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pyconduct.py
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pyconduct.py
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import numpy as np
import matplotlib.pyplot as plt
from scipy import sparse
from scipy.sparse import coo_matrix
import scipy.sparse.linalg
from numba import jit
#from matplotlib.mlab import griddata
from scipy.interpolate import griddata
class PyConduct():
def __init__(self):
# Mesh
self.lx = 1.
self.ly = 1.
self.ncvx = 5
self.ncvy = 5
# Plot
self.name = "contour"
self.ndec = 2
self.cmapStyle = "jet"
# Monitors
self.monitors = np.array([[0,0], [self.lx * 0.5, self.ly * 0.5], [self.lx, self.ly]])
self.monNames = np.array(["node1", "node2", "node3"])
self.reportMon = 10
# Control
self.tolnl = 1e-6
self.alertnl = 100
self.reportBlackW = 50
self.reportContour = 1000
self.timeEnd = 1.
self.gammaFunction = gammaPYC
self.lambFunction = lambPYC
self.unsteadySourcesFunction = unsteadySourcesPYC
self.sourcesVolFunction = sourcesVolPYC
self.sourcesBoundFunction = sourcesBoundPYC
def set_default(self):
self.time = 0.
self.dt = 1.
ncvt = self.ncvx * self.ncvy
nft = self.ncvx * self.ncvy * 2 + self.ncvx + self.ncvy
nfi = nft - 2 * (self.ncvx + self.ncvy)
nfb = nft - nfi
nct = self.ncvx * self.ncvy * 4
nci = nct - 2 * self.ncvx - 2 * self.ncvy
ncb = nct - nci
nvx = self.ncvx + 1
nvy = self.ncvy + 1
nctt = nct + self.ncvx * self.ncvy
ncit = nci + self.ncvx * self.ncvy
self.phi = np.ones(ncvt)
self.phi1 = np.ones(ncvt)
self.phi2 = np.ones(ncvt)
self.gamma = np.ones(ncvt)
self.lamb = np.ones(ncvt)
self.phif = np.ones(nfb)
self.ndist = np.zeros(nctt)
self.ndistf = np.zeros((nctt, 2))
self.sc = np.zeros(ncvt)
self.sp = np.zeros(ncvt)
self.coef = np.zeros(nctt)
self.ap = np.zeros(ncvt)
self.b = np.zeros(ncvt)
self.apt = np.zeros(ncvt)
self.act = np.zeros(ncvt)
# solver
# 1: Direct, 2: CG, 3: GMRES, 4: LGMRES, 5: MINRES, 6: QMR
self.sol = 2
self.tol = 1e-6
self.cellC = np.zeros((nctt, 4), dtype = int)
self.tolNl = 1e-6
self.alertNl = 100
self.writeContour = 250
self.reportBlackW = 50
self.reportContour = 1000
self.indCI = np.zeros(ncit, dtype = int)
self.indCB = np.zeros(ncb, dtype = int)
self.indCN = np.zeros(nci, dtype = int)
self.indCII = np.zeros(self.ncvx * self.ncvy, dtype = int)
self.diffc = np.zeros(nci, dtype = float)
self.vvrr = np.zeros(len(self.cellC[:,0]))
self.nmon = len(self.monitors[:,0])
self.nodev = np.zeros(self.nmon, dtype=int)
self.vertexC = np.zeros((self.ncvx * self.ncvy, 4), dtype = int)
self.vertexID = np.linspace(0, nvx * nvy - 1, nvx * nvy , dtype = int)
self.xv = np.zeros(nvx * nvy, dtype = float)
self.yv = np.zeros(nvx * nvy, dtype = float)
self.x1d = np.linspace(0., self.lx, nvx)
self.y1d = np.linspace(0., self.ly, nvy)
self.faceV = np.zeros((nft, 2), dtype = int)
self.vertexC = np.zeros((self.ncvx * self.ncvy, 4), dtype = int)
self.vertexID = np.linspace(0, nvx * nvy - 1, nvx * nvy , dtype = int)
self.xf = np.zeros(nft, dtype = float)
self.yf = np.zeros(nft, dtype = float)
self.af = np.zeros(nft)
self.nf = np.zeros((len(self.indCN), 2))
self.cvol = np.zeros(ncvt)
self.bcnS = np.zeros(self.ncvx, dtype = int)
self.bcnN = np.zeros(self.ncvx, dtype = int)
self.bcnE = np.zeros(self.ncvy, dtype = int)
self.bcnW = np.zeros(self.ncvy, dtype = int)
self.sources = np.zeros(ncvt, dtype = int)
return
def meshing(self):
self.xv, self.yv = ugridVertex(self.ncvx, self.ncvy, self.lx, self.ly, self.xv, self.yv, self.x1d, self.y1d)
self.faceV = faceVertexC(self.ncvx, self.ncvy, self.faceV)
self.vertexC, self.vertexID = vertex(self.ncvx, self.ncvy, self.vertexC, self.vertexID)
self.cellC = cellConect(self.ncvx, self.ncvy, self.cellC)
self.indCI, self.indCB, self.indCN, self.indCII = \
indexC(self.ncvx, self.ncvy, self.cellC, self.indCI, self.indCB, self.indCN, self.indCII)
self.xc, self.yc = cellCenter2(self.vertexC, self.xv, self.yv, self.ncvx, self.ncvy)
self.xf, self.yf = faceCenter(self.faceV, self.xv, self.yv, self.ncvx, self.ncvy, self.xf, self.yf)
self.af = Af(self.ncvx, self.ncvy, self.faceV, self.xf, self.yf, self.xv, self.yv, self.af)
self.nf = faceNormal(self.indCN, self.cellC, self.xc, self.yc, self.nf)
self.cvol = volume(self.vertexC, self.xv, self.yv, self.ncvx, self.ncvy, self.cvol)
self.bcnS, self.bcnE, self.bcnN, self.bcnW, self.sources = \
boundaryIndex(self.ncvx, self.ncvy, self.cellC, self.indCB, \
self.bcnS, self.bcnN, self.bcnE, self.bcnW, self.sources)
self.ndist, self.ndistf = nodalDist2(self.ncvx, self.ncvy, \
self.cellC, self.xc, self.yc, self.xf, self.yf, self.ndist, self.ndistf)
return
def run_simulation(self):
self.I = self.cellC[self.indCI,0]
self.J = self.cellC[self.indCI,1]
nodesM = findNodes(self.monitors, self.xv, self.yv, self.xc, self.yc, self.vertexC, self.nodev, self.nmon)
archMonitors = open("monitors.csv", "w")
self.phi1[:] = self.phi[:]
self.phi2[:] = self.phi[:]
timer = 0.
titer = 0
while timer < self.timeEnd:
errNl = 1.
countIterNl = 0
while errNl >= self.tolNl:
phi0Nl = self.phi
#################################################################################################
#self.gammaFunction = gammaPYC
#self.lambFunction = lambPYC
#self.unsteadySourcesFunction = unsteadySourcesPYC
#self.sourcesVolFunction = sourcesVolPYC
#self.sourcesBoundFunction = sourcesBoundPYC
self.gamma = calcGamma(self.phi, self.gamma, self.xc, self.yc, self.gammaFunction)
self.lamb = calcLamb(self.phi, self.lamb, self.xc, self.yc, self.lambFunction)
self.sc, self.sp = \
calcSourcesB(self.indCB, self.cellC, self.sc, self.sp, self.ndist, \
self.cvol, self.af, self.gamma, self.lamb, self.xf, self.yf, self.sourcesBoundFunction)
self.sc, self.sp = calcSourcesV(self.sc, self.sp, self.cvol, self.phi, self.xc, self.yc, self.sourcesVolFunction)
self.act, self.apt = \
unsteadyScSp(self.phi, self.phi1, self.phi2, \
self.lamb, self.dt, self.cvol, titer, self.act, self.apt, self.unsteadySourcesFunction)
######################################################################################################
self.diffc = diffCoef(self.ndistf, self.gamma, self.indCN, self.cellC, self.af, self.diffc)
self.ap = calcAp(self.indCN, self.cellC, self.sp, self.diffc, self.ap, self.apt)
self.b = calcbNP(self.sc, self.act, self.b)
self.vvrr = VAL(self.cellC, self.indCN, self.indCII, self.diffc, self.ap, self.vvrr)
self.A = matrixAssemble(self.indCI, self.vvrr, self.cellC, self.ncvx, self.ncvy, self.I, self.J)
self.phi = solvers(self.phi, self.b, self.A, self.tol, self.sol)
self.phif = solverBound2(self.cellC, self.indCB, self.ndist, self.sc, self.sp, self.phi, self.gamma, self.phif, self.ncvx, self.ncvy)
self.vvrr, self.ap, self.sc, self.sp = resetTime(self.vvrr, self.ap, self.sc, self.sp)
errNl = np.mean((phi0Nl - self.phi)**2)
phi0Nl = self.phi
countIterNl += 1
if countIterNl > self.alertNl:
print(f"more than {self.alertNl} iterations have been executed due to non-linearity")
#Postprocessing
if titer % self.writeContour == 0:
writeFile(self.cellC, self.indCB, self.ncvx, self.ncvy, self.xc, self.yc, self.xf, self.yf, self.phi, self.phif, self.name, self.ndec , timer)
if titer % self.reportContour == 0:
writeFile(self.cellC, self.indCB, self.ncvx, self.ncvy, self.xc, self.yc, self.xf, self.yf, self.phi, self.phif, self.name, self.ndec , timer)
contour2(self.lx, self.ly, self.ncvx, self.ncvy, self.name, timer, self.ndec, self.cmapStyle)
generateMonitors(archMonitors, self.phi, titer, self.monNames, nodesM, self.reportMon, timer)
#update phi
self.phi2[:] = self.phi1[:]
self.phi1[:] = self.phi[:]
#next time step
timer += self.dt
titer += 1
if titer % self.reportBlackW == 0:
print("time = " + str(timer) + " iter_t = " + str(titer) + " nl_iter = " \
+ str(countIterNl) + " errNl = " + str(errNl))
archMonitors.close()
print("calculation complete")
#self.gammaFunction = gammaPYC
#self.lambFunction = lambPYC
#self.unsteadySourcesFunction = unsteadySourcesPYC
#self.sourcesVolFunction = sourcesVolPYC
#self.sourcesBoundFunction = sourcesBoundPYC
@jit
def calcGamma(phi, gamma, xc, yc, function):
for i in range(len(phi)):
gamma[i] = function(phi[i], xc[i], yc[i])
return gamma
@jit
def calcLamb(phi, lamb, xc, yc, function):
for i in range(len(phi)):
lamb[i] = function(phi[i], xc[i], yc[i])
return lamb
@jit
def calcSourcesB(indCB, cellC, sc, sp, ndist, cvol, af, gamma, lamb, xf, yf, function):
for i in range(len(indCB)):
ind = indCB[i]
c1 = cellC[ind,0]
idb = cellC[ind,2]
idf = cellC[ind,3]
sci, spi = function(idb, c1, idf, ind, ndist, cvol, af, gamma, lamb, xf, yf)
sc[c1] += sci
sp[c1] += spi
return sc, sp
@jit
def calcSourcesV(sc, sp, cvol, phi, xc, yc, function):
for i in range(len(sc)):
sci, spi = function(i, cvol[i], phi, xc, yc)
sc[i] += sci
sp[i] += spi
return sc, sp
@jit
def unsteadyScSp(phi, phi1, phi2, lamb, dt, cvol, titer, act, apt, function):
for i in range(len(phi)):
apt0, act0 = function(phi, phi1, phi2, lamb, dt, cvol, i, titer)
act[i] = act0
apt[i] = apt0
return act, apt
# 1: Direct, 2: CG, 3: GMRES, 4: LGMRES, 5: MINRES, 6: QMR
def solvers(phi, b, A, tol, sol):
if (sol == 2):
phi, success = scipy.sparse.linalg.cg(A, b, tol = tol, x0 = phi)
elif (sol == 3):
phi, success = scipy.sparse.linalg.gmres(A, b, tol = tol, x0 = phi)
elif (sol == 4):
phi, success = scipy.sparse.linalg.lgmres(A, b, tol = tol, x0 = phi)
elif (sol == 5):
phi, success = scipy.sparse.linalg.minres(A, b, tol = tol, x0 = phi)
elif (sol == 6):
phi, success = scipy.sparse.linalg.qmr(A, b, tol = tol, x0 = phi)
else:
phi = scipy.sparse.linalg.spsolve(A, b)
return phi
@jit
def ugridVertex(ncvx, ncvy, lx, ly, xv, yv, x1d, y1d):
nvx = ncvx + 1
nvy = ncvy + 1
count = 0
for j in range(nvy):
for i in range(nvx):
xv[count] = x1d[i]
count += 1
count = 0
for j in range(nvy):
for i in range(nvx):
yv[count] = y1d[j]
count += 1
return xv, yv
@jit
def faceVertexC(ncvx, ncvy, faceV):
nft = ncvx * ncvy * 2 + ncvx + ncvy
nvx = ncvx + 1
nvy = ncvy + 1
# Caras horizontales
start = 0
add = 2 * ncvx + 1
startL = 0
addL = nvx
startR = 1
addR = nvx
for j in range(nvy):
for i in range(ncvx):
faceV[start + i, 0] = startL + i
faceV[start + i, 1] = startR + i
start += add
startL += addL
startR += addR
#caras verticales
start = ncvx
add = 2 * ncvx + 1
startD = 0
addD = nvx
startU = nvx
addU = nvx
for j in range(ncvy):
for i in range(ncvx + 1):
faceV[start + i, 0] = startD + i
faceV[start + i, 1] = startU + i
#print(start + i, startD + i, startU + i)
start += add
startD += addD
startU += addU
return faceV
@jit
def vertex(ncvx, ncvy, vertexC, vertexID):
nvx = ncvx + 1
nvy = ncvy + 1
ncvt = ncvx * ncvy
#Recorrer vertices sentido horario
suma = 0
count = 0
for i in range(nvy - 1):
for i in range(nvx - 1):
vertexC[count, 0] = i + suma
vertexC[count, 1] = 1 + i + suma
vertexC[count, 2] = nvx + i + 1 + suma
vertexC[count, 3] = nvx + i + suma
count += 1
suma += nvx
return vertexC, vertexID
@jit
def indexC(ncvx, ncvy, cellC, indCI, indCB, indCN, indCII):
#numero de conexiones totales
nct = ncvx * ncvy * 4
#numero de conexiones internas
nci = nct - 2 * ncvx - 2 * ncvy
#numero de conexiones de borde
ncb = nct - nci
#numero de conexiones totales
#considerando conexion consigo mismo
nctt = nct + ncvx * ncvy
ncit = nci + ncvx * ncvy
countb = 0
counti = 0
countii = 0
countn = 0
for i in range(nctt):
if (cellC[i, 1] < 0):
indCB[countb] = i
countb += 1
else:
indCI[counti] = i
counti += 1
if (cellC[i,1] >= 0 and cellC[i,0] != cellC[i,1]):
indCN[countn] = i
countn += 1
if (cellC[i,0] == cellC[i,1]):
indCII[countii] = i
countii += 1
return indCI, indCB, indCN, indCII
def cellCenter2(vertexC, xv, yv, ncvx, ncvy):
ncvt = ncvx * ncvy
xc = np.zeros(ncvt)
yc = np.zeros(ncvt)
xc[:] = (xv[vertexC[:,0]] + xv[vertexC[:,1]] + xv[vertexC[:,2]] + xv[vertexC[:,3]]) / 4.0
yc[:] = (yv[vertexC[:,0]] + yv[vertexC[:,1]] + yv[vertexC[:,2]] + yv[vertexC[:,3]]) / 4.0
return xc, yc
@jit
def faceCenter(faceV, xv, yv, ncvx, ncvy, xf, yf):
nft = ncvx * ncvy * 2 + ncvx + ncvy
for i in range(nft):
xf[i] = 0.5 * (xv[faceV[i,0]] + xv[faceV[i,1]])
yf[i] = 0.5 * (yv[faceV[i,0]] + yv[faceV[i,1]])
return xf, yf
@jit
def Af(ncvx, ncvy, faceV, xf, yf, xv, yv, af):
nft = ncvx * ncvy * 2 + ncvx + ncvy
for i in range(nft):
idv1 = faceV[i,0]
idv2 = faceV[i,1]
af[i] = np.sqrt((xv[idv1] - xv[idv2])**2 + (yv[idv1] - yv[idv2])**2)
return af
@jit
def faceNormal(indCN, cellC, xc, yc, nf):
for i in range(len(indCN)):
ind = indCN[i]
c1 = cellC[ind, 0]
c2 = cellC[ind, 1]
x1 = xc[c1]
y1 = yc[c1]
x2 = xc[c2]
y2 = yc[c2]
dx = x2 - x1
dy = y2 - y1
da = np.sqrt(dx**2 + dy**2)
nf[i,:] = np.array([dx / da, dy / da]) * -1.0
return nf
@jit
def volume(vertexC, xv, yv, ncvx, ncvy, cvol):
ncvt = ncvx * ncvy
for i in range(ncvt):
x0 = xv[vertexC[i,1]]
x1 = xv[vertexC[i,0]]
y0 = yv[vertexC[i,1]]
y1 = yv[vertexC[i,2]]
base = np.abs(x0 - x1)
altura = np.abs(y0 - y1)
cvol[i] = base * altura
return cvol
@jit
def boundaryIndex(ncvx, ncvy, cellC, indCB, bcnS, bcnN, bcnE, bcnW, sources):
#numero de conexiones totales
nct = ncvx * ncvy * 4
#numero de conexiones internas
nci = nct - 2 * ncvx - 2 * ncvy
#numero de conexiones de borde
ncb = nct - nci
#numero de conexiones totales
#considerando conexion consigo mismo
nctt = nct + ncvx * ncvy
ncit = nci + ncvx * ncvy
ncvt = ncvx * ncvy
countS = 0
countN = 0
countE = 0
countW = 0
countC = 0
for i in indCB:
if(cellC[i,2] == 1):
bcnS[countS] = i
countS += 1
elif(cellC[i,2] == 2):
bcnE[countE] = i
countE += 1
elif(cellC[i,2] == 3):
bcnN[countN] = i
countN += 1
else:
bcnW[countW] = i
countW += 1
for i in range(nctt):
if(cellC[i,0] == cellC[i,1]):
sources[countC] = i
countC += 1
return bcnS, bcnE, bcnN, bcnW, sources
@jit
def nodalDist2(ncvx, ncvy, cellC, xc, yc, xf, yf, ndist, ndistf):
#numero de conexiones totales
nct = ncvx * ncvy * 4
#numero de conexiones totales
#considerando conexion consigo mismo
nctt = nct + ncvx * ncvy
for i in range(nctt):
if ( cellC[i,1] >= 0):
#conexion CV
c1 = cellC[i,0]
c2 = cellC[i,1]
if(c1 == c2):
ndistf[i,0] = 0.
ndistf[i,1] = 0.
ndist[i] = 0.
else:
cf = cellC[i,3]
x1 = xc[c1]
x2 = xc[c2]
y1 = yc[c1]
y2 = yc[c2]
xcf = xf[cf]
ycf = yf[cf]
ndistf[i,0] = np.sqrt((x1 - xcf)**2 + (y1 - ycf)**2)
ndistf[i,1] = np.sqrt((x2 - xcf)**2 + (y2 - ycf)**2)
ndist[i] = np.sqrt((x1 - x2)**2 + (y1 - y2)**2)
else:
#conexion de borde
idc = cellC[i,0]
idf = cellC[i,3]
ndistf[i,0] = np.sqrt((xc[idc] - xf[idf])**2 + (yc[idc] - yf[idf])**2)
ndistf[i,1] = 0.
ndist[i] = np.sqrt((xc[idc] - xf[idf])**2 + (yc[idc] - yf[idf])**2)
return ndist, ndistf
@jit
def diffCoef(ndistf, gamma, indCN, cellC, af, diffc):
for i in range(len(indCN)):
ind = indCN[i]
c1 = cellC[ind,0]
c2 = cellC[ind,1]
indf = cellC[ind,3]
diffc[i] = (ndistf[ind,0] / (gamma[c1] + 1.0e-20) + ndistf[ind,1] / (gamma[c2] + 1.0e-20))**(-1) * af[indf]
return diffc
@jit
def calcAp(indCN, cellC, sp, diffc, ap, apt):
for i in range(len(indCN)):
ind = indCN[i]
c1 = cellC[ind, 0]
ap[c1] += diffc[i]
for i in range(len(sp)):
ap[i] -= (sp[i] + apt[i])
return ap
def calcbNP(sc, act, b):
b[:] = sc[:] + act[:]
return b
@jit
def VAL(cellC, indCN, indCII, anb, ap, vvrr):
for i in range(len(indCII)):
ind = indCII[i]
vvrr[ind] = ap[i]
for i in range(len(indCN)):
ind = indCN[i]
vvrr[ind] = - anb[i]
return vvrr
def matrixAssemble(indCI, vvrr, cellC, ncvx, ncvy, I, J):
ncvt = ncvx * ncvy
VR = vvrr[indCI]
A = coo_matrix((VR, (I, J)), shape=(ncvt, ncvt))
A = A.tocsr()
return A
@jit
def solverBound2(cellC, indCB, ndist, sc, sp, phi, gamma, phif, ncvx, ncvy):
ncvt = ncvx * ncvy
nft = ncvx * ncvy * 2 + ncvx + ncvy
nfi = nft - 2 * (ncvx + ncvy)
nfb = nft - nfi
for i in range(nfb):
indf = indCB[i]
c1 = cellC[indf, 0]
idf = cellC[indf, 3]
bound = cellC[indf, 2]
dx = ndist[indf]
phif[i] = (sc[c1] + gamma[c1] / dx * phi[c1]) / (gamma[c1] / dx - sp[c1])
return phif
@jit
def unsteadyScSp(phi, phi1, phi2, lamb, dt, cvol, titer, act, apt):
for i in range(len(phi)):
apt0, act0 = unsteadySources(phi, phi1, phi2, lamb, dt, cvol, i, titer)
act[i] = act0
apt[i] = apt0
return act, apt
def writeFile(cellC, indCB, ncvx, ncvy, xc, yc, xf, yf, phi, phif, name, ndec , timer):
#writeFile
nvx = ncvx + 1
nvy = ncvy + 1
ncvt = ncvx * ncvy
nft = ncvx * ncvy * 2 + ncvx + ncvy
nfi = nft - 2 * (ncvx + ncvy)
nfb = nft - nfi
archiv = open(name + "_" + str(np.round(timer, ndec)) + ".dat","w")
archiv.write('TITLE = "PHI"\n')
archiv.write('VARIABLES="X","Y","PHI"\n')
archiv.write('ZONE T="VAR" I='+str(nvx)+' J='+str(nvy)+"\n")
for i in range(ncvt):
archiv.write(str(xc[i]) + " " + str(yc[i]) + " " + str(phi[i]) + "\n")
for i in range(nfb):
face = cellC[indCB[i],3]
archiv.write(str(xf[face]) + " " + str(yf[face]) + " " + str(phif[i]) + "\n")
archiv.close()
return
def grid(x, y, z, resX=100, resY=100):
"Convert 3 column data to matplotlib grid"
xi = np.linspace(min(x), max(x), resX)
yi = np.linspace(min(y), max(y), resY)
Z = griddata(x, y, z, xi, yi, method="linear")
X, Y = np.meshgrid(xi, yi)
return X, Y, Z
def contour2(lx, ly, ncvx, ncvy, name, time, ndec, cmapStyle):
name = name + "_" + str(np.round(time, ndec)) + ".dat"
data = np.loadtxt(name, skiprows=3)
gx, gy = np.mgrid[0:lx:100j,0:ly:100j]
grid_Z = griddata(data[:,0:2], data[:,2], (gx, gy), method='linear')
plt.imshow(grid_Z.T, extent=(0,lx,0,ly), origin='lower', cmap = cmapStyle)
plt.colorbar()
plt.axis('off')
plt.xticks([])
plt.yticks([])
#plt.grid(None)
plt.grid(False)
plt.show()
return
def generateMonitors(archMonitors, phi, titer, monNames, nodesM, reportMon, timer):
if titer == 0:
archMonitors.write("t,")
for i in range(len(monNames)):
archMonitors.write(monNames[i])
if i == (len(monNames) - 1):
archMonitors.write("\n")
else:
archMonitors.write(",")
if titer % reportMon == 0:
archMonitors.write(str(timer) + ",")
for i in range(len(monNames)):
archMonitors.write(str(phi[nodesM[i]]))
if i == (len(monNames) - 1):
archMonitors.write("\n")
else:
archMonitors.write(",")
return
@jit
def findNodes(monitors, xv, yv, xc, yc, vertexC, nodev, nmon):
count = 0
for j in range(nmon):
for i in range(len(vertexC[:,0])):
dx = xv[vertexC[i,1]] - xv[vertexC[i,0]]
dy = yv[vertexC[i,1]] - yv[vertexC[i,2]]
diag = np.sqrt((dx * 0.5)**2 + (dy * 0.5)**2)
diag = diag + diag * 0.02
xx = xc[i]
yy = yc[i]
dist = np.sqrt((xc[i] - monitors[j,0])**2 + (yc[i] - monitors[j,1])**2)
if dist <= diag:
nodev[count] = i
count += 1
break
return nodev
def resetTime(vvrr, ap, sc, sp):
vvrr[:] = 0.
ap[:] = 0.
sc[:] = 0.
sp[:] = 0.
return vvrr, ap, sc, sp
@jit
def cellConect(ncvx, ncvy, cellC):
maxi = ncvx - 1
maxj = ncvy - 1
nct = ncvx * ncvy * 4
nci = nct - 2 * ncvx - 2 * ncvy
ncb = nct - nci
nctt = nct + ncvx * ncvy
ncit = nci + ncvx * ncvy
count = 0
countC = 0
startS = 0
startE = ncvx + 1
startN = 2 * ncvx + 1
startW = ncvx
add = ncvx * 2 + 1
for j in range(ncvy):
for i in range(ncvx):
if (i == 0 and j == 0):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 1
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 4
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i > 0 and i < maxi and j == 0):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 1
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = countC + 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = countC + ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i == maxi and j == 0):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 1
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 2
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = countC + ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i == 0 and j > 0 and j < maxj):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = countC + 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = countC + ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 4
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i == maxi and j > 0 and j < maxj):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 2
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = countC + ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i== 0 and j == maxj):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = countC + 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 3
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 4
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i > 0 and i < maxi and j == maxj):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = countC + 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 3
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
elif(i == maxi and j == maxj):
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 2
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = -1
cellC[count, 2] = 3
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
else:
#cara S
cellC[count, 0] = countC
cellC[count, 1] = countC - ncvx
cellC[count, 2] = 0
cellC[count, 3] = startS + i
count += 1
#cara E
cellC[count, 0] = countC
cellC[count, 1] = countC + 1
cellC[count, 2] = 0
cellC[count, 3] = startE + i
count += 1
#cara N
cellC[count, 0] = countC
cellC[count, 1] = countC + ncvx
cellC[count, 2] = 0
cellC[count, 3] = startN + i
count += 1
#cara W
cellC[count, 0] = countC
cellC[count, 1] = countC - 1
cellC[count, 2] = 0
cellC[count, 3] = startW + i
count += 1
#Consigo mismo
cellC[count, 0] = countC
cellC[count, 1] = countC
cellC[count, 2] = 0
cellC[count, 3] = -1
count += 1
countC += 1
startS += add