of pivot +sigma=0:60:300 # [degree] +sigma= sigma*(pi/180) # [rad] + +# Loading bearing +fR=90.6e3 # [N] + +# Rotor speed +wa=300 # [rpm] +war=wa*(pi/30) # rad/s + +# Reference temperature +T_ref=Tcuba # [Celsius] + +# Thermal Properties Oil ---------------------------------------------------- + +# Thermal conductivity +kt=0.07031*exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] + +# Specific heat +Cp=(16.5*exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] + +# Specific mass +rho=0.04514*exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] + +# Reference viscosity +#mi_ref=0.0752 +mi_ref=5.506e-09*exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] + +# Bearing Position --------------------------------------------------------- + +# Rotor center velocity +xpt=-(2*pi*5)*yy +ypt=(2*pi*5)*xx + +# Discretizated Mesh ------------------------------------------------------ + +# Number of volumes in theta direction +ntheta=48 + +# Number of volumes in x direction +nX=ntheta + +# Number of volumes in z direction +nZ=48 + +# Number of volumes in netha direction +nN=30 + +Z1=0 # initial coordinate z dimensionless +Z2=1 # final coordinate z dimensionless +dZ=1/(nZ) # differential z dimensionless +dz=dZ*L # differential z dimensional: [m] +XZ(1)=Z1 +XZ(nZ+2)=Z2 +XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless +XZdim=XZ*L # vector z dimensional [m] + +N1=0 # initial coordinate netha dimensionless +N2=1 # final coordinate netha dimensionless +dN=1/(nN) # differential netha dimensionless +netha(1)=N1 +netha(nN+2)=N2 +netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless + +theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] +theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] +dtheta=betha_s/(ntheta) # differential theta [rad] +Xtheta(1)=theta1 +Xtheta(ntheta+2)=theta2 +Xtheta(2:ntheta+1)=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta # vector theta [rad] + +dX=1/nX # differential x dimensionless +dx=dX*(betha_s*Rs) # differential x dimensional: [m] +XX=Xtheta*Rs # vector x dimensional: [m + +# Pad recess +len_betha=0.39*betha_s # Pad Angle with recess +len_L=0.71*L # Bearing length with recess +center_pos_L=L/2 +start_pos_betha=0*betha_s +drop_pressure_pos_L=[center_pos_L-len_L/2 center_pos_L+len_L/2] +drop_pressure_pos_betha=[start_pos_betha start_pos_betha+len_betha] + +drop_pressure_Ele_nZ=find(XZdim>drop_pressure_pos_L(1) & XZdim=drop_pressure_pos_betha(1)+theta1 & Xtheta<=drop_pressure_pos_betha(2)+theta1) + +# Initial Parameters --------------------------------------------------------------- From c825717a73fdf13e70eb5e728dab50e32473a913 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Tue, 13 Oct 2020 17:22:00 -0300 Subject: [PATCH 003/138] Continued conversions 001 --- ross/bearings/tilting_pad.py | 42 ++++++++++++++++++++---------------- 1 file changed, 23 insertions(+), 19 deletions(-) diff --git a/ross/bearings/tilting_pad.py b/ross/bearings/tilting_pad.py index 521005029..8390bf772 100644 --- a/ross/bearings/tilting_pad.py +++ b/ross/bearings/tilting_pad.py @@ -77,8 +77,8 @@ Tcuba = 40 # Rotor center position -xx = E * Cr * cos(phi) -yy = E * Cr * sin(phi) +xx = E * Cr * np.cos(phi) +yy = E * Cr * np.sin(phi) alphapt = 0 * (2 * pi * 5) * alpha @@ -95,7 +95,7 @@ # Pad arc betha_s=25 # [degree] -betha_s=betha_s*(pi/180) # [rad] +betha_s=betha_s*(np.pi/180) # [rad] # Pivot position (arc pivot/arc pad) rp_pad=0.6 @@ -104,15 +104,16 @@ L=197e-3 # [m] # Angular position of pivot -sigma=0:60:300 # [degree] -sigma= sigma*(pi/180) # [rad] +#sigma=0:60:300 # [degree] +sigma = np.array([0,300,60]) # [degree] +sigma= sigma*(np.pi/180) # [rad] # Loading bearing fR=90.6e3 # [N] # Rotor speed wa=300 # [rpm] -war=wa*(pi/30) # rad/s +war=wa*(np.pi/30) # rad/s # Reference temperature T_ref=Tcuba # [Celsius] @@ -120,23 +121,23 @@ # Thermal Properties Oil ---------------------------------------------------- # Thermal conductivity -kt=0.07031*exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] +kt=0.07031*math.exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] # Specific heat -Cp=(16.5*exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] +Cp=(16.5*math.exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] # Specific mass -rho=0.04514*exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] +rho=0.04514*math.exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] # Reference viscosity #mi_ref=0.0752 -mi_ref=5.506e-09*exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] +mi_ref=5.506e-09*math.exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] # Bearing Position --------------------------------------------------------- # Rotor center velocity -xpt=-(2*pi*5)*yy -ypt=(2*pi*5)*xx +xpt=-(2*np.pi*5)*yy +ypt=(2*np.pi*5)*xx # Discretizated Mesh ------------------------------------------------------ @@ -158,7 +159,8 @@ dz=dZ*L # differential z dimensional: [m] XZ(1)=Z1 XZ(nZ+2)=Z2 -XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless +# XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless +XZ(2:nZ+1)=Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless XZdim=XZ*L # vector z dimensional [m] N1=0 # initial coordinate netha dimensionless @@ -166,14 +168,16 @@ dN=1/(nN) # differential netha dimensionless netha(1)=N1 netha(nN+2)=N2 -netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless +# netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless +netha(2:nN+1)=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] dtheta=betha_s/(ntheta) # differential theta [rad] Xtheta(1)=theta1 Xtheta(ntheta+2)=theta2 -Xtheta(2:ntheta+1)=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta # vector theta [rad] +# Xtheta(2:ntheta+1)=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta # vector theta [rad] +Xtheta(2:ntheta+1)=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] dX=1/nX # differential x dimensionless dx=dX*(betha_s*Rs) # differential x dimensional: [m] @@ -184,11 +188,11 @@ len_L=0.71*L # Bearing length with recess center_pos_L=L/2 start_pos_betha=0*betha_s -drop_pressure_pos_L=[center_pos_L-len_L/2 center_pos_L+len_L/2] -drop_pressure_pos_betha=[start_pos_betha start_pos_betha+len_betha] +drop_pressure_pos_L=np.array([center_pos_L-len_L/2, center_pos_L+len_L/2]) +drop_pressure_pos_betha=np.array([start_pos_betha, start_pos_betha+len_betha]) -drop_pressure_Ele_nZ=find(XZdim>drop_pressure_pos_L(1) & XZdim=drop_pressure_pos_betha(1)+theta1 & Xtheta<=drop_pressure_pos_betha(2)+theta1) +#drop_pressure_Ele_nZ=find(XZdim>drop_pressure_pos_L(1) & XZdim=drop_pressure_pos_betha(1)+theta1 & Xtheta<=drop_pressure_pos_betha(2)+theta1) # Initial Parameters --------------------------------------------------------------- From 49c77107bc38e6d5838f45e5d500ce4517c9f35d Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 14 Oct 2020 16:45:57 -0300 Subject: [PATCH 004/138] Continued conversions 002 --- ross/bearings/tilting_pad.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/ross/bearings/tilting_pad.py b/ross/bearings/tilting_pad.py index 8390bf772..943672f51 100644 --- a/ross/bearings/tilting_pad.py +++ b/ross/bearings/tilting_pad.py @@ -121,17 +121,17 @@ # Thermal Properties Oil ---------------------------------------------------- # Thermal conductivity -kt=0.07031*math.exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] +kt=0.07031*np.exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] # Specific heat -Cp=(16.5*math.exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] +Cp=(16.5*np.exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] # Specific mass -rho=0.04514*math.exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] +rho=0.04514*np.exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] # Reference viscosity #mi_ref=0.0752 -mi_ref=5.506e-09*math.exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] +mi_ref=5.506e-09*np.exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] # Bearing Position --------------------------------------------------------- @@ -157,8 +157,8 @@ Z2=1 # final coordinate z dimensionless dZ=1/(nZ) # differential z dimensionless dz=dZ*L # differential z dimensional: [m] -XZ(1)=Z1 -XZ(nZ+2)=Z2 +XZ[1]=Z1 +XZ[nZ+2]=Z2 # XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless XZ(2:nZ+1)=Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless XZdim=XZ*L # vector z dimensional [m] @@ -166,8 +166,8 @@ N1=0 # initial coordinate netha dimensionless N2=1 # final coordinate netha dimensionless dN=1/(nN) # differential netha dimensionless -netha(1)=N1 -netha(nN+2)=N2 +netha[1]=N1 +netha[nN+2]=N2 # netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless netha(2:nN+1)=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless From 965a9807aa87c657021d6c05d93cfb0247ab94b6 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 15 Oct 2020 17:25:34 -0300 Subject: [PATCH 005/138] Files root folder change --- ross/{bearings => fluid_flow}/tilting_pad.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename ross/{bearings => fluid_flow}/tilting_pad.py (100%) diff --git a/ross/bearings/tilting_pad.py b/ross/fluid_flow/tilting_pad.py similarity index 100% rename from ross/bearings/tilting_pad.py rename to ross/fluid_flow/tilting_pad.py From 676614ae3705a1b1e283cc1e5e87bf03390d715f Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 26 Oct 2020 13:35:42 -0300 Subject: [PATCH 006/138] Continued conversions 003 --- ross/fluid_flow/tilting_pad.py | 39 ++++++++++++++++++++++++++++------ 1 file changed, 32 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 943672f51..3d66f5682 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -8,6 +8,7 @@ mation for other purposes. """ + import os import warnings @@ -23,6 +24,8 @@ from ross.units import Q_, check_units from ross.utils import read_table_file + + # __all__ = [ # ] @@ -46,7 +49,7 @@ - +""" P1 T1 XH @@ -63,7 +66,7 @@ Pmax hmin Tmax - +""" # x=[0.000321298907440948 0.000218101024776208 0.000241891712348458 0.000385504446042090 0.000516992650533115 0.000460227890390222]; @@ -159,8 +162,10 @@ dz=dZ*L # differential z dimensional: [m] XZ[1]=Z1 XZ[nZ+2]=Z2 + # XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless -XZ(2:nZ+1)=Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless +XZ[1:nZ] = Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless + XZdim=XZ*L # vector z dimensional [m] N1=0 # initial coordinate netha dimensionless @@ -168,16 +173,18 @@ dN=1/(nN) # differential netha dimensionless netha[1]=N1 netha[nN+2]=N2 + # netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless -netha(2:nN+1)=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless +netha[1:nN]=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] dtheta=betha_s/(ntheta) # differential theta [rad] -Xtheta(1)=theta1 -Xtheta(ntheta+2)=theta2 +Xtheta[0]=theta1 +Xtheta[ntheta+1]=theta2 + # Xtheta(2:ntheta+1)=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta # vector theta [rad] -Xtheta(2:ntheta+1)=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] +Xtheta[1:ntheta]=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] dX=1/nX # differential x dimensionless dx=dX*(betha_s*Rs) # differential x dimensional: [m] @@ -196,6 +203,24 @@ # Initial Parameters --------------------------------------------------------------- +Tmist=T_ref*np.ones((nN+2)) +minovo=mi_ref*np.ones((nZ,ntheta,nN)) # Initial viscosity field + +# Velocity field - 3D +vu=np.zeros((nZ,ntheta,nN)) +vv=np.zeros((nZ,ntheta,nN)) +vw=np.zeros((nZ,ntheta,nN)) + +# Velocity field - 2D +Vu=np.zeros((nN,ntheta)) +Vv=np.zeros((nN,ntheta)) +Vw=np.zeros((nN,ntheta)) + +YH = np.zeros[nN+2,nX+2,npad] + +XH = np.zeros[nN+2,nX+2] +for ii = 1:nX+2 + XH[:,ii] = Xtheta[ii] From 4bdcb57b4597497a6036d2c68fbb4acab8466e17 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 26 Oct 2020 15:21:05 -0300 Subject: [PATCH 007/138] Continued conversions 004 --- ross/fluid_flow/tilting_pad.py | 228 ++++++++++++++++++++++++++++++++- 1 file changed, 227 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3d66f5682..95a9431da 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -219,9 +219,235 @@ YH = np.zeros[nN+2,nX+2,npad] XH = np.zeros[nN+2,nX+2] -for ii = 1:nX+2 + + +for ii in range(1,nX+2+1): XH[:,ii] = Xtheta[ii] +for n_p=1:npad % LOOP NAS PADS!!!!! + alpha=psi_pad(n_p); + %transformation of coordinates + xryr=[cos(sigma(n_p)) sin(sigma(n_p)) ; -sin(sigma(n_p)) cos(sigma(n_p))]*[xx ; yy]; + xryrpt=[cos(sigma(n_p)) sin(sigma(n_p)) ; -sin(sigma(n_p)) cos(sigma(n_p))]*[xpt ; ypt]; + xr=xryr(1); + yr=xryr(2); + + xrpt=xryrpt(1); + yrpt=xryrpt(2); + + %Temperature matrix with boundary conditions + T_novo=T_ref*ones(nN+2,ntheta+2); + + Tcomp=1.2*T_novo; + + while norm((T_novo-Tcomp)/norm(Tcomp))>0.01 % LOOP DA TEMPERATURA DO OLEO!!!!! + mi=minovo; + Tcomp=T_novo; + + nk=(nZ)*(ntheta); + K_null=zeros(1,nk); + Kij_null=zeros(nZ,ntheta); + ki=1; + kj=1; + k=0; %indice utilizado na vetoriza��o da press�o + nn=1; + + Mat_coef=zeros(nk,nk); + b=zeros(nk); + + for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) % CORRENDO A MALHA EM Z!!!!! + + for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) % CORRENDO A MALHA EM THETA!!!!! + + if kj==1 + vector_mi(1,:)=mi(ki,kj,:); + vector_mi(2,:)=mi(ki,kj+1,:); + vector_mi(3,:)=mi(ki,kj,:); + end + + if kj==ntheta + vector_mi(1,:)=mi(ki,kj,:); + vector_mi(2,:)=mi(ki,kj,:); + vector_mi(3,:)=mi(ki,kj-1,:); + end + + if kj>1 && kj1 && kj1 && ki1 && ki1 && kj1 && ki1 && kj Date: Mon, 26 Oct 2020 15:40:30 -0300 Subject: [PATCH 008/138] Continued conversions 005 --- ross/fluid_flow/tilting_pad.py | 298 +++++++++++++++++---------------- 1 file changed, 152 insertions(+), 146 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 95a9431da..e5cba9ffd 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -225,229 +225,235 @@ XH[:,ii] = Xtheta[ii] -for n_p=1:npad % LOOP NAS PADS!!!!! - alpha=psi_pad(n_p); - %transformation of coordinates - xryr=[cos(sigma(n_p)) sin(sigma(n_p)) ; -sin(sigma(n_p)) cos(sigma(n_p))]*[xx ; yy]; - xryrpt=[cos(sigma(n_p)) sin(sigma(n_p)) ; -sin(sigma(n_p)) cos(sigma(n_p))]*[xpt ; ypt]; - xr=xryr(1); - yr=xryr(2); +################### from here downwards, still in the works + + +for n_p in range(1,npad+1): # LOOP NAS PADS!!!!! + alpha=psi_pad[n_p] + + # transformation of coordinates + xryr=np.array([np.cos(sigma(n_p)) , np.sin(sigma(n_p))] ; + [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]) * np.array([[xx]; [yy]]) + xryrpt=[np.cos(sigma(n_p)) np.sin(sigma(n_p)) ; -np.sin(sigma(n_p)) np.cos(sigma(n_p))]*[xpt ; ypt] + xr=xryr(1) + yr=xryr(2) - xrpt=xryrpt(1); - yrpt=xryrpt(2); + xrpt=xryrpt(1) + yrpt=xryrpt(2) - %Temperature matrix with boundary conditions - T_novo=T_ref*ones(nN+2,ntheta+2); + # Temperature matrix with boundary conditions + T_novo=T_ref*np.ones(nN+2,ntheta+2) - Tcomp=1.2*T_novo; + Tcomp=1.2*T_novo - while norm((T_novo-Tcomp)/norm(Tcomp))>0.01 % LOOP DA TEMPERATURA DO OLEO!!!!! - mi=minovo; - Tcomp=T_novo; + while norm((T_novo-Tcomp)/norm(Tcomp))>0.01 # LOOP DA TEMPERATURA DO OLEO!!!!! + mi=minovo + Tcomp=T_novo - nk=(nZ)*(ntheta); - K_null=zeros(1,nk); - Kij_null=zeros(nZ,ntheta); - ki=1; - kj=1; - k=0; %indice utilizado na vetoriza��o da press�o - nn=1; + nk=(nZ)*(ntheta) + K_null=np.zeros(1,nk) + Kij_null=np.zeros(nZ,ntheta) + ki=1 + kj=1 + k=0; # indice utilizado na vetoriza��o da press�o + nn=1 - Mat_coef=zeros(nk,nk); - b=zeros(nk); + Mat_coef=np.zeros(nk,nk) + b=np.zeros(nk) - for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) % CORRENDO A MALHA EM Z!!!!! + for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) # CORRENDO A MALHA EM Z!!!!! - for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) % CORRENDO A MALHA EM THETA!!!!! + for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) # CORRENDO A MALHA EM THETA!!!!! if kj==1 - vector_mi(1,:)=mi(ki,kj,:); - vector_mi(2,:)=mi(ki,kj+1,:); - vector_mi(3,:)=mi(ki,kj,:); + vector_mi(1,:)=mi(ki,kj,:) + vector_mi(2,:)=mi(ki,kj+1,:) + vector_mi(3,:)=mi(ki,kj,:) end if kj==ntheta - vector_mi(1,:)=mi(ki,kj,:); - vector_mi(2,:)=mi(ki,kj,:); - vector_mi(3,:)=mi(ki,kj-1,:); + vector_mi(1,:)=mi(ki,kj,:) + vector_mi(2,:)=mi(ki,kj,:) + vector_mi(3,:)=mi(ki,kj-1,:) end if kj>1 && kj1 && kj1 && ki1 && ki1 && kj1 && ki1 && kj Date: Tue, 27 Oct 2020 10:53:21 -0300 Subject: [PATCH 009/138] Continued conversions 006 --- ross/fluid_flow/tilting_pad.py | 30 +++++++++++++++++------------- 1 file changed, 17 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e5cba9ffd..09c239e7d 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -232,34 +232,38 @@ alpha=psi_pad[n_p] # transformation of coordinates - xryr=np.array([np.cos(sigma(n_p)) , np.sin(sigma(n_p))] ; - [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]) * np.array([[xx]; [yy]]) - xryrpt=[np.cos(sigma(n_p)) np.sin(sigma(n_p)) ; -np.sin(sigma(n_p)) np.cos(sigma(n_p))]*[xpt ; ypt] - xr=xryr(1) - yr=xryr(2) + xryr=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))]; + [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xx]; [yy]]) + + xryrpt=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))]; + [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xpt]; [ypt]]) + + xr=xryr[0] + yr=xryr[1] - xrpt=xryrpt(1) - yrpt=xryrpt(2) + xrpt=xryrpt[0] + yrpt=xryrpt[1] # Temperature matrix with boundary conditions T_novo=T_ref*np.ones(nN+2,ntheta+2) Tcomp=1.2*T_novo - while norm((T_novo-Tcomp)/norm(Tcomp))>0.01 # LOOP DA TEMPERATURA DO OLEO!!!!! + while np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01 # LOOP DA TEMPERATURA DO OLEO!!!!! + mi=minovo Tcomp=T_novo - nk=(nZ)*(ntheta) - K_null=np.zeros(1,nk) - Kij_null=np.zeros(nZ,ntheta) + nk=nZ*ntheta + K_null=np.zeros[0,nk] + Kij_null=np.zeros[nZ,ntheta] ki=1 kj=1 k=0; # indice utilizado na vetoriza��o da press�o nn=1 - Mat_coef=np.zeros(nk,nk) - b=np.zeros(nk) + Mat_coef=np.zeros[nk,nk] + b=np.zeros[nk] for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) # CORRENDO A MALHA EM Z!!!!! From 63cd95eafa186843da37dc6adf728c8b7a6dd96f Mon Sep 17 00:00:00 2001 From: verg1lio Date: Tue, 27 Oct 2020 14:57:12 -0300 Subject: [PATCH 010/138] Continued conversions 007 --- ross/fluid_flow/tilting_pad.py | 48 +++++++++++++++++----------------- 1 file changed, 24 insertions(+), 24 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 09c239e7d..e21ac9517 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -265,40 +265,40 @@ Mat_coef=np.zeros[nk,nk] b=np.zeros[nk] - for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) # CORRENDO A MALHA EM Z!!!!! + # for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) # CORRENDO A MALHA EM Z!!!!! + for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): # CORRENDO A MALHA EM Z!!!!! - for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) # CORRENDO A MALHA EM THETA!!!!! + # for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) # CORRENDO A MALHA EM THETA!!!!! + for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): # CORRENDO A MALHA EM THETA!!!!! - if kj==1 - vector_mi(1,:)=mi(ki,kj,:) - vector_mi(2,:)=mi(ki,kj+1,:) - vector_mi(3,:)=mi(ki,kj,:) - end + if kj==1 : + vector_mi[0,]=mi[ki,kj,] + vector_mi[1,]=mi[ki,kj+1,] + vector_mi[2,]=mi[ki,kj,] - if kj==ntheta - vector_mi(1,:)=mi(ki,kj,:) - vector_mi(2,:)=mi(ki,kj,:) - vector_mi(3,:)=mi(ki,kj-1,:) - end + if kj==ntheta : + vector_mi[0,]=mi[ki,kj,] + vector_mi[1,]=mi[ki,kj,] + vector_mi[2,]=mi[ki,kj-1,] - if kj>1 && kj1 and kj Date: Thu, 29 Oct 2020 08:57:44 -0300 Subject: [PATCH 011/138] Continued conversions 008 --- ross/fluid_flow/tilting_pad.py | 27 ++++++++++++++------------- 1 file changed, 14 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e21ac9517..df2e3716b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -301,26 +301,27 @@ auxFF1W[nn+1]=(kk/mi_adW) nn=nn+1 - end + + nn=1 - auxFF0P(1)=auxFF0P(2) - auxFF0P(nN+2)=auxFF0P(nN+1) + auxFF0P[0]=auxFF0P[1] + auxFF0P[nN+1]=auxFF0P[nN] - auxFF1P(1)=0 - auxFF1P(nN+2)=(N2/(vector_mi(1,nN)/mi_ref)) + auxFF1P[0]=0 + auxFF1P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref)) - auxFF0E(1)=auxFF0E(2) - auxFF0E(nN+2)=auxFF0E(nN+1) + auxFF0E[0]=auxFF0E[1] + auxFF0E[nN+1]=auxFF0E[nN] - auxFF1E(1)=0 - auxFF1E(nN+2)=(N2/(vector_mi(2,nN)/mi_ref)) + auxFF1E[0]=0 + auxFF1E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref)) - auxFF0W(1)=auxFF0W(2) - auxFF0W(nN+2)=auxFF0W(nN+1) + auxFF0W[0]=auxFF0W[1] + auxFF0W[nN+1]=auxFF0W[nN] - auxFF1W(1)=0 - auxFF1W(nN+2)=(N2/(vector_mi(3,nN)/mi_ref)) + auxFF1W[0]=0 + auxFF1W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref)) FF0P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0P(2:end)+auxFF0P(1:end-1))) FF1P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF1P(2:end)+auxFF1P(1:end-1))) From 9f125c56cbb9cbe0d50e98028b566ac384d200ce Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 09:03:38 -0300 Subject: [PATCH 012/138] Continued conversions 009 --- ross/fluid_flow/tilting_pad.py | 30 ++++++++++++++++-------------- 1 file changed, 16 insertions(+), 14 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index df2e3716b..1dbf0be62 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -323,29 +323,31 @@ auxFF1W[0]=0 auxFF1W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref)) - FF0P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0P(2:end)+auxFF0P(1:end-1))) - FF1P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF1P(2:end)+auxFF1P(1:end-1))) - FF0E=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0E(2:end)+auxFF0E(1:end-1))) - FF1E=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF1E(2:end)+auxFF1E(1:end-1))) - FF0W=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0W(2:end)+auxFF0W(1:end-1))) - FF1W=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF1W(2:end)+auxFF1W(1:end-1))) + FF0P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0P[1:]+auxFF0P[0:-2])) + FF1P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1P[1:]+auxFF1P[0:-2])) + FF0E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0E[1:]+auxFF0E[0:-2])) + FF1E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1E[1:]+auxFF1E[0:-2])) + FF0W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0W[1:]+auxFF0W[0:-2])) + FF1W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1W[1:]+auxFF1W[0:-2])) FF0e=0.5*(FF0P+FF0E) FF0w=0.5*(FF0P+FF0W) FF1e=0.5*(FF1P+FF1E) FF1w=0.5*(FF1P+FF1W) - for kk=N1+0.5*dN:dN:N2-0.5*dN + # for kk=N1+0.5*dN:dN:N2-0.5*dN + for kk in range(N1+0.5*dN, dN, N2-0.5*dN): - mi_adP=vector_mi(1,nN+1-nn)/mi_ref - mi_adE=vector_mi(2,nN+1-nn)/mi_ref - mi_adW=vector_mi(3,nN+1-nn)/mi_ref + mi_adP=vector_mi[0,nN-nn]/mi_ref + mi_adE=vector_mi[1,nN-nn]/mi_ref + mi_adW=vector_mi[2,nN-nn]/mi_ref - auxFF2P(nn+1)=(kk/mi_adP)*(kk-FF1P/FF0P) - auxFF2E(nn+1)=(kk/mi_adE)*(kk-FF1E/FF0E) - auxFF2W(nn+1)=(kk/mi_adW)*(kk-FF1W/FF0W) + auxFF2P[nn]=(kk/mi_adP)*(kk-FF1P/FF0P) + auxFF2E[nn]=(kk/mi_adE)*(kk-FF1E/FF0E) + auxFF2W[nn]=(kk/mi_adW)*(kk-FF1W/FF0W) nn=nn+1 - end + + nn=1 auxFF2P(1)=0 From 60a44e7efeb12756ca3e7b054885947e01c30e34 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 09:04:15 -0300 Subject: [PATCH 013/138] Continued conversions 010 --- ross/fluid_flow/tilting_pad.py | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1dbf0be62..e50147fc0 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -224,10 +224,6 @@ for ii in range(1,nX+2+1): XH[:,ii] = Xtheta[ii] - -################### from here downwards, still in the works - - for n_p in range(1,npad+1): # LOOP NAS PADS!!!!! alpha=psi_pad[n_p] @@ -348,6 +344,8 @@ nn=nn+1 +################### from here downwards, still in the works + nn=1 auxFF2P(1)=0 From 2aa69cb3812ed3f578d1d0b039688147fc79e21d Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 11:09:23 -0300 Subject: [PATCH 014/138] Continued conversions 011 --- ross/fluid_flow/tilting_pad.py | 26 ++++++++++++++------------ 1 file changed, 14 insertions(+), 12 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e50147fc0..96fedd93b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -343,30 +343,32 @@ auxFF2W[nn]=(kk/mi_adW)*(kk-FF1W/FF0W) nn=nn+1 - -################### from here downwards, still in the works - nn=1 - auxFF2P(1)=0 - auxFF2P(nN+2)=(N2/(vector_mi(1,nN)/mi_ref))*(N2-FF1P/FF0P) + auxFF2P[0]=0 + auxFF2P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref))*(N2-FF1P/FF0P) - auxFF2E(1)=0 - auxFF2E(nN+2)=(N2/(vector_mi(2,nN)/mi_ref))*(N2-FF1P/FF0P) + auxFF2E[0]=0 + auxFF2E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref))*(N2-FF1P/FF0P) - auxFF2W(1)=0 - auxFF2W(nN+2)=(N2/(vector_mi(3,nN)/mi_ref))*(N2-FF1P/FF0P) + auxFF2W[0]=0 + auxFF2W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref))*(N2-FF1P/FF0P) # INTEGRAÇÕES - FF2P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF2P(2:end)+auxFF2P(1:end-1))) - FF2E=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF2E(2:end)+auxFF2E(1:end-1))) - FF2W=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF2W(2:end)+auxFF2W(1:end-1))) + FF2P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2P[1:]+auxFF2P[0:-2])) + FF2E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2E[1:]+auxFF2E[0:-2])) + FF2W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2W[1:]+auxFF2W[0:-2])) FF2e=0.5*(FF2P+FF2E) FF2w=0.5*(FF2P+FF2W) FF2n=FF2P FF2s=FF2n + + +################### from here downwards, still in the works + + # espessura do filme adimensional hP=(Rs-R-(sin(jj)*(yr+alpha*(Rs+esp))+cos(jj)*(xr+Rs-R-Cr)))/Cr he=(Rs-R-(sin(jj+0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(jj+0.5*dtheta)*(xr+Rs-R-Cr)))/Cr From 2dd707f1a12e2f0e29a717f3e5fa06ee91696522 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 11:19:54 -0300 Subject: [PATCH 015/138] Continued conversions 012 --- ross/fluid_flow/tilting_pad.py | 26 ++++++++++++-------------- 1 file changed, 12 insertions(+), 14 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 96fedd93b..d86e0fb08 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -365,27 +365,25 @@ FF2s=FF2n - -################### from here downwards, still in the works - - # espessura do filme adimensional - hP=(Rs-R-(sin(jj)*(yr+alpha*(Rs+esp))+cos(jj)*(xr+Rs-R-Cr)))/Cr - he=(Rs-R-(sin(jj+0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(jj+0.5*dtheta)*(xr+Rs-R-Cr)))/Cr - hw=(Rs-R-(sin(jj-0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(jj-0.5*dtheta)*(xr+Rs-R-Cr)))/Cr + hP=(Rs-R-(np.sin(jj)*(yr+alpha*(Rs+esp))+np.cos(jj)*(xr+Rs-R-Cr)))/Cr + he=(Rs-R-(np.sin(jj+0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj+0.5*dtheta)*(xr+Rs-R-Cr)))/Cr + hw=(Rs-R-(np.sin(jj-0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj-0.5*dtheta)*(xr+Rs-R-Cr)))/Cr hn=hP hs=hn - hpt=-(1/(Cr*war))*(cos(jj)*xrpt+sin(jj)*yrpt+sin(jj)*(Rs+esp)*alphapt) # adimensional + hpt=-(1/(Cr*war))*(np.cos(jj)*xrpt+np.sin(jj)*yrpt+np.sin(jj)*(Rs+esp)*alphapt) # adimensional - CE=1/(betha_s)^2*(FF2e*he^3)*dZ/dX - CW=1/(betha_s)^2*(FF2w*hw^3)*dZ/dX - CN=(FF2n*hn^3)*(dX/dZ)*(Rs/L)^2 - CS=(FF2s*hs^3)*(dX/dZ)*(Rs/L)^2 + CE=1/(betha_s)**2*(FF2e*he**3)*dZ/dX + CW=1/(betha_s)**2*(FF2w*hw**3)*dZ/dX + CN=(FF2n*hn**3)*(dX/dZ)*(Rs/L)**2 + CS=(FF2s*hs**3)*(dX/dZ)*(Rs/L)**2 CP=-(CE+CW+CN+CS) B=(R/(Rs*betha_s))*dZ*(he*(1-FF1e/FF0e)-hw*(1-FF1w/FF0w))+hpt*dX*dZ k=k+1 - b(k,1)=B - hhh(k,n_p)=hP*Cr + b[k,0]=B + hhh[k,n_p]=hP*Cr + +###################### BREAK HERE FOR NOW! if ki==1 && kj==1 Mat_coef(k,k)=CP-CN-CW From fc8a0422553fb9c15467e350c37ab2a02c6f14af Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 11:24:53 -0300 Subject: [PATCH 016/138] Continued conversions 013 --- ross/fluid_flow/tilting_pad.py | 106 ++++++++++++++++----------------- 1 file changed, 53 insertions(+), 53 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index d86e0fb08..01aee240a 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -383,67 +383,67 @@ b[k,0]=B hhh[k,n_p]=hP*Cr -###################### BREAK HERE FOR NOW! - - if ki==1 && kj==1 - Mat_coef(k,k)=CP-CN-CW - Mat_coef(k,k+1)=CE - Mat_coef(k,k+ntheta)=CS - end + if (ki==1 and kj==1): + Mat_coef[k,k]=CP-CN-CW + Mat_coef[k,k+1]=CE + Mat_coef[k,k+ntheta]=CS - if ki==1 && kj>1 && kj1 and kj1 && ki1 && ki1 && kj1 && ki1 and ki1 && kj1 and ki1 and kj1 and ki1 and kj Date: Thu, 29 Oct 2020 12:32:38 -0300 Subject: [PATCH 017/138] Continued conversions 014 --- ross/fluid_flow/tilting_pad.py | 15 +++++++-------- 1 file changed, 7 insertions(+), 8 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 01aee240a..62de0ef61 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -442,21 +442,20 @@ Mat_coef[k,k-1]=CW Mat_coef[k,k-ntheta]=CN -################### BREAK HERE!!! - if isempty(find(drop_pressure_Ele_nZ==ki+1))==0 & isempty(find(drop_pressure_Ele_ntetha==kj+1))==0 - K_null(k)=k - Kij_null(ki,kj)=1 - end + K_null[k]=k + Kij_null[ki,kj]=1 kj=kj+1 - end + # loop end + kj=1 ki=ki+1 - - end + # loop end + + # %%%%%%%%%%%%%%%%%%%%%% Solu��o do Campo de Press�o %%%%%%%%%%%%%%%%%%%% From 681d6d11d378cdeba3815d90d89bbde7b22a4d98 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 29 Oct 2020 13:48:26 -0300 Subject: [PATCH 018/138] Black formatiing application --- ross/defects/abs_defect.py | 10 ++- ross/defects/integrate_solver.py | 2 +- ross/defects/misalignment.py | 64 +++++++++++--------- ross/fluid_flow/fluid_flow.py | 34 ++++------- ross/fluid_flow/fluid_flow_coefficients.py | 16 +++-- ross/fluid_flow/tilting_pad.py | 4 +- ross/results.py | 9 ++- ross/rotor_assembly.py | 2 +- ross/stochastic/st_disk_element.py | 35 +++++++++-- ross/stochastic/st_materials.py | 7 ++- ross/stochastic/st_point_mass.py | 22 ++++++- ross/stochastic/st_results.py | 12 +++- ross/stochastic/st_shaft_element.py | 6 +- ross/tests/test_fluid_flow.py | 7 ++- ross/tests/test_materials.py | 6 +- ross/tests/test_stochastic_elements.py | 6 +- ross/tests/test_stochastic_rotor_assembly.py | 46 +++++++++++--- 17 files changed, 203 insertions(+), 85 deletions(-) diff --git a/ross/defects/abs_defect.py b/ross/defects/abs_defect.py index 0dba4d294..13bdea26d 100644 --- a/ross/defects/abs_defect.py +++ b/ross/defects/abs_defect.py @@ -32,10 +32,14 @@ def run_time_response(self): return results def plot_dfft( - self, probe, probe_units="rad", range_freq=None, fig=None, **kwargs, + self, + probe, + probe_units="rad", + range_freq=None, + fig=None, + **kwargs, ): - """ - """ + """""" if fig is None: fig = go.Figure() diff --git a/ross/defects/integrate_solver.py b/ross/defects/integrate_solver.py index b9bdf230c..1020de1ac 100644 --- a/ross/defects/integrate_solver.py +++ b/ross/defects/integrate_solver.py @@ -12,7 +12,7 @@ class Integrator: """A series of Runge-Kutta time integration algorithms. - + Calculates the time response for the rotors input to the routine. Parameters diff --git a/ross/defects/misalignment.py b/ross/defects/misalignment.py index 9a992762a..f406c4521 100644 --- a/ross/defects/misalignment.py +++ b/ross/defects/misalignment.py @@ -27,8 +27,8 @@ class MisalignmentFlex(Defect): """A flexible coupling with misalignment of some kind. - - Calculates the dynamic reaction force of hexangular flexible coupling + + Calculates the dynamic reaction force of hexangular flexible coupling induced by 6DOF's rotor parallel and angular misalignment. Parameters @@ -66,15 +66,15 @@ class MisalignmentFlex(Defect): print_progress : bool Set it True, to print the time iterations and the total time spent. False by default. - + Returns ------- A force to be applied on the shaft. References ---------- - .. [1] 'Xia, Y., Pang, J., Yang, L., Zhao, Q., & Yang, X. (2019). Study on vibration response - and orbits of misaligned rigid rotors connected by hexangular flexible coupling. Applied + .. [1] 'Xia, Y., Pang, J., Yang, L., Zhao, Q., & Yang, X. (2019). Study on vibration response + and orbits of misaligned rigid rotors connected by hexangular flexible coupling. Applied Acoustics, 155, 286-296 .. Examples @@ -147,7 +147,7 @@ def run(self, rotor): ---------- rotor : ross.Rotor Object 6 DoF rotor model. - + """ self.rotor = rotor self.radius = rotor.elements[self.n1].odl / 2 @@ -199,7 +199,12 @@ def run(self, rotor): self.M = self.rotor.M() self.Kst = self.rotor.Kst() - _, ModMat = scipy.linalg.eigh(self.K, self.M, type=1, turbo=False,) + _, ModMat = scipy.linalg.eigh( + self.K, + self.M, + type=1, + turbo=False, + ) ModMat = ModMat[:, :12] self.ModMat = ModMat @@ -278,7 +283,7 @@ def run(self, rotor): self.response = self.ModMat.dot(self.displacement) def _equation_of_movement(self, T, Y, i): - """ Calculates the displacement and velocity using state-space representation in the modal domain. + """Calculates the displacement and velocity using state-space representation in the modal domain. Parameters ---------- @@ -318,14 +323,14 @@ def _equation_of_movement(self, T, Y, i): def _parallel(self, angular_position): """Reaction forces of parallel misalignment. - + angular_position : float Angular position of the shaft. - + Returns ------- F_mis_p : array - Excitation force caused by the parallel misalignment on the entire system. + Excitation force caused by the parallel misalignment on the entire system. """ F_mis_p = np.zeros((self.ndof, len(angular_position))) @@ -434,7 +439,7 @@ def _angular(self, angular_position): angular_position : float Angular position of the shaft. - + Returns ------- F_mis_a : array @@ -494,7 +499,7 @@ def _combined(self, angular_position): angular_position : float Angular position of the shaft. - + Returns ------- F_misalign : array @@ -506,8 +511,8 @@ def _combined(self, angular_position): class MisalignmentRigid(Defect): """A rigid coupling with parallel misalignment. - - Calculates the dynamic reaction force of hexangular rigid coupling + + Calculates the dynamic reaction force of hexangular rigid coupling induced by 6DOF's rotor parallel misalignment. Parameters @@ -595,7 +600,7 @@ def run(self, rotor): ---------- rotor : ross.Rotor Object 6 DoF rotor model. - + """ self.rotor = rotor self.ndof = rotor.ndof @@ -642,7 +647,12 @@ def run(self, rotor): self.M = self.rotor.M() self.Kst = self.rotor.Kst() - _, ModMat = scipy.linalg.eigh(self.K, self.M, type=1, turbo=False,) + _, ModMat = scipy.linalg.eigh( + self.K, + self.M, + type=1, + turbo=False, + ) ModMat = ModMat[:, :12] self.ModMat = ModMat @@ -742,7 +752,7 @@ def run(self, rotor): self.response = self.ModMat.dot(self.displacement) def _equation_of_movement(self, T, Y, i): - """ Calculates the displacement and velocity using state-space representation in the modal domain. + """Calculates the displacement and velocity using state-space representation in the modal domain. Parameters ---------- @@ -799,7 +809,7 @@ def _equation_of_movement(self, T, Y, i): def _parallel(self, positions, fir): """Reaction forces of parallel misalignment. - + Returns ------- Fmis : array @@ -944,8 +954,8 @@ def base_rotor_example(): def misalignment_flex_parallel_example(): """Create an example of a flexible parallel misalignment defect. - This function returns an instance of a flexible parallel misalignment - defect. The purpose is to make available a simple model so that a + This function returns an instance of a flexible parallel misalignment + defect. The purpose is to make available a simple model so that a doctest can be written using it. Returns @@ -988,8 +998,8 @@ def misalignment_flex_parallel_example(): def misalignment_flex_angular_example(): """Create an example of a flexible angular misalignment defect. - This function returns an instance of a flexible angular misalignment - defect. The purpose is to make available a simple model so that a + This function returns an instance of a flexible angular misalignment + defect. The purpose is to make available a simple model so that a doctest can be written using it. Returns @@ -1032,8 +1042,8 @@ def misalignment_flex_angular_example(): def misalignment_flex_combined_example(): """Create an example of a flexible combined misalignment defect. - This function returns an instance of a flexible combined misalignment - defect. The purpose is to make available a simple model so that a + This function returns an instance of a flexible combined misalignment + defect. The purpose is to make available a simple model so that a doctest can be written using it. Returns @@ -1076,8 +1086,8 @@ def misalignment_flex_combined_example(): def misalignment_rigid_example(): """Create an example of a rigid misalignment defect. - This function returns an instance of a rigid misalignment - defect. The purpose is to make available a simple model so that a + This function returns an instance of a rigid misalignment + defect. The purpose is to make available a simple model so that a doctest can be written using it. Returns diff --git a/ross/fluid_flow/fluid_flow.py b/ross/fluid_flow/fluid_flow.py index a3e42073b..fb36652bb 100644 --- a/ross/fluid_flow/fluid_flow.py +++ b/ross/fluid_flow/fluid_flow.py @@ -423,28 +423,18 @@ def calculate_pressure_matrix_analytical(self, method=0, force_type=None): for i in range(0, self.nz): for j in range(0, self.ntheta): self.p_mat_analytical[i, j] = ( - ( - 6 - * self.viscosity - * self.omega - * (self.radius_rotor / self.radial_clearance) ** 2 - * self.eccentricity_ratio - * np.sin(self.dtheta * j) - * ( - 2 - + self.eccentricity_ratio * np.cos(self.dtheta * j) - ) - ) - / ( - (2 + self.eccentricity_ratio ** 2) - * ( - 1 - + self.eccentricity_ratio * np.cos(self.dtheta * j) - ) - ** 2 - ) - + self.p_in - ) + 6 + * self.viscosity + * self.omega + * (self.radius_rotor / self.radial_clearance) ** 2 + * self.eccentricity_ratio + * np.sin(self.dtheta * j) + * (2 + self.eccentricity_ratio * np.cos(self.dtheta * j)) + ) / ( + (2 + self.eccentricity_ratio ** 2) + * (1 + self.eccentricity_ratio * np.cos(self.dtheta * j)) + ** 2 + ) + self.p_in if self.p_mat_analytical[i, j] < 0: self.p_mat_analytical[i, j] = 0 elif self.bearing_type == "medium_size" or self.shape_geometry != "cylindrical": diff --git a/ross/fluid_flow/fluid_flow_coefficients.py b/ross/fluid_flow/fluid_flow_coefficients.py index 7d11423b2..4a09551f2 100644 --- a/ross/fluid_flow/fluid_flow_coefficients.py +++ b/ross/fluid_flow/fluid_flow_coefficients.py @@ -423,7 +423,12 @@ def residuals(x, *args): ) bearing.geometry_description() bearing.calculate_pressure_matrix_numerical() - (_, _, fx, fy,) = calculate_oil_film_force(bearing, force_type="numerical") + ( + _, + _, + fx, + fy, + ) = calculate_oil_film_force(bearing, force_type="numerical") return np.array([fx, (fy - bearing.load)]) if fluid_flow_object.load is None: @@ -437,9 +442,12 @@ def residuals(x, *args): move_rotor_center_abs(fluid_flow_object, x0[0], x0[1]) fluid_flow_object.geometry_description() fluid_flow_object.calculate_pressure_matrix_numerical() - (_, _, fx, fy,) = calculate_oil_film_force( - fluid_flow_object, force_type="numerical" - ) + ( + _, + _, + fx, + fy, + ) = calculate_oil_film_force(fluid_flow_object, force_type="numerical") result = least_squares( residuals, x0, diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 62de0ef61..7cd125dc0 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -245,7 +245,7 @@ Tcomp=1.2*T_novo - while np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01 # LOOP DA TEMPERATURA DO OLEO!!!!! + while (np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01): # LOOP DA TEMPERATURA DO OLEO!!!!! mi=minovo Tcomp=T_novo @@ -443,7 +443,7 @@ Mat_coef[k,k-ntheta]=CN - if isempty(find(drop_pressure_Ele_nZ==ki+1))==0 & isempty(find(drop_pressure_Ele_ntetha==kj+1))==0 + if (isempty(find(drop_pressure_Ele_nZ==ki+1))==0 & isempty(find(drop_pressure_Ele_ntetha==kj+1))==0): K_null[k]=k Kij_null[ki,kj]=1 diff --git a/ross/results.py b/ross/results.py index 157cdee1c..a95b6c833 100644 --- a/ross/results.py +++ b/ross/results.py @@ -2140,7 +2140,8 @@ def plot_bending_moment( fig.update_xaxes(title_text=f"Rotor Length ({rotor_length_units})") fig.update_yaxes( - title_text=f"Bending Moment ({moment_units})", title_font=dict(size=12), + title_text=f"Bending Moment ({moment_units})", + title_font=dict(size=12), ) fig.update_layout(**kwargs) @@ -2257,7 +2258,11 @@ def plot_deflected_shape( text=f"Deflected Shape
Speed = {speed_str} {frequency_units}", ), legend=dict( - orientation="h", xanchor="center", yanchor="bottom", x=0.5, y=-0.3, + orientation="h", + xanchor="center", + yanchor="bottom", + x=0.5, + y=-0.3, ), width=800, height=600, diff --git a/ross/rotor_assembly.py b/ross/rotor_assembly.py index 88023764b..f96b8f0f7 100644 --- a/ross/rotor_assembly.py +++ b/ross/rotor_assembly.py @@ -2377,7 +2377,7 @@ def run_misalignment(self, coupling="flex", **kwargs): Coupling type. The avaible types are: flex, by default; and rigid. **kwargs: dictionary - + In the case of coupling = "flex", **kwargs receives: dt : float Time step. diff --git a/ross/stochastic/st_disk_element.py b/ross/stochastic/st_disk_element.py index fa057d809..348535218 100644 --- a/ross/stochastic/st_disk_element.py +++ b/ross/stochastic/st_disk_element.py @@ -56,7 +56,14 @@ class ST_DiskElement: """ def __init__( - self, n, m, Id, Ip, tag=None, color="Firebrick", is_random=None, + self, + n, + m, + Id, + Ip, + tag=None, + color="Firebrick", + is_random=None, ): attribute_dict = dict(n=n, m=m, Id=Id, Ip=Ip, tag=tag, color=color) @@ -218,7 +225,9 @@ def plot_random_var(self, var_list=None, histogram_kwargs=None, plot_kwargs=None >>> # fig.show() """ label = dict( - m="Mass", Id="Diametral moment of inertia", Ip="Polar moment of inertia", + m="Mass", + Id="Diametral moment of inertia", + Ip="Polar moment of inertia", ) if var_list is None: var_list = self.is_random @@ -235,7 +244,14 @@ def plot_random_var(self, var_list=None, histogram_kwargs=None, plot_kwargs=None @classmethod def from_geometry( - cls, n, material, width, i_d, o_d, tag=None, is_random=None, + cls, + n, + material, + width, + i_d, + o_d, + tag=None, + is_random=None, ): """Random disk element. @@ -297,7 +313,12 @@ def from_geometry( o_d = np.array(o_d) attribute_dict = dict( - n=n, material=material, width=width, i_d=i_d, o_d=o_d, tag=tag, + n=n, + material=material, + width=width, + i_d=i_d, + o_d=o_d, + tag=tag, ) size = len(attribute_dict[is_random[0]]) @@ -340,6 +361,10 @@ def st_disk_example(): 2 """ elm = ST_DiskElement( - n=1, m=[30, 40], Id=[0.2, 0.3], Ip=[0.5, 0.7], is_random=["m", "Id", "Ip"], + n=1, + m=[30, 40], + Id=[0.2, 0.3], + Ip=[0.5, 0.7], + is_random=["m", "Id", "Ip"], ) return elm diff --git a/ross/stochastic/st_materials.py b/ross/stochastic/st_materials.py index d0f95f2ac..b4761969f 100644 --- a/ross/stochastic/st_materials.py +++ b/ross/stochastic/st_materials.py @@ -91,7 +91,12 @@ def __init__( Poisson = np.asarray(Poisson) attribute_dict = dict( - name=name, rho=rho, E=E, G_s=G_s, Poisson=Poisson, color=color, + name=name, + rho=rho, + E=E, + G_s=G_s, + Poisson=Poisson, + color=color, ) self.is_random = is_random self.attribute_dict = attribute_dict diff --git a/ross/stochastic/st_point_mass.py b/ross/stochastic/st_point_mass.py index 86205b0aa..107da7e1b 100644 --- a/ross/stochastic/st_point_mass.py +++ b/ross/stochastic/st_point_mass.py @@ -57,9 +57,23 @@ class ST_PointMass: """ def __init__( - self, n, m=None, mx=None, my=None, tag=None, color="DarkSalmon", is_random=None, + self, + n, + m=None, + mx=None, + my=None, + tag=None, + color="DarkSalmon", + is_random=None, ): - attribute_dict = dict(n=n, m=m, mx=mx, my=my, tag=tag, color=color,) + attribute_dict = dict( + n=n, + m=m, + mx=mx, + my=my, + tag=tag, + color=color, + ) self.is_random = is_random self.attribute_dict = attribute_dict @@ -217,7 +231,9 @@ def plot_random_var(self, var_list=None, histogram_kwargs=None, plot_kwargs=None >>> # fig.show() """ label = dict( - mx="Mass on the X direction", my="Mass on the Y direction", m="Mass", + mx="Mass on the X direction", + my="Mass on the Y direction", + m="Mass", ) if var_list is None: var_list = self.is_random diff --git a/ross/stochastic/st_results.py b/ross/stochastic/st_results.py index 0af9c7448..13a86b324 100644 --- a/ross/stochastic/st_results.py +++ b/ross/stochastic/st_results.py @@ -375,7 +375,11 @@ def __init__(self, speed_range, magnitude, phase): self.phase = phase def plot_magnitude( - self, percentile=[], conf_interval=[], units="mic-pk-pk", **kwargs, + self, + percentile=[], + conf_interval=[], + units="mic-pk-pk", + **kwargs, ): """Plot amplitude vs frequency. @@ -611,7 +615,11 @@ def plot_phase(self, percentile=[], conf_interval=[], **kwargs): return fig def plot_polar_bode( - self, percentile=[], conf_interval=[], units="mic-pk-pk", **kwargs, + self, + percentile=[], + conf_interval=[], + units="mic-pk-pk", + **kwargs, ): """Plot polar forced response using Plotly. diff --git a/ross/stochastic/st_shaft_element.py b/ross/stochastic/st_shaft_element.py index d735ddf5f..6485262e6 100644 --- a/ross/stochastic/st_shaft_element.py +++ b/ross/stochastic/st_shaft_element.py @@ -338,6 +338,10 @@ def st_shaft_example(): from ross.materials import steel elm = ST_ShaftElement( - L=[1.0, 1.1], idl=0.0, odl=[0.1, 0.2], material=steel, is_random=["L", "odl"], + L=[1.0, 1.1], + idl=0.0, + odl=[0.1, 0.2], + material=steel, + is_random=["L", "odl"], ) return elm diff --git a/ross/tests/test_fluid_flow.py b/ross/tests/test_fluid_flow.py index 40402f70a..1a0acf29d 100644 --- a/ross/tests/test_fluid_flow.py +++ b/ross/tests/test_fluid_flow.py @@ -320,7 +320,12 @@ def test_plots(): def test_find_equilibrium_position(): bearing = fluid_flow_example2() - (n, t, force_x, force_y,) = calculate_oil_film_force(bearing) + ( + n, + t, + force_x, + force_y, + ) = calculate_oil_film_force(bearing) assert math.isclose(force_x, 0, abs_tol=1e-4) assert math.isclose(force_y, bearing.load, abs_tol=1e-2) diff --git a/ross/tests/test_materials.py b/ross/tests/test_materials.py index 6e9a23d73..36de27fd9 100644 --- a/ross/tests/test_materials.py +++ b/ross/tests/test_materials.py @@ -7,7 +7,11 @@ @pytest.fixture def AISI4140(): return Material( - name="AISI4140", rho=7850, E=203200000000.0, G_s=80000000000.0, color="#525252", + name="AISI4140", + rho=7850, + E=203200000000.0, + G_s=80000000000.0, + color="#525252", ) diff --git a/ross/tests/test_stochastic_elements.py b/ross/tests/test_stochastic_elements.py index c8e8df3de..4319a567d 100644 --- a/ross/tests/test_stochastic_elements.py +++ b/ross/tests/test_stochastic_elements.py @@ -33,7 +33,11 @@ def rand_shaft(): @pytest.fixture def rand_disk_from_inertia(): elm = ST_DiskElement( - n=1, m=[30, 40], Id=[0.2, 0.3], Ip=[0.5, 0.7], is_random=["m", "Id", "Ip"], + n=1, + m=[30, 40], + Id=[0.2, 0.3], + Ip=[0.5, 0.7], + is_random=["m", "Id", "Ip"], ) return elm diff --git a/ross/tests/test_stochastic_rotor_assembly.py b/ross/tests/test_stochastic_rotor_assembly.py index ef8e5ab34..8068c32c7 100644 --- a/ross/tests/test_stochastic_rotor_assembly.py +++ b/ross/tests/test_stochastic_rotor_assembly.py @@ -48,7 +48,11 @@ def rotor1(): ############################################################################### def test_st_shaft_elements_odd_length(): tim0 = ST_ShaftElement( - L=[1, 1.1], idl=0, odl=[0.1, 0.2], material=steel, is_random=["L", "odl"], + L=[1, 1.1], + idl=0, + odl=[0.1, 0.2], + material=steel, + is_random=["L", "odl"], ) tim1 = ST_ShaftElement( L=[1, 1.1, 1.2], @@ -78,17 +82,33 @@ def test_st_disk_elements_odd_length(): def test_st_bearing_elements_odd_length(): - tim0 = ShaftElement(L=0.25, idl=0, odl=0.05, material=steel,) - tim1 = ShaftElement(L=0.25, idl=0, odl=0.05, material=steel,) + tim0 = ShaftElement( + L=0.25, + idl=0, + odl=0.05, + material=steel, + ) + tim1 = ShaftElement( + L=0.25, + idl=0, + odl=0.05, + material=steel, + ) shaft_elm = [tim0, tim1] disk0 = DiskElement(n=1, m=20, Id=1, Ip=1) brg0 = ST_BearingElement( - n=0, kxx=[1e6, 2e6], cxx=[1e3, 2e3], is_random=["kxx", "cxx"], + n=0, + kxx=[1e6, 2e6], + cxx=[1e3, 2e3], + is_random=["kxx", "cxx"], ) brg1 = ST_BearingElement( - n=2, kxx=[1e6, 2e6, 3e6], cxx=[1e3, 2e3, 3e3], is_random=["kxx", "cxx"], + n=2, + kxx=[1e6, 2e6, 3e6], + cxx=[1e3, 2e3, 3e3], + is_random=["kxx", "cxx"], ) with pytest.raises(ValueError) as ex: @@ -118,7 +138,11 @@ def test_st_point_mass_elements_odd_length(): def test_elements_odd_length(): tim0 = ST_ShaftElement( - L=[1, 1.1], idl=0, odl=[0.1, 0.2], material=steel, is_random=["L", "odl"], + L=[1, 1.1], + idl=0, + odl=[0.1, 0.2], + material=steel, + is_random=["L", "odl"], ) shaft_elm = [tim0, tim0] @@ -127,10 +151,16 @@ def test_elements_odd_length(): disks = [disk0, disk1] brg0 = ST_BearingElement( - n=0, kxx=[1e6, 2e6], cxx=[1e3, 2e3], is_random=["kxx", "cxx"], + n=0, + kxx=[1e6, 2e6], + cxx=[1e3, 2e3], + is_random=["kxx", "cxx"], ) brg1 = ST_BearingElement( - n=2, kxx=[1e6, 2e6], cxx=[1e3, 2e3], is_random=["kxx", "cxx"], + n=2, + kxx=[1e6, 2e6], + cxx=[1e3, 2e3], + is_random=["kxx", "cxx"], ) bearings = [brg0, brg1] From ebc0fed0518faae1b1bb5d4e197ddb3589139795 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 12:17:30 -0300 Subject: [PATCH 019/138] Continued conversions 015 --- ross/fluid_flow/tilting_pad.py | 92 +++++++++++++++++++++++++--------- 1 file changed, 67 insertions(+), 25 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 7cd125dc0..c89dcdefe 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -5,7 +5,7 @@ -state of numerical convergence. These properties can then be exported to external files, and used in the bearing_seal_element.py routine inside the ROSS framework. This routine can also be used for bearing properties esti- -mation for other purposes. +mation for general purposes. """ @@ -68,6 +68,7 @@ Tmax """ +# optim values from legacy codes # x=[0.000321298907440948 0.000218101024776208 0.000241891712348458 0.000385504446042090 0.000516992650533115 0.000460227890390222]; psi_pad = np.array([x[1], x[2], x[3], x[4], x[5], x[6]]) @@ -76,7 +77,7 @@ # Radial clearance Cr = 250e-6 -# Temperature of oil tank +# Oil tank temperature Tcuba = 40 # Rotor center position @@ -85,7 +86,7 @@ alphapt = 0 * (2 * pi * 5) * alpha -# Geometric parameters of bearing -------------------------------------------- +# Geometric parameters for the bearing -------------------------------------------- # Journal radius R = 0.5 * 930e-3 @@ -106,12 +107,11 @@ # Bength of bearing L=197e-3 # [m] -# Angular position of pivot -#sigma=0:60:300 # [degree] +# Angular position of the pivot sigma = np.array([0,300,60]) # [degree] sigma= sigma*(np.pi/180) # [rad] -# Loading bearing +# Bearing loading fR=90.6e3 # [N] # Rotor speed @@ -121,7 +121,7 @@ # Reference temperature T_ref=Tcuba # [Celsius] -# Thermal Properties Oil ---------------------------------------------------- +# Thermal properties for the oil ---------------------------------------------------- # Thermal conductivity kt=0.07031*np.exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] @@ -142,7 +142,7 @@ xpt=-(2*np.pi*5)*yy ypt=(2*np.pi*5)*xx -# Discretizated Mesh ------------------------------------------------------ +# Discretized Mesh ------------------------------------------------------ # Number of volumes in theta direction ntheta=48 @@ -153,7 +153,7 @@ # Number of volumes in z direction nZ=48 -# Number of volumes in netha direction +# Number of volumes in neta direction nN=30 Z1=0 # initial coordinate z dimensionless @@ -163,7 +163,6 @@ XZ[1]=Z1 XZ[nZ+2]=Z2 -# XZ(2:nZ+1)=Z1+0.5*dZ:dZ:Z2-0.5*dZ # vector z dimensionless XZ[1:nZ] = Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless XZdim=XZ*L # vector z dimensional [m] @@ -174,7 +173,6 @@ netha[1]=N1 netha[nN+2]=N2 -# netha(2:nN+1)=N1+0.5*dN:dN:N2-0.5*dN # vector netha dimensionless netha[1:nN]=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] @@ -183,7 +181,6 @@ Xtheta[0]=theta1 Xtheta[ntheta+1]=theta2 -# Xtheta(2:ntheta+1)=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta # vector theta [rad] Xtheta[1:ntheta]=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] dX=1/nX # differential x dimensionless @@ -224,7 +221,8 @@ for ii in range(1,nX+2+1): XH[:,ii] = Xtheta[ii] -for n_p in range(1,npad+1): # LOOP NAS PADS!!!!! +# Loop on the pads ========================================================================== +for n_p in range(1,npad+1): alpha=psi_pad[n_p] # transformation of coordinates @@ -240,12 +238,13 @@ xrpt=xryrpt[0] yrpt=xryrpt[1] - # Temperature matrix with boundary conditions + # Temperature matrix with boundary conditions ==================================== T_novo=T_ref*np.ones(nN+2,ntheta+2) Tcomp=1.2*T_novo - while (np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01): # LOOP DA TEMPERATURA DO OLEO!!!!! + # Oil temperature field loop ================================================================ + while (np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01): mi=minovo Tcomp=T_novo @@ -261,11 +260,11 @@ Mat_coef=np.zeros[nk,nk] b=np.zeros[nk] - # for ii=(Z1+0.5*dZ):dZ:(Z2-0.5*dZ) # CORRENDO A MALHA EM Z!!!!! - for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): # CORRENDO A MALHA EM Z!!!!! + # Mesh loop in Z direction ==================================================== + for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): - # for jj=(theta1+0.5*dtheta):dtheta:(theta2-0.5*dtheta) # CORRENDO A MALHA EM THETA!!!!! - for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): # CORRENDO A MALHA EM THETA!!!!! + # Mesh loop in THETA direction ==================================================== + for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): if kj==1 : vector_mi[0,]=mi[ki,kj,] @@ -282,7 +281,7 @@ vector_mi[1,]=mi[ki,kj+1,] vector_mi[2,]=mi[ki,kj-1,] - # for kk=N1+0.5*dN:dN:N2-0.5*dN + # Loop in N for kk in range(N1+0.5*dN, dN, N2-0.5*dN): mi_adP=vector_mi(1,nN+1-nn)/mi_ref @@ -331,7 +330,7 @@ FF1e=0.5*(FF1P+FF1E) FF1w=0.5*(FF1P+FF1W) - # for kk=N1+0.5*dN:dN:N2-0.5*dN + # Loop in N for kk in range(N1+0.5*dN, dN, N2-0.5*dN): mi_adP=vector_mi[0,nN-nn]/mi_ref @@ -354,7 +353,7 @@ auxFF2W[0]=0 auxFF2W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref))*(N2-FF1P/FF0P) - # INTEGRAÇÕES + # integration process =================================================== FF2P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2P[1:]+auxFF2P[0:-2])) FF2E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2E[1:]+auxFF2E[0:-2])) FF2W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2W[1:]+auxFF2W[0:-2])) @@ -365,13 +364,13 @@ FF2s=FF2n - # espessura do filme adimensional + # Admensional oil film thickness ======================================== hP=(Rs-R-(np.sin(jj)*(yr+alpha*(Rs+esp))+np.cos(jj)*(xr+Rs-R-Cr)))/Cr he=(Rs-R-(np.sin(jj+0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj+0.5*dtheta)*(xr+Rs-R-Cr)))/Cr hw=(Rs-R-(np.sin(jj-0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj-0.5*dtheta)*(xr+Rs-R-Cr)))/Cr hn=hP hs=hn - hpt=-(1/(Cr*war))*(np.cos(jj)*xrpt+np.sin(jj)*yrpt+np.sin(jj)*(Rs+esp)*alphapt) # adimensional + hpt=-(1/(Cr*war))*(np.cos(jj)*xrpt+np.sin(jj)*yrpt+np.sin(jj)*(Rs+esp)*alphapt) # admensional CE=1/(betha_s)**2*(FF2e*he**3)*dZ/dX CW=1/(betha_s)**2*(FF2w*hw**3)*dZ/dX @@ -457,7 +456,50 @@ - # %%%%%%%%%%%%%%%%%%%%%% Solu��o do Campo de Press�o %%%%%%%%%%%%%%%%%%%% + # Pressure field solution ============================================================== + cc=find(K_null==0) + p=Mat_coef(cc,cc)\b(cc,cc) # verificar matriz b + + cont=0; + + # Matrix form of the pressure field + + for i=1:nZ + for j=1:ntheta + if isempty(find(drop_pressure_Ele_nZ==i+1))==0 & isempty(find(drop_pressure_Ele_ntetha==j+1))==0 + P(i,j)=0 + else + + cont=cont+1 + P(i,j)=p(cont) + + if P(i,j) < 0 + P(i,j)=0 + + + # Pressure border conditions + + for i=1:nZ + for j=1:ntheta + if P(i,j)<0 + P(i,j)=0; + end + end + end + + % C�lculo da Press�o Dimensional [Pa] + Pdim=P*mi_ref*war*Rs^2/Cr^2; + + % Campo de Press�o Completo - Incluindo os Contornos + PPdim=zeros(nZ+2,ntheta+2); + + for i=2:nZ+1 + for j=2:ntheta+1 + PPdim(i,j)=Pdim(i-1,j-1); + end + end + %%%%%%%%%%%%%%%%%%% Solu��o do Campo de Temperatura %%%%%%%%%%%%%%%%%%% + From 8ae3498605e345baeb274d6acb1925600f9a8651 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 12:29:06 -0300 Subject: [PATCH 020/138] Continued conversions 016 --- ross/fluid_flow/tilting_pad.py | 22 ++++++++++------------ 1 file changed, 10 insertions(+), 12 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index c89dcdefe..564c9441f 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -461,14 +461,13 @@ cc=find(K_null==0) p=Mat_coef(cc,cc)\b(cc,cc) # verificar matriz b - cont=0; + cont=0 - # Matrix form of the pressure field - - for i=1:nZ - for j=1:ntheta + # Matrix form of the pressure field ==================================================== + for i in range(1, nZ): # Loop in Z + for j in range(1, ntheta): # Loop in THETA if isempty(find(drop_pressure_Ele_nZ==i+1))==0 & isempty(find(drop_pressure_Ele_ntetha==j+1))==0 - P(i,j)=0 + P[i,j]=0 else cont=cont+1 @@ -478,12 +477,11 @@ P(i,j)=0 - # Pressure border conditions - - for i=1:nZ - for j=1:ntheta - if P(i,j)<0 - P(i,j)=0; + # Pressure border conditions ==================================================== + for i in range(1, nZ): # Loop in Z + for j in range(1, ntheta): # Loop in THETA + if (P[i,j]<0): + P[i,j]=0 end end end From 750e92490a224660b6bd1625da1085660b1deaef Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 12:37:39 -0300 Subject: [PATCH 021/138] Continued conversions 017 --- ross/fluid_flow/tilting_pad.py | 24 +++++++++++------------- 1 file changed, 11 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 564c9441f..39d38d005 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -475,28 +475,26 @@ if P(i,j) < 0 P(i,j)=0 + - # Pressure border conditions ==================================================== for i in range(1, nZ): # Loop in Z for j in range(1, ntheta): # Loop in THETA if (P[i,j]<0): P[i,j]=0 - end - end - end + - % C�lculo da Press�o Dimensional [Pa] - Pdim=P*mi_ref*war*Rs^2/Cr^2; + # Dimmensional pressure determination in Pascals + Pdim=P*mi_ref*war*Rs^2/Cr^2 - % Campo de Press�o Completo - Incluindo os Contornos - PPdim=zeros(nZ+2,ntheta+2); + # Full pressure field with borders + PPdim=zeros[nZ+2,ntheta+2] + + for i in range(2, nZ+1): # Loop in Z + for j in range(2, ntheta+1): # Loop in THETA + PPdim[i,j]=Pdim[i-1,j-1] + - for i=2:nZ+1 - for j=2:ntheta+1 - PPdim(i,j)=Pdim(i-1,j-1); - end - end %%%%%%%%%%%%%%%%%%% Solu��o do Campo de Temperatura %%%%%%%%%%%%%%%%%%% From 4c911929a51282c9c09168051ca1e999658b8ad5 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 12:45:15 -0300 Subject: [PATCH 022/138] Continued conversions 018 --- ross/fluid_flow/tilting_pad.py | 91 +++++++++++++++++++++++++++++++++- 1 file changed, 90 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 39d38d005..238ac93d3 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -497,5 +497,94 @@ - %%%%%%%%%%%%%%%%%%% Solu��o do Campo de Temperatura %%%%%%%%%%%%%%%%%%% + # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% + # Velocity field calculation + ki=1 + kj=1 + kk=1 + nn=1 + + # Dimensionless Netha loop ==================================================== + for ky in range((N1+0.5*dN), dN, (N2-0.5*dN)): + # Mesh loop in Z direction ==================================================== + for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + # Mesh loop in THETA direction ==================================================== + for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): + + %C�lculo dos Gradientes de Press�o + if ki==1 && kj==1 + dPdx=Pdim(ki,kj)/(0.5*dx) + dPdz=Pdim(ki,kj)/(0.5*dz) + end + + if ki==1 && kj>1 + dPdx=(Pdim(ki,kj)-Pdim(ki,kj-1))/dx + dPdz=Pdim(ki,kj)/(0.5*dz) + end + + if ki>1 && kj==1 + dPdx=Pdim(ki,kj)/(0.5*dx) + dPdz=(Pdim(ki,kj)-Pdim(ki-1,kj))/dz + end + + if ki>1 && kj>1 + dPdx=(Pdim(ki,kj)-Pdim(ki,kj-1))/dx + dPdz=(Pdim(ki,kj)-Pdim(ki-1,kj))/dz + end + + h=Rs-R-(sin(jj)*(yr+alpha*(Rs+esp))+cos(jj)*(xr+Rs-R-Cr)) + %espessura dimensional [m] + + auxFF0 = zeros(1,length(netha)) + auxFF1 = zeros(1,length(netha)) + + for contk=(N1+0.5*dN)*h:(dN*h):(N2-(0.5*dN))*h + auxFF0(nn+1)=1/mi(ki,kj,nN+1-nn) + auxFF1(nn+1)=contk/mi(ki,kj,nN+1-nn) + nn=nn+1 + end + nn=1 + + auxFF0(1)=auxFF0(2) + auxFF0(nN+2)=auxFF0(nN+1) + + auxFF1(1)=0 + auxFF1(nN+2)=(N2*h)/mi(ki,kj,1) + + ydim1=h*netha + FF0=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF0(2:end)+auxFF0(1:end-1))) + FF1=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF1(2:end)+auxFF1(1:end-1))) + + auxG0 = zeros(1,length(N1:dN:ky)) + auxG1 = zeros(1,length(N1:dN:ky)) + ydim2 = zeros(1,length(N1:dN:ky)) + + for contk=(N1+0.5*dN)*h:dN*h:ky*h + auxG0(nn+1)=1/mi(ki,kj,nN+1-nn) + auxG1(nn+1)=contk/mi(ki,kj,nN+1-nn) + ydim2(nn+1)=contk + nn=nn+1 + end + nn=1 + auxG0(1)=auxG0(2) + auxG1(1)=0 + ydim2(1)=N1*h + + G0=0.5*sum((ydim2(2:end)-ydim2(1:end-1)).*(auxG0(2:end)+auxG0(1:end-1))) + G1=0.5*sum((ydim2(2:end)-ydim2(1:end-1)).*(auxG1(2:end)+auxG1(1:end-1))) + + vu(ki,kj,kk)=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0 + vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0 + + kj=kj+1 + end + kj=1 + ki=ki+1 + end + ki=1 + kk=kk+1 + end + + + %AQUI COME�A O CALCULO DA VELOCIDADE RADIAL From a620614d5f96e6b881d183a6257f743a89b35a6d Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 13:26:58 -0300 Subject: [PATCH 023/138] Continued conversions 019 --- ross/fluid_flow/tilting_pad.py | 34 +++++++++++++++++----------------- 1 file changed, 17 insertions(+), 17 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 238ac93d3..62605006a 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -512,26 +512,26 @@ # Mesh loop in THETA direction ==================================================== for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): - %C�lculo dos Gradientes de Press�o - if ki==1 && kj==1 - dPdx=Pdim(ki,kj)/(0.5*dx) - dPdz=Pdim(ki,kj)/(0.5*dz) - end + # Pressure gradients calculation + if (ki==1 and kj==1): + dPdx=Pdim[ki,kj]/(0.5*dx) + dPdz=Pdim[ki,kj]/(0.5*dz) - if ki==1 && kj>1 - dPdx=(Pdim(ki,kj)-Pdim(ki,kj-1))/dx - dPdz=Pdim(ki,kj)/(0.5*dz) - end - if ki>1 && kj==1 - dPdx=Pdim(ki,kj)/(0.5*dx) - dPdz=(Pdim(ki,kj)-Pdim(ki-1,kj))/dz - end + if (ki==1 and kj>1): + dPdx=(Pdim[ki,kj]-Pdim[ki,kj-1])/dx + dPdz=Pdim[ki,kj]/(0.5*dz) + + + if (ki>1 and kj==1): + dPdx=Pdim[ki,kj]/(0.5*dx) + dPdz=(Pdim[ki,kj]-Pdim[ki-1,kj])/dz + + + if (ki>1 and kj>1): + dPdx=(Pdim[ki,kj]-Pdim[ki,kj-1])/dx + dPdz=(Pdim[ki,kj]-Pdim[ki-1,kj])/dz - if ki>1 && kj>1 - dPdx=(Pdim(ki,kj)-Pdim(ki,kj-1))/dx - dPdz=(Pdim(ki,kj)-Pdim(ki-1,kj))/dz - end h=Rs-R-(sin(jj)*(yr+alpha*(Rs+esp))+cos(jj)*(xr+Rs-R-Cr)) %espessura dimensional [m] From ce348e6b5f8f4acddfaba71b9ef0ac8b4bdbe775 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Wed, 4 Nov 2020 13:40:03 -0300 Subject: [PATCH 024/138] Continued conversions 020 --- ross/fluid_flow/tilting_pad.py | 34 ++++++++++++++++------------------ 1 file changed, 16 insertions(+), 18 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 62605006a..83269a5cb 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -532,33 +532,31 @@ dPdx=(Pdim[ki,kj]-Pdim[ki,kj-1])/dx dPdz=(Pdim[ki,kj]-Pdim[ki-1,kj])/dz + # Dimensional film thickness in Meters + h=Rs-R-(np.sin(jj)*(yr+alpha*(Rs+esp))+np.cos(jj)*(xr+Rs-R-Cr)) - h=Rs-R-(sin(jj)*(yr+alpha*(Rs+esp))+cos(jj)*(xr+Rs-R-Cr)) - %espessura dimensional [m] + auxFF0 = zeros[1,netha.size] + auxFF1 = zeros[1,netha.size] - auxFF0 = zeros(1,length(netha)) - auxFF1 = zeros(1,length(netha)) - - for contk=(N1+0.5*dN)*h:(dN*h):(N2-(0.5*dN))*h - auxFF0(nn+1)=1/mi(ki,kj,nN+1-nn) - auxFF1(nn+1)=contk/mi(ki,kj,nN+1-nn) + for contk in range(((N1+0.5*dN)*h), (dN*h), ((N2-(0.5*dN))*h)): + auxFF0[nn+1]=1/mi[ki,kj,nN+1-nn] + auxFF1[nn+1]=contk/mi[ki,kj,nN+1-nn] nn=nn+1 - end nn=1 - auxFF0(1)=auxFF0(2) - auxFF0(nN+2)=auxFF0(nN+1) + auxFF0[0]=auxFF0[1] + auxFF0[nN+2]=auxFF0[nN+1] - auxFF1(1)=0 - auxFF1(nN+2)=(N2*h)/mi(ki,kj,1) + auxFF1[0]=0 + auxFF1[nN+2]=(N2*h)/mi[ki,kj,1] ydim1=h*netha - FF0=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF0(2:end)+auxFF0(1:end-1))) - FF1=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF1(2:end)+auxFF1(1:end-1))) + FF0=0.5*np.sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF0(2:end)+auxFF0(1:end-1))) + FF1=0.5*np.sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF1(2:end)+auxFF1(1:end-1))) - auxG0 = zeros(1,length(N1:dN:ky)) - auxG1 = zeros(1,length(N1:dN:ky)) - ydim2 = zeros(1,length(N1:dN:ky)) + auxG0 = np.zeros[1,length(N1:dN:ky)] + auxG1 = np.zeros[1,length(N1:dN:ky)] + ydim2 = np.zeros[1,length(N1:dN:ky)] for contk=(N1+0.5*dN)*h:dN*h:ky*h auxG0(nn+1)=1/mi(ki,kj,nN+1-nn) From c23849fa2d9b4524ead80588419767972705138a Mon Sep 17 00:00:00 2001 From: verg1lio Date: Thu, 5 Nov 2020 15:03:43 -0300 Subject: [PATCH 025/138] Continued conversions 021 --- ross/fluid_flow/tilting_pad.py | 32 +++++++++++++++++--------------- 1 file changed, 17 insertions(+), 15 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 83269a5cb..ab3aed6c6 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -558,31 +558,33 @@ auxG1 = np.zeros[1,length(N1:dN:ky)] ydim2 = np.zeros[1,length(N1:dN:ky)] - for contk=(N1+0.5*dN)*h:dN*h:ky*h - auxG0(nn+1)=1/mi(ki,kj,nN+1-nn) - auxG1(nn+1)=contk/mi(ki,kj,nN+1-nn) - ydim2(nn+1)=contk + for contk in range (((N1+0.5*dN)*h), (dN*h), (ky*h)): + auxG0[nn+1]=1/mi[ki, kj, nN+1-nn] + auxG1[nn+1]=contk/mi[ki, kj, nN+1-nn] + ydim2[nn+1]=contk nn=nn+1 - end + nn=1 - auxG0(1)=auxG0(2) - auxG1(1)=0 - ydim2(1)=N1*h + auxG0[0]=auxG0[1] + auxG1[0]=0 + ydim2[0]=N1*h - G0=0.5*sum((ydim2(2:end)-ydim2(1:end-1)).*(auxG0(2:end)+auxG0(1:end-1))) - G1=0.5*sum((ydim2(2:end)-ydim2(1:end-1)).*(auxG1(2:end)+auxG1(1:end-1))) + G0=0.5*np.sum[(ydim2[1:]-ydim2[0:-1]).*(auxG0[1:]+auxG0[0:-1])] + G1=0.5*np.sum[(ydim2[1:]-ydim2[0:-1]).*(auxG1[1:]+auxG1[0:-1])] - vu(ki,kj,kk)=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0 - vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0 + vu[ki,kj,kk]=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0 + vw[ki,kj,kk]=dPdz*G1-(FF1/FF0*dPdz)*G0 kj=kj+1 - end + + kj=1 ki=ki+1 - end + + ki=1 kk=kk+1 - end + %AQUI COME�A O CALCULO DA VELOCIDADE RADIAL From 3ea4c2135225f042645eff4e2bc957d93afb4aec Mon Sep 17 00:00:00 2001 From: verg1lio Date: Tue, 10 Nov 2020 09:50:01 -0300 Subject: [PATCH 026/138] Continued conversions 022 --- ross/fluid_flow/tilting_pad.py | 78 ++++++++++++++++++++++++++++++++-- 1 file changed, 75 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index ab3aed6c6..eab3c84bb 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -551,8 +551,8 @@ auxFF1[nN+2]=(N2*h)/mi[ki,kj,1] ydim1=h*netha - FF0=0.5*np.sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF0(2:end)+auxFF0(1:end-1))) - FF1=0.5*np.sum((ydim1(2:end)-ydim1(1:end-1)).*(auxFF1(2:end)+auxFF1(1:end-1))) + FF0=0.5*np.sum((ydim[1:]-ydim1[0:-1]).*(auxFF0[1:]+auxFF0[0:-1])) + FF1=0.5*np.sum((ydim1[1:]-ydim1[0:-1]).*(auxFF1[1:]+auxFF1[0:-1])) auxG0 = np.zeros[1,length(N1:dN:ky)] auxG1 = np.zeros[1,length(N1:dN:ky)] @@ -577,7 +577,7 @@ kj=kj+1 - + kj=1 ki=ki+1 @@ -588,3 +588,75 @@ %AQUI COME�A O CALCULO DA VELOCIDADE RADIAL + nn=1; + ki=1; + kj=1; + kk=1; + + + for ii=Z1+0.5*dZ:dZ:Z2-0.5*dZ + + for jj=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta + hpt=-(cos(jj)*xrpt+sin(jj)*yrpt+sin(jj)*(Rs+esp)*alphapt); + + if ki==1 && kj==1 + for contk=N1+0.5*dN:dN:N2-0.5*dN + dudx(1,nn+1)=0; + dwdz(1,nn+1)=0; + nn=nn+1; + end + nn=1; + end + + + if ki==1 && kj>1 + for contk=N1+0.5*dN:dN:N2-0.5*dN + dudx(1,nn+1)=(vu(ki,kj,nn)-vu(ki,kj-1,nn))/dx; + dwdz(1,nn+1)=0; + nn=nn+1; + end + nn=1; + end + + if ki>1 && kj==1 + for contk=N1+0.5*dN:dN:N2-0.5*dN + dudx(1,nn+1)=0; + dwdz(1,nn+1)=(vw(ki,kj,nn)-vw(ki-1,kj,nn))/dz; + nn=nn+1; + end + nn=1; + end + + if ki>1 && ki1 && kj Date: Mon, 16 Nov 2020 12:41:39 -0300 Subject: [PATCH 027/138] Continued conversions 22 --- ross/fluid_flow/tilting_pad.py | 69 +++++++++++++++++----------------- 1 file changed, 35 insertions(+), 34 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index eab3c84bb..3496ee86b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -586,46 +586,47 @@ kk=kk+1 - - %AQUI COME�A O CALCULO DA VELOCIDADE RADIAL - nn=1; - ki=1; - kj=1; - kk=1; + # Radial speed calculation start ---------------------------------------------------- + nn=1 + ki=1 + kj=1 + kk=1 - for ii=Z1+0.5*dZ:dZ:Z2-0.5*dZ - - for jj=theta1+0.5*dtheta:dtheta:theta2-0.5*dtheta - hpt=-(cos(jj)*xrpt+sin(jj)*yrpt+sin(jj)*(Rs+esp)*alphapt); + # Mesh loop in Z direction ==================================================== + for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + # Mesh loop in THETA direction ==================================================== + for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): + + hpt=-(np.cos[jj]*xrpt+np.sin[jj]*yrpt+np.sin[jj]*(Rs+esp)*alphapt) - if ki==1 && kj==1 - for contk=N1+0.5*dN:dN:N2-0.5*dN - dudx(1,nn+1)=0; - dwdz(1,nn+1)=0; - nn=nn+1; - end - nn=1; - end + if (ki==1 and kj==1): + for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + dudx[0,nn+1]=0 + dwdz[0,nn+1]=0 + nn=nn+1 + + nn=1 - if ki==1 && kj>1 - for contk=N1+0.5*dN:dN:N2-0.5*dN - dudx(1,nn+1)=(vu(ki,kj,nn)-vu(ki,kj-1,nn))/dx; - dwdz(1,nn+1)=0; - nn=nn+1; - end - nn=1; - end - if ki>1 && kj==1 - for contk=N1+0.5*dN:dN:N2-0.5*dN - dudx(1,nn+1)=0; - dwdz(1,nn+1)=(vw(ki,kj,nn)-vw(ki-1,kj,nn))/dz; - nn=nn+1; - end - nn=1; - end + if (ki==1 and kj>1): + for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + dudx(1,nn+1)=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx + dwdz(1,nn+1)=0 + nn=nn+1 + + nn=1 + + + if (ki>1 and kj==1): + for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + dudx[0,nn+1]=0 + dwdz[0,nn+1]=(vw[ki,kj,nn]-vw[ki-1,kj,nn])/dz + nn=nn+1 + + nn=1 + if ki>1 && ki1 && kj Date: Mon, 16 Nov 2020 12:58:49 -0300 Subject: [PATCH 028/138] Continued conversions 024 --- ross/fluid_flow/tilting_pad.py | 71 +++++++++++++++++----------------- 1 file changed, 36 insertions(+), 35 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3496ee86b..4d3e22d98 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -601,7 +601,7 @@ hpt=-(np.cos[jj]*xrpt+np.sin[jj]*yrpt+np.sin[jj]*(Rs+esp)*alphapt) if (ki==1 and kj==1): - for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + for contk in range(N1+0.5*dN, dN, N2-0.5*dN): dudx[0,nn+1]=0 dwdz[0,nn+1]=0 nn=nn+1 @@ -611,7 +611,7 @@ if (ki==1 and kj>1): - for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + for contk in range(N1+0.5*dN, dN, N2-0.5*dN): dudx(1,nn+1)=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx dwdz(1,nn+1)=0 nn=nn+1 @@ -620,7 +620,7 @@ if (ki>1 and kj==1): - for contk in range (N1+0.5*dN, dN, N2-0.5*dN): + for contk in range(N1+0.5*dN, dN, N2-0.5*dN): dudx[0,nn+1]=0 dwdz[0,nn+1]=(vw[ki,kj,nn]-vw[ki-1,kj,nn])/dz nn=nn+1 @@ -628,36 +628,37 @@ nn=1 - if ki>1 && ki1 && kj1 and ki1 and kj Date: Mon, 16 Nov 2020 13:00:32 -0300 Subject: [PATCH 029/138] Continued conversions 025 --- ross/fluid_flow/tilting_pad.py | 159 ++++++++++++++++++++++++++++++++- 1 file changed, 158 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 4d3e22d98..05b629b28 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -661,4 +661,161 @@ ki=ki-1 # Radial velociti calculation ending ------------------------------ - %AQUI TERMINA O CALCULO DA VELOCIDADE RADIAL + ksi1=0; + ksi2=1; + ki=1; + kj=1; + dksi=dX; + for ii=1:nZ + for jj=1:nN + Mi(jj,ii)=mi(1,ii,jj); + end + end + nk=nN*ntheta; + Mat_coef=zeros(nk,nk); + b=zeros(nk,1); + k=0; + + for ii=N1+0.5*dN:dN:N2-0.5*dN + + for jj=ksi1+0.5*dksi:dksi:ksi2-0.5*dksi + + theta=(-0.5+jj)*betha_s; + HP=Rs-R-(sin(theta)*(yr+alpha*(Rs+esp))+cos(theta)*(xr+Rs-R-Cr)); + He=Rs-R-(sin(theta+0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(theta+0.5*dtheta)*(xr+Rs-R-Cr)); + Hw=Rs-R-(sin(theta-0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(theta-0.5*dtheta)*(xr+Rs-R-Cr)); + Hn=HP; + Hs=Hn; + Hnw=Hw; + Hsw=Hnw; + + yh(kj)=HP; + xh(kj)=theta; + + JP=1/(betha_s*Rs*HP); + Je=1/(betha_s*Rs*He); + Jw=1/(betha_s*Rs*Hw); + Jn=1/(betha_s*Rs*Hn); + Js=1/(betha_s*Rs*Hs); + + if ki==1 && kj==1 + + uP=Vu(ki,kj); + uE=Vu(ki,kj+1); + uW=Vu(ki,kj); + uN=Vu(ki,kj); + uS=Vu(ki+1,kj); + + vP=Vv(ki,kj); + vE=Vv(ki,kj+1); + vW=Vv(ki,kj); + vN=Vv(ki,kj); + vS=Vv(ki+1,kj); + + wP=Vw(ki,kj); + wE=Vw(ki,kj+1); + wW=Vw(ki,kj); + wN=Vw(ki,kj); + wS=Vw(ki+1,kj); + end + + if ki==1 && kj>1 && kj1 && ki1 && ki1 && kj1 && ki1 && kj Date: Mon, 16 Nov 2020 13:18:09 -0300 Subject: [PATCH 030/138] Continued conversions 026 --- ross/fluid_flow/tilting_pad.py | 313 +++++++++++++++++---------------- 1 file changed, 157 insertions(+), 156 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 05b629b28..52ea3d270 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -661,161 +661,162 @@ ki=ki-1 # Radial velociti calculation ending ------------------------------ - ksi1=0; - ksi2=1; - ki=1; - kj=1; - dksi=dX; - for ii=1:nZ - for jj=1:nN - Mi(jj,ii)=mi(1,ii,jj); - end - end - nk=nN*ntheta; - Mat_coef=zeros(nk,nk); - b=zeros(nk,1); - k=0; + ksi1=0 + ksi2=1 + ki=1 + kj=1 + dksi=dX + + for ii in range(1, nZ): + for jj in range(1, nN): + Mi[jj,ii]=mi[0,ii,jj] + - for ii=N1+0.5*dN:dN:N2-0.5*dN + nk=nN*ntheta + Mat_coef=np.zeros[nk,nk] + b=np.zeros[nk,1] + k=0 + + for ii in range(N1+0.5*dN, dN, N2-0.5*dN): - for jj=ksi1+0.5*dksi:dksi:ksi2-0.5*dksi - - theta=(-0.5+jj)*betha_s; - HP=Rs-R-(sin(theta)*(yr+alpha*(Rs+esp))+cos(theta)*(xr+Rs-R-Cr)); - He=Rs-R-(sin(theta+0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(theta+0.5*dtheta)*(xr+Rs-R-Cr)); - Hw=Rs-R-(sin(theta-0.5*dtheta)*(yr+alpha*(Rs+esp))+cos(theta-0.5*dtheta)*(xr+Rs-R-Cr)); - Hn=HP; - Hs=Hn; - Hnw=Hw; - Hsw=Hnw; - - yh(kj)=HP; - xh(kj)=theta; - - JP=1/(betha_s*Rs*HP); - Je=1/(betha_s*Rs*He); - Jw=1/(betha_s*Rs*Hw); - Jn=1/(betha_s*Rs*Hn); - Js=1/(betha_s*Rs*Hs); - - if ki==1 && kj==1 - - uP=Vu(ki,kj); - uE=Vu(ki,kj+1); - uW=Vu(ki,kj); - uN=Vu(ki,kj); - uS=Vu(ki+1,kj); - - vP=Vv(ki,kj); - vE=Vv(ki,kj+1); - vW=Vv(ki,kj); - vN=Vv(ki,kj); - vS=Vv(ki+1,kj); - - wP=Vw(ki,kj); - wE=Vw(ki,kj+1); - wW=Vw(ki,kj); - wN=Vw(ki,kj); - wS=Vw(ki+1,kj); - end - - if ki==1 && kj>1 && kj1 && ki1 && ki1 && kj1 && ki1 && kj1 and kj1 and ki1 and ki1 and kj1 and ki1 and kj Date: Mon, 16 Nov 2020 13:23:43 -0300 Subject: [PATCH 031/138] Continued conversions 027 --- ross/fluid_flow/tilting_pad.py | 107 +++++++++++++++++++++++++++++++++ 1 file changed, 107 insertions(+) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 52ea3d270..66a652868 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -820,3 +820,110 @@ nw=np nn=np+dN ns=np-dN + + dhdksi_p=-betha_s*(cos(theta)*(yr+alpha*(Rs+esp))-sin(theta)*(xr+Rs-R-Cr)); + dhdksi_e=-betha_s*(cos(theta+0.5*dtheta)*(yr+alpha*(Rs+esp))-sin(theta+0.5*dtheta)*(xr+Rs-R-Cr)); + dhdksi_w=-betha_s*(cos(theta-0.5*dtheta)*(yr+alpha*(Rs+esp))-sin(theta-0.5*dtheta)*(xr+Rs-R-Cr)); + dhdksi_n=dhdksi_p; + dhdksi_s=dhdksi_n; + + VP=betha_s*Rs*vP-np*dhdksi_p*uP; + Vn=betha_s*Rs*vn-nn*dhdksi_n*un; + Vs=betha_s*Rs*vs-ns*dhdksi_s*us; + + alpha11P=HP^2; + alpha11e=He^2; + alpha11w=Hw^2; + + alpha12P=-np*HP*dhdksi_p; + alpha12e=-ne*He*dhdksi_e; + alpha12w=-nw*Hw*dhdksi_w; + + alpha21P=alpha12P; + alpha21n=-nn*Hn*dhdksi_n; + alpha21s=-ns*Hs*dhdksi_s; + + alpha22P=(betha_s*Rs)^2+(np*dhdksi_p)^2; + alpha22n=(betha_s*Rs)^2+(nn*dhdksi_n)^2; + alpha22s=(betha_s*Rs)^2+(ns*dhdksi_s)^2; + + Me=rho*Ue*dN; + Mw=rho*Uw*dN; + Mn=rho*Vn*dksi; + Ms=rho*Vs*dksi; + + D11=kt/Cp*JP*alpha11P*dN; + D11e=kt/Cp*Je*alpha11e*dN; + D11w=kt/Cp*Jw*alpha11w*dN; + + D12=kt/Cp*JP*alpha12P*dN; + D12e=kt/Cp*Je*alpha12e*dN; + D12w=kt/Cp*Jw*alpha12w*dN; + + D21=kt/Cp*JP*alpha21P*dksi; + D21n=kt/Cp*Jn*alpha21n*dksi; + D21s=kt/Cp*Js*alpha21s*dksi; + + D22=kt/Cp*JP*alpha22P*dksi; + D22n=kt/Cp*Jn*alpha22n*dksi; + D22s=kt/Cp*Js*alpha22s*dksi; + + %Coeficientes de Interpola��o + + Pee=rho*uE*Cp*dtheta*Rs/kt; %N�mero de Peclet + Pew=rho*uW*Cp*dtheta*Rs/kt; + + Pen=rho*uN*Cp*dtheta*Rs/kt; + Pes=rho*uS*Cp*dtheta*Rs/kt; + + a_pe=Pee^2/(10+2*Pee^2); + b_pe=(1+0.005*Pee^2)/(1+0.05*Pee^2); + + a_pw=Pew^2/(10+2*Pew^2); + b_pw=(1+0.005*Pew^2)/(1+0.05*Pew^2); + + a_sw=Pes^2/(10+2*Pes^2); + b_sw=(1+0.005*Pes^2)/(1+0.05*Pes^2); + + a_nw=Pen^2/(10+2*Pen^2); + b_nw=(1+0.005*Pen^2)/(1+0.05*Pen^2); + + a_pn=0; %Diferen�as Centrais + b_pn=1; + + a_ps=0; + b_ps=1; + + Ae=(Me*(0.5-a_pe)-D11e/dksi*b_pe-(D21n-D21s)/(4*dksi)); + Aw=(-Mw*(0.5+a_pw)-D11w/dksi*b_pw+(D21n-D21s)/(4*dksi)); + An=(Mn*(0.5-a_pn)-D22n/dN*b_pn-(D12e-D12w)/(4*dN)); + As=(-Ms*(0.5+a_ps)-D22s/dN*b_ps-(D12w-D12e)/(4*dN)); + Ane=-D12e/(4*dN)-D21n/(4*dksi); + Ase=D12e/(4*dN)+D21s/(4*dksi); + Anw=D12w/(4*dN)+D21n/(4*dksi); + Asw=-D12w/(4*dN)-D21s/(4*dksi); + Ap=-(Ae+Aw+An+As+Ane+Ase+Anw+Asw); + + up_a=uP/(R*war); + uw_a=uW/(R*war); + ue_a=uE/(R*war); + us_a=uS/(R*war); + un_a=uN/(R*war); + + vp_a=vP/(R*war); + vw_a=vW/(R*war); + ve_a=vE/(R*war); + vs_a=vS/(R*war); + vn_a=vN/(R*war); + + wp_a=wP/(R*war); + ww_a=wW/(R*war); + we_a=wE/(R*war); + ws_a=wS/(R*war); + wn_a=wN/(R*war); + + + fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)^2+(betha_s*Rs*(vn_a-vp_a)/dN)^2+ ... + (betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)^2+... + (Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)^2+(betha_s*Rs*(wp_a-ws_a)/dksi)^2); + \ No newline at end of file From 059b8a1b2520d306ec1e0d51a09cf7f8b34d85b1 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 16 Nov 2020 13:35:53 -0300 Subject: [PATCH 032/138] Continued conversions 028 --- ross/fluid_flow/tilting_pad.py | 108 ++++++++++++++++----------------- 1 file changed, 54 insertions(+), 54 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 66a652868..e6db00053 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -821,78 +821,78 @@ nn=np+dN ns=np-dN - dhdksi_p=-betha_s*(cos(theta)*(yr+alpha*(Rs+esp))-sin(theta)*(xr+Rs-R-Cr)); - dhdksi_e=-betha_s*(cos(theta+0.5*dtheta)*(yr+alpha*(Rs+esp))-sin(theta+0.5*dtheta)*(xr+Rs-R-Cr)); - dhdksi_w=-betha_s*(cos(theta-0.5*dtheta)*(yr+alpha*(Rs+esp))-sin(theta-0.5*dtheta)*(xr+Rs-R-Cr)); - dhdksi_n=dhdksi_p; - dhdksi_s=dhdksi_n; + dhdksi_p=-betha_s*(np.cos[theta]*(yr+alpha*(Rs+esp))-np.sin[theta]*(xr+Rs-R-Cr)) + dhdksi_e=-betha_s*(np.cos[theta+0.5*dtheta]*(yr+alpha*(Rs+esp))-np.sin[theta+0.5*dtheta]*(xr+Rs-R-Cr)) + dhdksi_w=-betha_s*(np.cos[theta-0.5*dtheta]*(yr+alpha*(Rs+esp))-np.sin[theta-0.5*dtheta]*(xr+Rs-R-Cr)) + dhdksi_n=dhdksi_p + dhdksi_s=dhdksi_n - VP=betha_s*Rs*vP-np*dhdksi_p*uP; - Vn=betha_s*Rs*vn-nn*dhdksi_n*un; - Vs=betha_s*Rs*vs-ns*dhdksi_s*us; + VP=betha_s*Rs*vP-np*dhdksi_p*uP + Vn=betha_s*Rs*vn-nn*dhdksi_n*un + Vs=betha_s*Rs*vs-ns*dhdksi_s*us - alpha11P=HP^2; - alpha11e=He^2; - alpha11w=Hw^2; + alpha11P=HP**2 + alpha11e=He**2 + alpha11w=Hw**2 - alpha12P=-np*HP*dhdksi_p; - alpha12e=-ne*He*dhdksi_e; - alpha12w=-nw*Hw*dhdksi_w; + alpha12P=-np*HP*dhdksi_p + alpha12e=-ne*He*dhdksi_e + alpha12w=-nw*Hw*dhdksi_w - alpha21P=alpha12P; - alpha21n=-nn*Hn*dhdksi_n; - alpha21s=-ns*Hs*dhdksi_s; + alpha21P=alpha12P + alpha21n=-nn*Hn*dhdksi_n + alpha21s=-ns*Hs*dhdksi_s - alpha22P=(betha_s*Rs)^2+(np*dhdksi_p)^2; - alpha22n=(betha_s*Rs)^2+(nn*dhdksi_n)^2; - alpha22s=(betha_s*Rs)^2+(ns*dhdksi_s)^2; + alpha22P=(betha_s*Rs)**2+(np*dhdksi_p)**2; + alpha22n=(betha_s*Rs)**2+(nn*dhdksi_n)**2; + alpha22s=(betha_s*Rs)**2+(ns*dhdksi_s)**2; - Me=rho*Ue*dN; - Mw=rho*Uw*dN; - Mn=rho*Vn*dksi; - Ms=rho*Vs*dksi; + Me=rho*Ue*dN + Mw=rho*Uw*dN + Mn=rho*Vn*dksi + Ms=rho*Vs*dksi - D11=kt/Cp*JP*alpha11P*dN; - D11e=kt/Cp*Je*alpha11e*dN; - D11w=kt/Cp*Jw*alpha11w*dN; + D11=kt/Cp*JP*alpha11P*dN + D11e=kt/Cp*Je*alpha11e*dN + D11w=kt/Cp*Jw*alpha11w*dN - D12=kt/Cp*JP*alpha12P*dN; - D12e=kt/Cp*Je*alpha12e*dN; - D12w=kt/Cp*Jw*alpha12w*dN; + D12=kt/Cp*JP*alpha12P*dN + D12e=kt/Cp*Je*alpha12e*dN + D12w=kt/Cp*Jw*alpha12w*dN - D21=kt/Cp*JP*alpha21P*dksi; - D21n=kt/Cp*Jn*alpha21n*dksi; - D21s=kt/Cp*Js*alpha21s*dksi; + D21=kt/Cp*JP*alpha21P*dksi + D21n=kt/Cp*Jn*alpha21n*dksi + D21s=kt/Cp*Js*alpha21s*dksi - D22=kt/Cp*JP*alpha22P*dksi; - D22n=kt/Cp*Jn*alpha22n*dksi; - D22s=kt/Cp*Js*alpha22s*dksi; + D22=kt/Cp*JP*alpha22P*dksi + D22n=kt/Cp*Jn*alpha22n*dksi + D22s=kt/Cp*Js*alpha22s*dksi - %Coeficientes de Interpola��o + # Interpolation coefficients - Pee=rho*uE*Cp*dtheta*Rs/kt; %N�mero de Peclet - Pew=rho*uW*Cp*dtheta*Rs/kt; + Pee=rho*uE*Cp*dtheta*Rs/kt # Peclet's number + Pew=rho*uW*Cp*dtheta*Rs/kt - Pen=rho*uN*Cp*dtheta*Rs/kt; - Pes=rho*uS*Cp*dtheta*Rs/kt; + Pen=rho*uN*Cp*dtheta*Rs/kt + Pes=rho*uS*Cp*dtheta*Rs/kt - a_pe=Pee^2/(10+2*Pee^2); - b_pe=(1+0.005*Pee^2)/(1+0.05*Pee^2); - - a_pw=Pew^2/(10+2*Pew^2); - b_pw=(1+0.005*Pew^2)/(1+0.05*Pew^2); + a_pe=Pee**2/(10+2*Pee**2) + b_pe=(1+0.005*Pee**2)/(1+0.05*Pee**2) + + a_pw=Pew**2/(10+2*Pew**2) + b_pw=(1+0.005*Pew**2)/(1+0.05*Pew**2) - a_sw=Pes^2/(10+2*Pes^2); - b_sw=(1+0.005*Pes^2)/(1+0.05*Pes^2); + a_sw=Pes**2/(10+2*Pes**2) + b_sw=(1+0.005*Pes**2)/(1+0.05*Pes**2) - a_nw=Pen^2/(10+2*Pen^2); - b_nw=(1+0.005*Pen^2)/(1+0.05*Pen^2); + a_nw=Pen**2/(10+2*Pen**2) + b_nw=(1+0.005*Pen**2)/(1+0.05*Pen**2) - a_pn=0; %Diferen�as Centrais - b_pn=1; + a_pn=0 # Central differences + b_pn=1 - a_ps=0; - b_ps=1; + a_ps=0 + b_ps=1 Ae=(Me*(0.5-a_pe)-D11e/dksi*b_pe-(D21n-D21s)/(4*dksi)); Aw=(-Mw*(0.5+a_pw)-D11w/dksi*b_pw+(D21n-D21s)/(4*dksi)); From 6070f704df2fdf58523a6276cb854daa7c4d42c8 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 16 Nov 2020 13:46:07 -0300 Subject: [PATCH 033/138] Continued conversions 029 --- ross/fluid_flow/tilting_pad.py | 62 ++++++++++++++++------------------ 1 file changed, 30 insertions(+), 32 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e6db00053..9137e5387 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -894,36 +894,34 @@ a_ps=0 b_ps=1 - Ae=(Me*(0.5-a_pe)-D11e/dksi*b_pe-(D21n-D21s)/(4*dksi)); - Aw=(-Mw*(0.5+a_pw)-D11w/dksi*b_pw+(D21n-D21s)/(4*dksi)); - An=(Mn*(0.5-a_pn)-D22n/dN*b_pn-(D12e-D12w)/(4*dN)); - As=(-Ms*(0.5+a_ps)-D22s/dN*b_ps-(D12w-D12e)/(4*dN)); - Ane=-D12e/(4*dN)-D21n/(4*dksi); - Ase=D12e/(4*dN)+D21s/(4*dksi); - Anw=D12w/(4*dN)+D21n/(4*dksi); - Asw=-D12w/(4*dN)-D21s/(4*dksi); - Ap=-(Ae+Aw+An+As+Ane+Ase+Anw+Asw); - - up_a=uP/(R*war); - uw_a=uW/(R*war); - ue_a=uE/(R*war); - us_a=uS/(R*war); - un_a=uN/(R*war); - - vp_a=vP/(R*war); - vw_a=vW/(R*war); - ve_a=vE/(R*war); - vs_a=vS/(R*war); - vn_a=vN/(R*war); - - wp_a=wP/(R*war); - ww_a=wW/(R*war); - we_a=wE/(R*war); - ws_a=wS/(R*war); - wn_a=wN/(R*war); - - - fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)^2+(betha_s*Rs*(vn_a-vp_a)/dN)^2+ ... - (betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)^2+... - (Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)^2+(betha_s*Rs*(wp_a-ws_a)/dksi)^2); + Ae=(Me*(0.5-a_pe)-D11e/dksi*b_pe-(D21n-D21s)/(4*dksi)) + Aw=(-Mw*(0.5+a_pw)-D11w/dksi*b_pw+(D21n-D21s)/(4*dksi)) + An=(Mn*(0.5-a_pn)-D22n/dN*b_pn-(D12e-D12w)/(4*dN)) + As=(-Ms*(0.5+a_ps)-D22s/dN*b_ps-(D12w-D12e)/(4*dN)) + Ane=-D12e/(4*dN)-D21n/(4*dksi) + Ase=D12e/(4*dN)+D21s/(4*dksi) + Anw=D12w/(4*dN)+D21n/(4*dksi) + Asw=-D12w/(4*dN)-D21s/(4*dksi) + Ap=-(Ae+Aw+An+As+Ane+Ase+Anw+Asw) + + up_a=uP/(R*war) + uw_a=uW/(R*war) + ue_a=uE/(R*war) + us_a=uS/(R*war) + un_a=uN/(R*war) + + vp_a=vP/(R*war) + vw_a=vW/(R*war) + ve_a=vE/(R*war) + vs_a=vS/(R*war) + vn_a=vN/(R*war) + + wp_a=wP/(R*war) + ww_a=wW/(R*war) + we_a=wE/(R*war) + ws_a=wS/(R*war) + wn_a=wN/(R*war) + + + fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)**2+(betha_s*Rs*(vn_a-vp_a)/dN)**2+(betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)**2+(Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)**2+(betha_s*Rs*(wp_a-ws_a)/dksi)**2) \ No newline at end of file From 0ea89cf318f565df6e06cd08a79eabe06a876b7a Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 16 Nov 2020 13:46:33 -0300 Subject: [PATCH 034/138] Continued conversions 030 --- ross/fluid_flow/tilting_pad.py | 112 ++++++++++++++++++++++++++++++++- 1 file changed, 111 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 9137e5387..69b606eff 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -924,4 +924,114 @@ fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)**2+(betha_s*Rs*(vn_a-vp_a)/dN)**2+(betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)**2+(Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)**2+(betha_s*Rs*(wp_a-ws_a)/dksi)**2) - \ No newline at end of file + + + % TERMO FONTE + Bp=JP*(war*R)^2*Mi(ki,kj)/Cp*dN*dksi*fdiss; + + %vetoriza��o + k=k+1; + + b(k,1)=Bp; + + if ki==1 && kj==1 + Mat_coef(k,k)=Ap+An-Aw; + Mat_coef(k,k+1)=Ae+Ane; + Mat_coef(k,k+ntheta)=As-Asw; + Mat_coef(k,k+ntheta+1)=Ase; + b(k,1)=b(k,1)-2*(Aw*Tmist(ki+1)+Asw*Tmist(ki+2))-Anw*(Tmist(ki)); + end + + if ki==1 && kj>1 && kj1 && ki1 && ki1 && kj1 && ki1 && kj Date: Mon, 16 Nov 2020 13:58:30 -0300 Subject: [PATCH 035/138] Continued conversions 031 --- ross/fluid_flow/tilting_pad.py | 202 ++++++++++++++++----------------- 1 file changed, 100 insertions(+), 102 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 69b606eff..db749931c 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -926,112 +926,110 @@ fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)**2+(betha_s*Rs*(vn_a-vp_a)/dN)**2+(betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)**2+(Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)**2+(betha_s*Rs*(wp_a-ws_a)/dksi)**2) - % TERMO FONTE - Bp=JP*(war*R)^2*Mi(ki,kj)/Cp*dN*dksi*fdiss; - - %vetoriza��o - k=k+1; - - b(k,1)=Bp; - - if ki==1 && kj==1 - Mat_coef(k,k)=Ap+An-Aw; - Mat_coef(k,k+1)=Ae+Ane; - Mat_coef(k,k+ntheta)=As-Asw; - Mat_coef(k,k+ntheta+1)=Ase; - b(k,1)=b(k,1)-2*(Aw*Tmist(ki+1)+Asw*Tmist(ki+2))-Anw*(Tmist(ki)); - end - - if ki==1 && kj>1 && kj1 and kj1 && ki1 && ki1 && kj1 && ki1 && kj1 and ki1 and ki1 and kj1 and ki1 and kj Date: Mon, 16 Nov 2020 14:39:27 -0300 Subject: [PATCH 036/138] Continued conversions 032 --- ross/fluid_flow/tilting_pad.py | 92 +++++++++++++++++++++++++++++++++- 1 file changed, 90 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index db749931c..4507e5a75 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1031,5 +1031,93 @@ # Viscosity equation ======================================================================== - %%%%%%%%%%%%%%%%%%%%%%%%%%%% Equa��o da viscosidade %%%%%%%%%%%%%%%%%%%%%% - \ No newline at end of file + # VG68 - Polynomial adjustment using predetermined values + # + # Via Oil_Regression_Analyses.m and propvalue.m the equation coefficients + # are obtained for the regression on the viscosity determination as a + # function of the temperature. + + # 3D temperature field ----------------------------------------------------- + TT=np.zeros(nZ,nX,nN) + for k in range(0, nN): + for j in range(0, X): + TT[,j,k]=T[k,j] + + # Regression equation coefficients + a=5.506e-09 + b=5012 + c=0.1248 + minovo=a*np.exp(b/(TT+273.15+c)) + k=0 + + # Full temperature matrix, including borders + for i in range(1, nN): + for j in range(1, ntheta): + T_novo[i,j]=T[i-1,j-1] + + + T_novo[0,]=T_novo[1,] + T_novo[nN+1,]=T_novo[nN,] + T_novo[1:nN,0]=Tmist[1,nN] + T_novo[,nX+1]=T_novo[,nX] + + + # WHILE ENDS HERE ========================================================== + + + T1(:,:,n_p)=T_novo(:,:); + P1(:,:,n_p)=PPdim; + + % if norm(P1)==0 + % score=1e36; + % end + + yh=Rs-R-(sin(Xtheta)*(yr+alpha*(Rs+esp))+cos(Xtheta)*(xr+Rs-R-Cr)); + for jj = 1:nX+2 + YH(:,jj,n_p) = fliplr(linspace(0,yh(jj),nN+2)); + end + + %Integration of pressure field - HydroForces + auxF=[cos(Xtheta(2:(end-1))); sin(Xtheta(2:(end-1)))]; + dA=dx*dz; + + auxP=P1(2:end-1,2:end-1,n_p)*dA; + + vector_auxF_x=auxF(1,:); + vector_auxF_y=auxF(2,:); + + auxFx=auxP*vector_auxF_x'; + auxFy=auxP*vector_auxF_y'; + + fxj(n_p)=-sum(auxFx); + fyj=-sum(auxFy); + + + My(n_p)=fyj*(Rs+esp); + + if fxj(n_p)>=-1 + My(n_p)=10e6; + end + + % + % if norm(PPdim(:,round(2*end/3):end)) < 1 + % score=1e10; + % end +end + +score(1)=My(1) +score(2)=My(2) +score(3)=My(3) +score(4)=My(4) +score(5)=My(5) +score(6)=My(6) + +%hydroforces +Fhx=fxj(1)*cos(psi_pad(1)+sigma(1))+fxj(2)*cos(psi_pad(2)+sigma(2))+fxj(3)*cos(psi_pad(3)+sigma(3))+fxj(4)*cos(psi_pad(4)+sigma(4))+fxj(5)*cos(psi_pad(5)+sigma(5))+fxj(6)*cos(psi_pad(6)+sigma(6)); +Fhy=fxj(1)*sin(psi_pad(1)+sigma(1))+fxj(2)*sin(psi_pad(2)+sigma(2))+fxj(3)*sin(psi_pad(3)+sigma(3))+fxj(4)*sin(psi_pad(4)+sigma(4))+fxj(5)*sin(psi_pad(5)+sigma(5))+fxj(6)*sin(psi_pad(6)+sigma(6)); + +%Maximum pressure, maximum temperature and minimum thickness +Pmax=max(max(max(P1))); +Tmax=max(max(max(T1))); +hmin=min(min(hhh)); +return \ No newline at end of file From 3011abb9b11f73a4af9f155ba98d829fddbda0c1 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 16 Nov 2020 14:48:46 -0300 Subject: [PATCH 037/138] Continued conversions 033 - ROUGH TRANSLATION ENDS HERE! --- ross/fluid_flow/tilting_pad.py | 83 +++++++++++++++------------------- 1 file changed, 37 insertions(+), 46 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 4507e5a75..f24624d4b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1064,60 +1064,51 @@ # WHILE ENDS HERE ========================================================== - - T1(:,:,n_p)=T_novo(:,:); - P1(:,:,n_p)=PPdim; + T1[,,n_p]=T_novo[,] + P1[,,n_p]=PPdim - % if norm(P1)==0 - % score=1e36; - % end + yh=Rs-R-(np.sin[Xtheta]*(yr+alpha*(Rs+esp))+np.cos[Xtheta]*(xr+Rs-R-Cr)) + for jj in range(0, nX+1): + YH[,jj,n_p] = fliplr(linspace(0,yh(jj),nN+2)) - yh=Rs-R-(sin(Xtheta)*(yr+alpha*(Rs+esp))+cos(Xtheta)*(xr+Rs-R-Cr)); - for jj = 1:nX+2 - YH(:,jj,n_p) = fliplr(linspace(0,yh(jj),nN+2)); - end - %Integration of pressure field - HydroForces - auxF=[cos(Xtheta(2:(end-1))); sin(Xtheta(2:(end-1)))]; - dA=dx*dz; + # Integration of pressure field - HydroForces + auxF=np.array([np.cos[Xtheta[0:-1]]; + np.sin[Xtheta[0:-1]]]) + dA=dx*dz - auxP=P1(2:end-1,2:end-1,n_p)*dA; + auxP=P1[1:-1, 1:-1, n_p]*dA - vector_auxF_x=auxF(1,:); - vector_auxF_y=auxF(2,:); + vector_auxF_x=auxF[0,] + vector_auxF_y=auxF[1,] - auxFx=auxP*vector_auxF_x'; - auxFy=auxP*vector_auxF_y'; + auxFx=auxP*vector_auxF_x' + auxFy=auxP*vector_auxF_y' - fxj(n_p)=-sum(auxFx); - fyj=-sum(auxFy); + fxj[n_p]=-np.sum(auxFx) + fyj=-np.sum(auxFy) + My[n_p]=fyj*(Rs+esp) - My(n_p)=fyj*(Rs+esp); + if (fxj(n_p)>=-1): + My[n_p]=10e6 - if fxj(n_p)>=-1 - My(n_p)=10e6; - end - % - % if norm(PPdim(:,round(2*end/3):end)) < 1 - % score=1e10; - % end -end - -score(1)=My(1) -score(2)=My(2) -score(3)=My(3) -score(4)=My(4) -score(5)=My(5) -score(6)=My(6) - -%hydroforces -Fhx=fxj(1)*cos(psi_pad(1)+sigma(1))+fxj(2)*cos(psi_pad(2)+sigma(2))+fxj(3)*cos(psi_pad(3)+sigma(3))+fxj(4)*cos(psi_pad(4)+sigma(4))+fxj(5)*cos(psi_pad(5)+sigma(5))+fxj(6)*cos(psi_pad(6)+sigma(6)); -Fhy=fxj(1)*sin(psi_pad(1)+sigma(1))+fxj(2)*sin(psi_pad(2)+sigma(2))+fxj(3)*sin(psi_pad(3)+sigma(3))+fxj(4)*sin(psi_pad(4)+sigma(4))+fxj(5)*sin(psi_pad(5)+sigma(5))+fxj(6)*sin(psi_pad(6)+sigma(6)); - -%Maximum pressure, maximum temperature and minimum thickness -Pmax=max(max(max(P1))); -Tmax=max(max(max(T1))); -hmin=min(min(hhh)); -return \ No newline at end of file +# END PADS FOR LOOP =============================================================== + +score[0]=My[0] +score[1]=My[1] +score[2]=My[2] +score[3]=My[3] +score[4]=My[4] +score[5]=My[5] + +# hydrodynamic forces +Fhx=fxj[0]*np.cos[psi_pad[0]+sigma[0]]+fxj[1]*np.cos[psi_pad[1]+sigma[1]]+fxj[2]*np.cos[psi_pad[2]+sigma[2]]+fxj[3]*np.cos[psi_pad[3]+sigma[3]]+fxj[4]*np.cos[psi_pad[4]+sigma[4]]+fxj[5]*np.cos[psi_pad[5]+sigma[5]] +Fhy=fxj[0]*np.sin[psi_pad[0]+sigma[0]]+fxj[1]*np.sin[psi_pad[1]+sigma[1]]+fxj[2]*np.sin[psi_pad[2]+sigma[2]]+fxj[3]*np.sin[psi_pad[3]+sigma[3]]+fxj[4]*np.sin[psi_pad[4]+sigma[4]]+fxj[5]*np.sin[psi_pad[5]+sigma[5]] + +# Maximum pressure, maximum temperature and minimum thickness +Pmax=np.max[np.max[np.max[P1]]] +Tmax=np.max[np.max[np.max[T1]]] +hmin=np.min[np.min[hhh]] + From de1b1914977a3c5a395980979ced45d35e5d585a Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 23 Nov 2020 11:00:37 -0300 Subject: [PATCH 038/138] Debug 001 --- ross/fluid_flow/tilting_pad.py | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f24624d4b..f92e301c0 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -71,7 +71,7 @@ # optim values from legacy codes # x=[0.000321298907440948 0.000218101024776208 0.000241891712348458 0.000385504446042090 0.000516992650533115 0.000460227890390222]; -psi_pad = np.array([x[1], x[2], x[3], x[4], x[5], x[6]]) +psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) npad = 6 # Radial clearance @@ -160,10 +160,10 @@ Z2=1 # final coordinate z dimensionless dZ=1/(nZ) # differential z dimensionless dz=dZ*L # differential z dimensional: [m] -XZ[1]=Z1 -XZ[nZ+2]=Z2 +XZ[0]=Z1 +XZ[nZ+1]=Z2 -XZ[1:nZ] = Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless +XZ[0:nZ-1] = Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless XZdim=XZ*L # vector z dimensional [m] @@ -171,17 +171,17 @@ N2=1 # final coordinate netha dimensionless dN=1/(nN) # differential netha dimensionless netha[1]=N1 -netha[nN+2]=N2 +netha[nN+1]=N2 -netha[1:nN]=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless +netha[0:nN-1]=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] dtheta=betha_s/(ntheta) # differential theta [rad] Xtheta[0]=theta1 -Xtheta[ntheta+1]=theta2 +Xtheta[ntheta]=theta2 -Xtheta[1:ntheta]=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] +Xtheta[0:ntheta-1]=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] dX=1/nX # differential x dimensionless dx=dX*(betha_s*Rs) # differential x dimensional: [m] @@ -218,12 +218,12 @@ XH = np.zeros[nN+2,nX+2] -for ii in range(1,nX+2+1): +for ii in range(0,nX+2): XH[:,ii] = Xtheta[ii] # Loop on the pads ========================================================================== -for n_p in range(1,npad+1): - alpha=psi_pad[n_p] +for n_p in range(0,npad): + alpha=psi_pad[n_p-1] # transformation of coordinates xryr=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))]; @@ -250,11 +250,11 @@ Tcomp=T_novo nk=nZ*ntheta - K_null=np.zeros[0,nk] + K_null=np.zeros[1,nk] Kij_null=np.zeros[nZ,ntheta] ki=1 kj=1 - k=0; # indice utilizado na vetoriza��o da press�o + k=0; # pressure vectorization index nn=1 Mat_coef=np.zeros[nk,nk] From 9a44d47ee7912611a9e4722defff4512c2509044 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 23 Nov 2020 11:09:13 -0300 Subject: [PATCH 039/138] Debug 002 --- ross/fluid_flow/tilting_pad.py | 30 +++++++++++++++--------------- 1 file changed, 15 insertions(+), 15 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f92e301c0..95489c3ca 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -284,16 +284,16 @@ # Loop in N for kk in range(N1+0.5*dN, dN, N2-0.5*dN): - mi_adP=vector_mi(1,nN+1-nn)/mi_ref - mi_adE=vector_mi(2,nN+1-nn)/mi_ref - mi_adW=vector_mi(3,nN+1-nn)/mi_ref + mi_adP=vector_mi(0,nN-nn)/mi_ref + mi_adE=vector_mi(1,nN-nn)/mi_ref + mi_adW=vector_mi(2,nN-nn)/mi_ref - auxFF0P[nn+1]=(1/mi_adP) - auxFF1P[nn+1]=(kk/mi_adP) - auxFF0E[nn+1]=(1/mi_adE) - auxFF1E[nn+1]=(kk/mi_adE) - auxFF0W[nn+1]=(1/mi_adW) - auxFF1W[nn+1]=(kk/mi_adW) + auxFF0P[nn]=(1/mi_adP) + auxFF1P[nn]=(kk/mi_adP) + auxFF0E[nn]=(1/mi_adE) + auxFF1E[nn]=(kk/mi_adE) + auxFF0W[nn]=(1/mi_adW) + auxFF1W[nn]=(kk/mi_adW) nn=nn+1 @@ -301,22 +301,22 @@ nn=1 auxFF0P[0]=auxFF0P[1] - auxFF0P[nN+1]=auxFF0P[nN] + auxFF0P[nN]=auxFF0P[nN] auxFF1P[0]=0 - auxFF1P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref)) + auxFF1P[nN]=(N2/(vector_mi[0,nN]/mi_ref)) auxFF0E[0]=auxFF0E[1] - auxFF0E[nN+1]=auxFF0E[nN] + auxFF0E[nN]=auxFF0E[nN] auxFF1E[0]=0 - auxFF1E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref)) + auxFF1E[nN]=(N2/(vector_mi[1,nN]/mi_ref)) auxFF0W[0]=auxFF0W[1] - auxFF0W[nN+1]=auxFF0W[nN] + auxFF0W[nN]=auxFF0W[nN] auxFF1W[0]=0 - auxFF1W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref)) + auxFF1W[nN]=(N2/(vector_mi[2,nN]/mi_ref)) FF0P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0P[1:]+auxFF0P[0:-2])) FF1P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1P[1:]+auxFF1P[0:-2])) From 904fdf5363675dc3cedf3701b460316c523764ce Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 23 Nov 2020 12:03:28 -0300 Subject: [PATCH 040/138] Debug 003 Co-authored by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 95489c3ca..9a4b52bb2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -195,8 +195,8 @@ drop_pressure_pos_L=np.array([center_pos_L-len_L/2, center_pos_L+len_L/2]) drop_pressure_pos_betha=np.array([start_pos_betha, start_pos_betha+len_betha]) -#drop_pressure_Ele_nZ=find(XZdim>drop_pressure_pos_L(1) & XZdim=drop_pressure_pos_betha(1)+theta1 & Xtheta<=drop_pressure_pos_betha(2)+theta1) +drop_pressure_Ele_nZ=np.intersect1d(np.where(XZdim>drop_pressure_pos_L[0]), np.where(XZdim=drop_pressure_pos_betha[0]+theta1), np.where(Xtheta<=drop_pressure_pos_betha[1]+theta1)) # Initial Parameters --------------------------------------------------------------- @@ -442,7 +442,7 @@ Mat_coef[k,k-ntheta]=CN - if (isempty(find(drop_pressure_Ele_nZ==ki+1))==0 & isempty(find(drop_pressure_Ele_ntetha==kj+1))==0): + if (len(np.where(drop_pressure_Ele_nZ==ki+1)[0])==0 and len(np.where(drop_pressure_Ele_ntetha==kj+1)[0])==0): K_null[k]=k Kij_null[ki,kj]=1 @@ -459,21 +459,21 @@ # Pressure field solution ============================================================== cc=find(K_null==0) - p=Mat_coef(cc,cc)\b(cc,cc) # verificar matriz b + p=np.linalg.solve(Mat_coef[cc,cc], b[cc,cc]) # verificar matriz b cont=0 # Matrix form of the pressure field ==================================================== for i in range(1, nZ): # Loop in Z for j in range(1, ntheta): # Loop in THETA - if isempty(find(drop_pressure_Ele_nZ==i+1))==0 & isempty(find(drop_pressure_Ele_ntetha==j+1))==0 + if (len(np.where(drop_pressure_Ele_nZ==i+1)[0])==0 and len(np.where(drop_pressure_Ele_ntetha==j+1)[0])==0): P[i,j]=0 - else + else: cont=cont+1 P(i,j)=p(cont) - if P(i,j) < 0 + if (P(i,j) < 0): P(i,j)=0 @@ -1019,7 +1019,7 @@ ki=1 nn=1 - t=Mat_coef\b # calculo da temperatura vetorizada + t=np.linalg.solve(Mat_coef, b) # calculo da temperatura vetorizada # Temperature matrix ---------------------- cont=1 From af8139288dd5c5a952fcb35bb19b94fefe8e1f29 Mon Sep 17 00:00:00 2001 From: verg1lio Date: Mon, 23 Nov 2020 12:20:21 -0300 Subject: [PATCH 041/138] Debug 004 Co-authored by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 86 +++++++++++++++++----------------- 1 file changed, 42 insertions(+), 44 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 9a4b52bb2..2e0260482 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -226,11 +226,11 @@ alpha=psi_pad[n_p-1] # transformation of coordinates - xryr=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))]; - [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xx]; [yy]]) + xryr=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))], + [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xx], [yy]]) - xryrpt=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))]; - [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xpt]; [ypt]]) + xryrpt=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))], + [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xpt], [ypt]]) xr=xryr[0] yr=xryr[1] @@ -318,12 +318,12 @@ auxFF1W[0]=0 auxFF1W[nN]=(N2/(vector_mi[2,nN]/mi_ref)) - FF0P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0P[1:]+auxFF0P[0:-2])) - FF1P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1P[1:]+auxFF1P[0:-2])) - FF0E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0E[1:]+auxFF0E[0:-2])) - FF1E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1E[1:]+auxFF1E[0:-2])) - FF0W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF0W[1:]+auxFF0W[0:-2])) - FF1W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF1W[1:]+auxFF1W[0:-2])) + FF0P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0P[1:]+auxFF0P[0:-2])) + FF1P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1P[1:]+auxFF1P[0:-2])) + FF0E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0E[1:]+auxFF0E[0:-2])) + FF1E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1E[1:]+auxFF1E[0:-2])) + FF0W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0W[1:]+auxFF0W[0:-2])) + FF1W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1W[1:]+auxFF1W[0:-2])) FF0e=0.5*(FF0P+FF0E) FF0w=0.5*(FF0P+FF0W) @@ -354,9 +354,9 @@ auxFF2W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref))*(N2-FF1P/FF0P) # integration process =================================================== - FF2P=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2P[1:]+auxFF2P[0:-2])) - FF2E=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2E[1:]+auxFF2E[0:-2])) - FF2W=0.5*np.sum((netha[1:]-netha[0:-2]).*(auxFF2W[1:]+auxFF2W[0:-2])) + FF2P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2P[1:]+auxFF2P[0:-2])) + FF2E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2E[1:]+auxFF2E[0:-2])) + FF2W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2W[1:]+auxFF2W[0:-2])) FF2e=0.5*(FF2P+FF2E) FF2w=0.5*(FF2P+FF2W) @@ -471,10 +471,10 @@ else: cont=cont+1 - P(i,j)=p(cont) + P[i,j]=p(cont) - if (P(i,j) < 0): - P(i,j)=0 + if (P[i,j] < 0): + P[i,j]=0 # Pressure border conditions ==================================================== @@ -495,8 +495,6 @@ PPdim[i,j]=Pdim[i-1,j-1] - - # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% # Velocity field calculation @@ -551,12 +549,12 @@ auxFF1[nN+2]=(N2*h)/mi[ki,kj,1] ydim1=h*netha - FF0=0.5*np.sum((ydim[1:]-ydim1[0:-1]).*(auxFF0[1:]+auxFF0[0:-1])) - FF1=0.5*np.sum((ydim1[1:]-ydim1[0:-1]).*(auxFF1[1:]+auxFF1[0:-1])) + FF0=0.5*np.sum((ydim[1:]-ydim1[0:-1])*(auxFF0[1:]+auxFF0[0:-1])) + FF1=0.5*np.sum((ydim1[1:]-ydim1[0:-1])*(auxFF1[1:]+auxFF1[0:-1])) - auxG0 = np.zeros[1,length(N1:dN:ky)] - auxG1 = np.zeros[1,length(N1:dN:ky)] - ydim2 = np.zeros[1,length(N1:dN:ky)] + auxG0 = np.zeros[1,length(N1, dN, ky)] + auxG1 = np.zeros[1,length(N1, dN, ky)] + ydim2 = np.zeros[1,length(N1, dN, ky)] for contk in range (((N1+0.5*dN)*h), (dN*h), (ky*h)): auxG0[nn+1]=1/mi[ki, kj, nN+1-nn] @@ -569,8 +567,8 @@ auxG1[0]=0 ydim2[0]=N1*h - G0=0.5*np.sum[(ydim2[1:]-ydim2[0:-1]).*(auxG0[1:]+auxG0[0:-1])] - G1=0.5*np.sum[(ydim2[1:]-ydim2[0:-1]).*(auxG1[1:]+auxG1[0:-1])] + G0=0.5*np.sum[(ydim2[1:]-ydim2[0:-1])*(auxG0[1:]+auxG0[0:-1])] + G1=0.5*np.sum[(ydim2[1:]-ydim2[0:-1])*(auxG1[1:]+auxG1[0:-1])] vu[ki,kj,kk]=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0 vw[ki,kj,kk]=dPdz*G1-(FF1/FF0*dPdz)*G0 @@ -602,8 +600,8 @@ if (ki==1 and kj==1): for contk in range(N1+0.5*dN, dN, N2-0.5*dN): - dudx[0,nn+1]=0 - dwdz[0,nn+1]=0 + dudx[0,nn]=0 + dwdz[0,nn]=0 nn=nn+1 nn=1 @@ -612,8 +610,8 @@ if (ki==1 and kj>1): for contk in range(N1+0.5*dN, dN, N2-0.5*dN): - dudx(1,nn+1)=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx - dwdz(1,nn+1)=0 + dudx[0,nn+1]=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx + dwdz[0,nn+1]=0 nn=nn+1 nn=1 @@ -643,7 +641,7 @@ dwdz[0,nN+2]=dwdz[0,nN+1] auxD=dudx+dwdz - intv=0.5*np.sum((ydim1[1:]-ydim1[0:-1]).*(auxD[1:]+auxD[0:-1])) + intv=0.5*np.sum((ydim1[1:]-ydim1[0:-1])*(auxD[1:]+auxD[0:-1])) vv[ki,kj,]=-intv+hpt kj=kj+1 @@ -654,9 +652,9 @@ ki=nN for ii in range(1, nN): for jj in range(1, ntheta): - Vu[ii,jj]= mean(vu[,jj,ki]) - Vv[ii,jj]= mean(vv[,jj,ki]) - Vw[ii,jj]= mean(vw[,jj,ki]) + Vu[ii,jj]= mean(vu[:,jj,ki]) + Vv[ii,jj]= mean(vv[:,jj,ki]) + Vw[ii,jj]= mean(vw[:,jj,ki]) ki=ki-1 @@ -679,7 +677,7 @@ for ii in range(N1+0.5*dN, dN, N2-0.5*dN): - for jjin range(ksi1+0.5*dksi, dksi, ksi2-0.5*dksi): + for jj in range(ksi1+0.5*dksi, dksi, ksi2-0.5*dksi): theta=(-0.5+jj)*betha_s HP=Rs-R-(np.sin[theta]*(yr+alpha*(Rs+esp))+np.cos[theta]*(xr+Rs-R-Cr)) @@ -1024,8 +1022,8 @@ # Temperature matrix ---------------------- cont=1 - for i in range(0, nN) - for jin range (0, nX) + for i in range(0, nN): + for j in range (0, nX): T[i,j]=t[cont] cont=cont+1 @@ -1041,7 +1039,7 @@ TT=np.zeros(nZ,nX,nN) for k in range(0, nN): for j in range(0, X): - TT[,j,k]=T[k,j] + TT[:,j,k]=T[k,j] # Regression equation coefficients a=5.506e-09 @@ -1059,21 +1057,21 @@ T_novo[0,]=T_novo[1,] T_novo[nN+1,]=T_novo[nN,] T_novo[1:nN,0]=Tmist[1,nN] - T_novo[,nX+1]=T_novo[,nX] + T_novo[:,nX+1]=T_novo[:,nX] # WHILE ENDS HERE ========================================================== - T1[,,n_p]=T_novo[,] - P1[,,n_p]=PPdim + T1[:,:,n_p]=T_novo + P1[:,:,n_p]=PPdim yh=Rs-R-(np.sin[Xtheta]*(yr+alpha*(Rs+esp))+np.cos[Xtheta]*(xr+Rs-R-Cr)) for jj in range(0, nX+1): - YH[,jj,n_p] = fliplr(linspace(0,yh(jj),nN+2)) + YH[:,jj,n_p] = fliplr(linspace(0,yh(jj),nN+2)) # Integration of pressure field - HydroForces - auxF=np.array([np.cos[Xtheta[0:-1]]; + auxF=np.array([np.cos[Xtheta[0:-1]], np.sin[Xtheta[0:-1]]]) dA=dx*dz @@ -1082,8 +1080,8 @@ vector_auxF_x=auxF[0,] vector_auxF_y=auxF[1,] - auxFx=auxP*vector_auxF_x' - auxFy=auxP*vector_auxF_y' + auxFx=auxP*vector_auxF_x.T + auxFy=auxP*vector_auxF_y.T fxj[n_p]=-np.sum(auxFx) fyj=-np.sum(auxFy) From dfeb55a0d93c5725e1b3c342f121cae462871f6b Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 3 Dec 2020 10:17:07 -0300 Subject: [PATCH 042/138] Extensive debugging Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 176 ++++++++++++++++++--------------- 1 file changed, 98 insertions(+), 78 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 2e0260482..b398d42d1 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -68,8 +68,12 @@ Tmax """ +phi=30*np.pi/180 +E=0.5 + + # optim values from legacy codes -# x=[0.000321298907440948 0.000218101024776208 0.000241891712348458 0.000385504446042090 0.000516992650533115 0.000460227890390222]; +x=np.array([0.000321298907440948, 0.000218101024776208, 0.000241891712348458, 0.000385504446042090, 0.000516992650533115, 0.000460227890390222]) psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) npad = 6 @@ -83,7 +87,7 @@ # Rotor center position xx = E * Cr * np.cos(phi) yy = E * Cr * np.sin(phi) -alphapt = 0 * (2 * pi * 5) * alpha +alphapt = 0 # * (2 * np.pi * 5) * alpha # Geometric parameters for the bearing -------------------------------------------- @@ -160,28 +164,29 @@ Z2=1 # final coordinate z dimensionless dZ=1/(nZ) # differential z dimensionless dz=dZ*L # differential z dimensional: [m] +XZ = np.zeros([nZ+2]) XZ[0]=Z1 XZ[nZ+1]=Z2 - -XZ[0:nZ-1] = Z1+0.5* np.array([dz, Z2-0.5*dZ, dz]) # vector z dimensionless +XZ[1:nZ+1] = Z1+np.arange(0.5*dZ, Z2, dZ) # vector z dimensionless XZdim=XZ*L # vector z dimensional [m] N1=0 # initial coordinate netha dimensionless N2=1 # final coordinate netha dimensionless dN=1/(nN) # differential netha dimensionless -netha[1]=N1 -netha[nN+1]=N2 -netha[0:nN-1]=N1+0.5* np.array([dN, N2-0.5*dN, dN]) # vector netha dimensionless +netha = np.zeros([nN+2]) +netha[0]=N1 +netha[nN+1]=N2 +netha[1:nN+1]=N1+np.arange(0.5*dN, N2, dN) # vector netha dimensionless theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] dtheta=betha_s/(ntheta) # differential theta [rad] +Xtheta = np.zeros([ntheta+2]) Xtheta[0]=theta1 -Xtheta[ntheta]=theta2 - -Xtheta[0:ntheta-1]=theta1+0.5* np.array([dtheta, theta2-0.5*dtheta, dtheta]) # vector theta [rad] +Xtheta[ntheta+1]=theta2 +Xtheta[1:ntheta+1]=np.arange(theta1+0.5*dtheta, theta2, dtheta) # vector theta [rad] dX=1/nX # differential x dimensionless dx=dX*(betha_s*Rs) # differential x dimensional: [m] @@ -213,9 +218,22 @@ Vv=np.zeros((nN,ntheta)) Vw=np.zeros((nN,ntheta)) -YH = np.zeros[nN+2,nX+2,npad] +YH = np.zeros((nN+2,nX+2,npad)) + +XH = np.zeros((nN+2,nX+2)) + -XH = np.zeros[nN+2,nX+2] + +vector_mi=np.zeros((3,nN+1)) +auxFF0P=np.zeros((nN+2)) +auxFF1P=np.zeros((nN+2)) +auxFF0E=np.zeros((nN+2)) +auxFF1E=np.zeros((nN+2)) +auxFF0W=np.zeros((nN+2)) +auxFF1W=np.zeros((nN+2)) +auxFF2P=np.zeros((nN+2)) +auxFF2E=np.zeros((nN+2)) +auxFF2W=np.zeros((nN+2)) for ii in range(0,nX+2): @@ -226,11 +244,11 @@ alpha=psi_pad[n_p-1] # transformation of coordinates - xryr=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))], - [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xx], [yy]]) + xryr=np.array([[np.cos(sigma[n_p]) , np.sin(sigma[n_p])], + [-np.sin(sigma[n_p]) , np.cos(sigma[n_p])]]) * np.array([[xx], [yy]]) - xryrpt=np.array([[np.cos(sigma(n_p)) , np.sin(sigma(n_p))], - [-np.sin(sigma(n_p)) , np.cos(sigma(n_p))]]) * np.array([[xpt], [ypt]]) + xryrpt=np.array([[np.cos(sigma[n_p]) , np.sin(sigma[n_p])], + [-np.sin(sigma[n_p]) , np.cos(sigma[n_p])]]) * np.array([[xpt], [ypt]]) xr=xryr[0] yr=xryr[1] @@ -239,7 +257,7 @@ yrpt=xryrpt[1] # Temperature matrix with boundary conditions ==================================== - T_novo=T_ref*np.ones(nN+2,ntheta+2) + T_novo=T_ref*np.ones((nN+2,ntheta+2)) Tcomp=1.2*T_novo @@ -250,21 +268,24 @@ Tcomp=T_novo nk=nZ*ntheta - K_null=np.zeros[1,nk] - Kij_null=np.zeros[nZ,ntheta] - ki=1 - kj=1 - k=0; # pressure vectorization index - nn=1 + K_null=np.zeros((1,nk)) + Kij_null=np.zeros((nZ,ntheta)) + ki=0 + kj=0 + k=0 # pressure vectorization index + nn=0 - Mat_coef=np.zeros[nk,nk] - b=np.zeros[nk] + Mat_coef=np.zeros((nk,nk)) + b=np.zeros((nk)) + # Mesh loop in Z direction ==================================================== - for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + #for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + for ii in XZ: # Mesh loop in THETA direction ==================================================== - for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): + #for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): + for jj in Xtheta: if kj==1 : vector_mi[0,]=mi[ki,kj,] @@ -282,11 +303,12 @@ vector_mi[2,]=mi[ki,kj-1,] # Loop in N - for kk in range(N1+0.5*dN, dN, N2-0.5*dN): + #for kk in range(N1+0.5*dN, dN, N2-0.5*dN): + for kk in netha: - mi_adP=vector_mi(0,nN-nn)/mi_ref - mi_adE=vector_mi(1,nN-nn)/mi_ref - mi_adW=vector_mi(2,nN-nn)/mi_ref + mi_adP=vector_mi[0,nN-nn]/mi_ref + mi_adE=vector_mi[1,nN-nn]/mi_ref + mi_adW=vector_mi[2,nN-nn]/mi_ref auxFF0P[nn]=(1/mi_adP) auxFF1P[nn]=(kk/mi_adP) @@ -298,32 +320,32 @@ nn=nn+1 - nn=1 + nn=0 auxFF0P[0]=auxFF0P[1] - auxFF0P[nN]=auxFF0P[nN] + auxFF0P[nN+1]=auxFF0P[nN] auxFF1P[0]=0 - auxFF1P[nN]=(N2/(vector_mi[0,nN]/mi_ref)) + auxFF1P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref)) auxFF0E[0]=auxFF0E[1] - auxFF0E[nN]=auxFF0E[nN] + auxFF0E[nN+1]=auxFF0E[nN] auxFF1E[0]=0 - auxFF1E[nN]=(N2/(vector_mi[1,nN]/mi_ref)) + auxFF1E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref)) auxFF0W[0]=auxFF0W[1] - auxFF0W[nN]=auxFF0W[nN] + auxFF0W[nN+1]=auxFF0W[nN] auxFF1W[0]=0 - auxFF1W[nN]=(N2/(vector_mi[2,nN]/mi_ref)) + auxFF1W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref)) - FF0P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0P[1:]+auxFF0P[0:-2])) - FF1P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1P[1:]+auxFF1P[0:-2])) - FF0E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0E[1:]+auxFF0E[0:-2])) - FF1E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1E[1:]+auxFF1E[0:-2])) - FF0W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF0W[1:]+auxFF0W[0:-2])) - FF1W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF1W[1:]+auxFF1W[0:-2])) + FF0P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0P[1:]+auxFF0P[0:-1])) + FF1P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1P[1:]+auxFF1P[0:-1])) + FF0E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0E[1:]+auxFF0E[0:-1])) + FF1E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1E[1:]+auxFF1E[0:-1])) + FF0W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0W[1:]+auxFF0W[0:-1])) + FF1W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1W[1:]+auxFF1W[0:-1])) FF0e=0.5*(FF0P+FF0E) FF0w=0.5*(FF0P+FF0W) @@ -331,7 +353,8 @@ FF1w=0.5*(FF1P+FF1W) # Loop in N - for kk in range(N1+0.5*dN, dN, N2-0.5*dN): + #for kk in range(N1+0.5*dN, dN, N2-0.5*dN): + for kk in netha: mi_adP=vector_mi[0,nN-nn]/mi_ref mi_adE=vector_mi[1,nN-nn]/mi_ref @@ -342,7 +365,7 @@ auxFF2W[nn]=(kk/mi_adW)*(kk-FF1W/FF0W) nn=nn+1 - nn=1 + nn=0 auxFF2P[0]=0 auxFF2P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref))*(N2-FF1P/FF0P) @@ -354,9 +377,9 @@ auxFF2W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref))*(N2-FF1P/FF0P) # integration process =================================================== - FF2P=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2P[1:]+auxFF2P[0:-2])) - FF2E=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2E[1:]+auxFF2E[0:-2])) - FF2W=0.5*np.sum((netha[1:]-netha[0:-2])*(auxFF2W[1:]+auxFF2W[0:-2])) + FF2P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2P[1:]+auxFF2P[0:-1])) + FF2E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2E[1:]+auxFF2E[0:-1])) + FF2W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2W[1:]+auxFF2W[0:-1])) FF2e=0.5*(FF2P+FF2E) FF2w=0.5*(FF2P+FF2W) @@ -450,7 +473,7 @@ kj=kj+1 # loop end - kj=1 + kj=0 ki=ki+1 # loop end @@ -498,10 +521,10 @@ # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% # Velocity field calculation - ki=1 - kj=1 - kk=1 - nn=1 + ki=0 + kj=0 + kk=0 + nn=0 # Dimensionless Netha loop ==================================================== for ky in range((N1+0.5*dN), dN, (N2-0.5*dN)): @@ -540,7 +563,7 @@ auxFF0[nn+1]=1/mi[ki,kj,nN+1-nn] auxFF1[nn+1]=contk/mi[ki,kj,nN+1-nn] nn=nn+1 - nn=1 + nn=0 auxFF0[0]=auxFF0[1] auxFF0[nN+2]=auxFF0[nN+1] @@ -561,8 +584,8 @@ auxG1[nn+1]=contk/mi[ki, kj, nN+1-nn] ydim2[nn+1]=contk nn=nn+1 - - nn=1 + nn=0 + auxG0[0]=auxG0[1] auxG1[0]=0 ydim2[0]=N1*h @@ -576,19 +599,19 @@ kj=kj+1 - kj=1 + kj=0 ki=ki+1 - ki=1 + ki=0 kk=kk+1 # Radial speed calculation start ---------------------------------------------------- - nn=1 - ki=1 - kj=1 - kk=1 + nn=0 + ki=0 + kj=0 + kk=0 # Mesh loop in Z direction ==================================================== @@ -603,8 +626,7 @@ dudx[0,nn]=0 dwdz[0,nn]=0 nn=nn+1 - - nn=1 + nn=0 @@ -613,8 +635,7 @@ dudx[0,nn+1]=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx dwdz[0,nn+1]=0 nn=nn+1 - - nn=1 + nn=0 if (ki>1 and kj==1): @@ -622,8 +643,7 @@ dudx[0,nn+1]=0 dwdz[0,nn+1]=(vw[ki,kj,nn]-vw[ki-1,kj,nn])/dz nn=nn+1 - - nn=1 + nn=0 if (ki>1 and ki1 and kj Date: Thu, 3 Dec 2020 10:51:29 -0300 Subject: [PATCH 043/138] Extensive debugging 2 Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 1981 +++++++++++++++++--------------- 1 file changed, 1065 insertions(+), 916 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index b398d42d1..a5787b670 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -20,22 +20,23 @@ from ross.element import Element from ross.fluid_flow import fluid_flow as flow from ross.fluid_flow.fluid_flow_coefficients import ( - calculate_short_damping_matrix, calculate_short_stiffness_matrix) + calculate_short_damping_matrix, + calculate_short_stiffness_matrix, +) from ross.units import Q_, check_units from ross.utils import read_table_file - # __all__ = [ # ] # FOR THE MOMENT, THIS CODE IS BEING TRANSLATED FROM MATLAB TO PYTHON, AND # THEREFORE THIS PROCESS WILL BE MADE IN LINEAR PROGRAMMING STANDARDS. ONCE -# THIS INITIAL TRANSLATION IS DONE, AND THE CODE VALIDATED, THE MODULARIZATION +# THIS INITIAL TRANSLATION IS DONE, AND THE CODE VALIDATED, THE MODULARIZATION # AND CONVERSION TO OBJECT ORIENTED STANDARDS WILL BE MADE. -#class _TiltingPad: +# class _TiltingPad: # """Tilting-pad hydrodynamic bearing properties calculation class. # # This class takes the tilting-pad bearing geometrical and physical properties, to @@ -46,7 +47,6 @@ # """ # # def __init__(self, coefficient, frequency=None): - """ @@ -68,12 +68,21 @@ Tmax """ -phi=30*np.pi/180 -E=0.5 +phi = 30 * np.pi / 180 +E = 0.5 # optim values from legacy codes -x=np.array([0.000321298907440948, 0.000218101024776208, 0.000241891712348458, 0.000385504446042090, 0.000516992650533115, 0.000460227890390222]) +x = np.array( + [ + 0.000321298907440948, + 0.000218101024776208, + 0.000241891712348458, + 0.000385504446042090, + 0.000516992650533115, + 0.000460227890390222, + ] +) psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) npad = 6 @@ -87,7 +96,7 @@ # Rotor center position xx = E * Cr * np.cos(phi) yy = E * Cr * np.sin(phi) -alphapt = 0 # * (2 * np.pi * 5) * alpha +alphapt = 0 # * (2 * np.pi * 5) * alpha # Geometric parameters for the bearing -------------------------------------------- @@ -96,1037 +105,1177 @@ R = 0.5 * 930e-3 # Pad radius -Rs=0.5*934e-3 # [m] +Rs = 0.5 * 934e-3 # [m] # Pad thickness -esp=67e-3 # [m] +esp = 67e-3 # [m] # Pad arc -betha_s=25 # [degree] -betha_s=betha_s*(np.pi/180) # [rad] +betha_s = 25 # [degree] +betha_s = betha_s * (np.pi / 180) # [rad] # Pivot position (arc pivot/arc pad) -rp_pad=0.6 +rp_pad = 0.6 # Bength of bearing -L=197e-3 # [m] +L = 197e-3 # [m] # Angular position of the pivot -sigma = np.array([0,300,60]) # [degree] -sigma= sigma*(np.pi/180) # [rad] +sigma = np.array([0, 300, 60]) # [degree] +sigma = sigma * (np.pi / 180) # [rad] -# Bearing loading -fR=90.6e3 # [N] +# Bearing loading +fR = 90.6e3 # [N] # Rotor speed -wa=300 # [rpm] -war=wa*(np.pi/30) # rad/s +wa = 300 # [rpm] +war = wa * (np.pi / 30) # rad/s # Reference temperature -T_ref=Tcuba # [Celsius] +T_ref = Tcuba # [Celsius] # Thermal properties for the oil ---------------------------------------------------- # Thermal conductivity -kt=0.07031*np.exp(484.1/(Tcuba+273.15+474)) # [J/s.m.C] +kt = 0.07031 * np.exp(484.1 / (Tcuba + 273.15 + 474)) # [J/s.m.C] # Specific heat -Cp=(16.5*np.exp(-2442/(Tcuba+273.15+829.1)))*1e3 # [J/kgC] +Cp = (16.5 * np.exp(-2442 / (Tcuba + 273.15 + 829.1))) * 1e3 # [J/kgC] # Specific mass -rho=0.04514*np.exp(9103/(Tcuba+273.15+2766))*1e3 # [kg/m**2] +rho = 0.04514 * np.exp(9103 / (Tcuba + 273.15 + 2766)) * 1e3 # [kg/m**2] # Reference viscosity -#mi_ref=0.0752 -mi_ref=5.506e-09*np.exp(5012/(Tcuba+273.15+0.1248)) # [N.s/m**2] +# mi_ref=0.0752 +mi_ref = 5.506e-09 * np.exp(5012 / (Tcuba + 273.15 + 0.1248)) # [N.s/m**2] # Bearing Position --------------------------------------------------------- # Rotor center velocity -xpt=-(2*np.pi*5)*yy -ypt=(2*np.pi*5)*xx +xpt = -(2 * np.pi * 5) * yy +ypt = (2 * np.pi * 5) * xx # Discretized Mesh ------------------------------------------------------ # Number of volumes in theta direction -ntheta=48 +ntheta = 48 # Number of volumes in x direction -nX=ntheta +nX = ntheta # Number of volumes in z direction -nZ=48 +nZ = 48 # Number of volumes in neta direction -nN=30 - -Z1=0 # initial coordinate z dimensionless -Z2=1 # final coordinate z dimensionless -dZ=1/(nZ) # differential z dimensionless -dz=dZ*L # differential z dimensional: [m] -XZ = np.zeros([nZ+2]) -XZ[0]=Z1 -XZ[nZ+1]=Z2 -XZ[1:nZ+1] = Z1+np.arange(0.5*dZ, Z2, dZ) # vector z dimensionless - -XZdim=XZ*L # vector z dimensional [m] - -N1=0 # initial coordinate netha dimensionless -N2=1 # final coordinate netha dimensionless -dN=1/(nN) # differential netha dimensionless - -netha = np.zeros([nN+2]) -netha[0]=N1 -netha[nN+1]=N2 -netha[1:nN+1]=N1+np.arange(0.5*dN, N2, dN) # vector netha dimensionless - -theta1=-(rp_pad)*betha_s # initial coordinate theta [rad] -theta2=(1-rp_pad)*betha_s # final coordinate theta [rad] -dtheta=betha_s/(ntheta) # differential theta [rad] -Xtheta = np.zeros([ntheta+2]) -Xtheta[0]=theta1 -Xtheta[ntheta+1]=theta2 -Xtheta[1:ntheta+1]=np.arange(theta1+0.5*dtheta, theta2, dtheta) # vector theta [rad] - -dX=1/nX # differential x dimensionless -dx=dX*(betha_s*Rs) # differential x dimensional: [m] -XX=Xtheta*Rs # vector x dimensional: [m +nN = 30 + +Z1 = 0 # initial coordinate z dimensionless +Z2 = 1 # final coordinate z dimensionless +dZ = 1 / (nZ) # differential z dimensionless +dz = dZ * L # differential z dimensional: [m] +XZ = np.zeros([nZ + 2]) +XZ[0] = Z1 +XZ[nZ + 1] = Z2 +XZ[1 : nZ + 1] = Z1 + np.arange(0.5 * dZ, Z2, dZ) # vector z dimensionless + +XZdim = XZ * L # vector z dimensional [m] + +N1 = 0 # initial coordinate netha dimensionless +N2 = 1 # final coordinate netha dimensionless +dN = 1 / (nN) # differential netha dimensionless + +netha = np.zeros([nN + 2]) +netha[0] = N1 +netha[nN + 1] = N2 +netha[1 : nN + 1] = N1 + np.arange(0.5 * dN, N2, dN) # vector netha dimensionless + +theta1 = -(rp_pad) * betha_s # initial coordinate theta [rad] +theta2 = (1 - rp_pad) * betha_s # final coordinate theta [rad] +dtheta = betha_s / (ntheta) # differential theta [rad] +Xtheta = np.zeros([ntheta + 2]) +Xtheta[0] = theta1 +Xtheta[ntheta + 1] = theta2 +Xtheta[1 : ntheta + 1] = np.arange( + theta1 + 0.5 * dtheta, theta2, dtheta +) # vector theta [rad] + +dX = 1 / nX # differential x dimensionless +dx = dX * (betha_s * Rs) # differential x dimensional: [m] +XX = Xtheta * Rs # vector x dimensional: [m # Pad recess -len_betha=0.39*betha_s # Pad Angle with recess -len_L=0.71*L # Bearing length with recess -center_pos_L=L/2 -start_pos_betha=0*betha_s -drop_pressure_pos_L=np.array([center_pos_L-len_L/2, center_pos_L+len_L/2]) -drop_pressure_pos_betha=np.array([start_pos_betha, start_pos_betha+len_betha]) - -drop_pressure_Ele_nZ=np.intersect1d(np.where(XZdim>drop_pressure_pos_L[0]), np.where(XZdim=drop_pressure_pos_betha[0]+theta1), np.where(Xtheta<=drop_pressure_pos_betha[1]+theta1)) +len_betha = 0.39 * betha_s # Pad Angle with recess +len_L = 0.71 * L # Bearing length with recess +center_pos_L = L / 2 +start_pos_betha = 0 * betha_s +drop_pressure_pos_L = np.array([center_pos_L - len_L / 2, center_pos_L + len_L / 2]) +drop_pressure_pos_betha = np.array([start_pos_betha, start_pos_betha + len_betha]) + +drop_pressure_Ele_nZ = np.intersect1d( + np.where(XZdim > drop_pressure_pos_L[0]), np.where(XZdim < drop_pressure_pos_L[1]) +) +drop_pressure_Ele_ntetha = np.intersect1d( + np.where(Xtheta >= drop_pressure_pos_betha[0] + theta1), + np.where(Xtheta <= drop_pressure_pos_betha[1] + theta1), +) # Initial Parameters --------------------------------------------------------------- -Tmist=T_ref*np.ones((nN+2)) -minovo=mi_ref*np.ones((nZ,ntheta,nN)) # Initial viscosity field +Tmist = T_ref * np.ones((nN + 2)) +minovo = mi_ref * np.ones((nZ, ntheta, nN)) # Initial viscosity field # Velocity field - 3D -vu=np.zeros((nZ,ntheta,nN)) -vv=np.zeros((nZ,ntheta,nN)) -vw=np.zeros((nZ,ntheta,nN)) +vu = np.zeros((nZ, ntheta, nN)) +vv = np.zeros((nZ, ntheta, nN)) +vw = np.zeros((nZ, ntheta, nN)) # Velocity field - 2D -Vu=np.zeros((nN,ntheta)) -Vv=np.zeros((nN,ntheta)) -Vw=np.zeros((nN,ntheta)) - -YH = np.zeros((nN+2,nX+2,npad)) - -XH = np.zeros((nN+2,nX+2)) +Vu = np.zeros((nN, ntheta)) +Vv = np.zeros((nN, ntheta)) +Vw = np.zeros((nN, ntheta)) +YH = np.zeros((nN + 2, nX + 2, npad)) +XH = np.zeros((nN + 2, nX + 2)) -vector_mi=np.zeros((3,nN+1)) -auxFF0P=np.zeros((nN+2)) -auxFF1P=np.zeros((nN+2)) -auxFF0E=np.zeros((nN+2)) -auxFF1E=np.zeros((nN+2)) -auxFF0W=np.zeros((nN+2)) -auxFF1W=np.zeros((nN+2)) -auxFF2P=np.zeros((nN+2)) -auxFF2E=np.zeros((nN+2)) -auxFF2W=np.zeros((nN+2)) - -for ii in range(0,nX+2): - XH[:,ii] = Xtheta[ii] +for ii in range(0, nX + 2): + XH[:, ii] = Xtheta[ii] # Loop on the pads ========================================================================== -for n_p in range(0,npad): - alpha=psi_pad[n_p-1] +for n_p in range(0, npad): + alpha = psi_pad[n_p - 1] # transformation of coordinates - xryr=np.array([[np.cos(sigma[n_p]) , np.sin(sigma[n_p])], - [-np.sin(sigma[n_p]) , np.cos(sigma[n_p])]]) * np.array([[xx], [yy]]) - - xryrpt=np.array([[np.cos(sigma[n_p]) , np.sin(sigma[n_p])], - [-np.sin(sigma[n_p]) , np.cos(sigma[n_p])]]) * np.array([[xpt], [ypt]]) - - xr=xryr[0] - yr=xryr[1] - - xrpt=xryrpt[0] - yrpt=xryrpt[1] - + xryr = np.dot( + [ + [np.cos(sigma[n_p]), np.sin(sigma[n_p])], + [-np.sin(sigma[n_p]), np.cos(sigma[n_p])], + ], + [[xx], [yy]], + ) + + xryrpt = np.dot( + [ + [np.cos(sigma[n_p]), np.sin(sigma[n_p])], + [-np.sin(sigma[n_p]), np.cos(sigma[n_p])], + ], + [[xpt], [ypt]], + ) + + xr = xryr[0, 0] + yr = xryr[1, 0] + + xrpt = xryrpt[0, 0] + yrpt = xryrpt[1, 0] + # Temperature matrix with boundary conditions ==================================== - T_novo=T_ref*np.ones((nN+2,ntheta+2)) - - Tcomp=1.2*T_novo - + T_novo = T_ref * np.ones((nN + 2, ntheta + 2)) + + Tcomp = 1.2 * T_novo + # Oil temperature field loop ================================================================ - while (np.linalg.norm((T_novo-Tcomp) / np.linalg.norm(Tcomp)) > 0.01): - - mi=minovo - Tcomp=T_novo - - nk=nZ*ntheta - K_null=np.zeros((1,nk)) - Kij_null=np.zeros((nZ,ntheta)) - ki=0 - kj=0 - k=0 # pressure vectorization index - nn=0 - - Mat_coef=np.zeros((nk,nk)) - b=np.zeros((nk)) - + while np.linalg.norm((T_novo - Tcomp) / np.linalg.norm(Tcomp)) > 0.01: + + nk = nZ * ntheta + vector_mi = np.zeros((3, nN)) + auxFF0P = np.zeros((nN + 2)) + auxFF1P = np.zeros((nN + 2)) + auxFF0E = np.zeros((nN + 2)) + auxFF1E = np.zeros((nN + 2)) + auxFF0W = np.zeros((nN + 2)) + auxFF1W = np.zeros((nN + 2)) + auxFF2P = np.zeros((nN + 2)) + auxFF2E = np.zeros((nN + 2)) + auxFF2W = np.zeros((nN + 2)) + hhh = np.zeros((nk, npad)) + K_null = np.zeros((1, nk)) + Kij_null = np.zeros((nZ, ntheta)) + + mi = minovo + Tcomp = T_novo + + ki = 0 + kj = 0 + k = 0 # pressure vectorization index + nn = 0 + + Mat_coef = np.zeros((nk, nk)) + b = np.zeros((nk)) # Mesh loop in Z direction ==================================================== - #for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + # for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): for ii in XZ: - + # Mesh loop in THETA direction ==================================================== - #for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): + # for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): for jj in Xtheta: - - if kj==1 : - vector_mi[0,]=mi[ki,kj,] - vector_mi[1,]=mi[ki,kj+1,] - vector_mi[2,]=mi[ki,kj,] - - if kj==ntheta : - vector_mi[0,]=mi[ki,kj,] - vector_mi[1,]=mi[ki,kj,] - vector_mi[2,]=mi[ki,kj-1,] - - if (kj>1 and kj 1 and kj < ntheta: + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj + 1, :] + vector_mi[2, :] = mi[ki, kj - 1, :] + + # Loop in N + # for kk in range(N1+0.5*dN, dN, N2-0.5*dN): for kk in netha: - - mi_adP=vector_mi[0,nN-nn]/mi_ref - mi_adE=vector_mi[1,nN-nn]/mi_ref - mi_adW=vector_mi[2,nN-nn]/mi_ref - - auxFF0P[nn]=(1/mi_adP) - auxFF1P[nn]=(kk/mi_adP) - auxFF0E[nn]=(1/mi_adE) - auxFF1E[nn]=(kk/mi_adE) - auxFF0W[nn]=(1/mi_adW) - auxFF1W[nn]=(kk/mi_adW) - - nn=nn+1 - - - nn=0 - - auxFF0P[0]=auxFF0P[1] - auxFF0P[nN+1]=auxFF0P[nN] - - auxFF1P[0]=0 - auxFF1P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref)) - - auxFF0E[0]=auxFF0E[1] - auxFF0E[nN+1]=auxFF0E[nN] - - auxFF1E[0]=0 - auxFF1E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref)) - - auxFF0W[0]=auxFF0W[1] - auxFF0W[nN+1]=auxFF0W[nN] - - auxFF1W[0]=0 - auxFF1W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref)) - - FF0P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0P[1:]+auxFF0P[0:-1])) - FF1P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1P[1:]+auxFF1P[0:-1])) - FF0E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0E[1:]+auxFF0E[0:-1])) - FF1E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1E[1:]+auxFF1E[0:-1])) - FF0W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF0W[1:]+auxFF0W[0:-1])) - FF1W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF1W[1:]+auxFF1W[0:-1])) - - FF0e=0.5*(FF0P+FF0E) - FF0w=0.5*(FF0P+FF0W) - FF1e=0.5*(FF1P+FF1E) - FF1w=0.5*(FF1P+FF1W) - - # Loop in N - #for kk in range(N1+0.5*dN, dN, N2-0.5*dN): + + mi_adP = vector_mi[0, nN - nn - 1] / mi_ref + mi_adE = vector_mi[1, nN - nn - 1] / mi_ref + mi_adW = vector_mi[2, nN - nn - 1] / mi_ref + + auxFF0P[nn] = 1 / mi_adP + auxFF1P[nn] = kk / mi_adP + auxFF0E[nn] = 1 / mi_adE + auxFF1E[nn] = kk / mi_adE + auxFF0W[nn] = 1 / mi_adW + auxFF1W[nn] = kk / mi_adW + + nn = nn + 1 + + nn = 0 + + auxFF0P[0] = auxFF0P[1] + auxFF0P[nN + 1] = auxFF0P[nN] + + auxFF1P[0] = 0 + auxFF1P[nN + 1] = N2 / (vector_mi[0, nN - 1] / mi_ref) + + auxFF0E[0] = auxFF0E[1] + auxFF0E[nN + 1] = auxFF0E[nN] + + auxFF1E[0] = 0 + auxFF1E[nN + 1] = N2 / (vector_mi[1, nN - 1] / mi_ref) + + auxFF0W[0] = auxFF0W[1] + auxFF0W[nN + 1] = auxFF0W[nN] + + auxFF1W[0] = 0 + auxFF1W[nN + 1] = N2 / (vector_mi[2, nN - 1] / mi_ref) + + FF0P = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) + ) + FF1P = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) + ) + FF0E = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) + ) + FF1E = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) + ) + FF0W = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) + ) + FF1W = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) + ) + + FF0e = 0.5 * (FF0P + FF0E) + FF0w = 0.5 * (FF0P + FF0W) + FF1e = 0.5 * (FF1P + FF1E) + FF1w = 0.5 * (FF1P + FF1W) + + # Loop in N + # for kk in range(N1+0.5*dN, dN, N2-0.5*dN): for kk in netha: - - mi_adP=vector_mi[0,nN-nn]/mi_ref - mi_adE=vector_mi[1,nN-nn]/mi_ref - mi_adW=vector_mi[2,nN-nn]/mi_ref - - auxFF2P[nn]=(kk/mi_adP)*(kk-FF1P/FF0P) - auxFF2E[nn]=(kk/mi_adE)*(kk-FF1E/FF0E) - auxFF2W[nn]=(kk/mi_adW)*(kk-FF1W/FF0W) - nn=nn+1 - - nn=0 - - auxFF2P[0]=0 - auxFF2P[nN+1]=(N2/(vector_mi[0,nN]/mi_ref))*(N2-FF1P/FF0P) - - auxFF2E[0]=0 - auxFF2E[nN+1]=(N2/(vector_mi[1,nN]/mi_ref))*(N2-FF1P/FF0P) - - auxFF2W[0]=0 - auxFF2W[nN+1]=(N2/(vector_mi[2,nN]/mi_ref))*(N2-FF1P/FF0P) - + + mi_adP = vector_mi[0, nN - nn - 1] / mi_ref + mi_adE = vector_mi[1, nN - nn - 1] / mi_ref + mi_adW = vector_mi[2, nN - nn - 1] / mi_ref + + auxFF2P[nn] = (kk / mi_adP) * (kk - FF1P / FF0P) + auxFF2E[nn] = (kk / mi_adE) * (kk - FF1E / FF0E) + auxFF2W[nn] = (kk / mi_adW) * (kk - FF1W / FF0W) + nn = nn + 1 + + nn = 0 + + auxFF2P[0] = 0 + auxFF2P[nN + 1] = (N2 / (vector_mi[0, nN - 1] / mi_ref)) * ( + N2 - FF1P / FF0P + ) + + auxFF2E[0] = 0 + auxFF2E[nN + 1] = (N2 / (vector_mi[1, nN - 1] / mi_ref)) * ( + N2 - FF1P / FF0P + ) + + auxFF2W[0] = 0 + auxFF2W[nN + 1] = (N2 / (vector_mi[2, nN - 1] / mi_ref)) * ( + N2 - FF1P / FF0P + ) + # integration process =================================================== - FF2P=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2P[1:]+auxFF2P[0:-1])) - FF2E=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2E[1:]+auxFF2E[0:-1])) - FF2W=0.5*np.sum((netha[1:]-netha[0:-1])*(auxFF2W[1:]+auxFF2W[0:-1])) - - FF2e=0.5*(FF2P+FF2E) - FF2w=0.5*(FF2P+FF2W) - FF2n=FF2P - FF2s=FF2n - + FF2P = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) + ) + FF2E = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) + ) + FF2W = 0.5 * np.sum( + (netha[1:] - netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) + ) + + FF2e = 0.5 * (FF2P + FF2E) + FF2w = 0.5 * (FF2P + FF2W) + FF2n = FF2P + FF2s = FF2n # Admensional oil film thickness ======================================== - hP=(Rs-R-(np.sin(jj)*(yr+alpha*(Rs+esp))+np.cos(jj)*(xr+Rs-R-Cr)))/Cr - he=(Rs-R-(np.sin(jj+0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj+0.5*dtheta)*(xr+Rs-R-Cr)))/Cr - hw=(Rs-R-(np.sin(jj-0.5*dtheta)*(yr+alpha*(Rs+esp))+np.cos(jj-0.5*dtheta)*(xr+Rs-R-Cr)))/Cr - hn=hP - hs=hn - hpt=-(1/(Cr*war))*(np.cos(jj)*xrpt+np.sin(jj)*yrpt+np.sin(jj)*(Rs+esp)*alphapt) # admensional - - CE=1/(betha_s)**2*(FF2e*he**3)*dZ/dX - CW=1/(betha_s)**2*(FF2w*hw**3)*dZ/dX - CN=(FF2n*hn**3)*(dX/dZ)*(Rs/L)**2 - CS=(FF2s*hs**3)*(dX/dZ)*(Rs/L)**2 - CP=-(CE+CW+CN+CS) - B=(R/(Rs*betha_s))*dZ*(he*(1-FF1e/FF0e)-hw*(1-FF1w/FF0w))+hpt*dX*dZ - k=k+1 - b[k,0]=B - hhh[k,n_p]=hP*Cr - - if (ki==1 and kj==1): - Mat_coef[k,k]=CP-CN-CW - Mat_coef[k,k+1]=CE - Mat_coef[k,k+ntheta]=CS - - - if (ki==1 and kj>1 and kj1 and ki1 and ki1 and kj1 and ki1 and kj 1 and kj < nX: + Mat_coef[k, k] = CP - CN + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k + ntheta] = CS + + if ki == 1 and kj == nX: + Mat_coef[k, k] = CP - CE - CN + Mat_coef[k, k - 1] = CW + Mat_coef[k, k + ntheta] = CS + + if kj == 1 and ki > 1 and ki < nZ: + Mat_coef[k, k] = CP - CW + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - ntheta] = CN + Mat_coef[k, k + ntheta] = CS + + if ki > 1 and ki < nZ and kj > 1 and kj < nX: + Mat_coef[k, k] = CP + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - ntheta] = CN + Mat_coef[k, k + ntheta] = CS + Mat_coef[k, k + 1] = CE + + if kj == nX and ki > 1 and ki < nZ: + Mat_coef[k, k] = CP - CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - ntheta] = CN + Mat_coef[k, k + ntheta] = CS + + if kj == 1 and ki == nZ: + Mat_coef[k, k] = CP - CS - CW + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - ntheta] = CN + + if ki == nZ and kj > 1 and kj < nX: + Mat_coef[k, k] = CP - CS + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - ntheta] = CN + + if ki == nZ and kj == nX: + Mat_coef[k, k] = CP - CE - CS + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - ntheta] = CN + + if ( + len(np.where(drop_pressure_Ele_nZ == ki + 1)[0]) == 0 + and len(np.where(drop_pressure_Ele_ntetha == kj + 1)[0]) == 0 + ): + K_null[0, k] = k + Kij_null[ki, kj] = 1 + + kj = kj + 1 # loop end - - kj=0 - ki=ki+1 + + kj = 0 + ki = ki + 1 # loop end - - # Pressure field solution ============================================================== - - cc=find(K_null==0) - p=np.linalg.solve(Mat_coef[cc,cc], b[cc,cc]) # verificar matriz b - - cont=0 - + + cc = find(K_null == 0) + p = np.linalg.solve(Mat_coef[cc, cc], b[cc, cc]) # verificar matriz b + + cont = 0 + # Matrix form of the pressure field ==================================================== for i in range(1, nZ): # Loop in Z for j in range(1, ntheta): # Loop in THETA - if (len(np.where(drop_pressure_Ele_nZ==i+1)[0])==0 and len(np.where(drop_pressure_Ele_ntetha==j+1)[0])==0): - P[i,j]=0 + if ( + len(np.where(drop_pressure_Ele_nZ == i + 1)[0]) == 0 + and len(np.where(drop_pressure_Ele_ntetha == j + 1)[0]) == 0 + ): + P[i, j] = 0 else: - - cont=cont+1 - P[i,j]=p(cont) - - if (P[i,j] < 0): - P[i,j]=0 - + + cont = cont + 1 + P[i, j] = p(cont) + + if P[i, j] < 0: + P[i, j] = 0 # Pressure border conditions ==================================================== for i in range(1, nZ): # Loop in Z for j in range(1, ntheta): # Loop in THETA - if (P[i,j]<0): - P[i,j]=0 - - + if P[i, j] < 0: + P[i, j] = 0 + # Dimmensional pressure determination in Pascals - Pdim=P*mi_ref*war*Rs^2/Cr^2 - + Pdim = P * mi_ref * war * Rs ^ 2 / Cr ^ 2 + # Full pressure field with borders - PPdim=zeros[nZ+2,ntheta+2] - - for i in range(2, nZ+1): # Loop in Z - for j in range(2, ntheta+1): # Loop in THETA - PPdim[i,j]=Pdim[i-1,j-1] - - + PPdim = np.zeros((nZ + 2, ntheta + 2)) + + for i in range(2, nZ + 1): # Loop in Z + for j in range(2, ntheta + 1): # Loop in THETA + PPdim[i, j] = Pdim[i - 1, j - 1] + # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% - + # Velocity field calculation - ki=0 - kj=0 - kk=0 - nn=0 - + ki = 0 + kj = 0 + kk = 0 + nn = 0 + # Dimensionless Netha loop ==================================================== - for ky in range((N1+0.5*dN), dN, (N2-0.5*dN)): + for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): # Mesh loop in Z direction ==================================================== - for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): # Mesh loop in THETA direction ==================================================== - for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): - + for jj in range( + (theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta) + ): + # Pressure gradients calculation - if (ki==1 and kj==1): - dPdx=Pdim[ki,kj]/(0.5*dx) - dPdz=Pdim[ki,kj]/(0.5*dz) - - - if (ki==1 and kj>1): - dPdx=(Pdim[ki,kj]-Pdim[ki,kj-1])/dx - dPdz=Pdim[ki,kj]/(0.5*dz) - - - if (ki>1 and kj==1): - dPdx=Pdim[ki,kj]/(0.5*dx) - dPdz=(Pdim[ki,kj]-Pdim[ki-1,kj])/dz - - - if (ki>1 and kj>1): - dPdx=(Pdim[ki,kj]-Pdim[ki,kj-1])/dx - dPdz=(Pdim[ki,kj]-Pdim[ki-1,kj])/dz - + if ki == 1 and kj == 1: + dPdx = Pdim[ki, kj] / (0.5 * dx) + dPdz = Pdim[ki, kj] / (0.5 * dz) + + if ki == 1 and kj > 1: + dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx + dPdz = Pdim[ki, kj] / (0.5 * dz) + + if ki > 1 and kj == 1: + dPdx = Pdim[ki, kj] / (0.5 * dx) + dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz + + if ki > 1 and kj > 1: + dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx + dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz + # Dimensional film thickness in Meters - h=Rs-R-(np.sin(jj)*(yr+alpha*(Rs+esp))+np.cos(jj)*(xr+Rs-R-Cr)) - - auxFF0 = zeros[1,netha.size] - auxFF1 = zeros[1,netha.size] - - for contk in range(((N1+0.5*dN)*h), (dN*h), ((N2-(0.5*dN))*h)): - auxFF0[nn+1]=1/mi[ki,kj,nN+1-nn] - auxFF1[nn+1]=contk/mi[ki,kj,nN+1-nn] - nn=nn+1 - nn=0 - - auxFF0[0]=auxFF0[1] - auxFF0[nN+2]=auxFF0[nN+1] - - auxFF1[0]=0 - auxFF1[nN+2]=(N2*h)/mi[ki,kj,1] - - ydim1=h*netha - FF0=0.5*np.sum((ydim[1:]-ydim1[0:-1])*(auxFF0[1:]+auxFF0[0:-1])) - FF1=0.5*np.sum((ydim1[1:]-ydim1[0:-1])*(auxFF1[1:]+auxFF1[0:-1])) - - auxG0 = np.zeros[1,length(N1, dN, ky)] - auxG1 = np.zeros[1,length(N1, dN, ky)] - ydim2 = np.zeros[1,length(N1, dN, ky)] - - for contk in range (((N1+0.5*dN)*h), (dN*h), (ky*h)): - auxG0[nn+1]=1/mi[ki, kj, nN+1-nn] - auxG1[nn+1]=contk/mi[ki, kj, nN+1-nn] - ydim2[nn+1]=contk - nn=nn+1 - nn=0 - - auxG0[0]=auxG0[1] - auxG1[0]=0 - ydim2[0]=N1*h - - G0=0.5*np.sum[(ydim2[1:]-ydim2[0:-1])*(auxG0[1:]+auxG0[0:-1])] - G1=0.5*np.sum[(ydim2[1:]-ydim2[0:-1])*(auxG1[1:]+auxG1[0:-1])] - - vu[ki,kj,kk]=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0 - vw[ki,kj,kk]=dPdz*G1-(FF1/FF0*dPdz)*G0 - - kj=kj+1 - - - kj=0 - ki=ki+1 - - - ki=0 - kk=kk+1 - + h = ( + Rs + - R + - ( + np.sin(jj) * (yr + alpha * (Rs + esp)) + + np.cos(jj) * (xr + Rs - R - Cr) + ) + ) + + auxFF0 = np.zeros((1, netha.size)) + auxFF1 = np.zeros((1, netha.size)) + + for contk in range( + ((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h) + ): + auxFF0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] + auxFF1[nn + 1] = contk / mi[ki, kj, nN + 1 - nn] + nn = nn + 1 + nn = 0 + + auxFF0[0] = auxFF0[1] + auxFF0[nN + 2] = auxFF0[nN + 1] + + auxFF1[0] = 0 + auxFF1[nN + 2] = (N2 * h) / mi[ki, kj, 1] + + ydim1 = h * netha + FF0 = 0.5 * np.sum( + (ydim[1:] - ydim1[0:-1]) * (auxFF0[1:] + auxFF0[0:-1]) + ) + FF1 = 0.5 * np.sum( + (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) + ) + + auxG0 = np.zeros[1, length(N1, dN, ky)] + auxG1 = np.zeros[1, length(N1, dN, ky)] + ydim2 = np.zeros[1, length(N1, dN, ky)] + + for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + auxG0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] + auxG1[nn + 1] = contk / mi[ki, kj, nN + 1 - nn] + ydim2[nn + 1] = contk + nn = nn + 1 + nn = 0 + + auxG0[0] = auxG0[1] + auxG1[0] = 0 + ydim2[0] = N1 * h + + G0 = ( + 0.5 + * np.sum[(ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1])] + ) + G1 = ( + 0.5 + * np.sum[(ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1])] + ) + + vu[ki, kj, kk] = dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 + vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 + + kj = kj + 1 + + kj = 0 + ki = ki + 1 + + ki = 0 + kk = kk + 1 # Radial speed calculation start ---------------------------------------------------- - nn=0 - ki=0 - kj=0 - kk=0 - + nn = 0 + ki = 0 + kj = 0 + kk = 0 # Mesh loop in Z direction ==================================================== - for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): + for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): # Mesh loop in THETA direction ==================================================== - for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): - - hpt=-(np.cos[jj]*xrpt+np.sin[jj]*yrpt+np.sin[jj]*(Rs+esp)*alphapt) - - if (ki==1 and kj==1): - for contk in range(N1+0.5*dN, dN, N2-0.5*dN): - dudx[0,nn]=0 - dwdz[0,nn]=0 - nn=nn+1 - nn=0 - - - - if (ki==1 and kj>1): - for contk in range(N1+0.5*dN, dN, N2-0.5*dN): - dudx[0,nn+1]=(vu[ki,kj,nn]-vu[ki,kj-1,nn])/dx - dwdz[0,nn+1]=0 - nn=nn+1 - nn=0 - - - if (ki>1 and kj==1): - for contk in range(N1+0.5*dN, dN, N2-0.5*dN): - dudx[0,nn+1]=0 - dwdz[0,nn+1]=(vw[ki,kj,nn]-vw[ki-1,kj,nn])/dz - nn=nn+1 - nn=0 - - - if (ki>1 and ki1 and kj 1: + for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[0, nn + 1] = 0 + nn = nn + 1 + nn = 0 + + if ki > 1 and kj == 1: + for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + dudx[0, nn + 1] = 0 + dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + nn = nn + 1 + nn = 0 + + if ki > 1 and ki < nN and kj > 1 and kj < nX: + for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + nn = nn + 1 + nn = 0 + + dudx[0, 0] = dudx[0, 1] + dwdz[0, 0] = dwdz[0, 1] + dudx[0, nN + 2] = dudx[0, nN + 1] + dwdz[0, nN + 2] = dwdz[0, nN + 1] + + auxD = dudx + dwdz + intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) + vv[ki, kj,] = ( + -intv + hpt + ) + kj = kj + 1 + + kj = 0 + ki = ki + 1 + + ki = 1 + ki = nN for ii in range(1, nN): for jj in range(1, ntheta): - Vu[ii,jj]= mean(vu[:,jj,ki]) - Vv[ii,jj]= mean(vv[:,jj,ki]) - Vw[ii,jj]= mean(vw[:,jj,ki]) - - ki=ki-1 - + Vu[ii, jj] = mean(vu[:, jj, ki]) + Vv[ii, jj] = mean(vv[:, jj, ki]) + Vw[ii, jj] = mean(vw[:, jj, ki]) + + ki = ki - 1 + # Radial velociti calculation ending ------------------------------ - ksi1=0 - ksi2=1 + ksi1 = 0 + ksi2 = 1 + + ki = 0 + kj = 0 + dksi = dX - ki=0 - kj=0 - dksi=dX - for ii in range(1, nZ): for jj in range(1, nN): - Mi[jj,ii]=mi[0,ii,jj] - - - nk=nN*ntheta - Mat_coef=np.zeros[nk,nk] - b=np.zeros[nk,1] - k=0 - - for ii in range(N1+0.5*dN, dN, N2-0.5*dN): - - for jj in range(ksi1+0.5*dksi, dksi, ksi2-0.5*dksi): - - theta=(-0.5+jj)*betha_s - HP=Rs-R-(np.sin[theta]*(yr+alpha*(Rs+esp))+np.cos[theta]*(xr+Rs-R-Cr)) - He=Rs-R-(np.sin[theta+0.5*dtheta]*(yr+alpha*(Rs+esp))+np.cos[theta+0.5*dtheta]*(xr+Rs-R-Cr)) - Hw=Rs-R-(np.sin[theta-0.5*dtheta]*(yr+alpha*(Rs+esp))+np.cos[theta-0.5*dtheta]*(xr+Rs-R-Cr)) - Hn=HP - Hs=Hn - Hnw=Hw - Hsw=Hnw - - yh[kj]=HP - xh[kj]=theta - - JP=1/(betha_s*Rs*HP) - Je=1/(betha_s*Rs*He) - Jw=1/(betha_s*Rs*Hw) - Jn=1/(betha_s*Rs*Hn) - Js=1/(betha_s*Rs*Hs) - - if (ki==1 and kj==1): - - uP=Vu[ki,kj] - uE=Vu[ki,kj+1] - uW=Vu[ki,kj] - uN=Vu[ki,kj] - uS=Vu[ki+1,kj] - - vP=Vv[ki,kj] - vE=Vv[ki,kj+1] - vW=Vv[ki,kj] - vN=Vv[ki,kj] - vS=Vv[ki+1,kj] - - wP=Vw[ki,kj] - wE=Vw[ki,kj+1] - wW=Vw[ki,kj] - wN=Vw[ki,kj] - wS=Vw[ki+1,kj] - - - if (ki==1 and kj>1 and kj1 and ki1 and ki1 and kj1 and ki1 and kj 1 and kj < nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki, kj] + uS = Vu[ki + 1, kj] + + if ki > 1 and ki < nN and kj == 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + if ki == nN and kj == 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki == 1 and kj == nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki, kj] + uS = Vu[ki + 1, kj] + + if ki > 1 and ki < nN and kj == nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + if ki == nN and kj == nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki == nN and kj > 1 and kj < nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki > 1 and ki < nN and kj > 1 and kj < nX: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + vP = Vv[ki, kj] + vE = Vv[ki, kj + 1] + vW = Vv[ki, kj - 1] + vN = Vv[ki - 1, kj] + vS = Vv[ki + 1, kj] + + wP = Vw[ki, kj] + wE = Vw[ki, kj + 1] + wW = Vw[ki, kj - 1] + wN = Vw[ki - 1, kj] + wS = Vw[ki + 1, kj] + + ue = 0.5 * [uP + uE] + uw = 0.5 * [uP + uW] + un = 0.5 * [uP + uN] + us = 0.5 * [uP + uS] + + ve = 0.5 * [vP + vE] + vw = 0.5 * [vP + vW] + vn = 0.5 * [vP + vN] + vs = 0.5 * [vP + vS] + + we = 0.5 * [wP + wE] + ww = 0.5 * [wP + wW] + wn = 0.5 * [wP + wN] + ws = 0.5 * [wP + wS] + + UP = hP * uP + Ue = He * ue + Uw = Hw * uw + + np = 1 - ii + ne = np + nw = np + nn = np + dN + ns = np - dN + + dhdksi_p = -betha_s * ( + np.cos[theta] * (yr + alpha * (Rs + esp)) + - np.sin[theta] * (xr + Rs - R - Cr) + ) + dhdksi_e = -betha_s * ( + np.cos[theta + 0.5 * dtheta] * (yr + alpha * (Rs + esp)) + - np.sin[theta + 0.5 * dtheta] * (xr + Rs - R - Cr) + ) + dhdksi_w = -betha_s * ( + np.cos[theta - 0.5 * dtheta] * (yr + alpha * (Rs + esp)) + - np.sin[theta - 0.5 * dtheta] * (xr + Rs - R - Cr) + ) + dhdksi_n = dhdksi_p + dhdksi_s = dhdksi_n + + VP = betha_s * Rs * vP - np * dhdksi_p * uP + Vn = betha_s * Rs * vn - nn * dhdksi_n * un + Vs = betha_s * Rs * vs - ns * dhdksi_s * us + + alpha11P = HP ** 2 + alpha11e = He ** 2 + alpha11w = Hw ** 2 + + alpha12P = -np * HP * dhdksi_p + alpha12e = -ne * He * dhdksi_e + alpha12w = -nw * Hw * dhdksi_w + + alpha21P = alpha12P + alpha21n = -nn * Hn * dhdksi_n + alpha21s = -ns * Hs * dhdksi_s + + alpha22P = (betha_s * Rs) ** 2 + (np * dhdksi_p) ** 2 + alpha22n = (betha_s * Rs) ** 2 + (nn * dhdksi_n) ** 2 + alpha22s = (betha_s * Rs) ** 2 + (ns * dhdksi_s) ** 2 + + Me = rho * Ue * dN + Mw = rho * Uw * dN + Mn = rho * Vn * dksi + Ms = rho * Vs * dksi + + D11 = kt / Cp * JP * alpha11P * dN + D11e = kt / Cp * Je * alpha11e * dN + D11w = kt / Cp * Jw * alpha11w * dN + + D12 = kt / Cp * JP * alpha12P * dN + D12e = kt / Cp * Je * alpha12e * dN + D12w = kt / Cp * Jw * alpha12w * dN + + D21 = kt / Cp * JP * alpha21P * dksi + D21n = kt / Cp * Jn * alpha21n * dksi + D21s = kt / Cp * Js * alpha21s * dksi + + D22 = kt / Cp * JP * alpha22P * dksi + D22n = kt / Cp * Jn * alpha22n * dksi + D22s = kt / Cp * Js * alpha22s * dksi + # Interpolation coefficients - - Pee=rho*uE*Cp*dtheta*Rs/kt # Peclet's number - Pew=rho*uW*Cp*dtheta*Rs/kt - - Pen=rho*uN*Cp*dtheta*Rs/kt - Pes=rho*uS*Cp*dtheta*Rs/kt - - a_pe=Pee**2/(10+2*Pee**2) - b_pe=(1+0.005*Pee**2)/(1+0.05*Pee**2) - - a_pw=Pew**2/(10+2*Pew**2) - b_pw=(1+0.005*Pew**2)/(1+0.05*Pew**2) - - a_sw=Pes**2/(10+2*Pes**2) - b_sw=(1+0.005*Pes**2)/(1+0.05*Pes**2) - - a_nw=Pen**2/(10+2*Pen**2) - b_nw=(1+0.005*Pen**2)/(1+0.05*Pen**2) - - a_pn=0 # Central differences - b_pn=1 - - a_ps=0 - b_ps=1 - - Ae=(Me*(0.5-a_pe)-D11e/dksi*b_pe-(D21n-D21s)/(4*dksi)) - Aw=(-Mw*(0.5+a_pw)-D11w/dksi*b_pw+(D21n-D21s)/(4*dksi)) - An=(Mn*(0.5-a_pn)-D22n/dN*b_pn-(D12e-D12w)/(4*dN)) - As=(-Ms*(0.5+a_ps)-D22s/dN*b_ps-(D12w-D12e)/(4*dN)) - Ane=-D12e/(4*dN)-D21n/(4*dksi) - Ase=D12e/(4*dN)+D21s/(4*dksi) - Anw=D12w/(4*dN)+D21n/(4*dksi) - Asw=-D12w/(4*dN)-D21s/(4*dksi) - Ap=-(Ae+Aw+An+As+Ane+Ase+Anw+Asw) - - up_a=uP/(R*war) - uw_a=uW/(R*war) - ue_a=uE/(R*war) - us_a=uS/(R*war) - un_a=uN/(R*war) - - vp_a=vP/(R*war) - vw_a=vW/(R*war) - ve_a=vE/(R*war) - vs_a=vS/(R*war) - vn_a=vN/(R*war) - - wp_a=wP/(R*war) - ww_a=wW/(R*war) - we_a=wE/(R*war) - ws_a=wS/(R*war) - wn_a=wN/(R*war) - - - fdiss=2*((Cr*hP*(up_a-uw_a)/dksi-np*Cr*dhdksi_p*(up_a-us_a)/dN)**2+(betha_s*Rs*(vn_a-vp_a)/dN)**2+(betha_s*Rs*(up_a-us_a)/dN+Cr*hP*(vp_a-vw_a)/dksi-np*Cr*dhdksi_p*(vp_a-vs_a)/dksi)**2+(Cr*hP*(wp_a-ww_a)/dksi-np*Cr*dhdksi_p*(wp_a-ws_a)/dN)**2+(betha_s*Rs*(wp_a-ws_a)/dksi)**2) - - + + Pee = rho * uE * Cp * dtheta * Rs / kt # Peclet's number + Pew = rho * uW * Cp * dtheta * Rs / kt + + Pen = rho * uN * Cp * dtheta * Rs / kt + Pes = rho * uS * Cp * dtheta * Rs / kt + + a_pe = Pee ** 2 / (10 + 2 * Pee ** 2) + b_pe = (1 + 0.005 * Pee ** 2) / (1 + 0.05 * Pee ** 2) + + a_pw = Pew ** 2 / (10 + 2 * Pew ** 2) + b_pw = (1 + 0.005 * Pew ** 2) / (1 + 0.05 * Pew ** 2) + + a_sw = Pes ** 2 / (10 + 2 * Pes ** 2) + b_sw = (1 + 0.005 * Pes ** 2) / (1 + 0.05 * Pes ** 2) + + a_nw = Pen ** 2 / (10 + 2 * Pen ** 2) + b_nw = (1 + 0.005 * Pen ** 2) / (1 + 0.05 * Pen ** 2) + + a_pn = 0 # Central differences + b_pn = 1 + + a_ps = 0 + b_ps = 1 + + Ae = Me * (0.5 - a_pe) - D11e / dksi * b_pe - (D21n - D21s) / (4 * dksi) + Aw = ( + -Mw * (0.5 + a_pw) - D11w / dksi * b_pw + (D21n - D21s) / (4 * dksi) + ) + An = Mn * (0.5 - a_pn) - D22n / dN * b_pn - (D12e - D12w) / (4 * dN) + As = -Ms * (0.5 + a_ps) - D22s / dN * b_ps - (D12w - D12e) / (4 * dN) + Ane = -D12e / (4 * dN) - D21n / (4 * dksi) + Ase = D12e / (4 * dN) + D21s / (4 * dksi) + Anw = D12w / (4 * dN) + D21n / (4 * dksi) + Asw = -D12w / (4 * dN) - D21s / (4 * dksi) + Ap = -(Ae + Aw + An + As + Ane + Ase + Anw + Asw) + + up_a = uP / (R * war) + uw_a = uW / (R * war) + ue_a = uE / (R * war) + us_a = uS / (R * war) + un_a = uN / (R * war) + + vp_a = vP / (R * war) + vw_a = vW / (R * war) + ve_a = vE / (R * war) + vs_a = vS / (R * war) + vn_a = vN / (R * war) + + wp_a = wP / (R * war) + ww_a = wW / (R * war) + we_a = wE / (R * war) + ws_a = wS / (R * war) + wn_a = wN / (R * war) + + fdiss = 2 * ( + ( + Cr * hP * (up_a - uw_a) / dksi + - np * Cr * dhdksi_p * (up_a - us_a) / dN + ) + ** 2 + + (betha_s * Rs * (vn_a - vp_a) / dN) ** 2 + + ( + betha_s * Rs * (up_a - us_a) / dN + + Cr * hP * (vp_a - vw_a) / dksi + - np * Cr * dhdksi_p * (vp_a - vs_a) / dksi + ) + ** 2 + + ( + Cr * hP * (wp_a - ww_a) / dksi + - np * Cr * dhdksi_p * (wp_a - ws_a) / dN + ) + ** 2 + + (betha_s * Rs * (wp_a - ws_a) / dksi) ** 2 + ) + # Source term ---------------- - Bp=JP*(war*R)**2*Mi(ki,kj)/Cp*dN*dksi*fdiss - + Bp = JP * (war * R) ** 2 * Mi(ki, kj) / Cp * dN * dksi * fdiss + # Vectorizing - k=k+1 - - b[k,0]=Bp - - if (ki==1 and kj==1): - Mat_coef[k,k]=Ap+An-Aw - Mat_coef[k,k+1]=Ae+Ane - Mat_coef[k,k+ntheta]=As-Asw - Mat_coef[k,k+ntheta+1]=Ase - b[k,0]=b[k,0]-2*(Aw*Tmist[ki+1]+Asw*Tmist[ki+2])-Anw*(Tmist[ki]) - - if (ki==1 and kj>1 and kj1 and ki1 and ki1 and kj1 and ki1 and kj 1 and kj < nX: + Mat_coef[k, k] = Ap + An + Mat_coef[k, k + 1] = Ae + Ane + Mat_coef[k, k - 1] = Aw + Anw + Mat_coef[k, k + ntheta] = As + Mat_coef[k, k + ntheta + 1] = Ase + Mat_coef[k, k + ntheta - 1] = Asw + + if ki == 1 and kj == nX: + Mat_coef[k, k] = Ap + An + Ane + Ae + Mat_coef[k, k - 1] = Aw + Anw + Mat_coef[k, k + ntheta] = As + Ase + Mat_coef[k, k + ntheta - 1] = Asw + + if kj == 1 and ki > 1 and ki < nN: + Mat_coef[k, k] = Ap - Aw + Mat_coef[k, k + 1] = Ae + Mat_coef[k, k + ntheta] = As - Asw + Mat_coef[k, k - ntheta] = An - Anw + Mat_coef[k, k + ntheta + 1] = Ase + Mat_coef[k, k - ntheta + 1] = Ane + b[k, 0] = ( + b[k, 0] + - 2 * Tmist[ki - 1] * Anw + - 2 * Tmist[ki + 1] * Aw + - 2 * Tmist[ki + 2] * Asw + ) + + if ki > 1 and ki < nN and kj > 1 and kj < nX: + Mat_coef[k, k] = Ap + Mat_coef[k, k + 1] = Ae + Mat_coef[k, k - 1] = Aw + Mat_coef[k, k + ntheta] = As + Mat_coef[k, k - ntheta] = An + Mat_coef[k, k + ntheta + 1] = Ase + Mat_coef[k, k + ntheta - 1] = Asw + Mat_coef[k, k - ntheta + 1] = Ane + Mat_coef[k, k - ntheta - 1] = Anw + + if kj == nX and ki > 1 and ki < nN: + Mat_coef[k, k] = Ap + Ae + Mat_coef[k, k - 1] = Aw + Mat_coef[k, k + ntheta] = As + Ase + Mat_coef[k, k - ntheta] = An + Ane + Mat_coef[k, k + ntheta - 1] = Asw + Mat_coef[k, k - ntheta - 1] = Anw + + if kj == 1 and ki == nN: + Mat_coef[k, k] = Ap + As - Aw + Mat_coef[k, k + 1] = Ae + Ase + Mat_coef[k, k - ntheta] = An - Anw + Mat_coef[k, k - ntheta + 1] = Ane + b[k, 0] = ( + b[k, 0] + - 2 * Tmist[ki + 1] * Aw + - 2 * Tmist[ki] * Anw + - Tmist[ki + 2] * Asw + ) + + if ki == nN and kj > 1 and kj < nX: + Mat_coef[k, k] = Ap + As + Mat_coef[k, k + 1] = Ae + Ase + Mat_coef[k, k - 1] = Aw + Asw + Mat_coef[k, k - ntheta] = An + Mat_coef[k, k - ntheta + 1] = Ane + Mat_coef[k, k - ntheta - 1] = Anw + + if ki == nN and kj == nX: + Mat_coef[k, k] = Ap + As + Ae + Ase + Mat_coef[k, k - 1] = Aw + Asw + Mat_coef[k, k - ntheta] = An + Ane + Mat_coef[k, k - ntheta - 1] = Anw + + kj = kj + 1 + + kj = 0 + ki = ki + 1 + + ki = 0 + nn = 0 + t = np.linalg.solve(Mat_coef, b) # calculo da temperatura vetorizada + # Temperature matrix ---------------------- - cont=0 - + cont = 0 + for i in range(0, nN): - for j in range (0, nX): - T[i,j]=t[cont] - cont=cont+1 - - + for j in range(0, nX): + T[i, j] = t[cont] + cont = cont + 1 + # Viscosity equation ======================================================================== # VG68 - Polynomial adjustment using predetermined values - # + # # Via Oil_Regression_Analyses.m and propvalue.m the equation coefficients - # are obtained for the regression on the viscosity determination as a + # are obtained for the regression on the viscosity determination as a # function of the temperature. - + # 3D temperature field ----------------------------------------------------- - TT=np.zeros(nZ,nX,nN) + TT = np.zeros(nZ, nX, nN) for k in range(0, nN): for j in range(0, X): - TT[:,j,k]=T[k,j] - + TT[:, j, k] = T[k, j] + # Regression equation coefficients - a=5.506e-09 - b=5012 - c=0.1248 - minovo=a*np.exp(b/(TT+273.15+c)) - k=0 - + a = 5.506e-09 + b = 5012 + c = 0.1248 + minovo = a * np.exp(b / (TT + 273.15 + c)) + k = 0 + # Full temperature matrix, including borders for i in range(1, nN): for j in range(1, ntheta): - T_novo[i,j]=T[i-1,j-1] - - - T_novo[0,]=T_novo[1,] - T_novo[nN+1,]=T_novo[nN,] - T_novo[1:nN,0]=Tmist[1,nN] - T_novo[:,nX+1]=T_novo[:,nX] + T_novo[i, j] = T[i - 1, j - 1] + T_novo[0,] = T_novo[ + 1, + ] + T_novo[nN + 1,] = T_novo[ + nN, + ] + T_novo[1:nN, 0] = Tmist[1, nN] + T_novo[:, nX + 1] = T_novo[:, nX] # WHILE ENDS HERE ========================================================== - T1[:,:,n_p]=T_novo - P1[:,:,n_p]=PPdim - - yh=Rs-R-(np.sin[Xtheta]*(yr+alpha*(Rs+esp))+np.cos[Xtheta]*(xr+Rs-R-Cr)) - for jj in range(0, nX+1): - YH[:,jj,n_p] = fliplr(linspace(0,yh(jj),nN+2)) - - + T1[:, :, n_p] = T_novo + P1[:, :, n_p] = PPdim + + yh = ( + Rs + - R + - ( + np.sin[Xtheta] * (yr + alpha * (Rs + esp)) + + np.cos[Xtheta] * (xr + Rs - R - Cr) + ) + ) + for jj in range(0, nX + 1): + YH[:, jj, n_p] = fliplr(linspace(0, yh(jj), nN + 2)) + # Integration of pressure field - HydroForces - auxF=np.array([np.cos[Xtheta[0:-1]], - np.sin[Xtheta[0:-1]]]) - dA=dx*dz - - auxP=P1[1:-1, 1:-1, n_p]*dA - - vector_auxF_x=auxF[0,] - vector_auxF_y=auxF[1,] - - auxFx=auxP*vector_auxF_x.T - auxFy=auxP*vector_auxF_y.T - - fxj[n_p]=-np.sum(auxFx) - fyj=-np.sum(auxFy) - - My[n_p]=fyj*(Rs+esp) - - if (fxj(n_p)>=-1): - My[n_p]=10e6 - - + auxF = np.array([np.cos[Xtheta[0:-1]], np.sin[Xtheta[0:-1]]]) + dA = dx * dz + + auxP = P1[1:-1, 1:-1, n_p] * dA + + vector_auxF_x = auxF[ + 0, + ] + vector_auxF_y = auxF[ + 1, + ] + + auxFx = auxP * vector_auxF_x.T + auxFy = auxP * vector_auxF_y.T + + fxj[n_p] = -np.sum(auxFx) + fyj = -np.sum(auxFy) + + My[n_p] = fyj * (Rs + esp) + + if fxj(n_p) >= -1: + My[n_p] = 10e6 + + # END PADS FOR LOOP =============================================================== -score[0]=My[0] -score[1]=My[1] -score[2]=My[2] -score[3]=My[3] -score[4]=My[4] -score[5]=My[5] +score[0] = My[0] +score[1] = My[1] +score[2] = My[2] +score[3] = My[3] +score[4] = My[4] +score[5] = My[5] # hydrodynamic forces -Fhx=fxj[0]*np.cos[psi_pad[0]+sigma[0]]+fxj[1]*np.cos[psi_pad[1]+sigma[1]]+fxj[2]*np.cos[psi_pad[2]+sigma[2]]+fxj[3]*np.cos[psi_pad[3]+sigma[3]]+fxj[4]*np.cos[psi_pad[4]+sigma[4]]+fxj[5]*np.cos[psi_pad[5]+sigma[5]] -Fhy=fxj[0]*np.sin[psi_pad[0]+sigma[0]]+fxj[1]*np.sin[psi_pad[1]+sigma[1]]+fxj[2]*np.sin[psi_pad[2]+sigma[2]]+fxj[3]*np.sin[psi_pad[3]+sigma[3]]+fxj[4]*np.sin[psi_pad[4]+sigma[4]]+fxj[5]*np.sin[psi_pad[5]+sigma[5]] +Fhx = ( + fxj[0] * np.cos[psi_pad[0] + sigma[0]] + + fxj[1] * np.cos[psi_pad[1] + sigma[1]] + + fxj[2] * np.cos[psi_pad[2] + sigma[2]] + + fxj[3] * np.cos[psi_pad[3] + sigma[3]] + + fxj[4] * np.cos[psi_pad[4] + sigma[4]] + + fxj[5] * np.cos[psi_pad[5] + sigma[5]] +) +Fhy = ( + fxj[0] * np.sin[psi_pad[0] + sigma[0]] + + fxj[1] * np.sin[psi_pad[1] + sigma[1]] + + fxj[2] * np.sin[psi_pad[2] + sigma[2]] + + fxj[3] * np.sin[psi_pad[3] + sigma[3]] + + fxj[4] * np.sin[psi_pad[4] + sigma[4]] + + fxj[5] * np.sin[psi_pad[5] + sigma[5]] +) # Maximum pressure, maximum temperature and minimum thickness -Pmax=np.max[np.max[np.max[P1]]] -Tmax=np.max[np.max[np.max[T1]]] -hmin=np.min[np.min[hhh]] - +Pmax = np.max[np.max[np.max[P1]]] +Tmax = np.max[np.max[np.max[T1]]] +hmin = np.min[np.min[hhh]] From 53642da04d1a9905c7209eed6eae00392542d4b1 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 3 Dec 2020 11:06:06 -0300 Subject: [PATCH 044/138] Extensive debugging 3 Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 24 ++++++++++++------------ 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index a5787b670..dcb6997dc 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -312,19 +312,19 @@ for jj in Xtheta: if kj == 1: - vector_mi[0, :] = mi[ki, kj, :] - vector_mi[1, :] = mi[ki, kj + 1, :] - vector_mi[2, :] = mi[ki, kj, :] - - if kj == ntheta: - vector_mi[0, :] = mi[ki, kj, :] + vector_mi[0, :] = mi[ki, kj - 1, :] vector_mi[1, :] = mi[ki, kj, :] vector_mi[2, :] = mi[ki, kj - 1, :] + if kj == ntheta: + vector_mi[0, :] = mi[ki, kj - 1, :] + vector_mi[1, :] = mi[ki, kj - 1, :] + vector_mi[2, :] = mi[ki, kj - 2, :] + if kj > 1 and kj < ntheta: - vector_mi[0, :] = mi[ki, kj, :] - vector_mi[1, :] = mi[ki, kj + 1, :] - vector_mi[2, :] = mi[ki, kj - 1, :] + vector_mi[0, :] = mi[ki, kj - 1, :] + vector_mi[1, :] = mi[ki, kj, :] + vector_mi[2, :] = mi[ki, kj - 2, :] # Loop in N # for kk in range(N1+0.5*dN, dN, N2-0.5*dN): @@ -476,7 +476,6 @@ he * (1 - FF1e / FF0e) - hw * (1 - FF1w / FF0w) ) + hpt * dX * dZ - k = k + 1 b[k] = B hhh[k, n_p] = hP * Cr @@ -536,9 +535,10 @@ and len(np.where(drop_pressure_Ele_ntetha == kj + 1)[0]) == 0 ): K_null[0, k] = k - Kij_null[ki, kj] = 1 + Kij_null[ki, kj - 2] = 1 kj = kj + 1 + k = k + 1 # loop end kj = 0 @@ -748,7 +748,7 @@ kj = 0 ki = ki + 1 - ki = 1 + ki = 0 ki = nN for ii in range(1, nN): for jj in range(1, ntheta): From dc25acb78a1f3c94cf9487a7fdb4869b18483f4a Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 11:10:12 -0300 Subject: [PATCH 045/138] Debugging loop counter error --- ross/fluid_flow/tilting_pad.py | 7 +++++-- 1 file changed, 5 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index dcb6997dc..897f96de7 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -191,12 +191,14 @@ theta1 = -(rp_pad) * betha_s # initial coordinate theta [rad] theta2 = (1 - rp_pad) * betha_s # final coordinate theta [rad] +# theta1 = -(rp_pad-1) * betha_s # initial coordinate theta [rad] +# theta2 = (rp_pad) * betha_s # final coordinate theta [rad] dtheta = betha_s / (ntheta) # differential theta [rad] Xtheta = np.zeros([ntheta + 2]) Xtheta[0] = theta1 Xtheta[ntheta + 1] = theta2 -Xtheta[1 : ntheta + 1] = np.arange( - theta1 + 0.5 * dtheta, theta2, dtheta +Xtheta[1:ntheta] = np.arange( + theta1 + 0.5 * dtheta, theta2 - 0.5 * dtheta, dtheta ) # vector theta [rad] dX = 1 / nX # differential x dimensionless @@ -506,6 +508,7 @@ Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS + print(k) Mat_coef[k, k + 1] = CE if kj == nX and ki > 1 and ki < nZ: From 245270b34c4dd36aeb5f94ea5dd959d3a2d76afa Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 11:43:08 -0300 Subject: [PATCH 046/138] Pressure field declaration and sizing fix --- ross/fluid_flow/tilting_pad.py | 15 ++++++++++----- 1 file changed, 10 insertions(+), 5 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 897f96de7..697c12300 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -236,6 +236,10 @@ Vv = np.zeros((nN, ntheta)) Vw = np.zeros((nN, ntheta)) +# Pressure field +P = np.zeros((ntheta, ntheta)) + + YH = np.zeros((nN + 2, nX + 2, npad)) XH = np.zeros((nN + 2, nX + 2)) @@ -550,7 +554,7 @@ # Pressure field solution ============================================================== - cc = find(K_null == 0) + cc = (K_null == 0).nonzero() # cc = find(K_null == 0) p = np.linalg.solve(Mat_coef[cc, cc], b[cc, cc]) # verificar matriz b cont = 0 @@ -650,15 +654,16 @@ ydim1 = h * netha FF0 = 0.5 * np.sum( - (ydim[1:] - ydim1[0:-1]) * (auxFF0[1:] + auxFF0[0:-1]) + (ydim1[1:] - ydim1[0:-1]) * (auxFF0[1:] + auxFF0[0:-1]) ) FF1 = 0.5 * np.sum( (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - auxG0 = np.zeros[1, length(N1, dN, ky)] - auxG1 = np.zeros[1, length(N1, dN, ky)] - ydim2 = np.zeros[1, length(N1, dN, ky)] + aux_var_1 = np.arange(N1, ky + 1, dN) # N1:dN:ky + auxG0 = np.zeros[1, aux_var_1.size] + auxG1 = np.zeros[1, aux_var_1.size] + ydim2 = np.zeros[1, aux_var_1.size] for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): auxG0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] From de9f070d52eb32cfa601bf5577cdfb239bfff732 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 11:48:29 -0300 Subject: [PATCH 047/138] Field derivatives fix --- ross/fluid_flow/tilting_pad.py | 3 +++ 1 file changed, 3 insertions(+) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 697c12300..90e6e3f37 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -239,6 +239,9 @@ # Pressure field P = np.zeros((ntheta, ntheta)) +# Field derivatives +dudx = np.zeros((1, ntheta)) +dwdz = np.zeros((1, ntheta)) YH = np.zeros((nN + 2, nX + 2, npad)) From c7103b0e482f8b5ee5aa5d88071120c3dca56888 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 11:51:10 -0300 Subject: [PATCH 048/138] Mean operations fix --- ross/fluid_flow/tilting_pad.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 90e6e3f37..6bd54c146 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -763,9 +763,9 @@ ki = nN for ii in range(1, nN): for jj in range(1, ntheta): - Vu[ii, jj] = mean(vu[:, jj, ki]) - Vv[ii, jj] = mean(vv[:, jj, ki]) - Vw[ii, jj] = mean(vw[:, jj, ki]) + Vu[ii, jj] = vu[:, jj, ki].mean + Vv[ii, jj] = vv[:, jj, ki].mean + Vw[ii, jj] = vw[:, jj, ki].mean ki = ki - 1 From 73bfabd00a3533a53196c9bb5cfba181490459cb Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 11:56:37 -0300 Subject: [PATCH 049/138] Temperature field and loop fix --- ross/fluid_flow/tilting_pad.py | 8 ++++++-- 1 file changed, 6 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 6bd54c146..0589ff2fe 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -239,12 +239,16 @@ # Pressure field P = np.zeros((ntheta, ntheta)) +# Temperature field +T = np.zeros((nN, ntheta)) + # Field derivatives dudx = np.zeros((1, ntheta)) dwdz = np.zeros((1, ntheta)) +# Other variables declarations +Mi = np.zeros((nZ, nN)) YH = np.zeros((nN + 2, nX + 2, npad)) - XH = np.zeros((nN + 2, nX + 2)) @@ -1194,7 +1198,7 @@ # 3D temperature field ----------------------------------------------------- TT = np.zeros(nZ, nX, nN) for k in range(0, nN): - for j in range(0, X): + for j in range(0, nX): TT[:, j, k] = T[k, j] # Regression equation coefficients From b387897f94e591d51e25db8bc58fbdb222db3395 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 13 Jan 2021 12:08:45 -0300 Subject: [PATCH 050/138] Pressure and temperature field fix --- ross/fluid_flow/tilting_pad.py | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 0589ff2fe..59a8d3716 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -238,9 +238,11 @@ # Pressure field P = np.zeros((ntheta, ntheta)) +P1 = np.zeros((ntheta, ntheta, npad)) # Temperature field T = np.zeros((nN, ntheta)) +T1 = np.zeros((nN, ntheta, npad)) # Field derivatives dudx = np.zeros((1, ntheta)) @@ -251,6 +253,8 @@ YH = np.zeros((nN + 2, nX + 2, npad)) XH = np.zeros((nN + 2, nX + 2)) +fxj = np.zeros((npad)) +My = np.zeros((npad)) for ii in range(0, nX + 2): XH[:, ii] = Xtheta[ii] @@ -1236,7 +1240,7 @@ ) ) for jj in range(0, nX + 1): - YH[:, jj, n_p] = fliplr(linspace(0, yh(jj), nN + 2)) + YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh(jj), nN + 2)) # Integration of pressure field - HydroForces auxF = np.array([np.cos[Xtheta[0:-1]], np.sin[Xtheta[0:-1]]]) From b9e5c44f4fb1e3a1adb77c965a7ceb87299f1f50 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 15:37:25 -0300 Subject: [PATCH 051/138] Indexing fix --- ross/fluid_flow/tilting_pad.py | 29 ++++++++++++++++------------- 1 file changed, 16 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 59a8d3716..d94f19716 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -223,8 +223,12 @@ # Initial Parameters --------------------------------------------------------------- +# Startup +npad = npad - 1 Tmist = T_ref * np.ones((nN + 2)) -minovo = mi_ref * np.ones((nZ, ntheta, nN)) # Initial viscosity field + +# Initial viscosity field +minovo = mi_ref * np.ones((nZ, ntheta, nN)) # Velocity field - 3D vu = np.zeros((nZ, ntheta, nN)) @@ -261,9 +265,9 @@ # Loop on the pads ========================================================================== for n_p in range(0, npad): - alpha = psi_pad[n_p - 1] + alpha = psi_pad[n_p] - # transformation of coordinates + # transformation of coordinates - inertial to pivot referential xryr = np.dot( [ [np.cos(sigma[n_p]), np.sin(sigma[n_p])], @@ -288,7 +292,6 @@ # Temperature matrix with boundary conditions ==================================== T_novo = T_ref * np.ones((nN + 2, ntheta + 2)) - Tcomp = 1.2 * T_novo # Oil temperature field loop ================================================================ @@ -305,7 +308,7 @@ auxFF2P = np.zeros((nN + 2)) auxFF2E = np.zeros((nN + 2)) auxFF2W = np.zeros((nN + 2)) - hhh = np.zeros((nk, npad)) + hhh = np.zeros((nk, npad)) # oil film thickness K_null = np.zeros((1, nk)) Kij_null = np.zeros((nZ, ntheta)) @@ -496,29 +499,29 @@ b[k] = B hhh[k, n_p] = hP * Cr - if ki == 1 and kj == 1: + if ki == 0 and kj == 0: Mat_coef[k, k] = CP - CN - CW Mat_coef[k, k + 1] = CE Mat_coef[k, k + ntheta] = CS - if ki == 1 and kj > 1 and kj < nX: + if ki == 0 and kj > 0 and kj < nX: Mat_coef[k, k] = CP - CN Mat_coef[k, k + 1] = CE Mat_coef[k, k - 1] = CW Mat_coef[k, k + ntheta] = CS - if ki == 1 and kj == nX: + if ki == 0 and kj == nX: Mat_coef[k, k] = CP - CE - CN Mat_coef[k, k - 1] = CW Mat_coef[k, k + ntheta] = CS - if kj == 1 and ki > 1 and ki < nZ: + if kj == 0 and ki > 0 and ki < nZ: Mat_coef[k, k] = CP - CW Mat_coef[k, k + 1] = CE Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS - if ki > 1 and ki < nZ and kj > 1 and kj < nX: + if ki > 0 and ki < nZ and kj > 0 and kj < nX: Mat_coef[k, k] = CP Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN @@ -526,18 +529,18 @@ print(k) Mat_coef[k, k + 1] = CE - if kj == nX and ki > 1 and ki < nZ: + if kj == nX and ki > 0 and ki < nZ: Mat_coef[k, k] = CP - CE Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS - if kj == 1 and ki == nZ: + if kj == 0 and ki == nZ: Mat_coef[k, k] = CP - CS - CW Mat_coef[k, k + 1] = CE Mat_coef[k, k - ntheta] = CN - if ki == nZ and kj > 1 and kj < nX: + if ki == nZ and kj > 0 and kj < nX: Mat_coef[k, k] = CP - CS Mat_coef[k, k + 1] = CE Mat_coef[k, k - 1] = CW From 16e4e0961f030f8fc677c039135ed93b90ccf6fc Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 16:02:07 -0300 Subject: [PATCH 052/138] FIXED - pressure loop --- ross/fluid_flow/tilting_pad.py | 55 +++++++++++++++++----------------- 1 file changed, 27 insertions(+), 28 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index d94f19716..f39495bcf 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -324,12 +324,12 @@ b = np.zeros((nk)) # Mesh loop in Z direction ==================================================== - # for ii in range((Z1+0.5*dZ), dZ, (Z2-0.5*dZ)): - for ii in XZ: + # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + for ii in range(0, nZ - 1): # Mesh loop in THETA direction ==================================================== - # for jj in range((theta1+0.5*dtheta), dtheta, (theta2-0.5*dtheta)): - for jj in Xtheta: + # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): + for jj in range(0, ntheta - 1): if kj == 1: vector_mi[0, :] = mi[ki, kj - 1, :] @@ -347,8 +347,8 @@ vector_mi[2, :] = mi[ki, kj - 2, :] # Loop in N - # for kk in range(N1+0.5*dN, dN, N2-0.5*dN): - for kk in netha: + # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for kk in range(0, nN - 1): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref @@ -408,8 +408,8 @@ FF1w = 0.5 * (FF1P + FF1W) # Loop in N - # for kk in range(N1+0.5*dN, dN, N2-0.5*dN): - for kk in netha: + # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for kk in range(0, nN - 1): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref @@ -504,49 +504,48 @@ Mat_coef[k, k + 1] = CE Mat_coef[k, k + ntheta] = CS - if ki == 0 and kj > 0 and kj < nX: + if ki == 0 and kj > 0 and kj < nX - 1: Mat_coef[k, k] = CP - CN Mat_coef[k, k + 1] = CE Mat_coef[k, k - 1] = CW Mat_coef[k, k + ntheta] = CS - if ki == 0 and kj == nX: + if ki == 0 and kj == nX - 1: Mat_coef[k, k] = CP - CE - CN Mat_coef[k, k - 1] = CW Mat_coef[k, k + ntheta] = CS - if kj == 0 and ki > 0 and ki < nZ: + if kj == 0 and ki > 0 and ki < nZ - 1: Mat_coef[k, k] = CP - CW Mat_coef[k, k + 1] = CE Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS - if ki > 0 and ki < nZ and kj > 0 and kj < nX: + if ki > 0 and ki < nZ - 1 and kj > 0 and kj < nX - 1: Mat_coef[k, k] = CP Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS - print(k) Mat_coef[k, k + 1] = CE - if kj == nX and ki > 0 and ki < nZ: + if kj == nX - 1 and ki > 0 and ki < nZ - 1: Mat_coef[k, k] = CP - CE Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN Mat_coef[k, k + ntheta] = CS - if kj == 0 and ki == nZ: + if kj == 0 and ki == nZ - 1: Mat_coef[k, k] = CP - CS - CW Mat_coef[k, k + 1] = CE Mat_coef[k, k - ntheta] = CN - if ki == nZ and kj > 0 and kj < nX: + if ki == nZ - 1 and kj > 0 and kj < nX - 1: Mat_coef[k, k] = CP - CS Mat_coef[k, k + 1] = CE Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN - if ki == nZ and kj == nX: + if ki == nZ - 1 and kj == nX - 1: Mat_coef[k, k] = CP - CE - CS Mat_coef[k, k - 1] = CW Mat_coef[k, k - ntheta] = CN @@ -574,8 +573,8 @@ cont = 0 # Matrix form of the pressure field ==================================================== - for i in range(1, nZ): # Loop in Z - for j in range(1, ntheta): # Loop in THETA + for i in range(0, nZ - 1): # Loop in Z + for j in range(0, ntheta - 1): # Loop in THETA if ( len(np.where(drop_pressure_Ele_nZ == i + 1)[0]) == 0 and len(np.where(drop_pressure_Ele_ntetha == j + 1)[0]) == 0 @@ -590,8 +589,8 @@ P[i, j] = 0 # Pressure border conditions ==================================================== - for i in range(1, nZ): # Loop in Z - for j in range(1, ntheta): # Loop in THETA + for i in range(0, nZ - 1): # Loop in Z + for j in range(0, ntheta - 1): # Loop in THETA if P[i, j] < 0: P[i, j] = 0 @@ -599,10 +598,10 @@ Pdim = P * mi_ref * war * Rs ^ 2 / Cr ^ 2 # Full pressure field with borders - PPdim = np.zeros((nZ + 2, ntheta + 2)) + PPdim = np.zeros((nZ + 1, ntheta + 1)) - for i in range(2, nZ + 1): # Loop in Z - for j in range(2, ntheta + 1): # Loop in THETA + for i in range(1, nZ): # Loop in Z + for j in range(1, ntheta): # Loop in THETA PPdim[i, j] = Pdim[i - 1, j - 1] # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% @@ -623,19 +622,19 @@ ): # Pressure gradients calculation - if ki == 1 and kj == 1: + if ki == 0 and kj == 0: dPdx = Pdim[ki, kj] / (0.5 * dx) dPdz = Pdim[ki, kj] / (0.5 * dz) - if ki == 1 and kj > 1: + if ki == 0 and kj > 0: dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx dPdz = Pdim[ki, kj] / (0.5 * dz) - if ki > 1 and kj == 1: + if ki > 0 and kj == 0: dPdx = Pdim[ki, kj] / (0.5 * dx) dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz - if ki > 1 and kj > 1: + if ki > 0 and kj > 0: dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz From c1f8893e57886ad6d70532d0d9024b9b660753f2 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 16:31:43 -0300 Subject: [PATCH 053/138] Additional loop fixes --- ross/fluid_flow/tilting_pad.py | 57 ++++++++++++++++++---------------- 1 file changed, 30 insertions(+), 27 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f39495bcf..62d2bc42b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -325,30 +325,30 @@ # Mesh loop in Z direction ==================================================== # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): - for ii in range(0, nZ - 1): + for ii in range(0, nZ): # Mesh loop in THETA direction ==================================================== # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): - for jj in range(0, ntheta - 1): + for jj in range(0, ntheta): - if kj == 1: + if kj == 0: vector_mi[0, :] = mi[ki, kj - 1, :] vector_mi[1, :] = mi[ki, kj, :] vector_mi[2, :] = mi[ki, kj - 1, :] - if kj == ntheta: + if kj == ntheta - 1: vector_mi[0, :] = mi[ki, kj - 1, :] vector_mi[1, :] = mi[ki, kj - 1, :] vector_mi[2, :] = mi[ki, kj - 2, :] - if kj > 1 and kj < ntheta: + if kj > 0 and kj < ntheta - 1: vector_mi[0, :] = mi[ki, kj - 1, :] vector_mi[1, :] = mi[ki, kj, :] vector_mi[2, :] = mi[ki, kj - 2, :] # Loop in N # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(0, nN - 1): + for kk in range(0, nN): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref @@ -383,23 +383,24 @@ auxFF1W[0] = 0 auxFF1W[nN + 1] = N2 / (vector_mi[2, nN - 1] / mi_ref) + # Numerical integration FF0P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF0P[1:-1] + auxFF0P[0:-2]) ) FF1P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF1P[1:-1] + auxFF1P[0:-2]) ) FF0E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF0E[1:-1] + auxFF0E[0:-2]) ) FF1E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF1E[1:-1] + auxFF1E[0:-2]) ) FF0W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF0W[1:-1] + auxFF0W[0:-2]) ) FF1W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF1W[1:-1] + auxFF1W[0:-2]) ) FF0e = 0.5 * (FF0P + FF0E) @@ -409,7 +410,7 @@ # Loop in N # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(0, nN - 1): + for kk in range(0, nN): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref @@ -439,13 +440,13 @@ # integration process =================================================== FF2P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF2P[1:-1] + auxFF2P[0:-2]) ) FF2E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF2E[1:-1] + auxFF2E[0:-2]) ) FF2W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) + (netha[1:-1] - netha[0:-2]) * (auxFF2W[1:-1] + auxFF2W[0:-2]) ) FF2e = 0.5 * (FF2P + FF2E) @@ -458,32 +459,34 @@ Rs - R - ( - np.sin(jj) * (yr + alpha * (Rs + esp)) - + np.cos(jj) * (xr + Rs - R - Cr) + np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) ) ) / Cr he = ( Rs - R - ( - np.sin(jj + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(jj + 0.5 * dtheta) * (xr + Rs - R - Cr) + np.sin(Xtheta[jj + 1] + 0.5 * dtheta) + * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta[jj + 1] + 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr hw = ( Rs - R - ( - np.sin(jj - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(jj - 0.5 * dtheta) * (xr + Rs - R - Cr) + np.sin(Xtheta[jj + 1] - 0.5 * dtheta) + * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta[jj + 1] - 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr hn = hP hs = hn hpt = -(1 / (Cr * war)) * ( - np.cos(jj) * xrpt - + np.sin(jj) * yrpt - + np.sin(jj) * (Rs + esp) * alphapt + np.cos(Xtheta[jj + 1]) * xrpt + + np.sin(Xtheta[jj + 1]) * yrpt + + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt ) # admensional CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX @@ -600,8 +603,8 @@ # Full pressure field with borders PPdim = np.zeros((nZ + 1, ntheta + 1)) - for i in range(1, nZ): # Loop in Z - for j in range(1, ntheta): # Loop in THETA + for i in range(0, nZ - 1): # Loop in Z + for j in range(0, ntheta - 1): # Loop in THETA PPdim[i, j] = Pdim[i - 1, j - 1] # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% From 8c07156b3fd488394e9491f80d908a22d01239b6 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 16:45:01 -0300 Subject: [PATCH 054/138] jj index fix --- ross/fluid_flow/tilting_pad.py | 28 +++++++++++++++------------- 1 file changed, 15 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 62d2bc42b..279011f27 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -459,34 +459,36 @@ Rs - R - ( - np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) + np.sin(dtheta * (0.5 + jj)) * (yr + alpha * (Rs + esp)) + + np.cos(dtheta * (0.5 + jj)) * (xr + Rs - R - Cr) ) ) / Cr he = ( Rs - R - ( - np.sin(Xtheta[jj + 1] + 0.5 * dtheta) + np.sin(dtheta * (0.5 + jj) + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1] + 0.5 * dtheta) * (xr + Rs - R - Cr) + + np.cos(dtheta * (0.5 + jj) + 0.5 * dtheta) + * (xr + Rs - R - Cr) ) ) / Cr hw = ( Rs - R - ( - np.sin(Xtheta[jj + 1] - 0.5 * dtheta) + np.sin(dtheta * (0.5 + jj) - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1] - 0.5 * dtheta) * (xr + Rs - R - Cr) + + np.cos(dtheta * (0.5 + jj) - 0.5 * dtheta) + * (xr + Rs - R - Cr) ) ) / Cr hn = hP hs = hn hpt = -(1 / (Cr * war)) * ( - np.cos(Xtheta[jj + 1]) * xrpt - + np.sin(Xtheta[jj + 1]) * yrpt - + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt + np.cos(dtheta * (0.5 + jj)) * xrpt + + np.sin(dtheta * (0.5 + jj)) * yrpt + + np.sin(dtheta * (0.5 + jj)) * (Rs + esp) * alphapt ) # admensional CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX @@ -724,9 +726,9 @@ for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): hpt = -( - np.cos[jj] * xrpt - + np.sin[jj] * yrpt - + np.sin[jj] * (Rs + esp) * alphapt + np.cos[dtheta * (0.5 + jj)] * xrpt + + np.sin[dtheta * (0.5 + jj)] * yrpt + + np.sin[dtheta * (0.5 + jj)] * (Rs + esp) * alphapt ) if ki == 1 and kj == 1: @@ -803,7 +805,7 @@ for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): - theta = (-0.5 + jj) * betha_s + theta = (-0.5 + dtheta * (0.5 + jj)) * betha_s HP = ( Rs - R From 828a4aabce38f131d321a1dc45cf407c9780b109 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 17:22:23 -0300 Subject: [PATCH 055/138] auxFF error narrowing --- ross/fluid_flow/tilting_pad.py | 43 ++++++++++++++++++++-------------- 1 file changed, 26 insertions(+), 17 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 279011f27..8cc542388 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -348,18 +348,18 @@ # Loop in N # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(0, nN): + for kk in range(1, nN): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref mi_adW = vector_mi[2, nN - nn - 1] / mi_ref auxFF0P[nn] = 1 / mi_adP - auxFF1P[nn] = kk / mi_adP + auxFF1P[nn] = (dN * (0.5 + kk)) / mi_adP auxFF0E[nn] = 1 / mi_adE - auxFF1E[nn] = kk / mi_adE + auxFF1E[nn] = (dN * (0.5 + kk)) / mi_adE auxFF0W[nn] = 1 / mi_adW - auxFF1W[nn] = kk / mi_adW + auxFF1W[nn] = (dN * (0.5 + kk)) / mi_adW nn = nn + 1 @@ -384,23 +384,26 @@ auxFF1W[nN + 1] = N2 / (vector_mi[2, nN - 1] / mi_ref) # Numerical integration + + # FF0P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0P(2:end)+auxFF0P(1:end-1))); + FF0P = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF0P[1:-1] + auxFF0P[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) ) FF1P = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF1P[1:-1] + auxFF1P[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) ) FF0E = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF0E[1:-1] + auxFF0E[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) ) FF1E = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF1E[1:-1] + auxFF1E[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) ) FF0W = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF0W[1:-1] + auxFF0W[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) ) FF1W = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF1W[1:-1] + auxFF1W[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) ) FF0e = 0.5 * (FF0P + FF0E) @@ -410,15 +413,21 @@ # Loop in N # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(0, nN): + for kk in range(1, nN): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref mi_adW = vector_mi[2, nN - nn - 1] / mi_ref - auxFF2P[nn] = (kk / mi_adP) * (kk - FF1P / FF0P) - auxFF2E[nn] = (kk / mi_adE) * (kk - FF1E / FF0E) - auxFF2W[nn] = (kk / mi_adW) * (kk - FF1W / FF0W) + auxFF2P[nn] = ((dN * (0.5 + kk)) / mi_adP) * ( + (dN * (0.5 + kk)) - FF1P / FF0P + ) + auxFF2E[nn] = ((dN * (0.5 + kk)) / mi_adE) * ( + (dN * (0.5 + kk)) - FF1E / FF0E + ) + auxFF2W[nn] = ((dN * (0.5 + kk)) / mi_adW) * ( + (dN * (0.5 + kk)) - FF1W / FF0W + ) nn = nn + 1 nn = 0 @@ -440,13 +449,13 @@ # integration process =================================================== FF2P = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF2P[1:-1] + auxFF2P[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) ) FF2E = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF2E[1:-1] + auxFF2E[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) ) FF2W = 0.5 * np.sum( - (netha[1:-1] - netha[0:-2]) * (auxFF2W[1:-1] + auxFF2W[0:-2]) + (netha[1:] - netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) ) FF2e = 0.5 * (FF2P + FF2E) From f6d15d3b5e226f7c186b8c862df7f9447c850f11 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 14 Jan 2021 17:38:38 -0300 Subject: [PATCH 056/138] auxFF additional fix --- ross/fluid_flow/tilting_pad.py | 2 -- 1 file changed, 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8cc542388..60aa3d994 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -346,8 +346,6 @@ vector_mi[1, :] = mi[ki, kj, :] vector_mi[2, :] = mi[ki, kj - 2, :] - # Loop in N - # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for kk in range(1, nN): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref From b455e32805bdd77ff3dc14daa8750a7265ccb9df Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 15 Jan 2021 13:06:42 -0300 Subject: [PATCH 057/138] MatCoef assembly fixed --- ross/fluid_flow/tilting_pad.py | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 60aa3d994..f24a246e2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -332,19 +332,19 @@ for jj in range(0, ntheta): if kj == 0: - vector_mi[0, :] = mi[ki, kj - 1, :] - vector_mi[1, :] = mi[ki, kj, :] - vector_mi[2, :] = mi[ki, kj - 1, :] + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj + 1, :] + vector_mi[2, :] = mi[ki, kj, :] if kj == ntheta - 1: - vector_mi[0, :] = mi[ki, kj - 1, :] - vector_mi[1, :] = mi[ki, kj - 1, :] - vector_mi[2, :] = mi[ki, kj - 2, :] + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj, :] + vector_mi[2, :] = mi[ki, kj - 1, :] if kj > 0 and kj < ntheta - 1: - vector_mi[0, :] = mi[ki, kj - 1, :] - vector_mi[1, :] = mi[ki, kj, :] - vector_mi[2, :] = mi[ki, kj - 2, :] + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj + 1, :] + vector_mi[2, :] = mi[ki, kj - 1, :] for kk in range(1, nN): From 40dee18d35cd7370b06a563bf51a68506ba90af2 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 15 Jan 2021 16:32:35 -0300 Subject: [PATCH 058/138] "b" vector partial fix --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f24a246e2..72cf1521f 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -346,7 +346,7 @@ vector_mi[1, :] = mi[ki, kj + 1, :] vector_mi[2, :] = mi[ki, kj - 1, :] - for kk in range(1, nN): + for kk in range(1, nN + 1): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref From fe6d7680b69ae12c0044a56ae77714b2cce68ac9 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 14:41:45 -0300 Subject: [PATCH 059/138] auxFF variables fix --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 72cf1521f..936a8a20f 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -352,12 +352,12 @@ mi_adE = vector_mi[1, nN - nn - 1] / mi_ref mi_adW = vector_mi[2, nN - nn - 1] / mi_ref - auxFF0P[nn] = 1 / mi_adP - auxFF1P[nn] = (dN * (0.5 + kk)) / mi_adP - auxFF0E[nn] = 1 / mi_adE - auxFF1E[nn] = (dN * (0.5 + kk)) / mi_adE - auxFF0W[nn] = 1 / mi_adW - auxFF1W[nn] = (dN * (0.5 + kk)) / mi_adW + auxFF0P[nn + 1] = 1 / mi_adP + auxFF1P[nn + 1] = (dN * (0.5 + kk)) / mi_adP + auxFF0E[nn + 1] = 1 / mi_adE + auxFF1E[nn + 1] = (dN * (0.5 + kk)) / mi_adE + auxFF0W[nn + 1] = 1 / mi_adW + auxFF1W[nn + 1] = (dN * (0.5 + kk)) / mi_adW nn = nn + 1 From 6cf9a06ff2b9bf2a247ff270dd2f9a5dd0f73b76 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 14:59:31 -0300 Subject: [PATCH 060/138] auxFF2 variables fix --- ross/fluid_flow/tilting_pad.py | 38 +++++++++++++++++----------------- 1 file changed, 19 insertions(+), 19 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 936a8a20f..0a387b587 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -353,11 +353,11 @@ mi_adW = vector_mi[2, nN - nn - 1] / mi_ref auxFF0P[nn + 1] = 1 / mi_adP - auxFF1P[nn + 1] = (dN * (0.5 + kk)) / mi_adP + auxFF1P[nn + 1] = (dN * (-0.5 + kk)) / mi_adP auxFF0E[nn + 1] = 1 / mi_adE - auxFF1E[nn + 1] = (dN * (0.5 + kk)) / mi_adE + auxFF1E[nn + 1] = (dN * (-0.5 + kk)) / mi_adE auxFF0W[nn + 1] = 1 / mi_adW - auxFF1W[nn + 1] = (dN * (0.5 + kk)) / mi_adW + auxFF1W[nn + 1] = (dN * (-0.5 + kk)) / mi_adW nn = nn + 1 @@ -411,20 +411,20 @@ # Loop in N # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(1, nN): + for kk in range(0, nN + 1): mi_adP = vector_mi[0, nN - nn - 1] / mi_ref mi_adE = vector_mi[1, nN - nn - 1] / mi_ref mi_adW = vector_mi[2, nN - nn - 1] / mi_ref - auxFF2P[nn] = ((dN * (0.5 + kk)) / mi_adP) * ( - (dN * (0.5 + kk)) - FF1P / FF0P + auxFF2P[nn] = ((dN * (-0.5 + kk)) / mi_adP) * ( + (dN * (-0.5 + kk)) - FF1P / FF0P ) - auxFF2E[nn] = ((dN * (0.5 + kk)) / mi_adE) * ( - (dN * (0.5 + kk)) - FF1E / FF0E + auxFF2E[nn] = ((dN * (-0.5 + kk)) / mi_adE) * ( + (dN * (-0.5 + kk)) - FF1E / FF0E ) - auxFF2W[nn] = ((dN * (0.5 + kk)) / mi_adW) * ( - (dN * (0.5 + kk)) - FF1W / FF0W + auxFF2W[nn] = ((dN * (-0.5 + kk)) / mi_adW) * ( + (dN * (-0.5 + kk)) - FF1W / FF0W ) nn = nn + 1 @@ -466,17 +466,17 @@ Rs - R - ( - np.sin(dtheta * (0.5 + jj)) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (0.5 + jj)) * (xr + Rs - R - Cr) + np.sin(dtheta * (-0.5 + jj)) * (yr + alpha * (Rs + esp)) + + np.cos(dtheta * (-0.5 + jj)) * (xr + Rs - R - Cr) ) ) / Cr he = ( Rs - R - ( - np.sin(dtheta * (0.5 + jj) + 0.5 * dtheta) + np.sin(dtheta * (-0.5 + jj) + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (0.5 + jj) + 0.5 * dtheta) + + np.cos(dtheta * (-0.5 + jj) + 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr @@ -484,18 +484,18 @@ Rs - R - ( - np.sin(dtheta * (0.5 + jj) - 0.5 * dtheta) + np.sin(dtheta * (-0.5 + jj) - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (0.5 + jj) - 0.5 * dtheta) + + np.cos(dtheta * (-0.5 + jj) - 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr hn = hP hs = hn hpt = -(1 / (Cr * war)) * ( - np.cos(dtheta * (0.5 + jj)) * xrpt - + np.sin(dtheta * (0.5 + jj)) * yrpt - + np.sin(dtheta * (0.5 + jj)) * (Rs + esp) * alphapt + np.cos(dtheta * (-0.5 + jj)) * xrpt + + np.sin(dtheta * (-0.5 + jj)) * yrpt + + np.sin(dtheta * (-0.5 + jj)) * (Rs + esp) * alphapt ) # admensional CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX From 4da675f455f2d734433d6caa43b9bbfa88dc068e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 16:10:52 -0300 Subject: [PATCH 061/138] oil film thickness fix --- ross/fluid_flow/tilting_pad.py | 42 ++++++++++++++++------------------ 1 file changed, 20 insertions(+), 22 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 0a387b587..1edcdeca2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -75,12 +75,12 @@ # optim values from legacy codes x = np.array( [ - 0.000321298907440948, - 0.000218101024776208, - 0.000241891712348458, - 0.000385504446042090, - 0.000516992650533115, - 0.000460227890390222, + 0.000401905634685165, + 0.000210288009621476, + 0.000136772568561263, + 0.000273217426488742, + 0.000537108459033454, + 0.000574699109242178, ] ) @@ -191,19 +191,18 @@ theta1 = -(rp_pad) * betha_s # initial coordinate theta [rad] theta2 = (1 - rp_pad) * betha_s # final coordinate theta [rad] -# theta1 = -(rp_pad-1) * betha_s # initial coordinate theta [rad] -# theta2 = (rp_pad) * betha_s # final coordinate theta [rad] + dtheta = betha_s / (ntheta) # differential theta [rad] Xtheta = np.zeros([ntheta + 2]) Xtheta[0] = theta1 Xtheta[ntheta + 1] = theta2 -Xtheta[1:ntheta] = np.arange( - theta1 + 0.5 * dtheta, theta2 - 0.5 * dtheta, dtheta +Xtheta[1 : ntheta + 1] = np.arange( + theta1 + 0.5 * dtheta, theta2, dtheta ) # vector theta [rad] dX = 1 / nX # differential x dimensionless dx = dX * (betha_s * Rs) # differential x dimensional: [m] -XX = Xtheta * Rs # vector x dimensional: [m +XX = Xtheta * Rs # vector x dimensional: [m] # Pad recess len_betha = 0.39 * betha_s # Pad Angle with recess @@ -462,40 +461,39 @@ FF2s = FF2n # Admensional oil film thickness ======================================== + hP = ( Rs - R - ( - np.sin(dtheta * (-0.5 + jj)) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (-0.5 + jj)) * (xr + Rs - R - Cr) + np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) ) ) / Cr he = ( Rs - R - ( - np.sin(dtheta * (-0.5 + jj) + 0.5 * dtheta) + np.sin(Xtheta[jj + 1] + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (-0.5 + jj) + 0.5 * dtheta) - * (xr + Rs - R - Cr) + + np.cos(Xtheta[jj + 1] + 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr hw = ( Rs - R - ( - np.sin(dtheta * (-0.5 + jj) - 0.5 * dtheta) + np.sin(Xtheta[jj + 1] - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(dtheta * (-0.5 + jj) - 0.5 * dtheta) - * (xr + Rs - R - Cr) + + np.cos(Xtheta[jj + 1] - 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) / Cr hn = hP hs = hn hpt = -(1 / (Cr * war)) * ( - np.cos(dtheta * (-0.5 + jj)) * xrpt - + np.sin(dtheta * (-0.5 + jj)) * yrpt - + np.sin(dtheta * (-0.5 + jj)) * (Rs + esp) * alphapt + np.cos(Xtheta[jj + 1]) * xrpt + + np.sin(Xtheta[jj + 1]) * yrpt + + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt ) # admensional CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX From 0a1126b739a97651096b82fe99003a6086508567 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 16:16:24 -0300 Subject: [PATCH 062/138] "Mat_coef" and "b" fixed here --- ross/fluid_flow/tilting_pad.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1edcdeca2..71b096408 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -496,6 +496,7 @@ + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt ) # admensional + # Finite volume frontiers CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX CW = 1 / (betha_s) ** 2 * (FF2w * hw ** 3) * dZ / dX CN = (FF2n * hn ** 3) * (dX / dZ) * (Rs / L) ** 2 @@ -509,6 +510,7 @@ b[k] = B hhh[k, n_p] = hP * Cr + # Mat_coef determination depending on its mesh localization if ki == 0 and kj == 0: Mat_coef[k, k] = CP - CN - CW Mat_coef[k, k + 1] = CE @@ -576,7 +578,6 @@ # loop end # Pressure field solution ============================================================== - cc = (K_null == 0).nonzero() # cc = find(K_null == 0) p = np.linalg.solve(Mat_coef[cc, cc], b[cc, cc]) # verificar matriz b From 05a0b33e90d7f9746d9a6f9a987e2f9d8cb733c4 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 16:20:34 -0300 Subject: [PATCH 063/138] linalg bug found --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 71b096408..8158d60c7 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -579,7 +579,7 @@ # Pressure field solution ============================================================== cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - p = np.linalg.solve(Mat_coef[cc, cc], b[cc, cc]) # verificar matriz b + p = np.linalg.solve(Mat_coef[cc, cc], b[cc]) cont = 0 From 78a83aa830c45bb9efc36648f22424234a2f0965 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 17:16:50 -0300 Subject: [PATCH 064/138] Pressure field solution fix 1 --- ross/fluid_flow/tilting_pad.py | 12 ++++++++++-- 1 file changed, 10 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8158d60c7..172e76da1 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -578,8 +578,16 @@ # loop end # Pressure field solution ============================================================== - cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - p = np.linalg.solve(Mat_coef[cc, cc], b[cc]) + + # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) + cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) + cc = cc_aux[1] + + lalala = Mat_coef[[cc, cc]] + + lalala2 = b[cc] + + p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) cont = 0 From 41d90f34f98980ec5a5c9bd23b19d833cd4d22f3 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 17:39:57 -0300 Subject: [PATCH 065/138] pressure field solution fix 2 --- ross/fluid_flow/tilting_pad.py | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 172e76da1..460587f6b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -580,12 +580,18 @@ # Pressure field solution ============================================================== # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) + cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) cc = cc_aux[1] - lalala = Mat_coef[[cc, cc]] + # lalala = Mat_coef[[cc, cc]] + + # lalala = np.zeros([len.Mat_coef, len.Mat_coef]) + # for cont_1 in range(0, len.cc): + # for cont_2 in range(0, len.cc): + # lalala[cont_1, cont_2] = cc - lalala2 = b[cc] + # lalala2 = b[cc] p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) From 02c5de397481a02a02446514827234a7a32d8900 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 18 Jan 2021 19:50:15 -0300 Subject: [PATCH 066/138] linalg.solve issue resolved --- ross/fluid_flow/tilting_pad.py | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 460587f6b..3d84c85e4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -593,7 +593,8 @@ # lalala2 = b[cc] - p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) + # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) + p = np.linalg.solve(Mat_coef, b) cont = 0 From 53ded022901656c2054978dc9c9a6d08c927d33c Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 10:55:34 -0300 Subject: [PATCH 067/138] pressure field solved --- ross/fluid_flow/tilting_pad.py | 8 +++----- 1 file changed, 3 insertions(+), 5 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3d84c85e4..2f7a26336 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -381,9 +381,6 @@ auxFF1W[nN + 1] = N2 / (vector_mi[2, nN - 1] / mi_ref) # Numerical integration - - # FF0P=0.5*sum((netha(2:end)-netha(1:end-1)).*(auxFF0P(2:end)+auxFF0P(1:end-1))); - FF0P = 0.5 * np.sum( (netha[1:] - netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) ) @@ -581,8 +578,8 @@ # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) - cc = cc_aux[1] + # cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) + # cc = cc_aux[1] # lalala = Mat_coef[[cc, cc]] @@ -594,6 +591,7 @@ # lalala2 = b[cc] # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) + p = np.linalg.solve(Mat_coef, b) cont = 0 From 82dcc9ea5ef752b6132f8d8bc5ea664eef2b8ef1 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 14:58:11 -0300 Subject: [PATCH 068/138] dimensional pressure determined --- ross/fluid_flow/tilting_pad.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 2f7a26336..3afbad00e 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -607,7 +607,7 @@ else: cont = cont + 1 - P[i, j] = p(cont) + P[i, j] = p[cont] if P[i, j] < 0: P[i, j] = 0 @@ -619,7 +619,7 @@ P[i, j] = 0 # Dimmensional pressure determination in Pascals - Pdim = P * mi_ref * war * Rs ^ 2 / Cr ^ 2 + Pdim = (P * mi_ref * war * (Rs ** 2)) / (Cr ** 2) # Full pressure field with borders PPdim = np.zeros((nZ + 1, ntheta + 1)) From 78d45719817a264757a619b358427bf8a321695f Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 15:06:59 -0300 Subject: [PATCH 069/138] netha z theta loops fixes --- ross/fluid_flow/tilting_pad.py | 27 ++++++++------------------- 1 file changed, 8 insertions(+), 19 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3afbad00e..6cbbb2ac9 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -458,7 +458,6 @@ FF2s = FF2n # Admensional oil film thickness ======================================== - hP = ( Rs - R @@ -577,19 +576,8 @@ # Pressure field solution ============================================================== # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - # cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) # cc = cc_aux[1] - - # lalala = Mat_coef[[cc, cc]] - - # lalala = np.zeros([len.Mat_coef, len.Mat_coef]) - # for cont_1 in range(0, len.cc): - # for cont_2 in range(0, len.cc): - # lalala[cont_1, cont_2] = cc - - # lalala2 = b[cc] - # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) p = np.linalg.solve(Mat_coef, b) @@ -637,13 +625,14 @@ nn = 0 # Dimensionless Netha loop ==================================================== - for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): + # for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): + for kk in range(0, nN + 1): # Mesh loop in Z direction ==================================================== - for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + for ii in range(0, nZ): # Mesh loop in THETA direction ==================================================== - for jj in range( - (theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta) - ): + # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): + for jj in range(0, ntheta): # Pressure gradients calculation if ki == 0 and kj == 0: @@ -667,8 +656,8 @@ Rs - R - ( - np.sin(jj) * (yr + alpha * (Rs + esp)) - + np.cos(jj) * (xr + Rs - R - Cr) + np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) ) ) From b9c2f28d8fb4370c05beaef99951b7f5e030f809 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 15:13:22 -0300 Subject: [PATCH 070/138] dimensional oil film thickness fix --- ross/fluid_flow/tilting_pad.py | 13 ++++++------- 1 file changed, 6 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 6cbbb2ac9..dcfdb609d 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -626,7 +626,7 @@ # Dimensionless Netha loop ==================================================== # for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): - for kk in range(0, nN + 1): + for ky in range(0, nN + 1): # Mesh loop in Z direction ==================================================== # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): for ii in range(0, nZ): @@ -651,7 +651,7 @@ dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz - # Dimensional film thickness in Meters + # Dimensional oil film thickness in Meters h = ( Rs - R @@ -664,11 +664,10 @@ auxFF0 = np.zeros((1, netha.size)) auxFF1 = np.zeros((1, netha.size)) - for contk in range( - ((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h) - ): - auxFF0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] - auxFF1[nn + 1] = contk / mi[ki, kj, nN + 1 - nn] + # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h)): + for contk in range(0, nN - 1): + auxFF0[nn] = 1 / mi[ki, kj, nN - nn] + auxFF1[nn] = (dN * (-0.5 + kk) * h) / mi[ki, kj, nN - nn] nn = nn + 1 nn = 0 From d4ed9e7f0806eea58858eed76dbca5fd9277ace8 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 16:02:58 -0300 Subject: [PATCH 071/138] auxFF0 and auxFF1 fix --- ross/fluid_flow/tilting_pad.py | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index dcfdb609d..cf4279e20 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -661,21 +661,21 @@ ) ) - auxFF0 = np.zeros((1, netha.size)) - auxFF1 = np.zeros((1, netha.size)) + auxFF0 = np.zeros((netha.size)) + auxFF1 = np.zeros((netha.size)) # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h)): - for contk in range(0, nN - 1): - auxFF0[nn] = 1 / mi[ki, kj, nN - nn] - auxFF1[nn] = (dN * (-0.5 + kk) * h) / mi[ki, kj, nN - nn] + for contk in range(1, nN + 1): nn = nn + 1 + auxFF0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + auxFF1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] nn = 0 auxFF0[0] = auxFF0[1] - auxFF0[nN + 2] = auxFF0[nN + 1] + auxFF0[nN + 1] = auxFF0[nN] auxFF1[0] = 0 - auxFF1[nN + 2] = (N2 * h) / mi[ki, kj, 1] + auxFF1[nN + 1] = (N2 * h) / mi[ki, kj, 1] ydim1 = h * netha FF0 = 0.5 * np.sum( From 855c68cf8194a302f2fb43d5117596d225b897a3 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 16:11:01 -0300 Subject: [PATCH 072/138] variable declaration fix --- ross/fluid_flow/tilting_pad.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index cf4279e20..f10172887 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -686,9 +686,9 @@ ) aux_var_1 = np.arange(N1, ky + 1, dN) # N1:dN:ky - auxG0 = np.zeros[1, aux_var_1.size] - auxG1 = np.zeros[1, aux_var_1.size] - ydim2 = np.zeros[1, aux_var_1.size] + auxG0 = np.zeros([aux_var_1.size]) + auxG1 = np.zeros([aux_var_1.size]) + ydim2 = np.zeros([aux_var_1.size]) for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): auxG0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] From 6aaebddad3c15194c586e1951b43d0dc8568be3e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 16:14:52 -0300 Subject: [PATCH 073/138] auxG0 auxG1 and ydim2 initial fix --- ross/fluid_flow/tilting_pad.py | 14 ++++++++++---- 1 file changed, 10 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f10172887..bebe014d0 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -685,15 +685,21 @@ (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) + # auxG0 = zeros(1,length(N1:dN:ky)); + # auxG1 = zeros(1,length(N1:dN:ky)); + # ydim2 = zeros(1,length(N1:dN:ky)); + aux_var_1 = np.arange(N1, ky + 1, dN) # N1:dN:ky auxG0 = np.zeros([aux_var_1.size]) auxG1 = np.zeros([aux_var_1.size]) ydim2 = np.zeros([aux_var_1.size]) - for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - auxG0[nn + 1] = 1 / mi[ki, kj, nN + 1 - nn] - auxG1[nn + 1] = contk / mi[ki, kj, nN + 1 - nn] - ydim2[nn + 1] = contk + # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + for contk in range(1, nN + 1): + nn = nn + 1 + auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + auxG1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] + ydim2[nn] = dN * (-0.5 + contk) * h nn = nn + 1 nn = 0 From a9646f80c7470d163c2a2594b337139e0317751f Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 17:14:40 -0300 Subject: [PATCH 074/138] auxG0 auxG1 and ydim2 final fix --- ross/fluid_flow/tilting_pad.py | 1 - 1 file changed, 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index bebe014d0..46aa174a6 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -696,7 +696,6 @@ # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): for contk in range(1, nN + 1): - nn = nn + 1 auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] auxG1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] ydim2[nn] = dN * (-0.5 + contk) * h From 69645defce0a6c231cd856accc89f9b08ec8b3f9 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 19 Jan 2021 17:24:23 -0300 Subject: [PATCH 075/138] velocity field fixed --- ross/fluid_flow/tilting_pad.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 46aa174a6..e8815bb2e 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -706,17 +706,17 @@ auxG1[0] = 0 ydim2[0] = N1 * h - G0 = ( - 0.5 - * np.sum[(ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1])] + G0 = 0.5 * np.sum( + (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) ) - G1 = ( - 0.5 - * np.sum[(ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1])] + G1 = 0.5 * np.sum( + (ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1]) ) - vu[ki, kj, kk] = dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 - vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 + vu[ki, kj, kk - 1] = ( + dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 + ) + vw[ki, kj, kk - 1] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 kj = kj + 1 From ad66500c79df7394cceca66d457da705bb52ab38 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 15:39:44 -0300 Subject: [PATCH 076/138] radial velocity loop initial fix on loops --- ross/fluid_flow/tilting_pad.py | 24 +++++++++++++----------- 1 file changed, 13 insertions(+), 11 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e8815bb2e..f6689deaa 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -733,38 +733,40 @@ kk = 0 # Mesh loop in Z direction ==================================================== - for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + for ii in range(0, nZ): # Mesh loop in THETA direction ==================================================== - for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): + # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): + for jj in range(0, ntheta): hpt = -( - np.cos[dtheta * (0.5 + jj)] * xrpt - + np.sin[dtheta * (0.5 + jj)] * yrpt - + np.sin[dtheta * (0.5 + jj)] * (Rs + esp) * alphapt + np.cos(Xtheta[jj + 1]) * xrpt + + np.sin(Xtheta[jj + 1]) * yrpt + + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt ) - if ki == 1 and kj == 1: + if ki == 0 and kj == 0: for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): dudx[0, nn] = 0 dwdz[0, nn] = 0 nn = nn + 1 nn = 0 - if ki == 1 and kj > 1: + if ki == 0 and kj > 0: for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx dwdz[0, nn + 1] = 0 nn = nn + 1 nn = 0 - if ki > 1 and kj == 1: + if ki > 0 and kj == 0: for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): dudx[0, nn + 1] = 0 dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz nn = nn + 1 nn = 0 - if ki > 1 and ki < nN and kj > 1 and kj < nX: + if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz @@ -773,8 +775,8 @@ dudx[0, 0] = dudx[0, 1] dwdz[0, 0] = dwdz[0, 1] - dudx[0, nN + 2] = dudx[0, nN + 1] - dwdz[0, nN + 2] = dwdz[0, nN + 1] + dudx[0, nN + 1] = dudx[0, nN] + dwdz[0, nN + 1] = dwdz[0, nN] auxD = dudx + dwdz intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) From 11e10492cc2009c7432bc258294cca43b194f3c4 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 16:19:14 -0300 Subject: [PATCH 077/138] radial velocity loop counters fix --- ross/fluid_flow/tilting_pad.py | 26 +++++++++++++++----------- 1 file changed, 15 insertions(+), 11 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f6689deaa..bca330432 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -746,30 +746,34 @@ ) if ki == 0 and kj == 0: - for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for contk in range(0, nN + 1): dudx[0, nn] = 0 dwdz[0, nn] = 0 nn = nn + 1 nn = 0 if ki == 0 and kj > 0: - for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx - dwdz[0, nn + 1] = 0 + # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for contk in range(0, nN + 1): + dudx[0, nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[0, nn] = 0 nn = nn + 1 nn = 0 if ki > 0 and kj == 0: - for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - dudx[0, nn + 1] = 0 - dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for contk in range(0, nN + 1): + dudx[0, nn] = 0 + dwdz[0, nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz nn = nn + 1 nn = 0 if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: - for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - dudx[0, nn + 1] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx - dwdz[0, nn + 1] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for contk in range(0, nN + 1): + dudx[0, nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[0, nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz nn = nn + 1 nn = 0 @@ -798,7 +802,7 @@ ki = ki - 1 - # Radial velociti calculation ending ------------------------------ + # Radial velocity calculation ending ------------------------------ ksi1 = 0 ksi2 = 1 From 60c8296b5ee1fc5d152c7842a947cc787d4598cb Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 16:44:48 -0300 Subject: [PATCH 078/138] dudx and dwdz arrays fix --- ross/fluid_flow/tilting_pad.py | 28 ++++++++++++++-------------- 1 file changed, 14 insertions(+), 14 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index bca330432..119e25534 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -248,8 +248,8 @@ T1 = np.zeros((nN, ntheta, npad)) # Field derivatives -dudx = np.zeros((1, ntheta)) -dwdz = np.zeros((1, ntheta)) +dudx = np.zeros((nN)) +dwdz = np.zeros((nN)) # Other variables declarations Mi = np.zeros((nZ, nN)) @@ -748,39 +748,39 @@ if ki == 0 and kj == 0: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[0, nn] = 0 - dwdz[0, nn] = 0 + dudx[nn] = 0 + dwdz[nn] = 0 nn = nn + 1 nn = 0 if ki == 0 and kj > 0: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[0, nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx - dwdz[0, nn] = 0 + dudx[nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[nn] = 0 nn = nn + 1 nn = 0 if ki > 0 and kj == 0: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[0, nn] = 0 - dwdz[0, nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + dudx[nn] = 0 + dwdz[nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz nn = nn + 1 nn = 0 if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[0, nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx - dwdz[0, nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + dudx[nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dwdz[nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz nn = nn + 1 nn = 0 - dudx[0, 0] = dudx[0, 1] - dwdz[0, 0] = dwdz[0, 1] - dudx[0, nN + 1] = dudx[0, nN] - dwdz[0, nN + 1] = dwdz[0, nN] + dudx[0] = dudx[1] + dwdz[0] = dwdz[1] + dudx[nN + 1] = dudx[nN] + dwdz[nN + 1] = dwdz[nN] auxD = dudx + dwdz intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) From 1e3f945ac2a6a9cd1a9d231f694bfab173225766 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 16:51:04 -0300 Subject: [PATCH 079/138] radial speed calc additional fix --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 119e25534..c0ae32d03 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -248,8 +248,8 @@ T1 = np.zeros((nN, ntheta, npad)) # Field derivatives -dudx = np.zeros((nN)) -dwdz = np.zeros((nN)) +dudx = np.zeros((nN + 2)) +dwdz = np.zeros((nN + 2)) # Other variables declarations Mi = np.zeros((nZ, nN)) @@ -756,7 +756,7 @@ if ki == 0 and kj > 0: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx + dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / dx dwdz[nn] = 0 nn = nn + 1 nn = 0 @@ -765,15 +765,15 @@ # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): dudx[nn] = 0 - dwdz[nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / dz nn = nn + 1 nn = 0 if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for contk in range(0, nN + 1): - dudx[nn] = (vu[ki, kj, nn] - vu[ki, kj - 1, nn]) / dx - dwdz[nn] = (vw[ki, kj, nn] - vw[ki - 1, kj, nn]) / dz + dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / dx + dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / dz nn = nn + 1 nn = 0 From 6dcf9c50dfc20c733b7167bdaa02628987f921cb Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 16:56:40 -0300 Subject: [PATCH 080/138] radial speed calc indexing fix --- ross/fluid_flow/tilting_pad.py | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index c0ae32d03..621f82d49 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -794,11 +794,11 @@ ki = 0 ki = nN - for ii in range(1, nN): - for jj in range(1, ntheta): - Vu[ii, jj] = vu[:, jj, ki].mean - Vv[ii, jj] = vv[:, jj, ki].mean - Vw[ii, jj] = vw[:, jj, ki].mean + for ii in range(0, nN): + for jj in range(0, ntheta): + Vu[ii, jj] = vu[:, jj, ki - 1].mean + Vv[ii, jj] = vv[:, jj, ki - 1].mean + Vw[ii, jj] = vw[:, jj, ki - 1].mean ki = ki - 1 From 9dd26f00998642adee3ab90c88599dead165f830 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 17:00:47 -0300 Subject: [PATCH 081/138] radial velocity field fix finished --- ross/fluid_flow/tilting_pad.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 621f82d49..86d01d2f9 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -796,9 +796,9 @@ ki = nN for ii in range(0, nN): for jj in range(0, ntheta): - Vu[ii, jj] = vu[:, jj, ki - 1].mean - Vv[ii, jj] = vv[:, jj, ki - 1].mean - Vw[ii, jj] = vw[:, jj, ki - 1].mean + Vu[ii, jj] = np.mean(vu[:, jj, ki - 1]) + Vv[ii, jj] = np.mean(vv[:, jj, ki - 1]) + Vw[ii, jj] = np.mean(vw[:, jj, ki - 1]) ki = ki - 1 From 36a00b582020e69a35cf941bc54e63b660238a58 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 20 Jan 2021 18:08:50 -0300 Subject: [PATCH 082/138] temperature loop misstep variable fix --- ross/fluid_flow/tilting_pad.py | 14 ++++++++------ 1 file changed, 8 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 86d01d2f9..3c2de636a 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -685,10 +685,6 @@ (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - # auxG0 = zeros(1,length(N1:dN:ky)); - # auxG1 = zeros(1,length(N1:dN:ky)); - # ydim2 = zeros(1,length(N1:dN:ky)); - aux_var_1 = np.arange(N1, ky + 1, dN) # N1:dN:ky auxG0 = np.zeros([aux_var_1.size]) auxG1 = np.zeros([aux_var_1.size]) @@ -713,9 +709,12 @@ (ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1]) ) + # vu(ki,kj,kk)=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0; vu[ki, kj, kk - 1] = ( dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 ) + + # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; vw[ki, kj, kk - 1] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 kj = kj + 1 @@ -783,7 +782,10 @@ dwdz[nN + 1] = dwdz[nN] auxD = dudx + dwdz + + # intv=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxD(2:end)+auxD(1:end-1))); intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) + vv[ki, kj,] = ( -intv + hpt ) @@ -810,8 +812,8 @@ kj = 0 dksi = dX - for ii in range(1, nZ): - for jj in range(1, nN): + for ii in range(0, nZ - 1): + for jj in range(0, nN - 1): Mi[jj, ii] = mi[0, ii, jj] nk = nN * ntheta From 85fb2bd609e41853f951648c38a0565bc491177d Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 08:49:48 -0300 Subject: [PATCH 083/138] Mi resizing --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3c2de636a..961c7ea10 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -252,7 +252,7 @@ dwdz = np.zeros((nN + 2)) # Other variables declarations -Mi = np.zeros((nZ, nN)) +Mi = np.zeros((nN, nZ)) YH = np.zeros((nN + 2, nX + 2, npad)) XH = np.zeros((nN + 2, nX + 2)) From 6e003cca718f81231a12882bbe7b153e2d34ee8c Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 08:52:55 -0300 Subject: [PATCH 084/138] Mat_coef and b restart for final loop --- ross/fluid_flow/tilting_pad.py | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 961c7ea10..8c4fda859 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -817,11 +817,12 @@ Mi[jj, ii] = mi[0, ii, jj] nk = nN * ntheta - Mat_coef = np.zeros[nk, nk] - b = np.zeros[nk, 1] + Mat_coef = np.zeros((nk, nk)) + b = np.zeros((nk, 1)) k = 0 - for ii in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + # for ii in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): + for ii in range(0, nN): for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): From 1fa20e4caec6e90adb9f7d28f5189a9f3c55d61a Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:35:14 -0300 Subject: [PATCH 085/138] dksi fix --- ross/fluid_flow/tilting_pad.py | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8c4fda859..5cee84103 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -824,9 +824,11 @@ # for ii in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): for ii in range(0, nN): - for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): + # for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): + # jj is equivalent to: dksi * (-0.5 + jj) + for jj in range(0, nX): - theta = (-0.5 + dtheta * (0.5 + jj)) * betha_s + theta = (-0.5 + (dksi * (-0.5 + jj))) * betha_s HP = ( Rs - R From 1b42387a84583ba1cca8533a0cfd476bf1fe1a13 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:39:13 -0300 Subject: [PATCH 086/138] trig functions fix --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 5cee84103..f399e34d6 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -833,24 +833,24 @@ Rs - R - ( - np.sin[theta] * (yr + alpha * (Rs + esp)) - + np.cos[theta] * (xr + Rs - R - Cr) + np.sin(theta) * (yr + alpha * (Rs + esp)) + + np.cos(theta) * (xr + Rs - R - Cr) ) ) He = ( Rs - R - ( - np.sin[theta + 0.5 * dtheta] * (yr + alpha * (Rs + esp)) - + np.cos[theta + 0.5 * dtheta] * (xr + Rs - R - Cr) + np.sin(theta + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) + + np.cos(theta + 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) Hw = ( Rs - R - ( - np.sin[theta - 0.5 * dtheta] * (yr + alpha * (Rs + esp)) - + np.cos[theta - 0.5 * dtheta] * (xr + Rs - R - Cr) + np.sin(theta - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) + + np.cos(theta - 0.5 * dtheta) * (xr + Rs - R - Cr) ) ) Hn = HP From ae5c173dbd92e3a62a893d3181ac30ae033af7ef Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:41:22 -0300 Subject: [PATCH 087/138] xh and yh fix --- ross/fluid_flow/tilting_pad.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f399e34d6..95a2287cd 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -307,6 +307,8 @@ auxFF2P = np.zeros((nN + 2)) auxFF2E = np.zeros((nN + 2)) auxFF2W = np.zeros((nN + 2)) + xh = np.zeros((nX)) + yh = np.zeros((nX)) hhh = np.zeros((nk, npad)) # oil film thickness K_null = np.zeros((1, nk)) Kij_null = np.zeros((nZ, ntheta)) From d232c7f989417ff549d0ce890875519900869f86 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:42:30 -0300 Subject: [PATCH 088/138] conditional structures indexation fix --- ross/fluid_flow/tilting_pad.py | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 95a2287cd..f563feff4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -869,7 +869,7 @@ Jn = 1 / (betha_s * Rs * Hn) Js = 1 / (betha_s * Rs * Hs) - if ki == 1 and kj == 1: + if ki == 0 and kj == 0: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] @@ -889,56 +889,56 @@ wN = Vw[ki, kj] wS = Vw[ki + 1, kj] - if ki == 1 and kj > 1 and kj < nX: + if ki == 0 and kj > 0 and kj < nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] uW = Vu[ki, kj - 1] uN = Vu[ki, kj] uS = Vu[ki + 1, kj] - if ki > 1 and ki < nN and kj == 1: + if ki > 0 and ki < nN - 1 and kj == 0: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] uW = Vu[ki, kj] uN = Vu[ki - 1, kj] uS = Vu[ki + 1, kj] - if ki == nN and kj == 1: + if ki == nN - 1 and kj == 0: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] uW = Vu[ki, kj] uN = Vu[ki - 1, kj] uS = Vu[ki, kj] - if ki == 1 and kj == nX: + if ki == 0 and kj == nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj] uW = Vu[ki, kj - 1] uN = Vu[ki, kj] uS = Vu[ki + 1, kj] - if ki > 1 and ki < nN and kj == nX: + if ki > 0 and ki < nN - 1 and kj == nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj] uW = Vu[ki, kj - 1] uN = Vu[ki - 1, kj] uS = Vu[ki + 1, kj] - if ki == nN and kj == nX: + if ki == nN - 1 and kj == nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj] uW = Vu[ki, kj - 1] uN = Vu[ki - 1, kj] uS = Vu[ki, kj] - if ki == nN and kj > 1 and kj < nX: + if ki == nN - 1 and kj > 0 and kj < nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] uW = Vu[ki, kj - 1] uN = Vu[ki - 1, kj] uS = Vu[ki, kj] - if ki > 1 and ki < nN and kj > 1 and kj < nX: + if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: uP = Vu[ki, kj] uE = Vu[ki, kj + 1] uW = Vu[ki, kj - 1] From 373822fa6a9510e2f6d872f24f3911d91e98b00e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:43:09 -0300 Subject: [PATCH 089/138] trig functions fix --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f563feff4..6029e28b1 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -983,16 +983,16 @@ ns = np - dN dhdksi_p = -betha_s * ( - np.cos[theta] * (yr + alpha * (Rs + esp)) - - np.sin[theta] * (xr + Rs - R - Cr) + np.cos(theta) * (yr + alpha * (Rs + esp)) + - np.sin(theta) * (xr + Rs - R - Cr) ) dhdksi_e = -betha_s * ( - np.cos[theta + 0.5 * dtheta] * (yr + alpha * (Rs + esp)) - - np.sin[theta + 0.5 * dtheta] * (xr + Rs - R - Cr) + np.cos(theta + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) + - np.sin(theta + 0.5 * dtheta) * (xr + Rs - R - Cr) ) dhdksi_w = -betha_s * ( - np.cos[theta - 0.5 * dtheta] * (yr + alpha * (Rs + esp)) - - np.sin[theta - 0.5 * dtheta] * (xr + Rs - R - Cr) + np.cos(theta - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) + - np.sin(theta - 0.5 * dtheta) * (xr + Rs - R - Cr) ) dhdksi_n = dhdksi_p dhdksi_s = dhdksi_n From 1e039c5a72fedac3a1f6bcc0009d29b11ba1c0ed Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 11:46:06 -0300 Subject: [PATCH 090/138] typo fix --- ross/fluid_flow/tilting_pad.py | 28 ++++++++++++++-------------- 1 file changed, 14 insertions(+), 14 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 6029e28b1..67b672061 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -957,20 +957,20 @@ wN = Vw[ki - 1, kj] wS = Vw[ki + 1, kj] - ue = 0.5 * [uP + uE] - uw = 0.5 * [uP + uW] - un = 0.5 * [uP + uN] - us = 0.5 * [uP + uS] - - ve = 0.5 * [vP + vE] - vw = 0.5 * [vP + vW] - vn = 0.5 * [vP + vN] - vs = 0.5 * [vP + vS] - - we = 0.5 * [wP + wE] - ww = 0.5 * [wP + wW] - wn = 0.5 * [wP + wN] - ws = 0.5 * [wP + wS] + ue = 0.5 * (uP + uE) + uw = 0.5 * (uP + uW) + un = 0.5 * (uP + uN) + us = 0.5 * (uP + uS) + + ve = 0.5 * (vP + vE) + vw = 0.5 * (vP + vW) + vn = 0.5 * (vP + vN) + vs = 0.5 * (vP + vS) + + we = 0.5 * (wP + wE) + ww = 0.5 * (wP + wW) + wn = 0.5 * (wP + wN) + ws = 0.5 * (wP + wS) UP = hP * uP Ue = He * ue From f683e74c730e9b69bd851c60c0e0cb8c187ae934 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 13:05:11 -0300 Subject: [PATCH 091/138] np variable renaming to avoid conflict --- ross/fluid_flow/tilting_pad.py | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 67b672061..7f2abc3a4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -976,11 +976,11 @@ Ue = He * ue Uw = Hw * uw - np = 1 - ii - ne = np - nw = np - nn = np + dN - ns = np - dN + n_p = 1 - ii + ne = n_p + nw = n_p + nn = n_p + dN + ns = n_p - dN dhdksi_p = -betha_s * ( np.cos(theta) * (yr + alpha * (Rs + esp)) @@ -997,7 +997,7 @@ dhdksi_n = dhdksi_p dhdksi_s = dhdksi_n - VP = betha_s * Rs * vP - np * dhdksi_p * uP + VP = betha_s * Rs * vP - n_p * dhdksi_p * uP Vn = betha_s * Rs * vn - nn * dhdksi_n * un Vs = betha_s * Rs * vs - ns * dhdksi_s * us @@ -1005,7 +1005,7 @@ alpha11e = He ** 2 alpha11w = Hw ** 2 - alpha12P = -np * HP * dhdksi_p + alpha12P = -n_p * HP * dhdksi_p alpha12e = -ne * He * dhdksi_e alpha12w = -nw * Hw * dhdksi_w @@ -1013,7 +1013,7 @@ alpha21n = -nn * Hn * dhdksi_n alpha21s = -ns * Hs * dhdksi_s - alpha22P = (betha_s * Rs) ** 2 + (np * dhdksi_p) ** 2 + alpha22P = (betha_s * Rs) ** 2 + (n_p * dhdksi_p) ** 2 alpha22n = (betha_s * Rs) ** 2 + (nn * dhdksi_n) ** 2 alpha22s = (betha_s * Rs) ** 2 + (ns * dhdksi_s) ** 2 From fde8ba531a534b2560dad031a2f4d3fc28b74628 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 13:07:55 -0300 Subject: [PATCH 092/138] np variable renaming to avoid conflict 2 --- ross/fluid_flow/tilting_pad.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 7f2abc3a4..3b5477484 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1097,19 +1097,19 @@ fdiss = 2 * ( ( Cr * hP * (up_a - uw_a) / dksi - - np * Cr * dhdksi_p * (up_a - us_a) / dN + - n_p * Cr * dhdksi_p * (up_a - us_a) / dN ) ** 2 + (betha_s * Rs * (vn_a - vp_a) / dN) ** 2 + ( betha_s * Rs * (up_a - us_a) / dN + Cr * hP * (vp_a - vw_a) / dksi - - np * Cr * dhdksi_p * (vp_a - vs_a) / dksi + - n_p * Cr * dhdksi_p * (vp_a - vs_a) / dksi ) ** 2 + ( Cr * hP * (wp_a - ww_a) / dksi - - np * Cr * dhdksi_p * (wp_a - ws_a) / dN + - n_p * Cr * dhdksi_p * (wp_a - ws_a) / dN ) ** 2 + (betha_s * Rs * (wp_a - ws_a) / dksi) ** 2 From e8cbf5ce796df502074fe453c8f4e539410dcaec Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 13:14:29 -0300 Subject: [PATCH 093/138] major Mat_coef indexing fix --- ross/fluid_flow/tilting_pad.py | 142 ++++++++++++++++----------------- 1 file changed, 71 insertions(+), 71 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3b5477484..8b385cb27 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1116,96 +1116,96 @@ ) # Source term ---------------- - Bp = JP * (war * R) ** 2 * Mi(ki, kj) / Cp * dN * dksi * fdiss + Bp = JP * (war * R) ** 2 * Mi[ki, kj] / Cp * dN * dksi * fdiss # Vectorizing k = k + 1 - b[k, 0] = Bp + b[k - 1, 0] = Bp - if ki == 1 and kj == 1: - Mat_coef[k, k] = Ap + An - Aw - Mat_coef[k, k + 1] = Ae + Ane - Mat_coef[k, k + ntheta] = As - Asw - Mat_coef[k, k + ntheta + 1] = Ase - b[k, 0] = ( - b[k, 0] + if ki == 0 and kj == 0: + Mat_coef[k - 1, k - 1] = Ap + An - Aw + Mat_coef[k - 1, k] = Ae + Ane + Mat_coef[k - 1, k - 1 + ntheta] = As - Asw + Mat_coef[k - 1, k - 1 + ntheta] = Ase + b[k - 1, 0] = ( + b[k - 1, 0] - 2 * (Aw * Tmist[ki + 1] + Asw * Tmist[ki + 2]) - Anw * (Tmist[ki]) ) - if ki == 1 and kj > 1 and kj < nX: - Mat_coef[k, k] = Ap + An - Mat_coef[k, k + 1] = Ae + Ane - Mat_coef[k, k - 1] = Aw + Anw - Mat_coef[k, k + ntheta] = As - Mat_coef[k, k + ntheta + 1] = Ase - Mat_coef[k, k + ntheta - 1] = Asw - - if ki == 1 and kj == nX: - Mat_coef[k, k] = Ap + An + Ane + Ae - Mat_coef[k, k - 1] = Aw + Anw - Mat_coef[k, k + ntheta] = As + Ase - Mat_coef[k, k + ntheta - 1] = Asw - - if kj == 1 and ki > 1 and ki < nN: - Mat_coef[k, k] = Ap - Aw - Mat_coef[k, k + 1] = Ae - Mat_coef[k, k + ntheta] = As - Asw - Mat_coef[k, k - ntheta] = An - Anw - Mat_coef[k, k + ntheta + 1] = Ase - Mat_coef[k, k - ntheta + 1] = Ane - b[k, 0] = ( - b[k, 0] + if ki == 0 and kj > 0 and kj < nX - 1: + Mat_coef[k - 1, k - 1] = Ap + An + Mat_coef[k - 1, k] = Ae + Ane + Mat_coef[k - 1, k - 2] = Aw + Anw + Mat_coef[k - 1, k + ntheta - 1] = As + Mat_coef[k - 1, k + ntheta] = Ase + Mat_coef[k - 1, k + ntheta - 2] = Asw + + if ki == 0 and kj == nX: + Mat_coef[k - 1, k - 1] = Ap + An + Ane + Ae + Mat_coef[k - 1, k - 2] = Aw + Anw + Mat_coef[k - 1, k + ntheta - 1] = As + Ase + Mat_coef[k - 1, k + ntheta - 2] = Asw + + if kj == 0 and ki > 0 and ki < nN - 1: + Mat_coef[k - 1, k - 1] = Ap - Aw + Mat_coef[k - 1, k] = Ae + Mat_coef[k - 1, k + ntheta - 1] = As - Asw + Mat_coef[k - 1, k - ntheta - 1] = An - Anw + Mat_coef[k - 1, k + ntheta] = Ase + Mat_coef[k - 1, k - ntheta] = Ane + b[k - 1, 0] = ( + b[k - 1, 0] - 2 * Tmist[ki - 1] * Anw - 2 * Tmist[ki + 1] * Aw - 2 * Tmist[ki + 2] * Asw ) - if ki > 1 and ki < nN and kj > 1 and kj < nX: - Mat_coef[k, k] = Ap - Mat_coef[k, k + 1] = Ae - Mat_coef[k, k - 1] = Aw - Mat_coef[k, k + ntheta] = As - Mat_coef[k, k - ntheta] = An - Mat_coef[k, k + ntheta + 1] = Ase - Mat_coef[k, k + ntheta - 1] = Asw - Mat_coef[k, k - ntheta + 1] = Ane - Mat_coef[k, k - ntheta - 1] = Anw - - if kj == nX and ki > 1 and ki < nN: - Mat_coef[k, k] = Ap + Ae - Mat_coef[k, k - 1] = Aw - Mat_coef[k, k + ntheta] = As + Ase - Mat_coef[k, k - ntheta] = An + Ane - Mat_coef[k, k + ntheta - 1] = Asw - Mat_coef[k, k - ntheta - 1] = Anw - - if kj == 1 and ki == nN: - Mat_coef[k, k] = Ap + As - Aw - Mat_coef[k, k + 1] = Ae + Ase - Mat_coef[k, k - ntheta] = An - Anw - Mat_coef[k, k - ntheta + 1] = Ane - b[k, 0] = ( - b[k, 0] + if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: + Mat_coef[k - 1, k - 1] = Ap + Mat_coef[k - 1, k] = Ae + Mat_coef[k - 1, k - 2] = Aw + Mat_coef[k - 1, k + ntheta - 1] = As + Mat_coef[k - 1, k - ntheta - 1] = An + Mat_coef[k - 1, k + ntheta] = Ase + Mat_coef[k - 1, k + ntheta - 2] = Asw + Mat_coef[k - 1, k - ntheta] = Ane + Mat_coef[k - 1, k - ntheta - 2] = Anw + + if kj == nX - 1 and ki > 0 and ki < nN - 1: + Mat_coef[k - 1, k - 1] = Ap + Ae + Mat_coef[k - 1, k - 2] = Aw + Mat_coef[k - 1, k + ntheta - 1] = As + Ase + Mat_coef[k - 1, k - ntheta - 1] = An + Ane + Mat_coef[k - 1, k + ntheta - 2] = Asw + Mat_coef[k - 1, k - ntheta - 2] = Anw + + if kj == 0 and ki == nN - 1: + Mat_coef[k - 1, k - 1] = Ap + As - Aw + Mat_coef[k - 1, k] = Ae + Ase + Mat_coef[k - 1, k - ntheta - 1] = An - Anw + Mat_coef[k - 1, k - ntheta] = Ane + b[k - 1, 0] = ( + b[k - 1, 0] - 2 * Tmist[ki + 1] * Aw - 2 * Tmist[ki] * Anw - Tmist[ki + 2] * Asw ) - if ki == nN and kj > 1 and kj < nX: - Mat_coef[k, k] = Ap + As - Mat_coef[k, k + 1] = Ae + Ase - Mat_coef[k, k - 1] = Aw + Asw - Mat_coef[k, k - ntheta] = An - Mat_coef[k, k - ntheta + 1] = Ane - Mat_coef[k, k - ntheta - 1] = Anw - - if ki == nN and kj == nX: - Mat_coef[k, k] = Ap + As + Ae + Ase - Mat_coef[k, k - 1] = Aw + Asw - Mat_coef[k, k - ntheta] = An + Ane - Mat_coef[k, k - ntheta - 1] = Anw + if ki == nN - 1 and kj > 0 and kj < nX - 1: + Mat_coef[k - 1, k - 1] = Ap + As + Mat_coef[k - 1, k] = Ae + Ase + Mat_coef[k - 1, k - 2] = Aw + Asw + Mat_coef[k - 1, k - ntheta - 1] = An + Mat_coef[k - 1, k - ntheta] = Ane + Mat_coef[k - 1, k - ntheta - 2] = Anw + + if ki == nN - 1 and kj == nX - 1: + Mat_coef[k - 1, k - 1] = Ap + As + Ae + Ase + Mat_coef[k - 1, k - 2] = Aw + Asw + Mat_coef[k - 1, k - ntheta - 1] = An + Ane + Mat_coef[k - 1, k - ntheta - 2] = Anw kj = kj + 1 From 65d4474a30e12464c8bffe28d08f67daa7f61a3a Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 15:16:56 -0300 Subject: [PATCH 094/138] counter fix --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8b385cb27..3cc9c73db 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1214,7 +1214,7 @@ ki = 0 nn = 0 - t = np.linalg.solve(Mat_coef, b) # calculo da temperatura vetorizada + t = np.linalg.solve(Mat_coef, b) # vectorized temperature field calculation # Temperature matrix ---------------------- cont = 0 From 25189c770d3e275d50e5db9fbe93066cb4232cfe Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 21 Jan 2021 16:29:55 -0300 Subject: [PATCH 095/138] indexing fix --- ross/fluid_flow/tilting_pad.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3cc9c73db..173e0ca21 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1267,12 +1267,12 @@ Rs - R - ( - np.sin[Xtheta] * (yr + alpha * (Rs + esp)) - + np.cos[Xtheta] * (xr + Rs - R - Cr) + np.sin(Xtheta) * (yr + alpha * (Rs + esp)) + + np.cos(Xtheta) * (xr + Rs - R - Cr) ) ) for jj in range(0, nX + 1): - YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh(jj), nN + 2)) + YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh[jj], nN + 2)) # Integration of pressure field - HydroForces auxF = np.array([np.cos[Xtheta[0:-1]], np.sin[Xtheta[0:-1]]]) From 3b0bd3f5d00762f2f4afa6486a18e05b5808f1a3 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 25 Jan 2021 10:13:37 -0300 Subject: [PATCH 096/138] trig function indexing fix --- ross/fluid_flow/tilting_pad.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 173e0ca21..81f49bbc4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1275,7 +1275,7 @@ YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh[jj], nN + 2)) # Integration of pressure field - HydroForces - auxF = np.array([np.cos[Xtheta[0:-1]], np.sin[Xtheta[0:-1]]]) + auxF = np.array([np.cos(Xtheta[0:-1]), np.sin(Xtheta[0:-1])]) dA = dx * dz auxP = P1[1:-1, 1:-1, n_p] * dA @@ -1295,7 +1295,7 @@ My[n_p] = fyj * (Rs + esp) - if fxj(n_p) >= -1: + if fxj[n_p] >= -1: My[n_p] = 10e6 From 3da61a756c7ac8162e22277cabf8ecd479c3181d Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 25 Jan 2021 14:44:42 -0300 Subject: [PATCH 097/138] syntax fix --- ross/fluid_flow/tilting_pad.py | 30 +++++++++++++++--------------- 1 file changed, 15 insertions(+), 15 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 81f49bbc4..da1c3cae2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1310,23 +1310,23 @@ # hydrodynamic forces Fhx = ( - fxj[0] * np.cos[psi_pad[0] + sigma[0]] - + fxj[1] * np.cos[psi_pad[1] + sigma[1]] - + fxj[2] * np.cos[psi_pad[2] + sigma[2]] - + fxj[3] * np.cos[psi_pad[3] + sigma[3]] - + fxj[4] * np.cos[psi_pad[4] + sigma[4]] - + fxj[5] * np.cos[psi_pad[5] + sigma[5]] + fxj[0] * np.cos(psi_pad[0] + sigma[0]) + + fxj[1] * np.cos(psi_pad[1] + sigma[1]) + + fxj[2] * np.cos(psi_pad[2] + sigma[2]) + + fxj[3] * np.cos(psi_pad[3] + sigma[3]) + + fxj[4] * np.cos(psi_pad[4] + sigma[4]) + + fxj[5] * np.cos(psi_pad[5] + sigma[5]) ) Fhy = ( - fxj[0] * np.sin[psi_pad[0] + sigma[0]] - + fxj[1] * np.sin[psi_pad[1] + sigma[1]] - + fxj[2] * np.sin[psi_pad[2] + sigma[2]] - + fxj[3] * np.sin[psi_pad[3] + sigma[3]] - + fxj[4] * np.sin[psi_pad[4] + sigma[4]] - + fxj[5] * np.sin[psi_pad[5] + sigma[5]] + fxj[0] * np.sin(psi_pad[0] + sigma[0]) + + fxj[1] * np.sin(psi_pad[1] + sigma[1]) + + fxj[2] * np.sin(psi_pad[2] + sigma[2]) + + fxj[3] * np.sin(psi_pad[3] + sigma[3]) + + fxj[4] * np.sin(psi_pad[4] + sigma[4]) + + fxj[5] * np.sin(psi_pad[5] + sigma[5]) ) # Maximum pressure, maximum temperature and minimum thickness -Pmax = np.max[np.max[np.max[P1]]] -Tmax = np.max[np.max[np.max[T1]]] -hmin = np.min[np.min[hhh]] +Pmax = np.max(P1) +Tmax = np.max(T1) +hmin = np.min(hhh) From d359b58faf0c0ea29e309a2b8c9fe6eedba16eea Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 25 Jan 2021 17:36:42 -0300 Subject: [PATCH 098/138] minor fix --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index da1c3cae2..2c6ad3033 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1116,7 +1116,7 @@ ) # Source term ---------------- - Bp = JP * (war * R) ** 2 * Mi[ki, kj] / Cp * dN * dksi * fdiss + Bp = JP * ((war * R) ** 2) * Mi[ki, kj] / Cp * dN * dksi * fdiss # Vectorizing k = k + 1 From 693a04d1f78b7bd17e5973ad566b7378637d7bb0 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 26 Jan 2021 17:21:19 -0300 Subject: [PATCH 099/138] mesh indexing fix --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 2c6ad3033..0bee158fb 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -830,7 +830,7 @@ # jj is equivalent to: dksi * (-0.5 + jj) for jj in range(0, nX): - theta = (-0.5 + (dksi * (-0.5 + jj))) * betha_s + theta = (-0.5 + (dksi * (+0.5 + jj))) * betha_s HP = ( Rs - R From 263d0c8c6985954ebedaa767ed8ba724d277579b Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 28 Jan 2021 14:18:09 -0300 Subject: [PATCH 100/138] vu vv vw fix --- ross/fluid_flow/tilting_pad.py | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 0bee158fb..5be463fa4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -798,8 +798,8 @@ ki = 0 ki = nN - for ii in range(0, nN): - for jj in range(0, ntheta): + for ii in range(0, nN - 1): + for jj in range(0, ntheta - 1): Vu[ii, jj] = np.mean(vu[:, jj, ki - 1]) Vv[ii, jj] = np.mean(vv[:, jj, ki - 1]) Vw[ii, jj] = np.mean(vw[:, jj, ki - 1]) @@ -830,6 +830,7 @@ # jj is equivalent to: dksi * (-0.5 + jj) for jj in range(0, nX): + # theta = (-0.5 + (dksi * (+0.5 + jj))) * betha_s HP = ( Rs @@ -1214,6 +1215,7 @@ ki = 0 nn = 0 + t = np.linalg.solve(Mat_coef, b) # vectorized temperature field calculation # Temperature matrix ---------------------- From adbeea3f4051a7901effc165eb98d774efadc0db Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 28 Jan 2021 14:32:50 -0300 Subject: [PATCH 101/138] Majora auxG0 auxG1 ydim2 declaration and sizing fix --- ross/fluid_flow/tilting_pad.py | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 5be463fa4..535b072db 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -687,10 +687,14 @@ (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - aux_var_1 = np.arange(N1, ky + 1, dN) # N1:dN:ky - auxG0 = np.zeros([aux_var_1.size]) - auxG1 = np.zeros([aux_var_1.size]) - ydim2 = np.zeros([aux_var_1.size]) + # aux_var_1 = np.arange(N1, ky, dN) # N1:dN:ky + # auxG0 = np.zeros([aux_var_1.size]) + # auxG1 = np.zeros([aux_var_1.size]) + # ydim2 = np.zeros([aux_var_1.size]) + + auxG0 = np.zeros([nN + 1]) + auxG1 = np.zeros([nN + 1]) + ydim2 = np.zeros([nN + 1]) # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): for contk in range(1, nN + 1): @@ -798,8 +802,8 @@ ki = 0 ki = nN - for ii in range(0, nN - 1): - for jj in range(0, ntheta - 1): + for ii in range(0, nN): + for jj in range(0, ntheta): Vu[ii, jj] = np.mean(vu[:, jj, ki - 1]) Vv[ii, jj] = np.mean(vv[:, jj, ki - 1]) Vw[ii, jj] = np.mean(vw[:, jj, ki - 1]) From 091db24eddf6d9f9ac40e79d4c7731c12479380e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 28 Jan 2021 18:25:58 -0300 Subject: [PATCH 102/138] found the missing variables --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 535b072db..39fc9ce1b 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1031,13 +1031,13 @@ D11e = kt / Cp * Je * alpha11e * dN D11w = kt / Cp * Jw * alpha11w * dN - D12 = kt / Cp * JP * alpha12P * dN - D12e = kt / Cp * Je * alpha12e * dN - D12w = kt / Cp * Jw * alpha12w * dN + D12 = kt / Cp * JP * alpha12P * dN ## alpha12P missing the mark! + D12e = kt / Cp * Je * alpha12e * dN ## alpha12e missing the mark! + D12w = kt / Cp * Jw * alpha12w * dN ## alpha12w missing the mark! - D21 = kt / Cp * JP * alpha21P * dksi - D21n = kt / Cp * Jn * alpha21n * dksi - D21s = kt / Cp * Js * alpha21s * dksi + D21 = kt / Cp * JP * alpha21P * dksi ## alpha21P missing the mark! + D21n = kt / Cp * Jn * alpha21n * dksi ## alpha21e missing the mark! + D21s = kt / Cp * Js * alpha21s * dksi ## alpha21w missing the mark! D22 = kt / Cp * JP * alpha22P * dksi D22n = kt / Cp * Jn * alpha22n * dksi From e8ebf086bea91293d644047b9e436f758c30d33b Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 1 Feb 2021 11:28:16 -0300 Subject: [PATCH 103/138] n_p critical fix --- ross/fluid_flow/tilting_pad.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 39fc9ce1b..62d2059e6 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -981,7 +981,7 @@ Ue = He * ue Uw = Hw * uw - n_p = 1 - ii + n_p = 1 - ((ii + 1) * dN) ne = n_p nw = n_p nn = n_p + dN From 96a775f0df6db168e28ec9567ae027c7fc7bd076 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 1 Feb 2021 11:36:07 -0300 Subject: [PATCH 104/138] n_p correction --- ross/fluid_flow/tilting_pad.py | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 62d2059e6..d70a265e2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -981,7 +981,7 @@ Ue = He * ue Uw = Hw * uw - n_p = 1 - ((ii + 1) * dN) + n_p = 1 - ((ii + 0.5) * dN) ne = n_p nw = n_p nn = n_p + dN @@ -1031,13 +1031,13 @@ D11e = kt / Cp * Je * alpha11e * dN D11w = kt / Cp * Jw * alpha11w * dN - D12 = kt / Cp * JP * alpha12P * dN ## alpha12P missing the mark! - D12e = kt / Cp * Je * alpha12e * dN ## alpha12e missing the mark! - D12w = kt / Cp * Jw * alpha12w * dN ## alpha12w missing the mark! + D12 = kt / Cp * JP * alpha12P * dN + D12e = kt / Cp * Je * alpha12e * dN + D12w = kt / Cp * Jw * alpha12w * dN - D21 = kt / Cp * JP * alpha21P * dksi ## alpha21P missing the mark! - D21n = kt / Cp * Jn * alpha21n * dksi ## alpha21e missing the mark! - D21s = kt / Cp * Js * alpha21s * dksi ## alpha21w missing the mark! + D21 = kt / Cp * JP * alpha21P * dksi + D21n = kt / Cp * Jn * alpha21n * dksi + D21s = kt / Cp * Js * alpha21s * dksi D22 = kt / Cp * JP * alpha22P * dksi D22n = kt / Cp * Jn * alpha22n * dksi From 10529a6d55b7e6276059c6655a4cbef63187e821 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 1 Feb 2021 18:08:56 -0300 Subject: [PATCH 105/138] aux_nN creation for replacing contk --- ross/fluid_flow/tilting_pad.py | 41 ++++++++++++++++++++-------------- 1 file changed, 24 insertions(+), 17 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index d70a265e2..8b81209bb 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -628,13 +628,13 @@ # Dimensionless Netha loop ==================================================== # for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): - for ky in range(0, nN + 1): + for ky in range(0, nN - 1): # Mesh loop in Z direction ==================================================== # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): - for ii in range(0, nZ): + for ii in range(0, nZ - 1): # Mesh loop in THETA direction ==================================================== # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): - for jj in range(0, ntheta): + for jj in range(0, ntheta - 1): # Pressure gradients calculation if ki == 0 and kj == 0: @@ -696,11 +696,20 @@ auxG1 = np.zeros([nN + 1]) ydim2 = np.zeros([nN + 1]) + # Auxiliary variable for counting + aux_nN = np.linspace( + ((N1 + 0.5 * dN) * h), + (ky * h), + num=((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), + ) + # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - for contk in range(1, nN + 1): - auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - auxG1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] - ydim2[nn] = dN * (-0.5 + contk) * h + for contk in range(1, nN): + auxG0[nn + 1] = 1 / mi[ki, kj, nN - 1 - nn] + auxG1[nn + 1] = (dN * (-0.5 + contk) * h) / mi[ + ki, kj, nN - 1 - nn + ] + ydim2[nn + 1] = (dN * h) * (-0.5 + nn) nn = nn + 1 nn = 0 @@ -716,12 +725,10 @@ ) # vu(ki,kj,kk)=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0; - vu[ki, kj, kk - 1] = ( - dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 - ) + vu[ki, kj, kk] = dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; - vw[ki, kj, kk - 1] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 + vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 kj = kj + 1 @@ -801,12 +808,12 @@ ki = ki + 1 ki = 0 - ki = nN - for ii in range(0, nN): - for jj in range(0, ntheta): - Vu[ii, jj] = np.mean(vu[:, jj, ki - 1]) - Vv[ii, jj] = np.mean(vv[:, jj, ki - 1]) - Vw[ii, jj] = np.mean(vw[:, jj, ki - 1]) + ki = nN - 1 + for ii in range(0, nN - 1): + for jj in range(0, ntheta - 1): + Vu[ii, jj] = np.mean(vu[:, jj, ki]) + Vv[ii, jj] = np.mean(vv[:, jj, ki]) + Vw[ii, jj] = np.mean(vw[:, jj, ki]) ki = ki - 1 From 9273fb56eed616fd567ae9fda545b024aa73fa81 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 2 Feb 2021 15:37:32 -0300 Subject: [PATCH 106/138] aux_nN fix 1 --- ross/fluid_flow/tilting_pad.py | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8b81209bb..fbd7dfb21 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -697,10 +697,17 @@ ydim2 = np.zeros([nN + 1]) # Auxiliary variable for counting + num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) + num2 = ((N1 + 0.5 * dN) * h) - (ky * h) + num3 = dN * h + num4 = (N1 + 0.5 * dN) * h + num5 = ky * h + num = 0 + aux_nN = np.linspace( ((N1 + 0.5 * dN) * h), (ky * h), - num=((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), + num=np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), ) # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): From 0fe9ea7359746766ad9c63c21df81311c1a618c7 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 2 Feb 2021 16:45:49 -0300 Subject: [PATCH 107/138] runs, but assembles auxG0 G1 ans ydim2 with error --- ross/fluid_flow/tilting_pad.py | 24 ++++++++++++------------ 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index fbd7dfb21..af78629e5 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -697,18 +697,18 @@ ydim2 = np.zeros([nN + 1]) # Auxiliary variable for counting - num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) - num2 = ((N1 + 0.5 * dN) * h) - (ky * h) - num3 = dN * h - num4 = (N1 + 0.5 * dN) * h - num5 = ky * h - num = 0 - - aux_nN = np.linspace( - ((N1 + 0.5 * dN) * h), - (ky * h), - num=np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), - ) + # num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) + # num2 = ((N1 + 0.5 * dN) * h) - (ky * h) + # num3 = dN * h + # num4 = (N1 + 0.5 * dN) * h + # num5 = ky * h + # num = 0 + + # aux_nN = np.linspace( + # ((N1 + 0.5 * dN) * h), + # (ky * h), + # num=np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), + # ) # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): for contk in range(1, nN): From cadb3bff3d58be247c0c25d54ba0a9757e2d27d6 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Tue, 2 Feb 2021 18:01:50 -0300 Subject: [PATCH 108/138] contk declaration error --- ross/fluid_flow/tilting_pad.py | 20 ++++++++++++++------ 1 file changed, 14 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index af78629e5..dfb62d09d 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -710,14 +710,22 @@ # num=np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), # ) - # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - for contk in range(1, nN): + # # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + # for contk in range(1, nN): + # auxG0[nn + 1] = 1 / mi[ki, kj, nN - 1 - nn] + # auxG1[nn + 1] = ((dN * h) * (-0.5 + nn)) / mi[ + # ki, kj, nN - 1 - nn + # ] + # ydim2[nn + 1] = (dN * h) * (-0.5 + nn) + # nn = nn + 1 + + for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + # for contk in range(1, nN): auxG0[nn + 1] = 1 / mi[ki, kj, nN - 1 - nn] - auxG1[nn + 1] = (dN * (-0.5 + contk) * h) / mi[ - ki, kj, nN - 1 - nn - ] - ydim2[nn + 1] = (dN * h) * (-0.5 + nn) + auxG1[nn + 1] = contk / mi[ki, kj, nN - 1 - nn] + ydim2[nn + 1] = contk nn = nn + 1 + nn = 0 auxG0[0] = auxG0[1] From 0edc0b0596b576cc8b0a294c4c5ddc401123062d Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 3 Feb 2021 16:19:20 -0300 Subject: [PATCH 109/138] auxG0, auxG1 and ydim2 FIXED --- ross/fluid_flow/tilting_pad.py | 60 ++++++++++++++-------------------- 1 file changed, 25 insertions(+), 35 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index dfb62d09d..9876c10e3 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -687,44 +687,34 @@ (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - # aux_var_1 = np.arange(N1, ky, dN) # N1:dN:ky - # auxG0 = np.zeros([aux_var_1.size]) - # auxG1 = np.zeros([aux_var_1.size]) - # ydim2 = np.zeros([aux_var_1.size]) + # Auxiliary variable for counting + num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) + num2 = ((N1 + 0.5 * dN) * h) - (ky * h) + num3 = dN * h + num4 = (N1 + 0.5 * dN) * h + num5 = ky * h + num = 0 + + aux_nN_num = ( + np.int(np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h))) + + 2 + ) - auxG0 = np.zeros([nN + 1]) - auxG1 = np.zeros([nN + 1]) - ydim2 = np.zeros([nN + 1]) + aux_nN = np.linspace( + (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num + ) - # Auxiliary variable for counting - # num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) - # num2 = ((N1 + 0.5 * dN) * h) - (ky * h) - # num3 = dN * h - # num4 = (N1 + 0.5 * dN) * h - # num5 = ky * h - # num = 0 - - # aux_nN = np.linspace( - # ((N1 + 0.5 * dN) * h), - # (ky * h), - # num=np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h)), - # ) - - # # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - # for contk in range(1, nN): - # auxG0[nn + 1] = 1 / mi[ki, kj, nN - 1 - nn] - # auxG1[nn + 1] = ((dN * h) * (-0.5 + nn)) / mi[ - # ki, kj, nN - 1 - nn - # ] - # ydim2[nn + 1] = (dN * h) * (-0.5 + nn) - # nn = nn + 1 - - for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - # for contk in range(1, nN): - auxG0[nn + 1] = 1 / mi[ki, kj, nN - 1 - nn] - auxG1[nn + 1] = contk / mi[ki, kj, nN - 1 - nn] - ydim2[nn + 1] = contk + auxG0 = np.zeros([aux_nN.size]) + auxG1 = np.zeros([aux_nN.size]) + ydim2 = np.zeros([aux_nN.size]) + + # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + for contk in range(0, aux_nN.size): + auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] + ydim2[nn] = aux_nN[nn] nn = nn + 1 + print(nn) nn = 0 From a2633863188acd31bec45689aff2ff82009a1659 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Wed, 3 Feb 2021 16:39:21 -0300 Subject: [PATCH 110/138] contk and nn limit value error --- ross/fluid_flow/tilting_pad.py | 26 +++++++++++++------------- 1 file changed, 13 insertions(+), 13 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 9876c10e3..7fdca5a7c 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -688,39 +688,39 @@ ) # Auxiliary variable for counting - num1 = ((-(N1 + 0.5 * dN) * h) + (ky * h)) / (dN * h) - num2 = ((N1 + 0.5 * dN) * h) - (ky * h) - num3 = dN * h - num4 = (N1 + 0.5 * dN) * h - num5 = ky * h - num = 0 - - aux_nN_num = ( - np.int(np.round((((N1 + 0.5 * dN) * h) - (ky * h)) / (dN * h))) - + 2 + aux_nN_num = abs( + np.int( + np.round( + (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) / (dN * h) + ) + ) ) aux_nN = np.linspace( (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num ) + # Auxilary variables declaration/reset auxG0 = np.zeros([aux_nN.size]) auxG1 = np.zeros([aux_nN.size]) ydim2 = np.zeros([aux_nN.size]) # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): for contk in range(0, aux_nN.size): + print(nn) auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] ydim2[nn] = aux_nN[nn] nn = nn + 1 print(nn) + # Counter reset nn = 0 - auxG0[0] = auxG0[1] - auxG1[0] = 0 - ydim2[0] = N1 * h + # First position fix + # auxG0[0] = auxG0[1] + # auxG1[0] = 0 + # ydim2[0] = N1 * h G0 = 0.5 * np.sum( (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) From b3d7f4b43836a88d9c1d348c03c98659774b925b Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 4 Feb 2021 10:23:06 -0300 Subject: [PATCH 111/138] contk partial fix --- ross/fluid_flow/tilting_pad.py | 16 +++++++--------- 1 file changed, 7 insertions(+), 9 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 7fdca5a7c..ef1445b9e 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -688,12 +688,15 @@ ) # Auxiliary variable for counting - aux_nN_num = abs( - np.int( - np.round( - (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) / (dN * h) + aux_nN_num = ( + abs( + np.int( + np.round( + (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) / (dN * h) + ) ) ) + + 2 ) aux_nN = np.linspace( @@ -717,11 +720,6 @@ # Counter reset nn = 0 - # First position fix - # auxG0[0] = auxG0[1] - # auxG1[0] = 0 - # ydim2[0] = N1 * h - G0 = 0.5 * np.sum( (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) ) From 3fbd9ba07bcf6d1240d94afef67e2ce6e897916a Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 4 Feb 2021 10:51:47 -0300 Subject: [PATCH 112/138] nn flipping to twice its size error isolated --- ross/fluid_flow/tilting_pad.py | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index ef1445b9e..532c09e27 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -708,8 +708,11 @@ auxG1 = np.zeros([aux_nN.size]) ydim2 = np.zeros([aux_nN.size]) + # Counter reset + nn = 0 + # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - for contk in range(0, aux_nN.size): + for contk in range(0, aux_nN.size - 1): print(nn) auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] From 4ccca581a365d91f9fb9191b561c87f44cd4d514 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 4 Feb 2021 18:04:42 -0300 Subject: [PATCH 113/138] contk loop partial fix --- ross/fluid_flow/tilting_pad.py | 12 ++++++++---- 1 file changed, 8 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 532c09e27..1a63c24ac 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -692,7 +692,8 @@ abs( np.int( np.round( - (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) / (dN * h) + (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) + / abs(dN * h) ) ) ) @@ -703,10 +704,13 @@ (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num ) + aux_N1_ky_num_1 = np.int(abs((abs(N1) - abs(ky)) / abs(dN))) + 2 + aux_N1_ky_num_2 = np.linspace(N1, ky, num=aux_N1_ky_num_1) + # Auxilary variables declaration/reset - auxG0 = np.zeros([aux_nN.size]) - auxG1 = np.zeros([aux_nN.size]) - ydim2 = np.zeros([aux_nN.size]) + auxG0 = np.zeros([aux_N1_ky_num_2.size]) + auxG1 = np.zeros([aux_N1_ky_num_2.size]) + ydim2 = np.zeros([aux_N1_ky_num_2.size]) # Counter reset nn = 0 From 31ea28b835f379df300f62ba9c224caae009d158 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 8 Feb 2021 09:37:48 -0300 Subject: [PATCH 114/138] auxG0 auxG1 and ydim2 fix --- ross/fluid_flow/tilting_pad.py | 97 +++++++++++++++++++++++----------- 1 file changed, 65 insertions(+), 32 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1a63c24ac..4e69ced54 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -687,46 +687,79 @@ (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - # Auxiliary variable for counting - aux_nN_num = ( - abs( - np.int( - np.round( - (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) - / abs(dN * h) - ) - ) - ) - + 2 - ) - - aux_nN = np.linspace( - (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num - ) - - aux_N1_ky_num_1 = np.int(abs((abs(N1) - abs(ky)) / abs(dN))) + 2 - aux_N1_ky_num_2 = np.linspace(N1, ky, num=aux_N1_ky_num_1) - - # Auxilary variables declaration/reset - auxG0 = np.zeros([aux_N1_ky_num_2.size]) - auxG1 = np.zeros([aux_N1_ky_num_2.size]) - ydim2 = np.zeros([aux_N1_ky_num_2.size]) - - # Counter reset - nn = 0 + # # Auxiliary variable for counting + # aux_nN_num = ( + # abs( + # np.int( + # np.round( + # (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) + # / abs(dN * h) + # ) + # ) + # ) + # + 2 + # ) + # + # aux_nN = np.linspace( + # (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num + # ) + # + # aux_N1_ky_num_1 = np.int(abs((abs(N1) - abs(ky)) / abs(dN))) + 2 + # aux_N1_ky_num_2 = np.linspace(N1, ky, num=aux_N1_ky_num_1) + # + # # Auxilary variables declaration/reset + # auxG0 = np.zeros([aux_N1_ky_num_2.size]) + # auxG1 = np.zeros([aux_N1_ky_num_2.size]) + # ydim2 = np.zeros([aux_N1_ky_num_2.size]) + # + ## Counter reset + # nn = 0 + # + ## for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): + # for contk in range(0, aux_nN.size - 1): + # print(nn) + # auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + # auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] + # ydim2[nn] = aux_nN[nn] + # nn = nn + 1 + # print(nn) + + auxG0 = np.zeros((netha.size)) + auxG1 = np.zeros((netha.size)) + ydim2 = np.zeros((netha.size)) + + ## for contk in range(((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h)): + # for contk in range(1, nN + 1): + # nn = nn + 1 + # auxFF0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + # auxFF1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] + # nn = 0 + # + # auxFF0[0] = auxFF0[1] + # auxFF0[nN + 1] = auxFF0[nN] + # + # auxFF1[0] = 0 + # auxFF1[nN + 1] = (N2 * h) / mi[ki, kj, 1] + # + # ydim1 = h * netha # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - for contk in range(0, aux_nN.size - 1): - print(nn) - auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] - ydim2[nn] = aux_nN[nn] + for contk in range(1, nN + 1): nn = nn + 1 print(nn) + auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] + auxG1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] + ydim2[nn] = dN * (-0.5 + contk) * h # Counter reset nn = 0 + auxG0[0] = auxG0[1] + auxG0[nN + 1] = auxG0[nN] + + auxG1[0] = 0 + auxG1[nN + 1] = (N2 * h) / mi[ki, kj, 1] + G0 = 0.5 * np.sum( (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) ) From c3fd8940637d4bccf12c1bf45458df9ef6e9c339 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Mon, 8 Feb 2021 16:07:17 -0300 Subject: [PATCH 115/138] Object oriented paradigm applied --- ross/fluid_flow/tilting_pad.py | 2614 ++++++++++++++++---------------- 1 file changed, 1305 insertions(+), 1309 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 4e69ced54..a3e965f94 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1,1388 +1,1384 @@ -"""Tilting-pad hydrodynamic bearing properties calculation module - -In this module, the tilting-pad bearing properties can be estimated and -simulated for a given set of properties, until the model reaches a steady- --state of numerical convergence. These properties can then be exported to -external files, and used in the bearing_seal_element.py routine inside the -ROSS framework. This routine can also be used for bearing properties esti- -mation for general purposes. -""" - - -import os -import warnings - import numpy as np -import toml -from plotly import graph_objects as go -from scipy import interpolate as interpolate - -from ross.element import Element -from ross.fluid_flow import fluid_flow as flow -from ross.fluid_flow.fluid_flow_coefficients import ( - calculate_short_damping_matrix, - calculate_short_stiffness_matrix, -) -from ross.units import Q_, check_units -from ross.utils import read_table_file - - -# __all__ = [ -# ] - -# FOR THE MOMENT, THIS CODE IS BEING TRANSLATED FROM MATLAB TO PYTHON, AND -# THEREFORE THIS PROCESS WILL BE MADE IN LINEAR PROGRAMMING STANDARDS. ONCE -# THIS INITIAL TRANSLATION IS DONE, AND THE CODE VALIDATED, THE MODULARIZATION -# AND CONVERSION TO OBJECT ORIENTED STANDARDS WILL BE MADE. - - -# class _TiltingPad: -# """Tilting-pad hydrodynamic bearing properties calculation class. -# -# This class takes the tilting-pad bearing geometrical and physical properties, to -# determine it's influence in the rotor system's dynamic response. It also generates -# the bearings stiffness depending on the rotor rotation speed. -# -# STILL HAS TO CHANGE THE REST FROM HERE DOWN -# """ -# -# def __init__(self, coefficient, frequency=None): - - -""" -P1 -T1 -XH -YH -E -phi -# Cr -# Tcuba -Xtheta -XZdim -ntheta -Fhx -Fhy -Pmax -hmin -Tmax -""" -phi = 30 * np.pi / 180 -E = 0.5 +class Tilting: + def __init__( + self, + R, + Rs, + esp, + betha_s, + rp_pad, + L, + sigma, + fR, + wa, + kt, + Cp, + rho, + mi_ref, + E, + phi, + psi_pad, + npad, + Cr, + alpha, + Tcuba, + ntheta, + nX, + nZ, + nN, + ): + self.R = R + self.Rs = Rs + self.esp = esp + self.rp_pad = rp_pad + self.L = L + self.fR = fR + self.wa = wa + self.kt = kt + self.Cp = Cp + self.rho = rho + self.mi_ref = mi_ref + self.E = E + self.phi = phi + self.psi_pad = psi_pad + self.npad = npad + self.Cr = Cr + self.Tcuba = Tcuba + self.ntheta = ntheta + self.nX = nX + self.nZ = nZ + self.nN = nN + + self.war = wa * (np.pi / 30) + + self.betha_s = betha_s * (np.pi / 180) + self.sigma = sigma * (np.pi / 180) + self.xx = E * Cr * np.cos(phi) + self.yy = E * Cr * np.sin(phi) + self.alphapt = alpha # * (2 * np.pi * 5) * alpha + + + self.xpt = -(2 * np.pi * 5) * self.yy + self.ypt = (2 * np.pi * 5) * self.xx + + self.Z1 = 0 # initial coordinate z dimensionless + self.Z2 = 1 # final coordinate z dimensionless + self.dZ = 1 / (nZ) # differential z dimensionless + self.dz = self.dZ * L # differential z dimensional: [m] + XZ = np.zeros([nZ + 2]) + XZ[0] = self.Z1 + XZ[nZ + 1] = self.Z2 + XZ[1 : nZ + 1] = self.Z1 + np.arange(0.5 * self.dZ, self.Z2, self.dZ) # vector z dimensionless + + self.XZ = XZ + + self.XZdim = XZ * L # vector z dimensional [m] + + self.N1 = 0 # initial coordinate netha dimensionless + self.N2 = 1 # final coordinate netha dimensionless + self.dN = 1 / (nN) # differential netha dimensionless + + netha = np.zeros([nN + 2]) + netha[0] = self.N1 + netha[nN + 1] = self.N2 + netha[1 : nN + 1] = self.N1 + np.arange(0.5 * self.dN, self.N2, self.dN) # vector netha dimensionless + + self.netha = netha + + self.theta1 = -(rp_pad) * self.betha_s # initial coordinate theta [rad] + self.theta2 = (1 - rp_pad) * self.betha_s # final coordinate theta [rad] + + self.dtheta = self.betha_s / (ntheta) # differential theta [rad] + Xtheta = np.zeros([ntheta + 2]) + Xtheta[0] = self.theta1 + Xtheta[ntheta + 1] = self.theta2 + Xtheta[1 : ntheta + 1] = np.arange( + self.theta1 + 0.5 * self.dtheta, self.theta2, self.dtheta + ) # vector theta [rad] + self.Xtheta = Xtheta + + self.dX = 1 / nX # differential x dimensionless + self.dx = self.dX * (self.betha_s * Rs) # differential x dimensional: [m] + self.XX = Xtheta * Rs # vector x dimensional: [m] + + # Pad recess + self.len_betha = 0.39 * self.betha_s # Pad Angle with recess + self.len_L = 0.71 * L # Bearing length with recess + self.center_pos_L = L / 2 + self.start_pos_betha = 0 * self.betha_s + self.drop_pressure_pos_L = np.array([self.center_pos_L - self.len_L / 2, self.center_pos_L + self.len_L / 2]) + self.drop_pressure_pos_betha = np.array([self.start_pos_betha, self.start_pos_betha + self.len_betha]) + + self.drop_pressure_Ele_nZ = np.intersect1d( + np.where(self.XZdim > self.drop_pressure_pos_L[0]), np.where(self.XZdim < self.drop_pressure_pos_L[1]) + ) + self.drop_pressure_Ele_ntetha = np.intersect1d( + np.where(Xtheta >= self.drop_pressure_pos_betha[0] + self.theta1), + np.where(Xtheta <= self.drop_pressure_pos_betha[1] + self.theta1), + ) + def _forces(self): + + T_ref = self.Tcuba + + # Startup + npad = self.npad - 1 + Tmist = T_ref * np.ones((self.nN + 2)) + + # Initial viscosity field + minovo = self.mi_ref * np.ones((self.nZ, self.ntheta, self.nN)) + + # Velocity field - 3D + vu = np.zeros((self.nZ, self.ntheta, self.nN)) + vv = np.zeros((self.nZ, self.ntheta, self.nN)) + vw = np.zeros((self.nZ, self.ntheta, self.nN)) + + # Velocity field - 2D + Vu = np.zeros((self.nN, self.ntheta)) + Vv = np.zeros((self.nN, self.ntheta)) + Vw = np.zeros((self.nN, self.ntheta)) + + # Pressure field + P = np.zeros((self.ntheta, self.ntheta)) + P1 = np.zeros((self.ntheta, self.ntheta, npad)) + + # Temperature field + T = np.zeros((self.nN, self.ntheta)) + T1 = np.zeros((self.nN, self.ntheta, npad)) + + # Field derivatives + dudx = np.zeros((self.nN + 2)) + dwdz = np.zeros((self.nN + 2)) + + # Other variables declarations + Mi = np.zeros((self.nN, self.nZ)) + YH = np.zeros((self.nN + 2, self.nX + 2, npad)) + XH = np.zeros((self.nN + 2, self.nX + 2)) + + fxj = np.zeros((npad)) + My = np.zeros((npad)) + + for ii in range(0, self.nX + 2): + XH[:, ii] = self.Xtheta[ii] + + # Loop on the pads ========================================================================== + for n_p in range(0, npad): + alpha = self.psi_pad[n_p] + + # transformation of coordinates - inertial to pivot referential + xryr = np.dot( + [ + [np.cos(self.sigma[n_p]), np.sin(self.sigma[n_p])], + [-np.sin(self.sigma[n_p]), np.cos(self.sigma[n_p])], + ], + [[self.xx], [self.yy]], + ) + + xryrpt = np.dot( + [ + [np.cos(self.sigma[n_p]), np.sin(self.sigma[n_p])], + [-np.sin(self.sigma[n_p]), np.cos(self.sigma[n_p])], + ], + [[self.xpt], [self.ypt]], + ) + + xr = xryr[0, 0] + yr = xryr[1, 0] + + xrpt = xryrpt[0, 0] + yrpt = xryrpt[1, 0] + + # Temperature matrix with boundary conditions ==================================== + T_novo = T_ref * np.ones((self.nN + 2, self.ntheta + 2)) + Tcomp = 1.2 * T_novo + + # Oil temperature field loop ================================================================ + while np.linalg.norm((T_novo - Tcomp) / np.linalg.norm(Tcomp)) > 0.01: + + nk = self.nZ * self.ntheta + vector_mi = np.zeros((3, self.nN)) + auxFF0P = np.zeros((self.nN + 2)) + auxFF1P = np.zeros((self.nN + 2)) + auxFF0E = np.zeros((self.nN + 2)) + auxFF1E = np.zeros((self.nN + 2)) + auxFF0W = np.zeros((self.nN + 2)) + auxFF1W = np.zeros((self.nN + 2)) + auxFF2P = np.zeros((self.nN + 2)) + auxFF2E = np.zeros((self.nN + 2)) + auxFF2W = np.zeros((self.nN + 2)) + xh = np.zeros((self.nX)) + yh = np.zeros((self.nX)) + hhh = np.zeros((nk, npad)) # oil film thickness + K_null = np.zeros((1, nk)) + Kij_null = np.zeros((self.nZ, self.ntheta)) + + mi = minovo + Tcomp = T_novo + + ki = 0 + kj = 0 + k = 0 # pressure vectorization index + nn = 0 -# optim values from legacy codes -x = np.array( - [ - 0.000401905634685165, - 0.000210288009621476, - 0.000136772568561263, - 0.000273217426488742, - 0.000537108459033454, - 0.000574699109242178, - ] -) + Mat_coef = np.zeros((nk, nk)) + b = np.zeros((nk)) -psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) -npad = 6 + # Mesh loop in Z direction ==================================================== + # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): + for ii in range(0, self.nZ): -# Radial clearance -Cr = 250e-6 + # Mesh loop in THETA direction ==================================================== + # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): + for jj in range(0, self.ntheta): -# Oil tank temperature -Tcuba = 40 + if kj == 0: + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj + 1, :] + vector_mi[2, :] = mi[ki, kj, :] -# Rotor center position -xx = E * Cr * np.cos(phi) -yy = E * Cr * np.sin(phi) -alphapt = 0 # * (2 * np.pi * 5) * alpha - - -# Geometric parameters for the bearing -------------------------------------------- - -# Journal radius -R = 0.5 * 930e-3 + if kj == self.ntheta - 1: + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj, :] + vector_mi[2, :] = mi[ki, kj - 1, :] -# Pad radius -Rs = 0.5 * 934e-3 # [m] - -# Pad thickness -esp = 67e-3 # [m] - -# Pad arc -betha_s = 25 # [degree] -betha_s = betha_s * (np.pi / 180) # [rad] - -# Pivot position (arc pivot/arc pad) -rp_pad = 0.6 - -# Bength of bearing -L = 197e-3 # [m] - -# Angular position of the pivot -sigma = np.array([0, 300, 60]) # [degree] -sigma = sigma * (np.pi / 180) # [rad] - -# Bearing loading -fR = 90.6e3 # [N] - -# Rotor speed -wa = 300 # [rpm] -war = wa * (np.pi / 30) # rad/s - -# Reference temperature -T_ref = Tcuba # [Celsius] - -# Thermal properties for the oil ---------------------------------------------------- - -# Thermal conductivity -kt = 0.07031 * np.exp(484.1 / (Tcuba + 273.15 + 474)) # [J/s.m.C] - -# Specific heat -Cp = (16.5 * np.exp(-2442 / (Tcuba + 273.15 + 829.1))) * 1e3 # [J/kgC] - -# Specific mass -rho = 0.04514 * np.exp(9103 / (Tcuba + 273.15 + 2766)) * 1e3 # [kg/m**2] - -# Reference viscosity -# mi_ref=0.0752 -mi_ref = 5.506e-09 * np.exp(5012 / (Tcuba + 273.15 + 0.1248)) # [N.s/m**2] - -# Bearing Position --------------------------------------------------------- - -# Rotor center velocity -xpt = -(2 * np.pi * 5) * yy -ypt = (2 * np.pi * 5) * xx - -# Discretized Mesh ------------------------------------------------------ + if kj > 0 and kj < self.ntheta - 1: + vector_mi[0, :] = mi[ki, kj, :] + vector_mi[1, :] = mi[ki, kj + 1, :] + vector_mi[2, :] = mi[ki, kj - 1, :] -# Number of volumes in theta direction -ntheta = 48 + for kk in range(1, self.nN + 1): -# Number of volumes in x direction -nX = ntheta + mi_adP = vector_mi[0, self.nN - nn - 1] / self.mi_ref + mi_adE = vector_mi[1, self.nN - nn - 1] / self.mi_ref + mi_adW = vector_mi[2, self.nN - nn - 1] / self.mi_ref -# Number of volumes in z direction -nZ = 48 + auxFF0P[nn + 1] = 1 / mi_adP + auxFF1P[nn + 1] = (self.dN * (-0.5 + kk)) / mi_adP + auxFF0E[nn + 1] = 1 / mi_adE + auxFF1E[nn + 1] = (self.dN * (-0.5 + kk)) / mi_adE + auxFF0W[nn + 1] = 1 / mi_adW + auxFF1W[nn + 1] = (self.dN * (-0.5 + kk)) / mi_adW -# Number of volumes in neta direction -nN = 30 + nn = nn + 1 -Z1 = 0 # initial coordinate z dimensionless -Z2 = 1 # final coordinate z dimensionless -dZ = 1 / (nZ) # differential z dimensionless -dz = dZ * L # differential z dimensional: [m] -XZ = np.zeros([nZ + 2]) -XZ[0] = Z1 -XZ[nZ + 1] = Z2 -XZ[1 : nZ + 1] = Z1 + np.arange(0.5 * dZ, Z2, dZ) # vector z dimensionless + nn = 0 -XZdim = XZ * L # vector z dimensional [m] + auxFF0P[0] = auxFF0P[1] + auxFF0P[self.nN + 1] = auxFF0P[self.nN] -N1 = 0 # initial coordinate netha dimensionless -N2 = 1 # final coordinate netha dimensionless -dN = 1 / (nN) # differential netha dimensionless + auxFF1P[0] = 0 + auxFF1P[self.nN + 1] = self.N2 / (vector_mi[0, self.nN - 1] / self.mi_ref) -netha = np.zeros([nN + 2]) -netha[0] = N1 -netha[nN + 1] = N2 -netha[1 : nN + 1] = N1 + np.arange(0.5 * dN, N2, dN) # vector netha dimensionless + auxFF0E[0] = auxFF0E[1] + auxFF0E[self.nN + 1] = auxFF0E[self.nN] -theta1 = -(rp_pad) * betha_s # initial coordinate theta [rad] -theta2 = (1 - rp_pad) * betha_s # final coordinate theta [rad] + auxFF1E[0] = 0 + auxFF1E[self.nN + 1] = self.N2 / (vector_mi[1, self.nN - 1] / self.mi_ref) -dtheta = betha_s / (ntheta) # differential theta [rad] -Xtheta = np.zeros([ntheta + 2]) -Xtheta[0] = theta1 -Xtheta[ntheta + 1] = theta2 -Xtheta[1 : ntheta + 1] = np.arange( - theta1 + 0.5 * dtheta, theta2, dtheta -) # vector theta [rad] + auxFF0W[0] = auxFF0W[1] + auxFF0W[self.nN + 1] = auxFF0W[self.nN] -dX = 1 / nX # differential x dimensionless -dx = dX * (betha_s * Rs) # differential x dimensional: [m] -XX = Xtheta * Rs # vector x dimensional: [m] + auxFF1W[0] = 0 + auxFF1W[self.nN + 1] = self.N2 / (vector_mi[2, self.nN - 1] / self.mi_ref) -# Pad recess -len_betha = 0.39 * betha_s # Pad Angle with recess -len_L = 0.71 * L # Bearing length with recess -center_pos_L = L / 2 -start_pos_betha = 0 * betha_s -drop_pressure_pos_L = np.array([center_pos_L - len_L / 2, center_pos_L + len_L / 2]) -drop_pressure_pos_betha = np.array([start_pos_betha, start_pos_betha + len_betha]) + # Numerical integration + FF0P = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) + ) + FF1P = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) + ) + FF0E = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) + ) + FF1E = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) + ) + FF0W = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) + ) + FF1W = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) + ) -drop_pressure_Ele_nZ = np.intersect1d( - np.where(XZdim > drop_pressure_pos_L[0]), np.where(XZdim < drop_pressure_pos_L[1]) -) -drop_pressure_Ele_ntetha = np.intersect1d( - np.where(Xtheta >= drop_pressure_pos_betha[0] + theta1), - np.where(Xtheta <= drop_pressure_pos_betha[1] + theta1), -) + FF0e = 0.5 * (FF0P + FF0E) + FF0w = 0.5 * (FF0P + FF0W) + FF1e = 0.5 * (FF1P + FF1E) + FF1w = 0.5 * (FF1P + FF1W) + + # Loop in N + # for kk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for kk in range(0, self.nN + 1): + + mi_adP = vector_mi[0, self.nN - nn - 1] / self.mi_ref + mi_adE = vector_mi[1, self.nN - nn - 1] / self.mi_ref + mi_adW = vector_mi[2, self.nN - nn - 1] / self.mi_ref + + auxFF2P[nn] = ((self.dN * (-0.5 + kk)) / mi_adP) * ( + (self.dN * (-0.5 + kk)) - FF1P / FF0P + ) + auxFF2E[nn] = ((self.dN * (-0.5 + kk)) / mi_adE) * ( + (self.dN * (-0.5 + kk)) - FF1E / FF0E + ) + auxFF2W[nn] = ((self.dN * (-0.5 + kk)) / mi_adW) * ( + (self.dN * (-0.5 + kk)) - FF1W / FF0W + ) + nn = nn + 1 + + nn = 0 + + auxFF2P[0] = 0 + auxFF2P[self.nN + 1] = (self.N2 / (vector_mi[0, self.nN - 1] / self.mi_ref)) * ( + self.N2 - FF1P / FF0P + ) -# Initial Parameters --------------------------------------------------------------- + auxFF2E[0] = 0 + auxFF2E[self.nN + 1] = (self.N2 / (vector_mi[1, self.nN - 1] / self.mi_ref)) * ( + self.N2 - FF1P / FF0P + ) -# Startup -npad = npad - 1 -Tmist = T_ref * np.ones((nN + 2)) + auxFF2W[0] = 0 + auxFF2W[self.nN + 1] = (self.N2 / (vector_mi[2, self.nN - 1] / self.mi_ref)) * ( + self.N2 - FF1P / FF0P + ) -# Initial viscosity field -minovo = mi_ref * np.ones((nZ, ntheta, nN)) + # integration process =================================================== + FF2P = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) + ) + FF2E = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) + ) + FF2W = 0.5 * np.sum( + (self.netha[1:] - self.netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) + ) -# Velocity field - 3D -vu = np.zeros((nZ, ntheta, nN)) -vv = np.zeros((nZ, ntheta, nN)) -vw = np.zeros((nZ, ntheta, nN)) + FF2e = 0.5 * (FF2P + FF2E) + FF2w = 0.5 * (FF2P + FF2W) + FF2n = FF2P + FF2s = FF2n + + # Admensional oil film thickness ======================================== + hP = ( + self.Rs + - self.R + - ( + np.sin(self.Xtheta[jj + 1]) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1]) * (xr + self.Rs - self.R - self.Cr) + ) + ) / self.Cr + he = ( + self.Rs + - self.R + - ( + np.sin(self.Xtheta[jj + 1] + 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1] + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + ) / self.Cr + hw = ( + self.Rs + - self.R + - ( + np.sin(self.Xtheta[jj + 1] - 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1] - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + ) / self.Cr + hn = hP + hs = hn + hpt = -(1 / (self.Cr * self.war)) * ( + np.cos(self.Xtheta[jj + 1]) * xrpt + + np.sin(self.Xtheta[jj + 1]) * yrpt + + np.sin(self.Xtheta[jj + 1]) * (self.Rs + self.esp) * self.alphapt + ) # admensional + + # Finite volume frontiers + CE = 1 / (self.betha_s) ** 2 * (FF2e * he ** 3) * self.dZ / self.dX + CW = 1 / (self.betha_s) ** 2 * (FF2w * hw ** 3) * self.dZ / self.dX + CN = (FF2n * hn ** 3) * (self.dX / self.dZ) * (self.Rs / self.L) ** 2 + CS = (FF2s * hs ** 3) * (self.dX / self.dZ) * (self.Rs / self.L) ** 2 + CP = -(CE + CW + CN + CS) + + B = (self.R / (self.Rs * self.betha_s)) * self.dZ * ( + he * (1 - FF1e / FF0e) - hw * (1 - FF1w / FF0w) + ) + hpt * self.dX * self.dZ + + b[k] = B + hhh[k, n_p] = hP * self.Cr + + # Mat_coef determination depending on its mesh localization + if ki == 0 and kj == 0: + Mat_coef[k, k] = CP - CN - CW + Mat_coef[k, k + 1] = CE + Mat_coef[k, k + self.ntheta] = CS + + if ki == 0 and kj > 0 and kj < self.nX - 1: + Mat_coef[k, k] = CP - CN + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k + self.ntheta] = CS + + if ki == 0 and kj == self.nX - 1: + Mat_coef[k, k] = CP - CE - CN + Mat_coef[k, k - 1] = CW + Mat_coef[k, k + self.ntheta] = CS + + if kj == 0 and ki > 0 and ki < self.nZ - 1: + Mat_coef[k, k] = CP - CW + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - self.ntheta] = CN + Mat_coef[k, k + self.ntheta] = CS + + if ki > 0 and ki < self.nZ - 1 and kj > 0 and kj < self.nX - 1: + Mat_coef[k, k] = CP + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - self.ntheta] = CN + Mat_coef[k, k + self.ntheta] = CS + Mat_coef[k, k + 1] = CE + + if kj == self.nX - 1 and ki > 0 and ki < self.nZ - 1: + Mat_coef[k, k] = CP - CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - self.ntheta] = CN + Mat_coef[k, k + self.ntheta] = CS + + if kj == 0 and ki == self.nZ - 1: + Mat_coef[k, k] = CP - CS - CW + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - self.ntheta] = CN + + if ki == self.nZ - 1 and kj > 0 and kj < self.nX - 1: + Mat_coef[k, k] = CP - CS + Mat_coef[k, k + 1] = CE + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - self.ntheta] = CN + + if ki == self.nZ - 1 and kj == self.nX - 1: + Mat_coef[k, k] = CP - CE - CS + Mat_coef[k, k - 1] = CW + Mat_coef[k, k - self.ntheta] = CN + + if ( + len(np.where(self.drop_pressure_Ele_nZ == ki + 1)[0]) == 0 + and len(np.where(self.drop_pressure_Ele_ntetha == kj + 1)[0]) == 0 + ): + K_null[0, k] = k + Kij_null[ki, kj - 2] = 1 + + kj = kj + 1 + k = k + 1 + # loop end + + kj = 0 + ki = ki + 1 + # loop end + + # Pressure field solution ============================================================== + + # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) + # cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) + # cc = cc_aux[1] + # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) + + p = np.linalg.solve(Mat_coef, b) + + cont = 0 + + # Matrix form of the pressure field ==================================================== + for i in range(0, self.nZ - 1): # Loop in Z + for j in range(0, self.ntheta - 1): # Loop in THETA + if ( + len(np.where(self.drop_pressure_Ele_nZ == i + 1)[0]) == 0 + and len(np.where(self.drop_pressure_Ele_ntetha == j + 1)[0]) == 0 + ): + P[i, j] = 0 + else: + + cont = cont + 1 + P[i, j] = p[cont] + + if P[i, j] < 0: + P[i, j] = 0 + + # Pressure border conditions ==================================================== + for i in range(0, self.nZ - 1): # Loop in Z + for j in range(0, self.ntheta - 1): # Loop in THETA + if P[i, j] < 0: + P[i, j] = 0 + + # Dimmensional pressure determination in Pascals + Pdim = (P * self.mi_ref * self.war * (self.Rs ** 2)) / (self.Cr ** 2) + + # Full pressure field with borders + PPdim = np.zeros((self.nZ + 1, self.ntheta + 1)) + + for i in range(0, self.nZ - 1): # Loop in Z + for j in range(0, self.ntheta - 1): # Loop in THETA + PPdim[i, j] = Pdim[i - 1, j - 1] + + # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% + + # Velocity field calculation + ki = 0 + kj = 0 + kk = 0 + nn = 0 -# Velocity field - 2D -Vu = np.zeros((nN, ntheta)) -Vv = np.zeros((nN, ntheta)) -Vw = np.zeros((nN, ntheta)) + # Dimensionless Netha loop ==================================================== + # for ky in range((N1 + 0.5 * self.dN), self.dN, (self.N2 - 0.5 * self.dN)): + for ky in range(0, self.nN - 1): + # Mesh loop in Z direction ==================================================== + # for ii in range((Z1 + 0.5 * self.dZ), self.dZ, (Z2 - 0.5 * self.dZ)): + for ii in range(0, self.nZ - 1): + # Mesh loop in THETA direction ==================================================== + # for jj in range((theta1 + 0.5 * self.dtheta), self.dtheta, (theta2 - 0.5 * self.dtheta)): + for jj in range(0, self.ntheta - 1): + + # Pressure gradients calculation + if ki == 0 and kj == 0: + dPdx = Pdim[ki, kj] / (0.5 * self.dx) + dPdz = Pdim[ki, kj] / (0.5 * self.dz) + + if ki == 0 and kj > 0: + dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / self.dx + dPdz = Pdim[ki, kj] / (0.5 * self.dz) + + if ki > 0 and kj == 0: + dPdx = Pdim[ki, kj] / (0.5 * self.dx) + dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / self.dz + + if ki > 0 and kj > 0: + dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / self.dx + dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / self.dz + + # Dimensional oil film thickness in Meters + h = ( + self.Rs + - self.R + - ( + np.sin(self.Xtheta[jj + 1]) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1]) * (xr + self.Rs - self.R - self.Cr) + ) + ) + + auxFF0 = np.zeros((self.netha.size)) + auxFF1 = np.zeros((self.netha.size)) + + # for contk in range(((N1 + 0.5 * self.dN) * h), (self.dN * h), ((self.N2 - (0.5 * self.dN)) * h)): + for contk in range(1, self.nN + 1): + nn = nn + 1 + auxFF0[nn] = 1 / mi[ki, kj, self.nN - 1 - nn] + auxFF1[nn] = (self.dN * (-0.5 + contk) * h) / mi[ki, kj, self.nN - 1 - nn] + nn = 0 + + auxFF0[0] = auxFF0[1] + auxFF0[self.nN + 1] = auxFF0[self.nN] + + auxFF1[0] = 0 + auxFF1[self.nN + 1] = (self.N2 * h) / mi[ki, kj, 1] + + ydim1 = h * self.netha + FF0 = 0.5 * np.sum( + (ydim1[1:] - ydim1[0:-1]) * (auxFF0[1:] + auxFF0[0:-1]) + ) + FF1 = 0.5 * np.sum( + (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) + ) + + # Auxiliary variable for counting + # aux_nN_num = ( + # abs( + # np.int( + # np.round( + # (abs((self.N1 + 0.5 * self.dN) * h) - abs(ky * h)) + # / abs(self.dN * h) + # ) + # ) + # ) + # + 2 + # ) + + # aux_nN = np.linspace( + # (ky * h), ((self.N1 + 0.5 * self.dN) * h), num=aux_nN_num + # ) + + # aux_N1_ky_num_1 = np.int(abs((abs(self.N1) - abs(ky)) / abs(self.dN))) + 2 + # aux_N1_ky_num_2 = np.linspace(self.N1, ky, num=aux_N1_ky_num_1) + + # Auxilary variables declaration/reset + auxG0 = np.zeros((self.netha.size)) + auxG1 = np.zeros((self.netha.size)) + ydim2 = np.zeros((self.netha.size)) + + # Counter reset + nn = 0 + + # for contk in range(((N1 + 0.5 * self.dN) * h), (self.dN * h), (ky * h)): + for contk in range(1, self.nN + 1): + nn = nn + 1 + # print(nn) + auxG0[nn] = 1 / mi[ki, kj, self.nN - 1 - nn] + auxG1[nn] = (self.dN * (-0.5 + contk) * h) / mi[ki, kj, self.nN - 1 - nn] + ydim2[nn] = self.dN * (-0.5 + contk) * h + + # Counter reset + nn = 0 + + auxG0[0] = auxG0[1] + auxG0[nN + 1] = auxG0[nN] + + auxG1[0] = 0 + auxG1[nN + 1] = (self.N2 * h) / mi[ki, kj, 1] + + G0 = 0.5 * np.sum( + (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) + ) + G1 = 0.5 * np.sum( + (ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1]) + ) + + # vu(ki,kj,kk)=dPdx*G1+(self.war*R/FF0-FF1/FF0*dPdx)*G0; + vu[ki, kj, kk] = dPdx * G1 + (self.war * self.R / FF0 - FF1 / FF0 * dPdx) * G0 + + # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; + vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 + + kj = kj + 1 + + kj = 0 + ki = ki + 1 + + ki = 0 + kk = kk + 1 + + # Radial speed calculation start ---------------------------------------------------- + nn = 0 + ki = 0 + kj = 0 + kk = 0 + + # Mesh loop in Z direction ==================================================== + # for ii in range((Z1 + 0.5 * self.dZ), self.dZ, (Z2 - 0.5 * self.dZ)): + for ii in range(0, self.nZ): + # Mesh loop in THETA direction ==================================================== + # for jj in range((theta1 + 0.5 * self.dtheta), self.dtheta, (theta2 - 0.5 * self.dtheta)): + for jj in range(0, self.ntheta): + + hpt = -( + np.cos(self.Xtheta[jj + 1]) * xrpt + + np.sin(self.Xtheta[jj + 1]) * yrpt + + np.sin(self.Xtheta[jj + 1]) * (self.Rs + self.esp) * self.alphapt + ) -# Pressure field -P = np.zeros((ntheta, ntheta)) -P1 = np.zeros((ntheta, ntheta, npad)) - -# Temperature field -T = np.zeros((nN, ntheta)) -T1 = np.zeros((nN, ntheta, npad)) - -# Field derivatives -dudx = np.zeros((nN + 2)) -dwdz = np.zeros((nN + 2)) - -# Other variables declarations -Mi = np.zeros((nN, nZ)) -YH = np.zeros((nN + 2, nX + 2, npad)) -XH = np.zeros((nN + 2, nX + 2)) - -fxj = np.zeros((npad)) -My = np.zeros((npad)) - -for ii in range(0, nX + 2): - XH[:, ii] = Xtheta[ii] - -# Loop on the pads ========================================================================== -for n_p in range(0, npad): - alpha = psi_pad[n_p] - - # transformation of coordinates - inertial to pivot referential - xryr = np.dot( - [ - [np.cos(sigma[n_p]), np.sin(sigma[n_p])], - [-np.sin(sigma[n_p]), np.cos(sigma[n_p])], - ], - [[xx], [yy]], - ) + if ki == 0 and kj == 0: + # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for contk in range(0, self.nN + 1): + dudx[nn] = 0 + dwdz[nn] = 0 + nn = nn + 1 + nn = 0 + + if ki == 0 and kj > 0: + # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for contk in range(0, self.nN + 1): + dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / self.dx + dwdz[nn] = 0 + nn = nn + 1 + nn = 0 + + if ki > 0 and kj == 0: + # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for contk in range(0, self.nN + 1): + dudx[nn] = 0 + dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / self.dz + nn = nn + 1 + nn = 0 + + if ki > 0 and ki < self.nN - 1 and kj > 0 and kj < self.nX - 1: + # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for contk in range(0, self.nN + 1): + dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / self.dx + dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / self.dz + nn = nn + 1 + nn = 0 + + dudx[0] = dudx[1] + dwdz[0] = dwdz[1] + dudx[self.nN + 1] = dudx[self.nN] + dwdz[self.nN + 1] = dwdz[self.nN] + + auxD = dudx + dwdz + + # intv=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxD(2:end)+auxD(1:end-1))); + intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) + + vv[ki, kj,] = ( + -intv + hpt + ) + kj = kj + 1 - xryrpt = np.dot( - [ - [np.cos(sigma[n_p]), np.sin(sigma[n_p])], - [-np.sin(sigma[n_p]), np.cos(sigma[n_p])], - ], - [[xpt], [ypt]], - ) + kj = 0 + ki = ki + 1 - xr = xryr[0, 0] - yr = xryr[1, 0] - - xrpt = xryrpt[0, 0] - yrpt = xryrpt[1, 0] - - # Temperature matrix with boundary conditions ==================================== - T_novo = T_ref * np.ones((nN + 2, ntheta + 2)) - Tcomp = 1.2 * T_novo - - # Oil temperature field loop ================================================================ - while np.linalg.norm((T_novo - Tcomp) / np.linalg.norm(Tcomp)) > 0.01: - - nk = nZ * ntheta - vector_mi = np.zeros((3, nN)) - auxFF0P = np.zeros((nN + 2)) - auxFF1P = np.zeros((nN + 2)) - auxFF0E = np.zeros((nN + 2)) - auxFF1E = np.zeros((nN + 2)) - auxFF0W = np.zeros((nN + 2)) - auxFF1W = np.zeros((nN + 2)) - auxFF2P = np.zeros((nN + 2)) - auxFF2E = np.zeros((nN + 2)) - auxFF2W = np.zeros((nN + 2)) - xh = np.zeros((nX)) - yh = np.zeros((nX)) - hhh = np.zeros((nk, npad)) # oil film thickness - K_null = np.zeros((1, nk)) - Kij_null = np.zeros((nZ, ntheta)) - - mi = minovo - Tcomp = T_novo - - ki = 0 - kj = 0 - k = 0 # pressure vectorization index - nn = 0 - - Mat_coef = np.zeros((nk, nk)) - b = np.zeros((nk)) - - # Mesh loop in Z direction ==================================================== - # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): - for ii in range(0, nZ): - - # Mesh loop in THETA direction ==================================================== - # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): - for jj in range(0, ntheta): - - if kj == 0: - vector_mi[0, :] = mi[ki, kj, :] - vector_mi[1, :] = mi[ki, kj + 1, :] - vector_mi[2, :] = mi[ki, kj, :] - - if kj == ntheta - 1: - vector_mi[0, :] = mi[ki, kj, :] - vector_mi[1, :] = mi[ki, kj, :] - vector_mi[2, :] = mi[ki, kj - 1, :] - - if kj > 0 and kj < ntheta - 1: - vector_mi[0, :] = mi[ki, kj, :] - vector_mi[1, :] = mi[ki, kj + 1, :] - vector_mi[2, :] = mi[ki, kj - 1, :] - - for kk in range(1, nN + 1): - - mi_adP = vector_mi[0, nN - nn - 1] / mi_ref - mi_adE = vector_mi[1, nN - nn - 1] / mi_ref - mi_adW = vector_mi[2, nN - nn - 1] / mi_ref - - auxFF0P[nn + 1] = 1 / mi_adP - auxFF1P[nn + 1] = (dN * (-0.5 + kk)) / mi_adP - auxFF0E[nn + 1] = 1 / mi_adE - auxFF1E[nn + 1] = (dN * (-0.5 + kk)) / mi_adE - auxFF0W[nn + 1] = 1 / mi_adW - auxFF1W[nn + 1] = (dN * (-0.5 + kk)) / mi_adW - - nn = nn + 1 + ki = 0 + ki = self.nN - 1 + for ii in range(0, self.nN - 1): + for jj in range(0, self.ntheta - 1): + Vu[ii, jj] = np.mean(vu[:, jj, ki]) + Vv[ii, jj] = np.mean(vv[:, jj, ki]) + Vw[ii, jj] = np.mean(vw[:, jj, ki]) - nn = 0 + ki = ki - 1 - auxFF0P[0] = auxFF0P[1] - auxFF0P[nN + 1] = auxFF0P[nN] + # Radial velocity calculation ending ------------------------------ + ksi1 = 0 + ksi2 = 1 - auxFF1P[0] = 0 - auxFF1P[nN + 1] = N2 / (vector_mi[0, nN - 1] / mi_ref) + ki = 0 + kj = 0 + dksi = self.dX + + for ii in range(0, self.nZ - 1): + for jj in range(0, self.nN - 1): + Mi[jj, ii] = mi[0, ii, jj] + + nk = self.nN * self.ntheta + Mat_coef = np.zeros((nk, nk)) + b = np.zeros((nk, 1)) + k = 0 + + # for ii in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): + for ii in range(0, self.nN): + + # for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): + # jj is equivalent to: dksi * (-0.5 + jj) + for jj in range(0, self.nX): + + # + theta = (-0.5 + (dksi * (+0.5 + jj))) * self.betha_s + HP = ( + self.Rs + - self.R + - ( + np.sin(theta) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(theta) * (xr + self.Rs - self.R - self.Cr) + ) + ) + He = ( + self.Rs + - self.R + - ( + np.sin(theta + 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(theta + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + ) + Hw = ( + self.Rs + - self.R + - ( + np.sin(theta - 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(theta - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + ) + Hn = HP + Hs = Hn + Hnw = Hw + Hsw = Hnw + + yh[kj] = HP + xh[kj] = theta + + JP = 1 / (self.betha_s * self.Rs * HP) + Je = 1 / (self.betha_s * self.Rs * He) + Jw = 1 / (self.betha_s * self.Rs * Hw) + Jn = 1 / (self.betha_s * self.Rs * Hn) + Js = 1 / (self.betha_s * self.Rs * Hs) + + if ki == 0 and kj == 0: + + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj] + uN = Vu[ki, kj] + uS = Vu[ki + 1, kj] + + vP = Vv[ki, kj] + vE = Vv[ki, kj + 1] + vW = Vv[ki, kj] + vN = Vv[ki, kj] + vS = Vv[ki + 1, kj] + + wP = Vw[ki, kj] + wE = Vw[ki, kj + 1] + wW = Vw[ki, kj] + wN = Vw[ki, kj] + wS = Vw[ki + 1, kj] + + if ki == 0 and kj > 0 and kj < self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki, kj] + uS = Vu[ki + 1, kj] + + if ki > 0 and ki < self.nN - 1 and kj == 0: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + if ki == self.nN - 1 and kj == 0: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki == 0 and kj == self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki, kj] + uS = Vu[ki + 1, kj] + + if ki > 0 and ki < self.nN - 1 and kj == self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + if ki == self.nN - 1 and kj == self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki == self.nN - 1 and kj > 0 and kj < self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki, kj] + + if ki > 0 and ki < self.nN - 1 and kj > 0 and kj < self.nX - 1: + uP = Vu[ki, kj] + uE = Vu[ki, kj + 1] + uW = Vu[ki, kj - 1] + uN = Vu[ki - 1, kj] + uS = Vu[ki + 1, kj] + + vP = Vv[ki, kj] + vE = Vv[ki, kj + 1] + vW = Vv[ki, kj - 1] + vN = Vv[ki - 1, kj] + vS = Vv[ki + 1, kj] + + wP = Vw[ki, kj] + wE = Vw[ki, kj + 1] + wW = Vw[ki, kj - 1] + wN = Vw[ki - 1, kj] + wS = Vw[ki + 1, kj] + + ue = 0.5 * (uP + uE) + uw = 0.5 * (uP + uW) + un = 0.5 * (uP + uN) + us = 0.5 * (uP + uS) + + ve = 0.5 * (vP + vE) + vw = 0.5 * (vP + vW) + vn = 0.5 * (vP + vN) + vs = 0.5 * (vP + vS) + + we = 0.5 * (wP + wE) + ww = 0.5 * (wP + wW) + wn = 0.5 * (wP + wN) + ws = 0.5 * (wP + wS) + + UP = hP * uP + Ue = He * ue + Uw = Hw * uw + + n_p = 1 - ((ii + 0.5) * self.dN) + ne = n_p + nw = n_p + nn = n_p + self.dN + ns = n_p - self.dN + + dhdksi_p = -self.betha_s * ( + np.cos(theta) * (yr + alpha * (self.Rs + self.esp)) + - np.sin(theta) * (xr + self.Rs - self.R - self.Cr) + - np.sin(theta) * (xr + self.Rs - self.R - self.Cr) + ) + dhdksi_e = -self.betha_s * ( + np.cos(theta + 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) + - np.sin(theta + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + dhdksi_w = -self.betha_s * ( + np.cos(theta - 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) + - np.sin(theta - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + ) + dhdksi_n = dhdksi_p + dhdksi_s = dhdksi_n - auxFF0E[0] = auxFF0E[1] - auxFF0E[nN + 1] = auxFF0E[nN] + VP = self.betha_s * self.Rs * vP - n_p * dhdksi_p * uP + Vn = self.betha_s * self.Rs * vn - nn * dhdksi_n * un + Vs = self.betha_s * self.Rs * vs - ns * dhdksi_s * us - auxFF1E[0] = 0 - auxFF1E[nN + 1] = N2 / (vector_mi[1, nN - 1] / mi_ref) + alpha11P = HP ** 2 + alpha11e = He ** 2 + alpha11w = Hw ** 2 - auxFF0W[0] = auxFF0W[1] - auxFF0W[nN + 1] = auxFF0W[nN] + alpha12P = -n_p * HP * dhdksi_p + alpha12e = -ne * He * dhdksi_e + alpha12w = -nw * Hw * dhdksi_w - auxFF1W[0] = 0 - auxFF1W[nN + 1] = N2 / (vector_mi[2, nN - 1] / mi_ref) + alpha21P = alpha12P + alpha21n = -nn * Hn * dhdksi_n + alpha21s = -ns * Hs * dhdksi_s - # Numerical integration - FF0P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) - ) - FF1P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) - ) - FF0E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) - ) - FF1E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) - ) - FF0W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) - ) - FF1W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) - ) + alpha22P = (self.betha_s * self.Rs) ** 2 + (n_p * dhdksi_p) ** 2 + alpha22n = (self.betha_s * self.Rs) ** 2 + (nn * dhdksi_n) ** 2 + alpha22s = (self.betha_s * self.Rs) ** 2 + (ns * dhdksi_s) ** 2 - FF0e = 0.5 * (FF0P + FF0E) - FF0w = 0.5 * (FF0P + FF0W) - FF1e = 0.5 * (FF1P + FF1E) - FF1w = 0.5 * (FF1P + FF1W) - - # Loop in N - # for kk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for kk in range(0, nN + 1): - - mi_adP = vector_mi[0, nN - nn - 1] / mi_ref - mi_adE = vector_mi[1, nN - nn - 1] / mi_ref - mi_adW = vector_mi[2, nN - nn - 1] / mi_ref - - auxFF2P[nn] = ((dN * (-0.5 + kk)) / mi_adP) * ( - (dN * (-0.5 + kk)) - FF1P / FF0P - ) - auxFF2E[nn] = ((dN * (-0.5 + kk)) / mi_adE) * ( - (dN * (-0.5 + kk)) - FF1E / FF0E - ) - auxFF2W[nn] = ((dN * (-0.5 + kk)) / mi_adW) * ( - (dN * (-0.5 + kk)) - FF1W / FF0W - ) - nn = nn + 1 + Me = rho * Ue * self.dN + Mw = rho * Uw * self.dN + Mn = rho * Vn * dksi + Ms = rho * Vs * dksi - nn = 0 + D11 = self.kt / self.Cp * JP * alpha11P * self.dN + D11e = self.kt / self.Cp * Je * alpha11e * self.dN + D11w = self.kt / self.Cp * Jw * alpha11w * self.dN - auxFF2P[0] = 0 - auxFF2P[nN + 1] = (N2 / (vector_mi[0, nN - 1] / mi_ref)) * ( - N2 - FF1P / FF0P - ) + D12 = self.kt / self.Cp * JP * alpha12P * self.dN + D12e = self.kt / self.Cp * Je * alpha12e * self.dN + D12w = self.kt / self.Cp * Jw * alpha12w * self.dN - auxFF2E[0] = 0 - auxFF2E[nN + 1] = (N2 / (vector_mi[1, nN - 1] / mi_ref)) * ( - N2 - FF1P / FF0P - ) + D21 = self.kt / self.Cp * JP * alpha21P * dksi + D21n = self.kt / self.Cp * Jn * alpha21n * dksi + D21s = self.kt / self.Cp * Js * alpha21s * dksi - auxFF2W[0] = 0 - auxFF2W[nN + 1] = (N2 / (vector_mi[2, nN - 1] / mi_ref)) * ( - N2 - FF1P / FF0P - ) + D22 = self.kt / self.Cp * JP * alpha22P * dksi + D22n = self.kt / self.Cp * Jn * alpha22n * dksi + D22s = self.kt / self.Cp * Js * alpha22s * dksi - # integration process =================================================== - FF2P = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) - ) - FF2E = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) - ) - FF2W = 0.5 * np.sum( - (netha[1:] - netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) - ) + # Interpolation coefficients - FF2e = 0.5 * (FF2P + FF2E) - FF2w = 0.5 * (FF2P + FF2W) - FF2n = FF2P - FF2s = FF2n - - # Admensional oil film thickness ======================================== - hP = ( - Rs - - R - - ( - np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) - ) - ) / Cr - he = ( - Rs - - R - - ( - np.sin(Xtheta[jj + 1] + 0.5 * dtheta) - * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1] + 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - ) / Cr - hw = ( - Rs - - R - - ( - np.sin(Xtheta[jj + 1] - 0.5 * dtheta) - * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1] - 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - ) / Cr - hn = hP - hs = hn - hpt = -(1 / (Cr * war)) * ( - np.cos(Xtheta[jj + 1]) * xrpt - + np.sin(Xtheta[jj + 1]) * yrpt - + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt - ) # admensional - - # Finite volume frontiers - CE = 1 / (betha_s) ** 2 * (FF2e * he ** 3) * dZ / dX - CW = 1 / (betha_s) ** 2 * (FF2w * hw ** 3) * dZ / dX - CN = (FF2n * hn ** 3) * (dX / dZ) * (Rs / L) ** 2 - CS = (FF2s * hs ** 3) * (dX / dZ) * (Rs / L) ** 2 - CP = -(CE + CW + CN + CS) - - B = (R / (Rs * betha_s)) * dZ * ( - he * (1 - FF1e / FF0e) - hw * (1 - FF1w / FF0w) - ) + hpt * dX * dZ - - b[k] = B - hhh[k, n_p] = hP * Cr - - # Mat_coef determination depending on its mesh localization - if ki == 0 and kj == 0: - Mat_coef[k, k] = CP - CN - CW - Mat_coef[k, k + 1] = CE - Mat_coef[k, k + ntheta] = CS - - if ki == 0 and kj > 0 and kj < nX - 1: - Mat_coef[k, k] = CP - CN - Mat_coef[k, k + 1] = CE - Mat_coef[k, k - 1] = CW - Mat_coef[k, k + ntheta] = CS - - if ki == 0 and kj == nX - 1: - Mat_coef[k, k] = CP - CE - CN - Mat_coef[k, k - 1] = CW - Mat_coef[k, k + ntheta] = CS - - if kj == 0 and ki > 0 and ki < nZ - 1: - Mat_coef[k, k] = CP - CW - Mat_coef[k, k + 1] = CE - Mat_coef[k, k - ntheta] = CN - Mat_coef[k, k + ntheta] = CS - - if ki > 0 and ki < nZ - 1 and kj > 0 and kj < nX - 1: - Mat_coef[k, k] = CP - Mat_coef[k, k - 1] = CW - Mat_coef[k, k - ntheta] = CN - Mat_coef[k, k + ntheta] = CS - Mat_coef[k, k + 1] = CE - - if kj == nX - 1 and ki > 0 and ki < nZ - 1: - Mat_coef[k, k] = CP - CE - Mat_coef[k, k - 1] = CW - Mat_coef[k, k - ntheta] = CN - Mat_coef[k, k + ntheta] = CS - - if kj == 0 and ki == nZ - 1: - Mat_coef[k, k] = CP - CS - CW - Mat_coef[k, k + 1] = CE - Mat_coef[k, k - ntheta] = CN - - if ki == nZ - 1 and kj > 0 and kj < nX - 1: - Mat_coef[k, k] = CP - CS - Mat_coef[k, k + 1] = CE - Mat_coef[k, k - 1] = CW - Mat_coef[k, k - ntheta] = CN - - if ki == nZ - 1 and kj == nX - 1: - Mat_coef[k, k] = CP - CE - CS - Mat_coef[k, k - 1] = CW - Mat_coef[k, k - ntheta] = CN - - if ( - len(np.where(drop_pressure_Ele_nZ == ki + 1)[0]) == 0 - and len(np.where(drop_pressure_Ele_ntetha == kj + 1)[0]) == 0 - ): - K_null[0, k] = k - Kij_null[ki, kj - 2] = 1 - - kj = kj + 1 - k = k + 1 - # loop end - - kj = 0 - ki = ki + 1 - # loop end - - # Pressure field solution ============================================================== - - # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - # cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) - # cc = cc_aux[1] - # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) - - p = np.linalg.solve(Mat_coef, b) - - cont = 0 - - # Matrix form of the pressure field ==================================================== - for i in range(0, nZ - 1): # Loop in Z - for j in range(0, ntheta - 1): # Loop in THETA - if ( - len(np.where(drop_pressure_Ele_nZ == i + 1)[0]) == 0 - and len(np.where(drop_pressure_Ele_ntetha == j + 1)[0]) == 0 - ): - P[i, j] = 0 - else: - - cont = cont + 1 - P[i, j] = p[cont] - - if P[i, j] < 0: - P[i, j] = 0 - - # Pressure border conditions ==================================================== - for i in range(0, nZ - 1): # Loop in Z - for j in range(0, ntheta - 1): # Loop in THETA - if P[i, j] < 0: - P[i, j] = 0 - - # Dimmensional pressure determination in Pascals - Pdim = (P * mi_ref * war * (Rs ** 2)) / (Cr ** 2) - - # Full pressure field with borders - PPdim = np.zeros((nZ + 1, ntheta + 1)) - - for i in range(0, nZ - 1): # Loop in Z - for j in range(0, ntheta - 1): # Loop in THETA - PPdim[i, j] = Pdim[i - 1, j - 1] - - # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% - - # Velocity field calculation - ki = 0 - kj = 0 - kk = 0 - nn = 0 - - # Dimensionless Netha loop ==================================================== - # for ky in range((N1 + 0.5 * dN), dN, (N2 - 0.5 * dN)): - for ky in range(0, nN - 1): - # Mesh loop in Z direction ==================================================== - # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): - for ii in range(0, nZ - 1): - # Mesh loop in THETA direction ==================================================== - # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): - for jj in range(0, ntheta - 1): - - # Pressure gradients calculation - if ki == 0 and kj == 0: - dPdx = Pdim[ki, kj] / (0.5 * dx) - dPdz = Pdim[ki, kj] / (0.5 * dz) - - if ki == 0 and kj > 0: - dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx - dPdz = Pdim[ki, kj] / (0.5 * dz) - - if ki > 0 and kj == 0: - dPdx = Pdim[ki, kj] / (0.5 * dx) - dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz - - if ki > 0 and kj > 0: - dPdx = (Pdim[ki, kj] - Pdim[ki, kj - 1]) / dx - dPdz = (Pdim[ki, kj] - Pdim[ki - 1, kj]) / dz - - # Dimensional oil film thickness in Meters - h = ( - Rs - - R - - ( - np.sin(Xtheta[jj + 1]) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta[jj + 1]) * (xr + Rs - R - Cr) - ) - ) - - auxFF0 = np.zeros((netha.size)) - auxFF1 = np.zeros((netha.size)) - - # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h)): - for contk in range(1, nN + 1): - nn = nn + 1 - auxFF0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - auxFF1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] - nn = 0 - - auxFF0[0] = auxFF0[1] - auxFF0[nN + 1] = auxFF0[nN] - - auxFF1[0] = 0 - auxFF1[nN + 1] = (N2 * h) / mi[ki, kj, 1] - - ydim1 = h * netha - FF0 = 0.5 * np.sum( - (ydim1[1:] - ydim1[0:-1]) * (auxFF0[1:] + auxFF0[0:-1]) - ) - FF1 = 0.5 * np.sum( - (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) - ) - - # # Auxiliary variable for counting - # aux_nN_num = ( - # abs( - # np.int( - # np.round( - # (abs((N1 + 0.5 * dN) * h) - abs(ky * h)) - # / abs(dN * h) - # ) - # ) - # ) - # + 2 - # ) - # - # aux_nN = np.linspace( - # (ky * h), ((N1 + 0.5 * dN) * h), num=aux_nN_num - # ) - # - # aux_N1_ky_num_1 = np.int(abs((abs(N1) - abs(ky)) / abs(dN))) + 2 - # aux_N1_ky_num_2 = np.linspace(N1, ky, num=aux_N1_ky_num_1) - # - # # Auxilary variables declaration/reset - # auxG0 = np.zeros([aux_N1_ky_num_2.size]) - # auxG1 = np.zeros([aux_N1_ky_num_2.size]) - # ydim2 = np.zeros([aux_N1_ky_num_2.size]) - # - ## Counter reset - # nn = 0 - # - ## for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - # for contk in range(0, aux_nN.size - 1): - # print(nn) - # auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - # auxG1[nn] = aux_nN[nn] / mi[ki, kj, nN - 1 - nn] - # ydim2[nn] = aux_nN[nn] - # nn = nn + 1 - # print(nn) - - auxG0 = np.zeros((netha.size)) - auxG1 = np.zeros((netha.size)) - ydim2 = np.zeros((netha.size)) - - ## for contk in range(((N1 + 0.5 * dN) * h), (dN * h), ((N2 - (0.5 * dN)) * h)): - # for contk in range(1, nN + 1): - # nn = nn + 1 - # auxFF0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - # auxFF1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] - # nn = 0 - # - # auxFF0[0] = auxFF0[1] - # auxFF0[nN + 1] = auxFF0[nN] - # - # auxFF1[0] = 0 - # auxFF1[nN + 1] = (N2 * h) / mi[ki, kj, 1] - # - # ydim1 = h * netha - - # for contk in range(((N1 + 0.5 * dN) * h), (dN * h), (ky * h)): - for contk in range(1, nN + 1): - nn = nn + 1 - print(nn) - auxG0[nn] = 1 / mi[ki, kj, nN - 1 - nn] - auxG1[nn] = (dN * (-0.5 + contk) * h) / mi[ki, kj, nN - 1 - nn] - ydim2[nn] = dN * (-0.5 + contk) * h - - # Counter reset - nn = 0 - - auxG0[0] = auxG0[1] - auxG0[nN + 1] = auxG0[nN] - - auxG1[0] = 0 - auxG1[nN + 1] = (N2 * h) / mi[ki, kj, 1] - - G0 = 0.5 * np.sum( - (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) - ) - G1 = 0.5 * np.sum( - (ydim2[1:] - ydim2[0:-1]) * (auxG1[1:] + auxG1[0:-1]) - ) - - # vu(ki,kj,kk)=dPdx*G1+(war*R/FF0-FF1/FF0*dPdx)*G0; - vu[ki, kj, kk] = dPdx * G1 + (war * R / FF0 - FF1 / FF0 * dPdx) * G0 - - # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; - vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 - - kj = kj + 1 + Pee = self.rho * uE * self.Cp * self.dtheta * self.Rs / self.kt # Peclet's number + Pew = self.rho * uW * self.Cp * self.dtheta * self.Rs / self.kt - kj = 0 - ki = ki + 1 - - ki = 0 - kk = kk + 1 - - # Radial speed calculation start ---------------------------------------------------- - nn = 0 - ki = 0 - kj = 0 - kk = 0 - - # Mesh loop in Z direction ==================================================== - # for ii in range((Z1 + 0.5 * dZ), dZ, (Z2 - 0.5 * dZ)): - for ii in range(0, nZ): - # Mesh loop in THETA direction ==================================================== - # for jj in range((theta1 + 0.5 * dtheta), dtheta, (theta2 - 0.5 * dtheta)): - for jj in range(0, ntheta): - - hpt = -( - np.cos(Xtheta[jj + 1]) * xrpt - + np.sin(Xtheta[jj + 1]) * yrpt - + np.sin(Xtheta[jj + 1]) * (Rs + esp) * alphapt - ) + Pen = self.rho * uN * self.Cp * self.dtheta * self.Rs / self.kt + Pes = self.rho * uS * self.Cp * self.dtheta * self.Rs / self.kt - if ki == 0 and kj == 0: - # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for contk in range(0, nN + 1): - dudx[nn] = 0 - dwdz[nn] = 0 - nn = nn + 1 - nn = 0 - - if ki == 0 and kj > 0: - # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for contk in range(0, nN + 1): - dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / dx - dwdz[nn] = 0 - nn = nn + 1 - nn = 0 - - if ki > 0 and kj == 0: - # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for contk in range(0, nN + 1): - dudx[nn] = 0 - dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / dz - nn = nn + 1 - nn = 0 - - if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: - # for contk in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for contk in range(0, nN + 1): - dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / dx - dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / dz - nn = nn + 1 - nn = 0 - - dudx[0] = dudx[1] - dwdz[0] = dwdz[1] - dudx[nN + 1] = dudx[nN] - dwdz[nN + 1] = dwdz[nN] - - auxD = dudx + dwdz - - # intv=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxD(2:end)+auxD(1:end-1))); - intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) - - vv[ki, kj,] = ( - -intv + hpt - ) - kj = kj + 1 + a_pe = Pee ** 2 / (10 + 2 * Pee ** 2) + b_pe = (1 + 0.005 * Pee ** 2) / (1 + 0.05 * Pee ** 2) - kj = 0 - ki = ki + 1 + a_pw = Pew ** 2 / (10 + 2 * Pew ** 2) + b_pw = (1 + 0.005 * Pew ** 2) / (1 + 0.05 * Pew ** 2) - ki = 0 - ki = nN - 1 - for ii in range(0, nN - 1): - for jj in range(0, ntheta - 1): - Vu[ii, jj] = np.mean(vu[:, jj, ki]) - Vv[ii, jj] = np.mean(vv[:, jj, ki]) - Vw[ii, jj] = np.mean(vw[:, jj, ki]) + a_sw = Pes ** 2 / (10 + 2 * Pes ** 2) + b_sw = (1 + 0.005 * Pes ** 2) / (1 + 0.05 * Pes ** 2) - ki = ki - 1 + a_nw = Pen ** 2 / (10 + 2 * Pen ** 2) + b_nw = (1 + 0.005 * Pen ** 2) / (1 + 0.05 * Pen ** 2) - # Radial velocity calculation ending ------------------------------ - ksi1 = 0 - ksi2 = 1 + a_pn = 0 # Central differences + b_pn = 1 - ki = 0 - kj = 0 - dksi = dX + a_ps = 0 + b_ps = 1 - for ii in range(0, nZ - 1): - for jj in range(0, nN - 1): - Mi[jj, ii] = mi[0, ii, jj] + Ae = Me * (0.5 - a_pe) - D11e / dksi * b_pe - (D21n - D21s) / (4 * dksi) + Aw = ( + -Mw * (0.5 + a_pw) - D11w / dksi * b_pw + (D21n - D21s) / (4 * dksi) + ) + An = Mn * (0.5 - a_pn) - D22n / self.dN * b_pn - (D12e - D12w) / (4 * self.dN) + As = -Ms * (0.5 + a_ps) - D22s / self.dN * b_ps - (D12w - D12e) / (4 * self.dN) + Ane = -D12e / (4 * self.dN) - D21n / (4 * dksi) + Ase = D12e / (4 * self.dN) + D21s / (4 * dksi) + Anw = D12w / (4 * self.dN) + D21n / (4 * dksi) + Asw = -D12w / (4 * self.dN) - D21s / (4 * dksi) + Ap = -(Ae + Aw + An + As + Ane + Ase + Anw + Asw) + + up_a = uP / (self.R * self.war) + uw_a = uW / (self.R * self.war) + ue_a = uE / (self.R * self.war) + us_a = uS / (self.R * self.war) + un_a = uN / (self.R * self.war) + + vp_a = vP / (self.R * self.war) + vw_a = vW / (self.R * self.war) + ve_a = vE / (self.R * self.war) + vs_a = vS / (self.R * self.war) + vn_a = vN / (self.R * self.war) + + wp_a = wP / (self.R * self.war) + ww_a = wW / (self.R * self.war) + we_a = wE / (self.R * self.war) + ws_a = wS / (self.R * self.war) + wn_a = wN / (self.R * self.war) + + fdiss = 2 * ( + ( + self.Cr * hP * (up_a - uw_a) / dksi + - n_p * self.Cr * dhdksi_p * (up_a - us_a) / self.dN + ) + ** 2 + + (self.betha_s * self.Rs * (vn_a - vp_a) / self.dN) ** 2 + + ( + self.betha_s * self.Rs * (up_a - us_a) / self.dN + + self.Cr * hP * (vp_a - vw_a) / dksi + - n_p * self.Cr * dhdksi_p * (vp_a - vs_a) / dksi + ) + ** 2 + + ( + self.Cr * hP * (wp_a - ww_a) / dksi + - n_p * self.Cr * dhdksi_p * (wp_a - ws_a) / self.dN + ) + ** 2 + + (self.betha_s * self.Rs * (wp_a - ws_a) / dksi) ** 2 + ) + + # Source term ---------------- + Bp = JP * ((self.war * self.R) ** 2) * Mi[ki, kj] / self.Cp * self.dN * dksi * fdiss + + # Vectorizing + k = k + 1 + + b[k - 1, 0] = Bp + + if ki == 0 and kj == 0: + Mat_coef[k - 1, k - 1] = Ap + An - Aw + Mat_coef[k - 1, k] = Ae + Ane + Mat_coef[k - 1, k - 1 + self.ntheta] = As - Asw + Mat_coef[k - 1, k + self.ntheta] = Ase + b[k - 1, 0] = ( + b[k - 1, 0] + - 2 * (Aw * Tmist[ki] + Asw * Tmist[ki + 1]) + - Anw * (Tmist[ki-1]) + ) + + if ki == 0 and kj > 0 and kj < self.nX - 1: + Mat_coef[k - 1, k - 1] = Ap + An + Mat_coef[k - 1, k] = Ae + Ane + Mat_coef[k - 1, k - 2] = Aw + Anw + Mat_coef[k - 1, k + self.ntheta - 1] = As + Mat_coef[k - 1, k + self.ntheta] = Ase + Mat_coef[k - 1, k + self.ntheta - 2] = Asw + + if ki == 0 and kj == self.nX: + Mat_coef[k - 1, k - 1] = Ap + An + Ane + Ae + Mat_coef[k - 1, k - 2] = Aw + Anw + Mat_coef[k - 1, k + self.ntheta - 1] = As + Ase + Mat_coef[k - 1, k + self.ntheta - 2] = Asw + + if kj == 0 and ki > 0 and ki < self.nN - 1: + Mat_coef[k - 1, k - 1] = Ap - Aw + Mat_coef[k - 1, k] = Ae + Mat_coef[k - 1, k + self.ntheta - 1] = As - Asw + Mat_coef[k - 1, k - self.ntheta - 1] = An - Anw + Mat_coef[k - 1, k + self.ntheta] = Ase + Mat_coef[k - 1, k - self.ntheta] = Ane + b[k - 1, 0] = ( + b[k - 1, 0] + - 2 * Tmist[ki - 2] * Anw + - 2 * Tmist[ki] * Aw + - 2 * Tmist[ki + 1] * Asw + ) + + if ki > 0 and ki < self.nN - 1 and kj > 0 and kj < self.nX - 1: + Mat_coef[k - 1, k - 1] = Ap + Mat_coef[k - 1, k] = Ae + Mat_coef[k - 1, k - 2] = Aw + Mat_coef[k - 1, k + self.ntheta - 1] = As + Mat_coef[k - 1, k - self.ntheta - 1] = An + Mat_coef[k - 1, k + self.ntheta] = Ase + Mat_coef[k - 1, k + self.ntheta - 2] = Asw + Mat_coef[k - 1, k - self.ntheta] = Ane + Mat_coef[k - 1, k - self.ntheta - 2] = Anw + + if kj == self.nX - 1 and ki > 0 and ki < self.nN - 1: + Mat_coef[k - 1, k - 1] = Ap + Ae + Mat_coef[k - 1, k - 2] = Aw + Mat_coef[k - 1, k + self.ntheta - 1] = As + Ase + Mat_coef[k - 1, k - self.ntheta - 1] = An + Ane + Mat_coef[k - 1, k + self.ntheta - 2] = Asw + Mat_coef[k - 1, k - self.ntheta - 2] = Anw + + if kj == 0 and ki == self.nN - 1: + Mat_coef[k - 1, k - 1] = Ap + As - Aw + Mat_coef[k - 1, k] = Ae + Ase + Mat_coef[k - 1, k - self.ntheta - 1] = An - Anw + Mat_coef[k - 1, k - self.ntheta] = Ane + b[k - 1, 0] = ( + b[k - 1, 0] + - 2 * Tmist[ki] * Aw + - 2 * Tmist[ki-1] * Anw + - Tmist[ki + 1] * Asw + ) + + if ki == self.nN - 1 and kj > 0 and kj < self.nX - 1: + Mat_coef[k - 1, k - 1] = Ap + As + Mat_coef[k - 1, k] = Ae + Ase + Mat_coef[k - 1, k - 2] = Aw + Asw + Mat_coef[k - 1, k - self.ntheta - 1] = An + Mat_coef[k - 1, k - self.ntheta] = Ane + Mat_coef[k - 1, k - self.ntheta - 2] = Anw + + if ki == self.nN - 1 and kj == self.nX - 1: + Mat_coef[k - 1, k - 1] = Ap + As + Ae + Ase + Mat_coef[k - 1, k - 2] = Aw + Asw + Mat_coef[k - 1, k - self.ntheta - 1] = An + Ane + Mat_coef[k - 1, k - self.ntheta - 2] = Anw + + kj = kj + 1 + + kj = 0 + ki = ki + 1 + + ki = 0 + nn = 0 - nk = nN * ntheta - Mat_coef = np.zeros((nk, nk)) - b = np.zeros((nk, 1)) - k = 0 + t = np.linalg.solve(Mat_coef, b) # vectorized temperature field calculation - # for ii in range(N1 + 0.5 * dN, dN, N2 - 0.5 * dN): - for ii in range(0, nN): + # Temperature matrix ---------------------- + cont = 0 - # for jj in range(ksi1 + 0.5 * dksi, dksi, ksi2 - 0.5 * dksi): - # jj is equivalent to: dksi * (-0.5 + jj) - for jj in range(0, nX): + for i in range(0, self.nN): + for j in range(0, self.nX): + T[i, j] = t[cont] + cont = cont + 1 + # Viscosity equation ======================================================================== + # VG68 - Polynomial adjustment using predetermined values # - theta = (-0.5 + (dksi * (+0.5 + jj))) * betha_s - HP = ( - Rs - - R - - ( - np.sin(theta) * (yr + alpha * (Rs + esp)) - + np.cos(theta) * (xr + Rs - R - Cr) - ) + # Via Oil_Regression_Analyses.m and propvalue.m the equation coefficients + # are obtained for the regression on the viscosity determination as a + # function of the temperature. + + # 3D temperature field ----------------------------------------------------- + TT = np.zeros(self.nZ, self.nX, self.nN) + for k in range(0, self.nN): + for j in range(0, self.nX): + TT[:, j, k] = T[k, j] + + # Regression equation coefficients + a = 5.506e-09 + b = 5012 + c = 0.1248 + minovo = a * np.exp(b / (TT + 273.15 + c)) + k = 0 + + # Full temperature matrix, including borders + for i in range(1, self.nN): + for j in range(1, self.ntheta): + T_novo[i, j] = T[i - 1, j - 1] + + T_novo[0,] = T_novo[ + 1, + ] + T_novo[self.nN + 1,] = T_novo[ + self.nN, + ] + T_novo[1:self.nN, 0] = Tmist[1, self.nN] + T_novo[:, self.nX + 1] = T_novo[:, self.nX] + + # WHILE ENDS HERE ========================================================== + + T1[:, :, n_p] = T_novo + P1[:, :, n_p] = PPdim + + yh = ( + self.Rs + - self.R + - ( + np.sin(self.Xtheta) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta) * (xr + self.Rs - self.R - self.Cr) ) - He = ( - Rs - - R - - ( - np.sin(theta + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(theta + 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - ) - Hw = ( - Rs - - R - - ( - np.sin(theta - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - + np.cos(theta - 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - ) - Hn = HP - Hs = Hn - Hnw = Hw - Hsw = Hnw - - yh[kj] = HP - xh[kj] = theta - - JP = 1 / (betha_s * Rs * HP) - Je = 1 / (betha_s * Rs * He) - Jw = 1 / (betha_s * Rs * Hw) - Jn = 1 / (betha_s * Rs * Hn) - Js = 1 / (betha_s * Rs * Hs) - - if ki == 0 and kj == 0: - - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj] - uN = Vu[ki, kj] - uS = Vu[ki + 1, kj] - - vP = Vv[ki, kj] - vE = Vv[ki, kj + 1] - vW = Vv[ki, kj] - vN = Vv[ki, kj] - vS = Vv[ki + 1, kj] - - wP = Vw[ki, kj] - wE = Vw[ki, kj + 1] - wW = Vw[ki, kj] - wN = Vw[ki, kj] - wS = Vw[ki + 1, kj] - - if ki == 0 and kj > 0 and kj < nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj - 1] - uN = Vu[ki, kj] - uS = Vu[ki + 1, kj] - - if ki > 0 and ki < nN - 1 and kj == 0: - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj] - uN = Vu[ki - 1, kj] - uS = Vu[ki + 1, kj] - - if ki == nN - 1 and kj == 0: - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj] - uN = Vu[ki - 1, kj] - uS = Vu[ki, kj] - - if ki == 0 and kj == nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj] - uW = Vu[ki, kj - 1] - uN = Vu[ki, kj] - uS = Vu[ki + 1, kj] - - if ki > 0 and ki < nN - 1 and kj == nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj] - uW = Vu[ki, kj - 1] - uN = Vu[ki - 1, kj] - uS = Vu[ki + 1, kj] - - if ki == nN - 1 and kj == nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj] - uW = Vu[ki, kj - 1] - uN = Vu[ki - 1, kj] - uS = Vu[ki, kj] - - if ki == nN - 1 and kj > 0 and kj < nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj - 1] - uN = Vu[ki - 1, kj] - uS = Vu[ki, kj] - - if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: - uP = Vu[ki, kj] - uE = Vu[ki, kj + 1] - uW = Vu[ki, kj - 1] - uN = Vu[ki - 1, kj] - uS = Vu[ki + 1, kj] - - vP = Vv[ki, kj] - vE = Vv[ki, kj + 1] - vW = Vv[ki, kj - 1] - vN = Vv[ki - 1, kj] - vS = Vv[ki + 1, kj] - - wP = Vw[ki, kj] - wE = Vw[ki, kj + 1] - wW = Vw[ki, kj - 1] - wN = Vw[ki - 1, kj] - wS = Vw[ki + 1, kj] - - ue = 0.5 * (uP + uE) - uw = 0.5 * (uP + uW) - un = 0.5 * (uP + uN) - us = 0.5 * (uP + uS) - - ve = 0.5 * (vP + vE) - vw = 0.5 * (vP + vW) - vn = 0.5 * (vP + vN) - vs = 0.5 * (vP + vS) - - we = 0.5 * (wP + wE) - ww = 0.5 * (wP + wW) - wn = 0.5 * (wP + wN) - ws = 0.5 * (wP + wS) - - UP = hP * uP - Ue = He * ue - Uw = Hw * uw - - n_p = 1 - ((ii + 0.5) * dN) - ne = n_p - nw = n_p - nn = n_p + dN - ns = n_p - dN - - dhdksi_p = -betha_s * ( - np.cos(theta) * (yr + alpha * (Rs + esp)) - - np.sin(theta) * (xr + Rs - R - Cr) - ) - dhdksi_e = -betha_s * ( - np.cos(theta + 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - - np.sin(theta + 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - dhdksi_w = -betha_s * ( - np.cos(theta - 0.5 * dtheta) * (yr + alpha * (Rs + esp)) - - np.sin(theta - 0.5 * dtheta) * (xr + Rs - R - Cr) - ) - dhdksi_n = dhdksi_p - dhdksi_s = dhdksi_n + ) + for jj in range(0, self.nX + 1): + YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh[jj], self.nN + 2)) - VP = betha_s * Rs * vP - n_p * dhdksi_p * uP - Vn = betha_s * Rs * vn - nn * dhdksi_n * un - Vs = betha_s * Rs * vs - ns * dhdksi_s * us + # Integration of pressure field - HydroForces + auxF = np.array([np.cos(self.Xtheta[0:-1]), np.sin(self.Xtheta[0:-1])]) + dA = self.dx * self.dz - alpha11P = HP ** 2 - alpha11e = He ** 2 - alpha11w = Hw ** 2 + auxP = P1[1:-1, 1:-1, n_p] * dA - alpha12P = -n_p * HP * dhdksi_p - alpha12e = -ne * He * dhdksi_e - alpha12w = -nw * Hw * dhdksi_w + vector_auxF_x = auxF[ + 0, + ] + vector_auxF_y = auxF[ + 1, + ] - alpha21P = alpha12P - alpha21n = -nn * Hn * dhdksi_n - alpha21s = -ns * Hs * dhdksi_s + auxFx = auxP * vector_auxF_x.T + auxFy = auxP * vector_auxF_y.T - alpha22P = (betha_s * Rs) ** 2 + (n_p * dhdksi_p) ** 2 - alpha22n = (betha_s * Rs) ** 2 + (nn * dhdksi_n) ** 2 - alpha22s = (betha_s * Rs) ** 2 + (ns * dhdksi_s) ** 2 + fxj[n_p] = -np.sum(auxFx) + fyj = -np.sum(auxFy) - Me = rho * Ue * dN - Mw = rho * Uw * dN - Mn = rho * Vn * dksi - Ms = rho * Vs * dksi + My[n_p] = fyj * (self.Rs + self.esp) - D11 = kt / Cp * JP * alpha11P * dN - D11e = kt / Cp * Je * alpha11e * dN - D11w = kt / Cp * Jw * alpha11w * dN + if fxj[n_p] >= -1: + My[n_p] = 10e6 - D12 = kt / Cp * JP * alpha12P * dN - D12e = kt / Cp * Je * alpha12e * dN - D12w = kt / Cp * Jw * alpha12w * dN - D21 = kt / Cp * JP * alpha21P * dksi - D21n = kt / Cp * Jn * alpha21n * dksi - D21s = kt / Cp * Js * alpha21s * dksi + # END PADS FOR LOOP =============================================================== - D22 = kt / Cp * JP * alpha22P * dksi - D22n = kt / Cp * Jn * alpha22n * dksi - D22s = kt / Cp * Js * alpha22s * dksi + score[0] = My[0] + score[1] = My[1] + score[2] = My[2] + score[3] = My[3] + score[4] = My[4] + score[5] = My[5] - # Interpolation coefficients - - Pee = rho * uE * Cp * dtheta * Rs / kt # Peclet's number - Pew = rho * uW * Cp * dtheta * Rs / kt - - Pen = rho * uN * Cp * dtheta * Rs / kt - Pes = rho * uS * Cp * dtheta * Rs / kt + # hydrodynamic forces + Fhx = ( + fxj[0] * np.cos(self.psi_pad[0] + self.sigma[0]) + + fxj[1] * np.cos(self.psi_pad[1] + self.sigma[1]) + + fxj[2] * np.cos(self.psi_pad[2] + self.sigma[2]) + + fxj[3] * np.cos(self.psi_pad[3] + self.sigma[3]) + + fxj[4] * np.cos(self.psi_pad[4] + self.sigma[4]) + + fxj[5] * np.cos(self.psi_pad[5] + self.sigma[5]) + ) + Fhy = ( + fxj[0] * np.sin(self.psi_pad[0] + self.sigma[0]) + + fxj[1] * np.sin(self.psi_pad[1] + self.sigma[1]) + + fxj[2] * np.sin(self.psi_pad[2] + self.sigma[2]) + + fxj[3] * np.sin(self.psi_pad[3] + self.sigma[3]) + + fxj[4] * np.sin(self.psi_pad[4] + self.sigma[4]) + + fxj[5] * np.sin(self.psi_pad[5] + self.sigma[5]) + ) - a_pe = Pee ** 2 / (10 + 2 * Pee ** 2) - b_pe = (1 + 0.005 * Pee ** 2) / (1 + 0.05 * Pee ** 2) + return Fhx,Fhy - a_pw = Pew ** 2 / (10 + 2 * Pew ** 2) - b_pw = (1 + 0.005 * Pew ** 2) / (1 + 0.05 * Pew ** 2) + def run(self): + Fhx,Fhy = self._forces() + print(f'Fhx = {Fhx}\nFhy = {Fhy}\n') - a_sw = Pes ** 2 / (10 + 2 * Pes ** 2) - b_sw = (1 + 0.005 * Pes ** 2) / (1 + 0.05 * Pes ** 2) - a_nw = Pen ** 2 / (10 + 2 * Pen ** 2) - b_nw = (1 + 0.005 * Pen ** 2) / (1 + 0.05 * Pen ** 2) +if __name__ == "__main__": - a_pn = 0 # Central differences - b_pn = 1 + phi = 30 * np.pi / 180 + E = 0.5 - a_ps = 0 - b_ps = 1 - Ae = Me * (0.5 - a_pe) - D11e / dksi * b_pe - (D21n - D21s) / (4 * dksi) - Aw = ( - -Mw * (0.5 + a_pw) - D11w / dksi * b_pw + (D21n - D21s) / (4 * dksi) - ) - An = Mn * (0.5 - a_pn) - D22n / dN * b_pn - (D12e - D12w) / (4 * dN) - As = -Ms * (0.5 + a_ps) - D22s / dN * b_ps - (D12w - D12e) / (4 * dN) - Ane = -D12e / (4 * dN) - D21n / (4 * dksi) - Ase = D12e / (4 * dN) + D21s / (4 * dksi) - Anw = D12w / (4 * dN) + D21n / (4 * dksi) - Asw = -D12w / (4 * dN) - D21s / (4 * dksi) - Ap = -(Ae + Aw + An + As + Ane + Ase + Anw + Asw) - - up_a = uP / (R * war) - uw_a = uW / (R * war) - ue_a = uE / (R * war) - us_a = uS / (R * war) - un_a = uN / (R * war) - - vp_a = vP / (R * war) - vw_a = vW / (R * war) - ve_a = vE / (R * war) - vs_a = vS / (R * war) - vn_a = vN / (R * war) - - wp_a = wP / (R * war) - ww_a = wW / (R * war) - we_a = wE / (R * war) - ws_a = wS / (R * war) - wn_a = wN / (R * war) - - fdiss = 2 * ( - ( - Cr * hP * (up_a - uw_a) / dksi - - n_p * Cr * dhdksi_p * (up_a - us_a) / dN - ) - ** 2 - + (betha_s * Rs * (vn_a - vp_a) / dN) ** 2 - + ( - betha_s * Rs * (up_a - us_a) / dN - + Cr * hP * (vp_a - vw_a) / dksi - - n_p * Cr * dhdksi_p * (vp_a - vs_a) / dksi - ) - ** 2 - + ( - Cr * hP * (wp_a - ww_a) / dksi - - n_p * Cr * dhdksi_p * (wp_a - ws_a) / dN - ) - ** 2 - + (betha_s * Rs * (wp_a - ws_a) / dksi) ** 2 - ) - - # Source term ---------------- - Bp = JP * ((war * R) ** 2) * Mi[ki, kj] / Cp * dN * dksi * fdiss - - # Vectorizing - k = k + 1 - - b[k - 1, 0] = Bp - - if ki == 0 and kj == 0: - Mat_coef[k - 1, k - 1] = Ap + An - Aw - Mat_coef[k - 1, k] = Ae + Ane - Mat_coef[k - 1, k - 1 + ntheta] = As - Asw - Mat_coef[k - 1, k - 1 + ntheta] = Ase - b[k - 1, 0] = ( - b[k - 1, 0] - - 2 * (Aw * Tmist[ki + 1] + Asw * Tmist[ki + 2]) - - Anw * (Tmist[ki]) - ) - - if ki == 0 and kj > 0 and kj < nX - 1: - Mat_coef[k - 1, k - 1] = Ap + An - Mat_coef[k - 1, k] = Ae + Ane - Mat_coef[k - 1, k - 2] = Aw + Anw - Mat_coef[k - 1, k + ntheta - 1] = As - Mat_coef[k - 1, k + ntheta] = Ase - Mat_coef[k - 1, k + ntheta - 2] = Asw - - if ki == 0 and kj == nX: - Mat_coef[k - 1, k - 1] = Ap + An + Ane + Ae - Mat_coef[k - 1, k - 2] = Aw + Anw - Mat_coef[k - 1, k + ntheta - 1] = As + Ase - Mat_coef[k - 1, k + ntheta - 2] = Asw - - if kj == 0 and ki > 0 and ki < nN - 1: - Mat_coef[k - 1, k - 1] = Ap - Aw - Mat_coef[k - 1, k] = Ae - Mat_coef[k - 1, k + ntheta - 1] = As - Asw - Mat_coef[k - 1, k - ntheta - 1] = An - Anw - Mat_coef[k - 1, k + ntheta] = Ase - Mat_coef[k - 1, k - ntheta] = Ane - b[k - 1, 0] = ( - b[k - 1, 0] - - 2 * Tmist[ki - 1] * Anw - - 2 * Tmist[ki + 1] * Aw - - 2 * Tmist[ki + 2] * Asw - ) - - if ki > 0 and ki < nN - 1 and kj > 0 and kj < nX - 1: - Mat_coef[k - 1, k - 1] = Ap - Mat_coef[k - 1, k] = Ae - Mat_coef[k - 1, k - 2] = Aw - Mat_coef[k - 1, k + ntheta - 1] = As - Mat_coef[k - 1, k - ntheta - 1] = An - Mat_coef[k - 1, k + ntheta] = Ase - Mat_coef[k - 1, k + ntheta - 2] = Asw - Mat_coef[k - 1, k - ntheta] = Ane - Mat_coef[k - 1, k - ntheta - 2] = Anw - - if kj == nX - 1 and ki > 0 and ki < nN - 1: - Mat_coef[k - 1, k - 1] = Ap + Ae - Mat_coef[k - 1, k - 2] = Aw - Mat_coef[k - 1, k + ntheta - 1] = As + Ase - Mat_coef[k - 1, k - ntheta - 1] = An + Ane - Mat_coef[k - 1, k + ntheta - 2] = Asw - Mat_coef[k - 1, k - ntheta - 2] = Anw - - if kj == 0 and ki == nN - 1: - Mat_coef[k - 1, k - 1] = Ap + As - Aw - Mat_coef[k - 1, k] = Ae + Ase - Mat_coef[k - 1, k - ntheta - 1] = An - Anw - Mat_coef[k - 1, k - ntheta] = Ane - b[k - 1, 0] = ( - b[k - 1, 0] - - 2 * Tmist[ki + 1] * Aw - - 2 * Tmist[ki] * Anw - - Tmist[ki + 2] * Asw - ) - - if ki == nN - 1 and kj > 0 and kj < nX - 1: - Mat_coef[k - 1, k - 1] = Ap + As - Mat_coef[k - 1, k] = Ae + Ase - Mat_coef[k - 1, k - 2] = Aw + Asw - Mat_coef[k - 1, k - ntheta - 1] = An - Mat_coef[k - 1, k - ntheta] = Ane - Mat_coef[k - 1, k - ntheta - 2] = Anw - - if ki == nN - 1 and kj == nX - 1: - Mat_coef[k - 1, k - 1] = Ap + As + Ae + Ase - Mat_coef[k - 1, k - 2] = Aw + Asw - Mat_coef[k - 1, k - ntheta - 1] = An + Ane - Mat_coef[k - 1, k - ntheta - 2] = Anw - - kj = kj + 1 - - kj = 0 - ki = ki + 1 - - ki = 0 - nn = 0 - - t = np.linalg.solve(Mat_coef, b) # vectorized temperature field calculation - - # Temperature matrix ---------------------- - cont = 0 - - for i in range(0, nN): - for j in range(0, nX): - T[i, j] = t[cont] - cont = cont + 1 - - # Viscosity equation ======================================================================== - # VG68 - Polynomial adjustment using predetermined values - # - # Via Oil_Regression_Analyses.m and propvalue.m the equation coefficients - # are obtained for the regression on the viscosity determination as a - # function of the temperature. - - # 3D temperature field ----------------------------------------------------- - TT = np.zeros(nZ, nX, nN) - for k in range(0, nN): - for j in range(0, nX): - TT[:, j, k] = T[k, j] - - # Regression equation coefficients - a = 5.506e-09 - b = 5012 - c = 0.1248 - minovo = a * np.exp(b / (TT + 273.15 + c)) - k = 0 - - # Full temperature matrix, including borders - for i in range(1, nN): - for j in range(1, ntheta): - T_novo[i, j] = T[i - 1, j - 1] - - T_novo[0,] = T_novo[ - 1, - ] - T_novo[nN + 1,] = T_novo[ - nN, + # optim values from legacy codes + x = np.array( + [ + 0.000401905634685165, + 0.000210288009621476, + 0.000136772568561263, + 0.000273217426488742, + 0.000537108459033454, + 0.000574699109242178, ] - T_novo[1:nN, 0] = Tmist[1, nN] - T_novo[:, nX + 1] = T_novo[:, nX] - - # WHILE ENDS HERE ========================================================== - - T1[:, :, n_p] = T_novo - P1[:, :, n_p] = PPdim - - yh = ( - Rs - - R - - ( - np.sin(Xtheta) * (yr + alpha * (Rs + esp)) - + np.cos(Xtheta) * (xr + Rs - R - Cr) - ) ) - for jj in range(0, nX + 1): - YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh[jj], nN + 2)) - - # Integration of pressure field - HydroForces - auxF = np.array([np.cos(Xtheta[0:-1]), np.sin(Xtheta[0:-1])]) - dA = dx * dz - - auxP = P1[1:-1, 1:-1, n_p] * dA - - vector_auxF_x = auxF[ - 0, - ] - vector_auxF_y = auxF[ - 1, - ] - - auxFx = auxP * vector_auxF_x.T - auxFy = auxP * vector_auxF_y.T - - fxj[n_p] = -np.sum(auxFx) - fyj = -np.sum(auxFy) - - My[n_p] = fyj * (Rs + esp) - - if fxj[n_p] >= -1: - My[n_p] = 10e6 - - -# END PADS FOR LOOP =============================================================== - -score[0] = My[0] -score[1] = My[1] -score[2] = My[2] -score[3] = My[3] -score[4] = My[4] -score[5] = My[5] - -# hydrodynamic forces -Fhx = ( - fxj[0] * np.cos(psi_pad[0] + sigma[0]) - + fxj[1] * np.cos(psi_pad[1] + sigma[1]) - + fxj[2] * np.cos(psi_pad[2] + sigma[2]) - + fxj[3] * np.cos(psi_pad[3] + sigma[3]) - + fxj[4] * np.cos(psi_pad[4] + sigma[4]) - + fxj[5] * np.cos(psi_pad[5] + sigma[5]) -) -Fhy = ( - fxj[0] * np.sin(psi_pad[0] + sigma[0]) - + fxj[1] * np.sin(psi_pad[1] + sigma[1]) - + fxj[2] * np.sin(psi_pad[2] + sigma[2]) - + fxj[3] * np.sin(psi_pad[3] + sigma[3]) - + fxj[4] * np.sin(psi_pad[4] + sigma[4]) - + fxj[5] * np.sin(psi_pad[5] + sigma[5]) -) - -# Maximum pressure, maximum temperature and minimum thickness -Pmax = np.max(P1) -Tmax = np.max(T1) -hmin = np.min(hhh) + # psi_pad = x + psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) + npad = 6 + + # Radial clearance + Cr = 250e-6 + + # Oil tank temperature + Tcuba = 40 + + alpha = 0 # * (2 * np.pi * 5) * alpha + + # Geometric parameters for the bearing -------------------------------------------- + + # Journal radius + R = 0.5 * 930e-3 + + # Pad radius + Rs = 0.5 * 934e-3 # [m] + + # Pad thickness + esp = 67e-3 # [m] + + # Pad arc + betha_s = 25 # [degree] + + # Pivot position (arc pivot/arc pad) + rp_pad = 0.6 + + # Bength of bearing + L = 197e-3 # [m] + + # Angular position of the pivot + sigma = np.array([0, 300, 60]) # [degree] + + # Bearing loading + fR = 90.6e3 # [N] + + # Rotor speed + wa = 300 # [rpm] + + # Reference temperature + T_ref = Tcuba # [Celsius] + + # Thermal properties for the oil ---------------------------------------------------- + + # Thermal conductivity + kt = 0.07031 * np.exp(484.1 / (Tcuba + 273.15 + 474)) # [J/s.m.C] + + # Specific heat + Cp = (16.5 * np.exp(-2442 / (Tcuba + 273.15 + 829.1))) * 1e3 # [J/kgC] + + # Specific mass + rho = 0.04514 * np.exp(9103 / (Tcuba + 273.15 + 2766)) * 1e3 # [kg/m**2] + + # Reference viscosity + # mi_ref=0.0752 + mi_ref = 5.506e-09 * np.exp(5012 / (Tcuba + 273.15 + 0.1248)) # [N.s/m**2] + + # Bearing Position --------------------------------------------------------- + + # Discretized Mesh ------------------------------------------------------ + + # Number of volumes in theta direction + ntheta = 48 + + # Number of volumes in x direction + nX = ntheta + + # Number of volumes in z direction + nZ = 48 + + # Number of volumes in neta direction + nN = 30 + + mancal = Tilting( + R, + Rs, + esp, + betha_s, + rp_pad, + L, + sigma, + fR, + wa, + kt, + Cp, + rho, + mi_ref, + E, + phi, + psi_pad, + npad, + Cr, + alpha, + Tcuba, + ntheta, + nX, + nZ, + nN, + ) + mancal.run() + # mancal.coefficients() \ No newline at end of file From 2a826acec47309a9d6c1cff56e9f08a76678c851 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Mon, 8 Feb 2021 16:31:48 -0300 Subject: [PATCH 116/138] fixing pressure matrix assembly --- ross/fluid_flow/tilting_pad.py | 31 ++++++++++++++++++++----------- 1 file changed, 20 insertions(+), 11 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index a3e965f94..995777d6a 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -487,19 +487,28 @@ def _forces(self): cont = 0 # Matrix form of the pressure field ==================================================== - for i in range(0, self.nZ - 1): # Loop in Z - for j in range(0, self.ntheta - 1): # Loop in THETA - if ( - len(np.where(self.drop_pressure_Ele_nZ == i + 1)[0]) == 0 - and len(np.where(self.drop_pressure_Ele_ntetha == j + 1)[0]) == 0 - ): - P[i, j] = 0 - else: + # for i in range(0, self.nZ - 1): # Loop in Z + # for j in range(0, self.ntheta - 1): # Loop in THETA + # if ( + # len(np.where(self.drop_pressure_Ele_nZ == i + 1)[0]) == 0 + # and len(np.where(self.drop_pressure_Ele_ntetha == j + 1)[0]) == 0 + # ): + # P[i, j] = 0 + # else: - cont = cont + 1 - P[i, j] = p[cont] + # cont = cont + 1 + # P[i, j] = p[cont] - if P[i, j] < 0: + # if P[i, j] < 0: + # P[i, j] = 0 + + for i in np.arange(self.nZ): + for j in np.arange(self.ntheta): + + P[i, j] = p[cont] + cont = cont + 1 + + if P[i, j] < 0: P[i, j] = 0 # Pressure border conditions ==================================================== From 92841c6a36b8ded554df75e68f5a4b373dac9dea Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Mon, 8 Feb 2021 17:31:02 -0300 Subject: [PATCH 117/138] removing unnecessary pressure drops Co-authored-by: Vergilio T. S. Del Claro --- ross/fluid_flow/tilting_pad.py | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 995777d6a..d520db777 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -460,12 +460,12 @@ def _forces(self): Mat_coef[k, k - 1] = CW Mat_coef[k, k - self.ntheta] = CN - if ( - len(np.where(self.drop_pressure_Ele_nZ == ki + 1)[0]) == 0 - and len(np.where(self.drop_pressure_Ele_ntetha == kj + 1)[0]) == 0 - ): - K_null[0, k] = k - Kij_null[ki, kj - 2] = 1 + # if ( + # len(np.where(self.drop_pressure_Ele_nZ == ki)[0]) == 1 + # and len(np.where(self.drop_pressure_Ele_ntetha == kj)[0]) == 1 + # ): + # K_null[0, k] = k + # Kij_null[ki, kj - 2] = 1 kj = kj + 1 k = k + 1 From 54350144f9b063b6cba1b4efb63f6cbed788df27 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Wed, 10 Feb 2021 10:08:36 -0300 Subject: [PATCH 118/138] Correcting auxiliary variables Co-authored-by: Vergilio T. S. Del Claro --- ross/fluid_flow/tilting_pad.py | 306 +++++++++++++++++++++------------ 1 file changed, 198 insertions(+), 108 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index d520db777..2d896f170 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1,5 +1,6 @@ import numpy as np + class Tilting: def __init__( self, @@ -58,7 +59,6 @@ def __init__( self.yy = E * Cr * np.sin(phi) self.alphapt = alpha # * (2 * np.pi * 5) * alpha - self.xpt = -(2 * np.pi * 5) * self.yy self.ypt = (2 * np.pi * 5) * self.xx @@ -69,7 +69,9 @@ def __init__( XZ = np.zeros([nZ + 2]) XZ[0] = self.Z1 XZ[nZ + 1] = self.Z2 - XZ[1 : nZ + 1] = self.Z1 + np.arange(0.5 * self.dZ, self.Z2, self.dZ) # vector z dimensionless + XZ[1 : nZ + 1] = self.Z1 + np.arange( + 0.5 * self.dZ, self.Z2, self.dZ + ) # vector z dimensionless self.XZ = XZ @@ -82,7 +84,9 @@ def __init__( netha = np.zeros([nN + 2]) netha[0] = self.N1 netha[nN + 1] = self.N2 - netha[1 : nN + 1] = self.N1 + np.arange(0.5 * self.dN, self.N2, self.dN) # vector netha dimensionless + netha[1 : nN + 1] = self.N1 + np.arange( + 0.5 * self.dN, self.N2, self.dN + ) # vector netha dimensionless self.netha = netha @@ -97,7 +101,7 @@ def __init__( self.theta1 + 0.5 * self.dtheta, self.theta2, self.dtheta ) # vector theta [rad] self.Xtheta = Xtheta - + self.dX = 1 / nX # differential x dimensionless self.dx = self.dX * (self.betha_s * Rs) # differential x dimensional: [m] self.XX = Xtheta * Rs # vector x dimensional: [m] @@ -107,11 +111,16 @@ def __init__( self.len_L = 0.71 * L # Bearing length with recess self.center_pos_L = L / 2 self.start_pos_betha = 0 * self.betha_s - self.drop_pressure_pos_L = np.array([self.center_pos_L - self.len_L / 2, self.center_pos_L + self.len_L / 2]) - self.drop_pressure_pos_betha = np.array([self.start_pos_betha, self.start_pos_betha + self.len_betha]) + self.drop_pressure_pos_L = np.array( + [self.center_pos_L - self.len_L / 2, self.center_pos_L + self.len_L / 2] + ) + self.drop_pressure_pos_betha = np.array( + [self.start_pos_betha, self.start_pos_betha + self.len_betha] + ) self.drop_pressure_Ele_nZ = np.intersect1d( - np.where(self.XZdim > self.drop_pressure_pos_L[0]), np.where(self.XZdim < self.drop_pressure_pos_L[1]) + np.where(self.XZdim > self.drop_pressure_pos_L[0]), + np.where(self.XZdim < self.drop_pressure_pos_L[1]), ) self.drop_pressure_Ele_ntetha = np.intersect1d( np.where(Xtheta >= self.drop_pressure_pos_betha[0] + self.theta1), @@ -268,38 +277,50 @@ def _forces(self): auxFF0P[self.nN + 1] = auxFF0P[self.nN] auxFF1P[0] = 0 - auxFF1P[self.nN + 1] = self.N2 / (vector_mi[0, self.nN - 1] / self.mi_ref) + auxFF1P[self.nN + 1] = self.N2 / ( + vector_mi[0, self.nN - 1] / self.mi_ref + ) auxFF0E[0] = auxFF0E[1] auxFF0E[self.nN + 1] = auxFF0E[self.nN] auxFF1E[0] = 0 - auxFF1E[self.nN + 1] = self.N2 / (vector_mi[1, self.nN - 1] / self.mi_ref) + auxFF1E[self.nN + 1] = self.N2 / ( + vector_mi[1, self.nN - 1] / self.mi_ref + ) auxFF0W[0] = auxFF0W[1] auxFF0W[self.nN + 1] = auxFF0W[self.nN] auxFF1W[0] = 0 - auxFF1W[self.nN + 1] = self.N2 / (vector_mi[2, self.nN - 1] / self.mi_ref) + auxFF1W[self.nN + 1] = self.N2 / ( + vector_mi[2, self.nN - 1] / self.mi_ref + ) # Numerical integration FF0P = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF0P[1:] + auxFF0P[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF0P[1:] + auxFF0P[0:-1]) ) FF1P = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF1P[1:] + auxFF1P[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF1P[1:] + auxFF1P[0:-1]) ) FF0E = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF0E[1:] + auxFF0E[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF0E[1:] + auxFF0E[0:-1]) ) FF1E = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF1E[1:] + auxFF1E[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF1E[1:] + auxFF1E[0:-1]) ) FF0W = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF0W[1:] + auxFF0W[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF0W[1:] + auxFF0W[0:-1]) ) FF1W = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF1W[1:] + auxFF1W[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF1W[1:] + auxFF1W[0:-1]) ) FF0e = 0.5 * (FF0P + FF0E) @@ -329,29 +350,32 @@ def _forces(self): nn = 0 auxFF2P[0] = 0 - auxFF2P[self.nN + 1] = (self.N2 / (vector_mi[0, self.nN - 1] / self.mi_ref)) * ( - self.N2 - FF1P / FF0P - ) + auxFF2P[self.nN + 1] = ( + self.N2 / (vector_mi[0, self.nN - 1] / self.mi_ref) + ) * (self.N2 - FF1P / FF0P) auxFF2E[0] = 0 - auxFF2E[self.nN + 1] = (self.N2 / (vector_mi[1, self.nN - 1] / self.mi_ref)) * ( - self.N2 - FF1P / FF0P - ) + auxFF2E[self.nN + 1] = ( + self.N2 / (vector_mi[1, self.nN - 1] / self.mi_ref) + ) * (self.N2 - FF1P / FF0P) auxFF2W[0] = 0 - auxFF2W[self.nN + 1] = (self.N2 / (vector_mi[2, self.nN - 1] / self.mi_ref)) * ( - self.N2 - FF1P / FF0P - ) + auxFF2W[self.nN + 1] = ( + self.N2 / (vector_mi[2, self.nN - 1] / self.mi_ref) + ) * (self.N2 - FF1P / FF0P) # integration process =================================================== FF2P = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF2P[1:] + auxFF2P[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF2P[1:] + auxFF2P[0:-1]) ) FF2E = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF2E[1:] + auxFF2E[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF2E[1:] + auxFF2E[0:-1]) ) FF2W = 0.5 * np.sum( - (self.netha[1:] - self.netha[0:-1]) * (auxFF2W[1:] + auxFF2W[0:-1]) + (self.netha[1:] - self.netha[0:-1]) + * (auxFF2W[1:] + auxFF2W[0:-1]) ) FF2e = 0.5 * (FF2P + FF2E) @@ -364,8 +388,10 @@ def _forces(self): self.Rs - self.R - ( - np.sin(self.Xtheta[jj + 1]) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(self.Xtheta[jj + 1]) * (xr + self.Rs - self.R - self.Cr) + np.sin(self.Xtheta[jj + 1]) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1]) + * (xr + self.Rs - self.R - self.Cr) ) ) / self.Cr he = ( @@ -374,7 +400,8 @@ def _forces(self): - ( np.sin(self.Xtheta[jj + 1] + 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(self.Xtheta[jj + 1] + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + + np.cos(self.Xtheta[jj + 1] + 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) ) / self.Cr hw = ( @@ -383,7 +410,8 @@ def _forces(self): - ( np.sin(self.Xtheta[jj + 1] - 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(self.Xtheta[jj + 1] - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + + np.cos(self.Xtheta[jj + 1] - 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) ) / self.Cr hn = hP @@ -391,14 +419,36 @@ def _forces(self): hpt = -(1 / (self.Cr * self.war)) * ( np.cos(self.Xtheta[jj + 1]) * xrpt + np.sin(self.Xtheta[jj + 1]) * yrpt - + np.sin(self.Xtheta[jj + 1]) * (self.Rs + self.esp) * self.alphapt + + np.sin(self.Xtheta[jj + 1]) + * (self.Rs + self.esp) + * self.alphapt ) # admensional # Finite volume frontiers - CE = 1 / (self.betha_s) ** 2 * (FF2e * he ** 3) * self.dZ / self.dX - CW = 1 / (self.betha_s) ** 2 * (FF2w * hw ** 3) * self.dZ / self.dX - CN = (FF2n * hn ** 3) * (self.dX / self.dZ) * (self.Rs / self.L) ** 2 - CS = (FF2s * hs ** 3) * (self.dX / self.dZ) * (self.Rs / self.L) ** 2 + CE = ( + 1 + / (self.betha_s) ** 2 + * (FF2e * he ** 3) + * self.dZ + / self.dX + ) + CW = ( + 1 + / (self.betha_s) ** 2 + * (FF2w * hw ** 3) + * self.dZ + / self.dX + ) + CN = ( + (FF2n * hn ** 3) + * (self.dX / self.dZ) + * (self.Rs / self.L) ** 2 + ) + CS = ( + (FF2s * hs ** 3) + * (self.dX / self.dZ) + * (self.Rs / self.L) ** 2 + ) CP = -(CE + CW + CN + CS) B = (self.R / (self.Rs * self.betha_s)) * self.dZ * ( @@ -509,7 +559,7 @@ def _forces(self): cont = cont + 1 if P[i, j] < 0: - P[i, j] = 0 + P[i, j] = 0 # Pressure border conditions ==================================================== for i in range(0, self.nZ - 1): # Loop in Z @@ -536,8 +586,12 @@ def _forces(self): nn = 0 # Dimensionless Netha loop ==================================================== - # for ky in range((N1 + 0.5 * self.dN), self.dN, (self.N2 - 0.5 * self.dN)): - for ky in range(0, self.nN - 1): + for ky in np.arange( + (self.N1 + 0.5 * self.dN), + (self.N2 - 0.5 * self.dN + self.dN), + self.dN, + ): + # for ky in range(0, self.nN - 1): # Mesh loop in Z direction ==================================================== # for ii in range((Z1 + 0.5 * self.dZ), self.dZ, (Z2 - 0.5 * self.dZ)): for ii in range(0, self.nZ - 1): @@ -567,8 +621,10 @@ def _forces(self): self.Rs - self.R - ( - np.sin(self.Xtheta[jj + 1]) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(self.Xtheta[jj + 1]) * (xr + self.Rs - self.R - self.Cr) + np.sin(self.Xtheta[jj + 1]) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(self.Xtheta[jj + 1]) + * (xr + self.Rs - self.R - self.Cr) ) ) @@ -579,7 +635,10 @@ def _forces(self): for contk in range(1, self.nN + 1): nn = nn + 1 auxFF0[nn] = 1 / mi[ki, kj, self.nN - 1 - nn] - auxFF1[nn] = (self.dN * (-0.5 + contk) * h) / mi[ki, kj, self.nN - 1 - nn] + auxFF1[nn] = (self.dN * (-0.5 + contk) * h) / mi[ + ki, kj, self.nN - 1 - nn + ] + nn = 0 auxFF0[0] = auxFF0[1] @@ -596,50 +655,34 @@ def _forces(self): (ydim1[1:] - ydim1[0:-1]) * (auxFF1[1:] + auxFF1[0:-1]) ) - # Auxiliary variable for counting - # aux_nN_num = ( - # abs( - # np.int( - # np.round( - # (abs((self.N1 + 0.5 * self.dN) * h) - abs(ky * h)) - # / abs(self.dN * h) - # ) - # ) - # ) - # + 2 - # ) - - # aux_nN = np.linspace( - # (ky * h), ((self.N1 + 0.5 * self.dN) * h), num=aux_nN_num - # ) - - # aux_N1_ky_num_1 = np.int(abs((abs(self.N1) - abs(ky)) / abs(self.dN))) + 2 - # aux_N1_ky_num_2 = np.linspace(self.N1, ky, num=aux_N1_ky_num_1) - # Auxilary variables declaration/reset - auxG0 = np.zeros((self.netha.size)) - auxG1 = np.zeros((self.netha.size)) - ydim2 = np.zeros((self.netha.size)) + aux_size = np.arange(self.N1, ky + self.dN, self.dN) + auxG0 = np.zeros(len(aux_size)) + auxG1 = np.zeros(len(aux_size)) + ydim2 = np.zeros(len(aux_size)) - # Counter reset - nn = 0 + for contk in np.arange( + ((self.N1 + 0.5 * self.dN) * h), + ((ky + self.dN) * h), + (self.dN * h), + ): - # for contk in range(((N1 + 0.5 * self.dN) * h), (self.dN * h), (ky * h)): - for contk in range(1, self.nN + 1): - nn = nn + 1 - # print(nn) auxG0[nn] = 1 / mi[ki, kj, self.nN - 1 - nn] - auxG1[nn] = (self.dN * (-0.5 + contk) * h) / mi[ki, kj, self.nN - 1 - nn] - ydim2[nn] = self.dN * (-0.5 + contk) * h + auxG1[nn] = contk / mi[ki, kj, self.nN - 1 - nn] + ydim2[nn] = contk + nn = nn + 1 # Counter reset nn = 0 + auxG0 = auxG0[::-1] auxG0[0] = auxG0[1] - auxG0[nN + 1] = auxG0[nN] + auxG1 = auxG1[::-1] auxG1[0] = 0 - auxG1[nN + 1] = (self.N2 * h) / mi[ki, kj, 1] + + ydim2 = ydim2[::-1] + ydim2[0] = self.N1 * h G0 = 0.5 * np.sum( (ydim2[1:] - ydim2[0:-1]) * (auxG0[1:] + auxG0[0:-1]) @@ -649,7 +692,10 @@ def _forces(self): ) # vu(ki,kj,kk)=dPdx*G1+(self.war*R/FF0-FF1/FF0*dPdx)*G0; - vu[ki, kj, kk] = dPdx * G1 + (self.war * self.R / FF0 - FF1 / FF0 * dPdx) * G0 + vu[ki, kj, kk] = ( + dPdx * G1 + + (self.war * self.R / FF0 - FF1 / FF0 * dPdx) * G0 + ) # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 @@ -678,7 +724,9 @@ def _forces(self): hpt = -( np.cos(self.Xtheta[jj + 1]) * xrpt + np.sin(self.Xtheta[jj + 1]) * yrpt - + np.sin(self.Xtheta[jj + 1]) * (self.Rs + self.esp) * self.alphapt + + np.sin(self.Xtheta[jj + 1]) + * (self.Rs + self.esp) + * self.alphapt ) if ki == 0 and kj == 0: @@ -692,7 +740,9 @@ def _forces(self): if ki == 0 and kj > 0: # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): for contk in range(0, self.nN + 1): - dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / self.dx + dudx[nn] = ( + vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1] + ) / self.dx dwdz[nn] = 0 nn = nn + 1 nn = 0 @@ -701,15 +751,21 @@ def _forces(self): # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): for contk in range(0, self.nN + 1): dudx[nn] = 0 - dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / self.dz + dwdz[nn] = ( + vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1] + ) / self.dz nn = nn + 1 nn = 0 if ki > 0 and ki < self.nN - 1 and kj > 0 and kj < self.nX - 1: # for contk in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): for contk in range(0, self.nN + 1): - dudx[nn] = (vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1]) / self.dx - dwdz[nn] = (vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1]) / self.dz + dudx[nn] = ( + vu[ki, kj, nn - 1] - vu[ki, kj - 1, nn - 1] + ) / self.dx + dwdz[nn] = ( + vw[ki, kj, nn - 1] - vw[ki - 1, kj, nn - 1] + ) / self.dz nn = nn + 1 nn = 0 @@ -721,7 +777,9 @@ def _forces(self): auxD = dudx + dwdz # intv=0.5*sum((ydim1(2:end)-ydim1(1:end-1)).*(auxD(2:end)+auxD(1:end-1))); - intv = 0.5 * np.sum((ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1])) + intv = 0.5 * np.sum( + (ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1]) + ) vv[ki, kj,] = ( -intv + hpt @@ -779,16 +837,20 @@ def _forces(self): self.Rs - self.R - ( - np.sin(theta + 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(theta + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + np.sin(theta + 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(theta + 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) ) Hw = ( self.Rs - self.R - ( - np.sin(theta - 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(theta - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + np.sin(theta - 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + + np.cos(theta - 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) ) Hn = HP @@ -924,12 +986,16 @@ def _forces(self): - np.sin(theta) * (xr + self.Rs - self.R - self.Cr) ) dhdksi_e = -self.betha_s * ( - np.cos(theta + 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - - np.sin(theta + 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + np.cos(theta + 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + - np.sin(theta + 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) dhdksi_w = -self.betha_s * ( - np.cos(theta - 0.5 * self.dtheta) * (yr + alpha * (self.Rs + self.esp)) - - np.sin(theta - 0.5 * self.dtheta) * (xr + self.Rs - self.R - self.Cr) + np.cos(theta - 0.5 * self.dtheta) + * (yr + alpha * (self.Rs + self.esp)) + - np.sin(theta - 0.5 * self.dtheta) + * (xr + self.Rs - self.R - self.Cr) ) dhdksi_n = dhdksi_p dhdksi_s = dhdksi_n @@ -977,7 +1043,9 @@ def _forces(self): # Interpolation coefficients - Pee = self.rho * uE * self.Cp * self.dtheta * self.Rs / self.kt # Peclet's number + Pee = ( + self.rho * uE * self.Cp * self.dtheta * self.Rs / self.kt + ) # Peclet's number Pew = self.rho * uW * self.Cp * self.dtheta * self.Rs / self.kt Pen = self.rho * uN * self.Cp * self.dtheta * self.Rs / self.kt @@ -1001,12 +1069,26 @@ def _forces(self): a_ps = 0 b_ps = 1 - Ae = Me * (0.5 - a_pe) - D11e / dksi * b_pe - (D21n - D21s) / (4 * dksi) + Ae = ( + Me * (0.5 - a_pe) + - D11e / dksi * b_pe + - (D21n - D21s) / (4 * dksi) + ) Aw = ( - -Mw * (0.5 + a_pw) - D11w / dksi * b_pw + (D21n - D21s) / (4 * dksi) + -Mw * (0.5 + a_pw) + - D11w / dksi * b_pw + + (D21n - D21s) / (4 * dksi) + ) + An = ( + Mn * (0.5 - a_pn) + - D22n / self.dN * b_pn + - (D12e - D12w) / (4 * self.dN) + ) + As = ( + -Ms * (0.5 + a_ps) + - D22s / self.dN * b_ps + - (D12w - D12e) / (4 * self.dN) ) - An = Mn * (0.5 - a_pn) - D22n / self.dN * b_pn - (D12e - D12w) / (4 * self.dN) - As = -Ms * (0.5 + a_ps) - D22s / self.dN * b_ps - (D12w - D12e) / (4 * self.dN) Ane = -D12e / (4 * self.dN) - D21n / (4 * dksi) Ase = D12e / (4 * self.dN) + D21s / (4 * dksi) Anw = D12w / (4 * self.dN) + D21n / (4 * dksi) @@ -1053,7 +1135,15 @@ def _forces(self): ) # Source term ---------------- - Bp = JP * ((self.war * self.R) ** 2) * Mi[ki, kj] / self.Cp * self.dN * dksi * fdiss + Bp = ( + JP + * ((self.war * self.R) ** 2) + * Mi[ki, kj] + / self.Cp + * self.dN + * dksi + * fdiss + ) # Vectorizing k = k + 1 @@ -1068,7 +1158,7 @@ def _forces(self): b[k - 1, 0] = ( b[k - 1, 0] - 2 * (Aw * Tmist[ki] + Asw * Tmist[ki + 1]) - - Anw * (Tmist[ki-1]) + - Anw * (Tmist[ki - 1]) ) if ki == 0 and kj > 0 and kj < self.nX - 1: @@ -1126,7 +1216,7 @@ def _forces(self): b[k - 1, 0] = ( b[k - 1, 0] - 2 * Tmist[ki] * Aw - - 2 * Tmist[ki-1] * Anw + - 2 * Tmist[ki - 1] * Anw - Tmist[ki + 1] * Asw ) @@ -1152,7 +1242,9 @@ def _forces(self): ki = 0 nn = 0 - t = np.linalg.solve(Mat_coef, b) # vectorized temperature field calculation + t = np.linalg.solve( + Mat_coef, b + ) # vectorized temperature field calculation # Temperature matrix ---------------------- cont = 0 @@ -1193,7 +1285,7 @@ def _forces(self): T_novo[self.nN + 1,] = T_novo[ self.nN, ] - T_novo[1:self.nN, 0] = Tmist[1, self.nN] + T_novo[1 : self.nN, 0] = Tmist[1, self.nN] T_novo[:, self.nX + 1] = T_novo[:, self.nX] # WHILE ENDS HERE ========================================================== @@ -1236,7 +1328,6 @@ def _forces(self): if fxj[n_p] >= -1: My[n_p] = 10e6 - # END PADS FOR LOOP =============================================================== score[0] = My[0] @@ -1264,11 +1355,11 @@ def _forces(self): + fxj[5] * np.sin(self.psi_pad[5] + self.sigma[5]) ) - return Fhx,Fhy + return Fhx, Fhy def run(self): - Fhx,Fhy = self._forces() - print(f'Fhx = {Fhx}\nFhy = {Fhy}\n') + Fhx, Fhy = self._forces() + print(f"Fhx = {Fhx}\nFhy = {Fhy}\n") if __name__ == "__main__": @@ -1276,7 +1367,6 @@ def run(self): phi = 30 * np.pi / 180 E = 0.5 - # optim values from legacy codes x = np.array( [ @@ -1313,7 +1403,7 @@ def run(self): # Pad arc betha_s = 25 # [degree] - + # Pivot position (arc pivot/arc pad) rp_pad = 0.6 @@ -1322,7 +1412,7 @@ def run(self): # Angular position of the pivot sigma = np.array([0, 300, 60]) # [degree] - + # Bearing loading fR = 90.6e3 # [N] From fc86231cbde828b9e0f51e24483a83927d5c97f8 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Wed, 10 Feb 2021 10:31:15 -0300 Subject: [PATCH 119/138] Loop limit fixed Co-authored-by: Vergilio T. S. Del Claro --- ross/fluid_flow/tilting_pad.py | 43 ++++++++++++++++++---------------- 1 file changed, 23 insertions(+), 20 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 2d896f170..9eaa13eea 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -588,16 +588,16 @@ def _forces(self): # Dimensionless Netha loop ==================================================== for ky in np.arange( (self.N1 + 0.5 * self.dN), - (self.N2 - 0.5 * self.dN + self.dN), + (self.N2 - 0.5 * self.dN)+self.dN, self.dN, ): # for ky in range(0, self.nN - 1): # Mesh loop in Z direction ==================================================== - # for ii in range((Z1 + 0.5 * self.dZ), self.dZ, (Z2 - 0.5 * self.dZ)): - for ii in range(0, self.nZ - 1): + for ii in np.arange((self.Z1 + 0.5 * self.dZ), (self.Z2 - 0.5 * self.dZ) + self.dZ, self.dZ): + # for ii in range(0, self.nZ): # Mesh loop in THETA direction ==================================================== - # for jj in range((theta1 + 0.5 * self.dtheta), self.dtheta, (theta2 - 0.5 * self.dtheta)): - for jj in range(0, self.ntheta - 1): + for jj in np.arange((self.theta1 + 0.5 * self.dtheta), (self.theta2 - 0 * self.dtheta), self.dtheta): + # for jj in range(0, self.ntheta): # Pressure gradients calculation if ki == 0 and kj == 0: @@ -621,9 +621,9 @@ def _forces(self): self.Rs - self.R - ( - np.sin(self.Xtheta[jj + 1]) + np.sin(jj) * (yr + alpha * (self.Rs + self.esp)) - + np.cos(self.Xtheta[jj + 1]) + + np.cos(jj) * (xr + self.Rs - self.R - self.Cr) ) ) @@ -657,31 +657,34 @@ def _forces(self): # Auxilary variables declaration/reset aux_size = np.arange(self.N1, ky + self.dN, self.dN) - auxG0 = np.zeros(len(aux_size)) - auxG1 = np.zeros(len(aux_size)) - ydim2 = np.zeros(len(aux_size)) + auxG0 = np.zeros(self.netha.size) + auxG1 = np.zeros(self.netha.size) + ydim2 = np.zeros(self.netha.size) for contk in np.arange( ((self.N1 + 0.5 * self.dN) * h), ((ky + self.dN) * h), (self.dN * h), ): + nn = nn + 1 auxG0[nn] = 1 / mi[ki, kj, self.nN - 1 - nn] auxG1[nn] = contk / mi[ki, kj, self.nN - 1 - nn] ydim2[nn] = contk - nn = nn + 1 # Counter reset nn = 0 - auxG0 = auxG0[::-1] + # auxG0 = auxG0[::-1] + auxG0 = auxG0[:int(len(aux_size))] auxG0[0] = auxG0[1] - auxG1 = auxG1[::-1] + # auxG1 = auxG1[::-1] + auxG1 = auxG1[:int(len(aux_size))] auxG1[0] = 0 - ydim2 = ydim2[::-1] + # ydim2 = ydim2[::-1] + ydim2 = ydim2[:int(len(aux_size))] ydim2[0] = self.N1 * h G0 = 0.5 * np.sum( @@ -791,8 +794,8 @@ def _forces(self): ki = 0 ki = self.nN - 1 - for ii in range(0, self.nN - 1): - for jj in range(0, self.ntheta - 1): + for ii in range(0, self.nN): + for jj in range(0, self.ntheta): Vu[ii, jj] = np.mean(vu[:, jj, ki]) Vv[ii, jj] = np.mean(vv[:, jj, ki]) Vw[ii, jj] = np.mean(vw[:, jj, ki]) @@ -1020,10 +1023,10 @@ def _forces(self): alpha22n = (self.betha_s * self.Rs) ** 2 + (nn * dhdksi_n) ** 2 alpha22s = (self.betha_s * self.Rs) ** 2 + (ns * dhdksi_s) ** 2 - Me = rho * Ue * self.dN - Mw = rho * Uw * self.dN - Mn = rho * Vn * dksi - Ms = rho * Vs * dksi + Me = self.rho * Ue * self.dN + Mw = self.rho * Uw * self.dN + Mn = self.rho * Vn * dksi + Ms = self.rho * Vs * dksi D11 = self.kt / self.Cp * JP * alpha11P * self.dN D11e = self.kt / self.Cp * Je * alpha11e * self.dN From d467a8bbc83549167e5274e7d287e00f40be0b30 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Wed, 10 Feb 2021 15:46:13 -0300 Subject: [PATCH 120/138] Bugs corrected and black applied Co-authored-by: Vergilio T. S. Del Claro --- ross/fluid_flow/tilting_pad.py | 68 ++++++++++++++++++---------------- 1 file changed, 37 insertions(+), 31 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 9eaa13eea..1db7b7459 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1,4 +1,5 @@ import numpy as np +from decimal import Decimal class Tilting: @@ -588,15 +589,23 @@ def _forces(self): # Dimensionless Netha loop ==================================================== for ky in np.arange( (self.N1 + 0.5 * self.dN), - (self.N2 - 0.5 * self.dN)+self.dN, + (self.N2 - 0.5 * self.dN) + self.dN, self.dN, ): # for ky in range(0, self.nN - 1): # Mesh loop in Z direction ==================================================== - for ii in np.arange((self.Z1 + 0.5 * self.dZ), (self.Z2 - 0.5 * self.dZ) + self.dZ, self.dZ): + for ii in np.arange( + (self.Z1 + 0.5 * self.dZ), + (self.Z2 - 0.5 * self.dZ) + self.dZ, + self.dZ, + ): # for ii in range(0, self.nZ): # Mesh loop in THETA direction ==================================================== - for jj in np.arange((self.theta1 + 0.5 * self.dtheta), (self.theta2 - 0 * self.dtheta), self.dtheta): + for jj in np.arange( + (self.theta1 + 0.5 * self.dtheta), + (self.theta2 - 0 * self.dtheta), + self.dtheta, + ): # for jj in range(0, self.ntheta): # Pressure gradients calculation @@ -621,10 +630,8 @@ def _forces(self): self.Rs - self.R - ( - np.sin(jj) - * (yr + alpha * (self.Rs + self.esp)) - + np.cos(jj) - * (xr + self.Rs - self.R - self.Cr) + np.sin(jj) * (yr + alpha * (self.Rs + self.esp)) + + np.cos(jj) * (xr + self.Rs - self.R - self.Cr) ) ) @@ -676,15 +683,15 @@ def _forces(self): nn = 0 # auxG0 = auxG0[::-1] - auxG0 = auxG0[:int(len(aux_size))] + auxG0 = auxG0[: int(len(aux_size))] auxG0[0] = auxG0[1] # auxG1 = auxG1[::-1] - auxG1 = auxG1[:int(len(aux_size))] + auxG1 = auxG1[: int(len(aux_size))] auxG1[0] = 0 # ydim2 = ydim2[::-1] - ydim2 = ydim2[:int(len(aux_size))] + ydim2 = ydim2[: int(len(aux_size))] ydim2[0] = self.N1 * h G0 = 0.5 * np.sum( @@ -816,7 +823,7 @@ def _forces(self): nk = self.nN * self.ntheta Mat_coef = np.zeros((nk, nk)) - b = np.zeros((nk, 1)) + b = np.zeros((nk)) k = 0 # for ii in range(N1 + 0.5 * self.dN, self.dN, self.N2 - 0.5 * self.dN): @@ -977,16 +984,15 @@ def _forces(self): Ue = He * ue Uw = Hw * uw - n_p = 1 - ((ii + 0.5) * self.dN) - ne = n_p - nw = n_p - nn = n_p + self.dN - ns = n_p - self.dN + np2 = 1 - ((ii + 0.5) * self.dN) + ne = np2 + nw = np2 + nn = np2 + self.dN + ns = np2 - self.dN dhdksi_p = -self.betha_s * ( np.cos(theta) * (yr + alpha * (self.Rs + self.esp)) - np.sin(theta) * (xr + self.Rs - self.R - self.Cr) - - np.sin(theta) * (xr + self.Rs - self.R - self.Cr) ) dhdksi_e = -self.betha_s * ( np.cos(theta + 0.5 * self.dtheta) @@ -1003,7 +1009,7 @@ def _forces(self): dhdksi_n = dhdksi_p dhdksi_s = dhdksi_n - VP = self.betha_s * self.Rs * vP - n_p * dhdksi_p * uP + VP = self.betha_s * self.Rs * vP - np2 * dhdksi_p * uP Vn = self.betha_s * self.Rs * vn - nn * dhdksi_n * un Vs = self.betha_s * self.Rs * vs - ns * dhdksi_s * us @@ -1011,7 +1017,7 @@ def _forces(self): alpha11e = He ** 2 alpha11w = Hw ** 2 - alpha12P = -n_p * HP * dhdksi_p + alpha12P = -np2 * HP * dhdksi_p alpha12e = -ne * He * dhdksi_e alpha12w = -nw * Hw * dhdksi_w @@ -1019,7 +1025,7 @@ def _forces(self): alpha21n = -nn * Hn * dhdksi_n alpha21s = -ns * Hs * dhdksi_s - alpha22P = (self.betha_s * self.Rs) ** 2 + (n_p * dhdksi_p) ** 2 + alpha22P = (self.betha_s * self.Rs) ** 2 + (np2 * dhdksi_p) ** 2 alpha22n = (self.betha_s * self.Rs) ** 2 + (nn * dhdksi_n) ** 2 alpha22s = (self.betha_s * self.Rs) ** 2 + (ns * dhdksi_s) ** 2 @@ -1119,26 +1125,26 @@ def _forces(self): fdiss = 2 * ( ( self.Cr * hP * (up_a - uw_a) / dksi - - n_p * self.Cr * dhdksi_p * (up_a - us_a) / self.dN + - np2 * self.Cr * dhdksi_p * (up_a - us_a) / self.dN ) ** 2 + (self.betha_s * self.Rs * (vn_a - vp_a) / self.dN) ** 2 + ( self.betha_s * self.Rs * (up_a - us_a) / self.dN + self.Cr * hP * (vp_a - vw_a) / dksi - - n_p * self.Cr * dhdksi_p * (vp_a - vs_a) / dksi + - np2 * self.Cr * dhdksi_p * (vp_a - vs_a) / dksi ) ** 2 + ( self.Cr * hP * (wp_a - ww_a) / dksi - - n_p * self.Cr * dhdksi_p * (wp_a - ws_a) / self.dN + - np2 * self.Cr * dhdksi_p * (wp_a - ws_a) / self.dN ) ** 2 + (self.betha_s * self.Rs * (wp_a - ws_a) / dksi) ** 2 ) # Source term ---------------- - Bp = ( + Bp = Decimal( JP * ((self.war * self.R) ** 2) * Mi[ki, kj] @@ -1151,15 +1157,15 @@ def _forces(self): # Vectorizing k = k + 1 - b[k - 1, 0] = Bp + b[k - 1] = Bp if ki == 0 and kj == 0: Mat_coef[k - 1, k - 1] = Ap + An - Aw Mat_coef[k - 1, k] = Ae + Ane Mat_coef[k - 1, k - 1 + self.ntheta] = As - Asw Mat_coef[k - 1, k + self.ntheta] = Ase - b[k - 1, 0] = ( - b[k - 1, 0] + b[k - 1] = ( + b[k - 1] - 2 * (Aw * Tmist[ki] + Asw * Tmist[ki + 1]) - Anw * (Tmist[ki - 1]) ) @@ -1185,8 +1191,8 @@ def _forces(self): Mat_coef[k - 1, k - self.ntheta - 1] = An - Anw Mat_coef[k - 1, k + self.ntheta] = Ase Mat_coef[k - 1, k - self.ntheta] = Ane - b[k - 1, 0] = ( - b[k - 1, 0] + b[k - 1] = ( + b[k - 1] - 2 * Tmist[ki - 2] * Anw - 2 * Tmist[ki] * Aw - 2 * Tmist[ki + 1] * Asw @@ -1216,8 +1222,8 @@ def _forces(self): Mat_coef[k - 1, k] = Ae + Ase Mat_coef[k - 1, k - self.ntheta - 1] = An - Anw Mat_coef[k - 1, k - self.ntheta] = Ane - b[k - 1, 0] = ( - b[k - 1, 0] + b[k - 1] = ( + b[k - 1] - 2 * Tmist[ki] * Aw - 2 * Tmist[ki - 1] * Anw - Tmist[ki + 1] * Asw From b8a822db96c0d5787ea4206bafc2cc53bdd89224 Mon Sep 17 00:00:00 2001 From: Marcus Filipe Date: Wed, 10 Feb 2021 16:01:16 -0300 Subject: [PATCH 121/138] It's running! Need minor fixes though Co-authored-by: Vergilio T. S. Del Claro --- ross/fluid_flow/tilting_pad.py | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1db7b7459..a4ebb1835 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1,4 +1,6 @@ import numpy as np +from numpy.linalg import pinv +from scipy.linalg import solve from decimal import Decimal @@ -1251,9 +1253,11 @@ def _forces(self): ki = 0 nn = 0 - t = np.linalg.solve( - Mat_coef, b - ) # vectorized temperature field calculation + # t = solve( + # Mat_coef, b + # ) # vectorized temperature field calculation + + t = pinv(Mat_coef) * b # Temperature matrix ---------------------- cont = 0 From 7c84a6b73a3c3f87057d1bf66f0d4390241e49a5 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 11 Feb 2021 16:57:42 -0300 Subject: [PATCH 122/138] "b" correct generation fix Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index a4ebb1835..eb1d5d05d 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -819,8 +819,8 @@ def _forces(self): kj = 0 dksi = self.dX - for ii in range(0, self.nZ - 1): - for jj in range(0, self.nN - 1): + for ii in range(0, self.nZ - 0): + for jj in range(0, self.nN - 0): Mi[jj, ii] = mi[0, ii, jj] nk = self.nN * self.ntheta From 3f4da0dcd269b00a9617d1b9dff0af28db4d004e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 11 Feb 2021 18:25:55 -0300 Subject: [PATCH 123/138] "t" correctly generated Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 26 ++++++++++++++++++++++---- 1 file changed, 22 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index eb1d5d05d..fbf7d4c05 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -2,6 +2,7 @@ from numpy.linalg import pinv from scipy.linalg import solve from decimal import Decimal +from mpmath import * class Tilting: @@ -819,8 +820,8 @@ def _forces(self): kj = 0 dksi = self.dX - for ii in range(0, self.nZ - 0): - for jj in range(0, self.nN - 0): + for ii in range(0, self.nZ): + for jj in range(0, self.nN): Mi[jj, ii] = mi[0, ii, jj] nk = self.nN * self.ntheta @@ -1146,7 +1147,8 @@ def _forces(self): ) # Source term ---------------- - Bp = Decimal( + + Bp = ( JP * ((self.war * self.R) ** 2) * Mi[ki, kj] @@ -1156,6 +1158,16 @@ def _forces(self): * fdiss ) + # Bp = Decimal( + # JP + # * ((self.war * self.R) ** 2) + # * Mi[ki, kj] + # / self.Cp + # * self.dN + # * dksi + # * fdiss + # ) + # Vectorizing k = k + 1 @@ -1257,7 +1269,13 @@ def _forces(self): # Mat_coef, b # ) # vectorized temperature field calculation - t = pinv(Mat_coef) * b + t = np.dot(pinv(Mat_coef), b) + + # new_a = fp.matrix(Mat_coef) + # new_b = fp.matrix(b) + # t2 = fp.lu_solve(new_a, new_b) + + # residual(Mat_coef, t, b) # Temperature matrix ---------------------- cont = 0 From 0fba561461329d3c657184d64e73930dc68c0777 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 11 Feb 2021 18:30:58 -0300 Subject: [PATCH 124/138] Comments and scrapcode cleanup Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 54 +--------------------------------- 1 file changed, 1 insertion(+), 53 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index fbf7d4c05..35d05fabd 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -2,7 +2,6 @@ from numpy.linalg import pinv from scipy.linalg import solve from decimal import Decimal -from mpmath import * class Tilting: @@ -514,13 +513,6 @@ def _forces(self): Mat_coef[k, k - 1] = CW Mat_coef[k, k - self.ntheta] = CN - # if ( - # len(np.where(self.drop_pressure_Ele_nZ == ki)[0]) == 1 - # and len(np.where(self.drop_pressure_Ele_ntetha == kj)[0]) == 1 - # ): - # K_null[0, k] = k - # Kij_null[ki, kj - 2] = 1 - kj = kj + 1 k = k + 1 # loop end @@ -530,32 +522,10 @@ def _forces(self): # loop end # Pressure field solution ============================================================== - - # cc = (K_null == 0).nonzero() # cc = find(K_null == 0) - # cc_aux = np.where(K_null == 0) # cc = find(K_null == 0) - # cc = cc_aux[1] - # p = np.linalg.solve(Mat_coef[[cc, cc]], b[cc]) - p = np.linalg.solve(Mat_coef, b) cont = 0 - # Matrix form of the pressure field ==================================================== - # for i in range(0, self.nZ - 1): # Loop in Z - # for j in range(0, self.ntheta - 1): # Loop in THETA - # if ( - # len(np.where(self.drop_pressure_Ele_nZ == i + 1)[0]) == 0 - # and len(np.where(self.drop_pressure_Ele_ntetha == j + 1)[0]) == 0 - # ): - # P[i, j] = 0 - # else: - - # cont = cont + 1 - # P[i, j] = p[cont] - - # if P[i, j] < 0: - # P[i, j] = 0 - for i in np.arange(self.nZ): for j in np.arange(self.ntheta): @@ -1054,7 +1024,6 @@ def _forces(self): D22s = self.kt / self.Cp * Js * alpha22s * dksi # Interpolation coefficients - Pee = ( self.rho * uE * self.Cp * self.dtheta * self.Rs / self.kt ) # Peclet's number @@ -1147,7 +1116,6 @@ def _forces(self): ) # Source term ---------------- - Bp = ( JP * ((self.war * self.R) ** 2) @@ -1158,17 +1126,6 @@ def _forces(self): * fdiss ) - # Bp = Decimal( - # JP - # * ((self.war * self.R) ** 2) - # * Mi[ki, kj] - # / self.Cp - # * self.dN - # * dksi - # * fdiss - # ) - - # Vectorizing k = k + 1 b[k - 1] = Bp @@ -1265,18 +1222,9 @@ def _forces(self): ki = 0 nn = 0 - # t = solve( - # Mat_coef, b - # ) # vectorized temperature field calculation - + # Linear system solution via pseudoinverse for robustness t = np.dot(pinv(Mat_coef), b) - # new_a = fp.matrix(Mat_coef) - # new_b = fp.matrix(b) - # t2 = fp.lu_solve(new_a, new_b) - - # residual(Mat_coef, t, b) - # Temperature matrix ---------------------- cont = 0 From 2bf741d6e66d9a817142cfc2a4108e69563ef1f6 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 13:56:09 -0300 Subject: [PATCH 125/138] T_novo fix --- ross/fluid_flow/tilting_pad.py | 12 +++++------- 1 file changed, 5 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 35d05fabd..8d4f18a73 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -157,7 +157,7 @@ def _forces(self): # Temperature field T = np.zeros((self.nN, self.ntheta)) - T1 = np.zeros((self.nN, self.ntheta, npad)) + T1 = np.zeros((self.nN + 2, self.ntheta + 2, npad)) # Field derivatives dudx = np.zeros((self.nN + 2)) @@ -1241,7 +1241,7 @@ def _forces(self): # function of the temperature. # 3D temperature field ----------------------------------------------------- - TT = np.zeros(self.nZ, self.nX, self.nN) + TT = np.zeros((self.nZ, self.nX, self.nN)) for k in range(0, self.nN): for j in range(0, self.nX): TT[:, j, k] = T[k, j] @@ -1261,15 +1261,13 @@ def _forces(self): T_novo[0,] = T_novo[ 1, ] - T_novo[self.nN + 1,] = T_novo[ - self.nN, - ] - T_novo[1 : self.nN, 0] = Tmist[1, self.nN] + T_novo[self.nN + 1, :] = T_novo[self.nN, :] + T_novo[1 : self.nN, 0] = Tmist[1 : self.nN] T_novo[:, self.nX + 1] = T_novo[:, self.nX] # WHILE ENDS HERE ========================================================== - T1[:, :, n_p] = T_novo + T1[:, :, n_p] = T_novo[:, :] P1[:, :, n_p] = PPdim yh = ( From 447727fd274a568204ff5732d17babaf0c475f95 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 13:57:37 -0300 Subject: [PATCH 126/138] T1 and P1 sizing fix --- ross/fluid_flow/tilting_pad.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 8d4f18a73..1d48c68b4 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -153,11 +153,11 @@ def _forces(self): # Pressure field P = np.zeros((self.ntheta, self.ntheta)) - P1 = np.zeros((self.ntheta, self.ntheta, npad)) + P1 = np.zeros((self.ntheta + 1, self.ntheta + 1, npad + 1)) # Temperature field T = np.zeros((self.nN, self.ntheta)) - T1 = np.zeros((self.nN + 2, self.ntheta + 2, npad)) + T1 = np.zeros((self.nN + 2, self.ntheta + 2, npad + 1)) # Field derivatives dudx = np.zeros((self.nN + 2)) From aa7b46629045ad5c3f7d740b197ebbcbc60a69c8 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 14:35:14 -0300 Subject: [PATCH 127/138] Full code running! Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1d48c68b4..d00cd17f5 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -135,7 +135,7 @@ def _forces(self): T_ref = self.Tcuba # Startup - npad = self.npad - 1 + npad = self.npad Tmist = T_ref * np.ones((self.nN + 2)) # Initial viscosity field @@ -681,7 +681,7 @@ def _forces(self): ) # vw(ki,kj,kk)=dPdz*G1-(FF1/FF0*dPdz)*G0; - vw[ki, kj, kk] = dPdz * G1 - (FF1 / FF0 * dPdz) * G0 + vw[ki, kj, kk] = dPdz * G1 - ((FF1 / FF0) * dPdz) * G0 kj = kj + 1 @@ -944,7 +944,7 @@ def _forces(self): us = 0.5 * (uP + uS) ve = 0.5 * (vP + vE) - vw = 0.5 * (vP + vW) + # vw = 0.5 * (vP + vW) vn = 0.5 * (vP + vN) vs = 0.5 * (vP + vS) @@ -1278,11 +1278,12 @@ def _forces(self): + np.cos(self.Xtheta) * (xr + self.Rs - self.R - self.Cr) ) ) - for jj in range(0, self.nX + 1): - YH[:, jj, n_p] = np.fliplr(np.linspace(0, yh[jj], self.nN + 2)) + for jj in range(0, self.nX + 2): + aux_yh = np.linspace(0, yh[jj], self.nN + 2) + YH[:, jj, n_p] = aux_yh[::-1] # Integration of pressure field - HydroForces - auxF = np.array([np.cos(self.Xtheta[0:-1]), np.sin(self.Xtheta[0:-1])]) + auxF = np.array([np.cos(self.Xtheta[1:-2]), np.sin(self.Xtheta[1:-2])]) dA = self.dx * self.dz auxP = P1[1:-1, 1:-1, n_p] * dA @@ -1307,6 +1308,7 @@ def _forces(self): # END PADS FOR LOOP =============================================================== + score = np.zeros([self.npad]) score[0] = My[0] score[1] = My[1] score[2] = My[2] @@ -1368,7 +1370,6 @@ def run(self): alpha = 0 # * (2 * np.pi * 5) * alpha # Geometric parameters for the bearing -------------------------------------------- - # Journal radius R = 0.5 * 930e-3 @@ -1387,8 +1388,8 @@ def run(self): # Bength of bearing L = 197e-3 # [m] - # Angular position of the pivot - sigma = np.array([0, 300, 60]) # [degree] + # Angular position of the pivots [degrees] + sigma = np.array([0, 60, 120, 180, 240, 300]) # Bearing loading fR = 90.6e3 # [N] @@ -1400,7 +1401,6 @@ def run(self): T_ref = Tcuba # [Celsius] # Thermal properties for the oil ---------------------------------------------------- - # Thermal conductivity kt = 0.07031 * np.exp(484.1 / (Tcuba + 273.15 + 474)) # [J/s.m.C] From 08fc6a23d9a1cc1ec60b886d3b688be7d8d8feee Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 15:05:05 -0300 Subject: [PATCH 128/138] PPdim fix Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index d00cd17f5..3fe0387d7 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -535,20 +535,20 @@ def _forces(self): if P[i, j] < 0: P[i, j] = 0 - # Pressure border conditions ==================================================== - for i in range(0, self.nZ - 1): # Loop in Z - for j in range(0, self.ntheta - 1): # Loop in THETA - if P[i, j] < 0: - P[i, j] = 0 + ## Pressure border conditions ==================================================== + # for i in range(0, self.nZ - 1): # Loop in Z + # for j in range(0, self.ntheta - 1): # Loop in THETA + # if P[i, j] < 0: + # P[i, j] = 0 # Dimmensional pressure determination in Pascals Pdim = (P * self.mi_ref * self.war * (self.Rs ** 2)) / (self.Cr ** 2) # Full pressure field with borders - PPdim = np.zeros((self.nZ + 1, self.ntheta + 1)) + PPdim = np.zeros((self.nZ + 2, self.ntheta + 2)) - for i in range(0, self.nZ - 1): # Loop in Z - for j in range(0, self.ntheta - 1): # Loop in THETA + for i in range(1, self.nZ + 1): # Loop in Z + for j in range(1, self.ntheta + 1): # Loop in THETA PPdim[i, j] = Pdim[i - 1, j - 1] # %%%%%%%%%%%%%%%%%%% Temperature field solution %%%%%%%%%%%%%%%%%%% @@ -1295,8 +1295,8 @@ def _forces(self): 1, ] - auxFx = auxP * vector_auxF_x.T - auxFy = auxP * vector_auxF_y.T + auxFx = np.dot(auxP, vector_auxF_x.T) + auxFy = np.dot(auxP, vector_auxF_y.T) fxj[n_p] = -np.sum(auxFx) fyj = -np.sum(auxFy) From c7feaa253bedfb2260f4407632b0039c1a45fc5e Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 15:28:03 -0300 Subject: [PATCH 129/138] Pdim fixes Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 15 +++++++++------ 1 file changed, 9 insertions(+), 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 3fe0387d7..95d2af4d8 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -153,11 +153,12 @@ def _forces(self): # Pressure field P = np.zeros((self.ntheta, self.ntheta)) - P1 = np.zeros((self.ntheta + 1, self.ntheta + 1, npad + 1)) + # P1 = np.zeros((self.ntheta + 2, self.ntheta + 2, npad)) + P1 = np.zeros((self.ntheta, self.ntheta, npad)) # Temperature field T = np.zeros((self.nN, self.ntheta)) - T1 = np.zeros((self.nN + 2, self.ntheta + 2, npad + 1)) + T1 = np.zeros((self.nN + 2, self.ntheta + 2, npad)) # Field derivatives dudx = np.zeros((self.nN + 2)) @@ -1267,8 +1268,9 @@ def _forces(self): # WHILE ENDS HERE ========================================================== - T1[:, :, n_p] = T_novo[:, :] - P1[:, :, n_p] = PPdim + T1[:, :, n_p] = T_novo + # P1[:, :, n_p] = PPdim + P1[:, :, n_p] = Pdim yh = ( self.Rs @@ -1283,10 +1285,11 @@ def _forces(self): YH[:, jj, n_p] = aux_yh[::-1] # Integration of pressure field - HydroForces - auxF = np.array([np.cos(self.Xtheta[1:-2]), np.sin(self.Xtheta[1:-2])]) + auxF = np.array([np.cos(self.Xtheta[1:-1]), np.sin(self.Xtheta[1:-1])]) dA = self.dx * self.dz - auxP = P1[1:-1, 1:-1, n_p] * dA + # auxP = P1[1:-2, 1:-2, n_p] * dA + auxP = P1[:, :, n_p] * dA vector_auxF_x = auxF[ 0, From 9c84728d4dc928c4f17d671dfdfaec6106da545c Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 12 Feb 2021 16:28:01 -0300 Subject: [PATCH 130/138] b and matcoef comparison data uploaded Co-authored-by: Marcus Filipe Sousa Reis --- ross/fluid_flow/tilting_pad.py | 21 +++++++++++++++++---- 1 file changed, 17 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 95d2af4d8..1354e2e22 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1223,6 +1223,19 @@ def _forces(self): ki = 0 nn = 0 + matcoef_test = np.loadtxt( + "/home/verg1lio/Desktop/ross/ross/fluid_flow/matcoef.txt" + ) + b_test = np.loadtxt("/home/verg1lio/Desktop/ross/ross/fluid_flow/b.txt") + + error_matcoef = np.abs(matcoef_test - Mat_coef) + error_b = np.abs(b_test - b) + + error_arg1 = np.where(error_matcoef > 1e-4) + error_arg2 = np.where(error_b > 1e-4) + + lalalalla = 1 + # Linear system solution via pseudoinverse for robustness t = np.dot(pinv(Mat_coef), b) @@ -1248,10 +1261,10 @@ def _forces(self): TT[:, j, k] = T[k, j] # Regression equation coefficients - a = 5.506e-09 - b = 5012 - c = 0.1248 - minovo = a * np.exp(b / (TT + 273.15 + c)) + a_c = 5.506e-09 + b_c = 5012 + c_c = 0.1248 + minovo = a_c * np.exp(b_c / (TT + 273.15 + c_c)) k = 0 # Full temperature matrix, including borders From 09ebf158577ba36e57cce31eff9ca256173b2912 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 16 Apr 2021 10:24:58 -0300 Subject: [PATCH 131/138] K and C coefficients determination, as by @elyqg --- ross/fluid_flow/b.txt | 1440 ++++++++++++++++++++++++++++++++ ross/fluid_flow/matcoef.txt | 1440 ++++++++++++++++++++++++++++++++ ross/fluid_flow/tilting_pad.py | 138 ++- 3 files changed, 3014 insertions(+), 4 deletions(-) create mode 100644 ross/fluid_flow/b.txt create mode 100644 ross/fluid_flow/matcoef.txt diff --git a/ross/fluid_flow/b.txt b/ross/fluid_flow/b.txt new file mode 100644 index 000000000..a691a2877 --- /dev/null +++ b/ross/fluid_flow/b.txt @@ -0,0 +1,1440 @@ + 8.1081203e+00 + 1.4385487e-02 + 1.4130899e-02 + 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diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 1354e2e22..f7574d8a1 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -765,9 +765,7 @@ def _forces(self): (ydim1[1:] - ydim1[0:-1]) * (auxD[1:] + auxD[0:-1]) ) - vv[ki, kj,] = ( - -intv + hpt - ) + vv[ki, kj,] = -intv + hpt kj = kj + 1 kj = 0 @@ -1356,6 +1354,138 @@ def run(self): Fhx, Fhy = self._forces() print(f"Fhx = {Fhx}\nFhy = {Fhy}\n") + def coefficients(self, show_coef=False): + """Calculates the dynamic coefficients of stiffness "k" and damping "c". + The formulation is based in application of virtual displacements and speeds + on the rotor from its equilibrium position to determine the bearing stiffness + and damping coefficients. + + Parameters + ---------- + show_coef : bool + Set it True, to print the calculated coefficients. + False by default. + Returns + ------- + coefs : tuple + Bearing stiffness and damping coefficients. + Its shape is: ((kxx, kxy, kyx, kyy), (cxx, cxy, cyx, cyy)) + """ + if self.equilibrium_pos is None: + self.run([0.1, -0.1], True, True) + self.coefficients() + else: + xeq = self.equilibrium_pos[0] * self.c_r * np.cos(self.equilibrium_pos[1]) + yeq = self.equilibrium_pos[0] * self.c_r * np.sin(self.equilibrium_pos[1]) + + dE = 0.001 + epix = np.abs(dE * self.c_r * np.cos(self.equilibrium_pos[1])) + epiy = np.abs(dE * self.c_r * np.sin(self.equilibrium_pos[1])) + + Va = self.speed * (self.R) + epixpt = 0.000001 * np.abs(Va * np.sin(self.equilibrium_pos[1])) + epiypt = 0.000001 * np.abs(Va * np.cos(self.equilibrium_pos[1])) + + Aux01 = self._forces(xeq + epix, yeq, 0, 0) + Aux02 = self._forces(xeq - epix, yeq, 0, 0) + Aux03 = self._forces(xeq, yeq + epiy, 0, 0) + Aux04 = self._forces(xeq, yeq - epiy, 0, 0) + + Aux05 = self._forces(xeq, yeq, epixpt, 0) + Aux06 = self._forces(xeq, yeq, -epixpt, 0) + Aux07 = self._forces(xeq, yeq, 0, epiypt) + Aux08 = self._forces(xeq, yeq, 0, -epiypt) + + # Ss = self.sommerfeld(Aux08[0],Aux08[1]) + + Kxx = -self.sommerfeld(Aux01[0], Aux02[1]) * ( + (Aux01[0] - Aux02[0]) / (epix / self.c_r) + ) + Kxy = -self.sommerfeld(Aux03[0], Aux04[1]) * ( + (Aux03[0] - Aux04[0]) / (epiy / self.c_r) + ) + Kyx = -self.sommerfeld(Aux01[1], Aux02[1]) * ( + (Aux01[1] - Aux02[1]) / (epix / self.c_r) + ) + Kyy = -self.sommerfeld(Aux03[1], Aux04[1]) * ( + (Aux03[1] - Aux04[1]) / (epiy / self.c_r) + ) + + Cxx = -self.sommerfeld(Aux05[0], Aux06[0]) * ( + (Aux06[0] - Aux05[0]) / (epixpt / self.c_r / self.speed) + ) + Cxy = -self.sommerfeld(Aux07[0], Aux08[0]) * ( + (Aux08[0] - Aux07[0]) / (epiypt / self.c_r / self.speed) + ) + Cyx = -self.sommerfeld(Aux05[1], Aux06[1]) * ( + (Aux06[1] - Aux05[1]) / (epixpt / self.c_r / self.speed) + ) + Cyy = -self.sommerfeld(Aux07[1], Aux08[1]) * ( + (Aux08[1] - Aux07[1]) / (epiypt / self.c_r / self.speed) + ) + + kxx = (np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / self.c_r) * Kxx + kxy = (np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / self.c_r) * Kxy + kyx = (np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / self.c_r) * Kyx + kyy = (np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / self.c_r) * Kyy + + cxx = ( + np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / (self.c_r * self.speed) + ) * Cxx + cxy = ( + np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / (self.c_r * self.speed) + ) * Cxy + cyx = ( + np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / (self.c_r * self.speed) + ) * Cyx + cyy = ( + np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) / (self.c_r * self.speed) + ) * Cyy + + if show_coef: + print(f"kxx = {kxx}") + print(f"kxy = {kxy}") + print(f"kyx = {kyx}") + print(f"kyy = {kyy}") + + print(f"cxx = {cxx}") + print(f"cxy = {cxy}") + print(f"cyx = {cyx}") + print(f"cyy = {cyy}") + + coefs = ((kxx, kxy, kyx, kyy), (cxx, cxy, cyx, cyy)) + + return coefs + + def sommerfeld(self, force_x, force_y): + """Calculate the sommerfeld number. This dimensionless number is used to calculate the dynamic coeficients. + Parameters + ---------- + force_x : float + Force in x direction. The unit is newton. + force_y : float + Force in y direction. The unit is newton. + Returns + ------- + Ss : float + Sommerfeld number. + """ + if self.sommerfeld_type == 1: + S = (self.mu_ref * ((self.R) ** 3) * self.L * self.speed) / ( + np.pi * (self.c_r ** 2) * np.sqrt((self.Wx ** 2) + (self.Wy ** 2)) + ) + + elif self.sommerfeld_type == 2: + S = 1 / ( + 2 + * ((self.L / (2 * self.R)) ** 2) + * (np.sqrt((force_x ** 2) + (force_y ** 2))) + ) + + Ss = S * ((self.L / (2 * self.R)) ** 2) + + return Ss + if __name__ == "__main__": @@ -1473,4 +1603,4 @@ def run(self): nN, ) mancal.run() - # mancal.coefficients() \ No newline at end of file + # mancal.coefficients() From d29a390da88b6662444a6071f44e9f4c8b7ae521 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 22 Apr 2021 15:28:46 -0300 Subject: [PATCH 132/138] Documentation added and class name change --- ross/fluid_flow/tilting_pad.py | 98 +++++++++++++++++++++++++++++++++- 1 file changed, 97 insertions(+), 1 deletion(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f7574d8a1..50c0fdb33 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -4,7 +4,103 @@ from decimal import Decimal -class Tilting: +class TiltingPadBearing: + + """This class calculates the pressure, velocity, and temperature field in oil film of a + thermo-hydro-dynamic tilting-pad bearing, with "n" pads. It is also possible to obtain + the stiffness and damping coefficients. + + Parameters + ---------- + + Cr : float + Radial clearance + + Tcuba : float + Oil tank temperature + + R : float + Journal radius [m] + + Rs : float + Pad radius [m] + + esp : float + Pad radius [m] + + betha_s : float + Pad arc [degrees] + + rp_pad : float + Pivot position [arc pivot/arc pad] + + L : float + Length of bearing [m] + + fR : float + Bearing loading [N] + + wa : float + Rotor speed [rpm] + + ntheta: float + Number of volumes in theta direction + + nX = ntheta : float + Number of volumes in x direction + + nZ: float + Number of volumes in z direction + + nN: float + Number of volumes in neta direction + + Returns + ------- + A TiltingPadBearing object. + + References + ---------- + .. [1] BARBOSA, J. S.; LOBATO, FRAN S.; CAMPANINE SICCHIERI, LEONARDO;CAVALINI JR, ALDEMIR AP. + ; STEFFEN JR, VALDER. Determinação da Posição de Equilíbrio em Mancais Hidrodinâmicos Cilíndricos + usando o Algoritmo de Evolução Diferencial. REVISTA CEREUS, v. 10, p. 224-239, 2018. .. + .. [2] DANIEL, G.B. Desenvolvimento de um Modelo Termohidrodinâmico para Análise em Mancais + Segmentados. Campinas: Faculdade de Engenharia Mecânica, Universidade Estadual de Campinas, + 2012. Tese (Doutorado). .. + .. [3] NICOLETTI, R., Efeitos Térmicos em Mancais Segmentados Híbridos – Teoria e Experimento. + 1999. Dissertação de Mestrado. Universidade Estadual de Campinas, Campinas. .. + + Attributes + ---------- + Pdim : array + Dimensional pressure field. The unit is pascal. + dPdz : array + Differential pressure field in z direction. + dPdy : array + Differential pressure field in theta direction. + Tdim : array + Dimensional temperature field. The unit is celsius. + Fhx : float + Force in X direction. The unit is newton. + Fhy : float + Force in Y direction. The unit is newton. + equilibrium_pos : array + Array with excentricity ratio and attitude angle information. + Its shape is: array([excentricity, angle]) + + Examples + -------- + + ##### STIL TO BE UPDATED ONCE MERGED, WILL BE DONE IN A FUTURE PR ##### + + >>> from ross.fluid_flow.cylindrical import cylindrical_bearing_example + >>> x0 = [0.1,-0.1] + >>> bearing = cylindrical_bearing_example() + >>> bearing.run(x0) + >>> bearing.equilibrium_pos + array([ 0.58768737, -0.67319389]) + """ + def __init__( self, R, From de84f3c3fabe19756bc9725148a5ab5f4679d3b3 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 22 Apr 2021 15:32:32 -0300 Subject: [PATCH 133/138] Removing unused code --- ross/fluid_flow/tilting_pad.py | 6 ------ 1 file changed, 6 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 50c0fdb33..04995bcf2 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -632,12 +632,6 @@ def _forces(self): if P[i, j] < 0: P[i, j] = 0 - ## Pressure border conditions ==================================================== - # for i in range(0, self.nZ - 1): # Loop in Z - # for j in range(0, self.ntheta - 1): # Loop in THETA - # if P[i, j] < 0: - # P[i, j] = 0 - # Dimmensional pressure determination in Pascals Pdim = (P * self.mi_ref * self.war * (self.Rs ** 2)) / (self.Cr ** 2) From dae4ee9f50fc0bc8571a5ba69f775eaf19945244 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 22 Apr 2021 15:34:04 -0300 Subject: [PATCH 134/138] commented testing code, still useable in next PR --- ross/fluid_flow/tilting_pad.py | 21 +++++++++------------ 1 file changed, 9 insertions(+), 12 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 04995bcf2..f72383662 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1311,18 +1311,15 @@ def _forces(self): ki = 0 nn = 0 - matcoef_test = np.loadtxt( - "/home/verg1lio/Desktop/ross/ross/fluid_flow/matcoef.txt" - ) - b_test = np.loadtxt("/home/verg1lio/Desktop/ross/ross/fluid_flow/b.txt") - - error_matcoef = np.abs(matcoef_test - Mat_coef) - error_b = np.abs(b_test - b) - - error_arg1 = np.where(error_matcoef > 1e-4) - error_arg2 = np.where(error_b > 1e-4) - - lalalalla = 1 + # matcoef_test = np.loadtxt( + # "/home/verg1lio/Desktop/ross/ross/fluid_flow/matcoef.txt" + # ) + # b_test = np.loadtxt("/home/verg1lio/Desktop/ross/ross/fluid_flow/b.txt") + # error_matcoef = np.abs(matcoef_test - Mat_coef) + # error_b = np.abs(b_test - b) + # error_arg1 = np.where(error_matcoef > 1e-4) + # error_arg2 = np.where(error_b > 1e-4) + # lalalalla = 1 # Linear system solution via pseudoinverse for robustness t = np.dot(pinv(Mat_coef), b) From 7f9fd286714c209dc48757afa29367fa45623992 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Thu, 22 Apr 2021 15:37:45 -0300 Subject: [PATCH 135/138] Removing debug user outputs from code --- ross/fluid_flow/tilting_pad.py | 11 ++++------- 1 file changed, 4 insertions(+), 7 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index f72383662..30cf5c626 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1333,11 +1333,9 @@ def _forces(self): cont = cont + 1 # Viscosity equation ======================================================================== - # VG68 - Polynomial adjustment using predetermined values - # - # Via Oil_Regression_Analyses.m and propvalue.m the equation coefficients - # are obtained for the regression on the viscosity determination as a - # function of the temperature. + # VG68 - Polynomial adjustment using predetermined values. The equation + # coefficients are obtained for the regression on the viscosity determination + # as a function of the temperature. # 3D temperature field ----------------------------------------------------- TT = np.zeros((self.nZ, self.nX, self.nN)) @@ -1367,7 +1365,6 @@ def _forces(self): # WHILE ENDS HERE ========================================================== T1[:, :, n_p] = T_novo - # P1[:, :, n_p] = PPdim P1[:, :, n_p] = Pdim yh = ( @@ -1439,7 +1436,7 @@ def _forces(self): def run(self): Fhx, Fhy = self._forces() - print(f"Fhx = {Fhx}\nFhy = {Fhy}\n") + # print(f"Fhx = {Fhx}\nFhy = {Fhy}\n") def coefficients(self, show_coef=False): """Calculates the dynamic coefficients of stiffness "k" and damping "c". From f466627c5dd522aa1a54625ec6307fbd7e7cb79d Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Fri, 23 Apr 2021 14:00:48 -0300 Subject: [PATCH 136/138] Naming corrections and standardization --- ross/fluid_flow/tilting_pad.py | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 30cf5c626..61bf26443 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1577,7 +1577,7 @@ def sommerfeld(self, force_x, force_y): E = 0.5 # optim values from legacy codes - x = np.array( + psi_pad = np.array( [ 0.000401905634685165, 0.000210288009621476, @@ -1587,8 +1587,8 @@ def sommerfeld(self, force_x, force_y): 0.000574699109242178, ] ) - # psi_pad = x - psi_pad = np.array([x[0], x[1], x[2], x[3], x[4], x[5]]) + + # Number of pads npad = 6 # Radial clearance @@ -1660,7 +1660,7 @@ def sommerfeld(self, force_x, force_y): # Number of volumes in neta direction nN = 30 - mancal = Tilting( + mancal = TiltingPadBearing( R, Rs, esp, From 214c758901482322e12e63c99af3dbcc3c849434 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 26 Apr 2021 10:13:16 -0300 Subject: [PATCH 137/138] Testing/example def creation with legacy values --- ross/fluid_flow/tilting_pad.py | 142 +++++++++++++++------------------ 1 file changed, 64 insertions(+), 78 deletions(-) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index 61bf26443..e06ae3bd8 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -1571,12 +1571,23 @@ def sommerfeld(self, force_x, force_y): return Ss -if __name__ == "__main__": - - phi = 30 * np.pi / 180 - E = 0.5 +def tilting_pad_bearing_example(): + """Create an example of a tilting pad bearing with termo hydrodynamic effects. + This function returns pressure and temperature fields as well as the dynamic + coefficients. The purpose is to make available a simple model so that a doctest + can be written using it. + Returns + ------- + TiltingPadBearing : ross.TiltingPadBearing Object + An instance of a termo-hydrodynamic tilting pad bearing model object. + Examples + -------- + >>> bearing = tilting_pad_bearing_example() + >>> bearing.L + 0.263144 + """ - # optim values from legacy codes + # optimized near hit position values from legacy codes psi_pad = np.array( [ 0.000401905634685165, @@ -1588,79 +1599,50 @@ def sommerfeld(self, force_x, force_y): ] ) - # Number of pads - npad = 6 - - # Radial clearance - Cr = 250e-6 - - # Oil tank temperature - Tcuba = 40 + # General properties + phi = 30 * np.pi / 180 + E = 0.5 + # Bearing properties + npad = 6 # Number of pads + Cr = 250e-6 # Radial clearance + Tcuba = 40 # Oil tank temperature alpha = 0 # * (2 * np.pi * 5) * alpha - - # Geometric parameters for the bearing -------------------------------------------- - # Journal radius - R = 0.5 * 930e-3 - - # Pad radius - Rs = 0.5 * 934e-3 # [m] - - # Pad thickness - esp = 67e-3 # [m] - - # Pad arc - betha_s = 25 # [degree] - - # Pivot position (arc pivot/arc pad) - rp_pad = 0.6 - - # Bength of bearing - L = 197e-3 # [m] - - # Angular position of the pivots [degrees] - sigma = np.array([0, 60, 120, 180, 240, 300]) - - # Bearing loading - fR = 90.6e3 # [N] - - # Rotor speed - wa = 300 # [rpm] - - # Reference temperature - T_ref = Tcuba # [Celsius] - - # Thermal properties for the oil ---------------------------------------------------- - # Thermal conductivity - kt = 0.07031 * np.exp(484.1 / (Tcuba + 273.15 + 474)) # [J/s.m.C] - - # Specific heat - Cp = (16.5 * np.exp(-2442 / (Tcuba + 273.15 + 829.1))) * 1e3 # [J/kgC] - - # Specific mass - rho = 0.04514 * np.exp(9103 / (Tcuba + 273.15 + 2766)) * 1e3 # [kg/m**2] - - # Reference viscosity - # mi_ref=0.0752 - mi_ref = 5.506e-09 * np.exp(5012 / (Tcuba + 273.15 + 0.1248)) # [N.s/m**2] - - # Bearing Position --------------------------------------------------------- - - # Discretized Mesh ------------------------------------------------------ - - # Number of volumes in theta direction - ntheta = 48 - - # Number of volumes in x direction - nX = ntheta - - # Number of volumes in z direction - nZ = 48 - - # Number of volumes in neta direction - nN = 30 - - mancal = TiltingPadBearing( + R = 0.5 * 930e-3 # Journal radius + Rs = 0.5 * 934e-3 # Pad radius [m] + esp = 67e-3 # Pad thickness [m] + betha_s = 25 # Pad arc [degree] + rp_pad = 0.6 # Pivot position (arc pivot/arc pad) + L = 197e-3 # Bength of bearing [m] + sigma = np.array( + [0, 60, 120, 180, 240, 300] + ) # Angular position of the pivots [degrees] + fR = 90.6e3 # Bearing loading [N] + wa = 300 # Rotor speed [rpm] + + # Oil properties + T_ref = Tcuba # Reference temperature [Celsius] + kt = 0.07031 * np.exp( + 484.1 / (Tcuba + 273.15 + 474) + ) # Thermal conductivity [J/s.m.C] + Cp = ( + 16.5 * np.exp(-2442 / (Tcuba + 273.15 + 829.1)) + ) * 1e3 # Specific heat [J/kgC] + rho = ( + 0.04514 * np.exp(9103 / (Tcuba + 273.15 + 2766)) * 1e3 + ) # Specific mass [kg/m**2] + mi_ref = 5.506e-09 * np.exp( + 5012 / (Tcuba + 273.15 + 0.1248) + ) # Reference viscosity [N.s/m**2] + sommerfeld_type = 2 # Sommerfeld number calculation technique + + # Meshing properties (both Finite Volumes, Differences, and Elements) + ntheta = 48 # Number of volumes in theta direction + nX = ntheta # Number of volumes in x direction + nZ = 48 # Number of volumes in z direction + nN = 30 # Number of volumes in neta direction + + THD_tilting_pad = TiltingPadBearing( R, Rs, esp, @@ -1685,6 +1667,10 @@ def sommerfeld(self, force_x, force_y): nX, nZ, nN, + sommerfeld_type, ) - mancal.run() - # mancal.coefficients() + THD_tilting_pad.run() + THD_tilting_pad.coefficients() + + return THD_tilting_pad + From 536c99881ff7caed1657d7ad6fb574da7b919d36 Mon Sep 17 00:00:00 2001 From: Vergilio Del Claro Date: Mon, 26 Apr 2021 17:50:56 -0300 Subject: [PATCH 138/138] Coefs outpux minor fix --- ross/fluid_flow/tilting_pad.py | 1 + 1 file changed, 1 insertion(+) diff --git a/ross/fluid_flow/tilting_pad.py b/ross/fluid_flow/tilting_pad.py index e06ae3bd8..5faec4177 100644 --- a/ross/fluid_flow/tilting_pad.py +++ b/ross/fluid_flow/tilting_pad.py @@ -127,6 +127,7 @@ def __init__( nX, nZ, nN, + coefs, ): self.R = R self.Rs = Rs