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bc.py
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bc.py
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import numpy as np
def computeBC(bb, profile, mesh, nodetype = 'velocity'):
bcNodes = []
bcValues = []
for i in range(mesh.nodeXY[nodetype][:,0].shape[0]):
if(mesh.nodeXY[nodetype][i,0] >= bb['xmin'] and \
mesh.nodeXY[nodetype][i,0] < bb['xmax'] and \
mesh.nodeXY[nodetype][i,1] >= bb['ymin'] and \
mesh.nodeXY[nodetype][i,1] < bb['ymax']):
bcNodes.append(i)
bcValues.append(profile(mesh.nodeXY[nodetype][i,0], \
mesh.nodeXY[nodetype][i,1]))
return bcNodes, np.array(bcValues)
def getBC(example, mesh):
'''
Parameters
----------
example : Example no, choose from defined set of examples: integer
meshSpec : Dictionary should contain nelx, nely
Returns
-------
boundary condition dictionary. only defined for rect geom here
'''
if(example == 1):
bc = diffuser(mesh)
elif(example == 2):
bc = bend(mesh)
else:
bc = double_pipe(mesh)
return bc
def diffuser(mesh):
bc = {'velocity':{'u':np.zeros((mesh.meshSpec['numNodes']['velocity'])),\
'v':np.zeros((mesh.meshSpec['numNodes']['velocity']))}, \
'pressure':np.zeros((mesh.meshSpec['numNodes']['pressure'])),\
'force':np.zeros((mesh.meshSpec['numDOFs']['total']))}
tol=1e-8
lx, ly = mesh.meshSpec['nelx']*mesh.meshSpec['elemSize'][0],\
mesh.meshSpec['nely']*mesh.meshSpec['elemSize'][1]
inletDomain = {'xmin':0., 'xmax':tol, 'ymin':0., 'ymax':ly+ tol}
outletDomain = {'xmin':lx-tol,'xmax':lx+tol,'ymin':ly/3.-tol, 'ymax':2.*ly/3.+tol}
topDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':ly, 'ymax':ly+tol}
bottomDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':0, 'ymax':tol}
totaloutletDomain = {'xmin':lx-tol,'xmax':lx+tol,'ymin':0, 'ymax':ly+tol}
# TODO: there could some tolerancing issue (minor) that needs fixing
inletVelocityProfile = lambda x,y: 4*y*(ly-y)
outletVelocityProfile = lambda x,y: (y-ly/3.)*(2.*ly/3.-y)
topVelocityProfile = lambda x,y: 0
bottomVelocityProfile = lambda x,y: 0
totaloutletVelocityProfile = lambda x,y: 0
inletNodes, inletBC = computeBC(inletDomain, inletVelocityProfile,\
mesh, 'velocity')
inletBC = (inletBC-min(inletBC))/(max(inletBC)-min(inletBC)) # normalize inlet vel
outletNodes, outletBC = computeBC(outletDomain, outletVelocityProfile, \
mesh, 'velocity')
outletBC = np.sum(inletBC)*outletBC/np.sum(outletBC)
topNodes, topBC = computeBC(topDomain, topVelocityProfile,\
mesh, 'velocity')
bottomNodes, bottomBC = computeBC(bottomDomain, bottomVelocityProfile,\
mesh, 'velocity')
totaloutletNodes, totaloutletBC = computeBC(totaloutletDomain, totaloutletVelocityProfile,\
mesh, 'velocity')
bc['velocity']['u'][inletNodes] = inletBC
bc['velocity']['u'][topNodes] = topBC
bc['velocity']['u'][bottomNodes] = bottomBC
bc['velocity']['u'][totaloutletNodes] = totaloutletBC
bc['velocity']['u'][outletNodes] = outletBC
force_nodes=np.array((inletNodes+outletNodes))
force=(np.hstack((inletBC,outletBC)))
mesh.meshSpec['bcNodes']['velocity'] = (np.array((inletNodes+bottomNodes+topNodes+totaloutletNodes)))
mesh.meshSpec['bcDOFs']['velocity'] =np.zeros(2*mesh.meshSpec['bcNodes']['velocity'].shape,dtype=np.int)
(mesh.meshSpec['bcDOFs']['velocity'][0: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:]))
(mesh.meshSpec['bcDOFs']['velocity'][1: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:])+1)
bc['force'][2*force_nodes[:]]=force[:]
return bc
def bend(mesh):
bc = {'velocity':{'u':np.zeros((mesh.meshSpec['numNodes']['velocity'])),\
'v':np.zeros((mesh.meshSpec['numNodes']['velocity']))}, \
'pressure':np.zeros((mesh.meshSpec['numNodes']['pressure'])),\
'force':np.zeros((mesh.meshSpec['numDOFs']['total']))}
tol=1e-8
lx, ly = mesh.meshSpec['nelx']*mesh.meshSpec['elemSize'][0],\
mesh.meshSpec['nely']*mesh.meshSpec['elemSize'][1]
totalinletDomain = {'xmin':0-tol,'xmax':0+tol,'ymin':0-tol, 'ymax':ly+tol}
inletDomain = {'xmin':0.-tol, 'xmax':tol, 'ymin':(ly*0.8)-tol, 'ymax':(ly*1)+tol}
outletDomain = {'xmin':0-tol,'xmax':0+tol, 'ymin':(ly*0)-tol, 'ymax':(ly*0.2)+tol}
bottomDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':0, 'ymax':tol}
rightDomain = {'xmin':lx-tol,'xmax':lx+tol,'ymin':0, 'ymax':ly+tol}
# print('jjj',inletDomain2,outletDomain1,outletDomain2)
topDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':ly, 'ymax':ly+tol}
# TODO: there could some tolerancing issue (minor) that needs fixing
totalinletVelocityProfile = lambda x,y: 0
inletVelocityProfile = lambda x,y: (y-ly*0.8)*(ly*1.-y)
outletVelocityProfile = lambda x,y:(y-ly*0.)*(ly*0.2-y)
topVelocityProfile = lambda x,y: 0
rightVelocityProfile = lambda x,y: 0
totaloutletVelocityProfile = lambda x,y: 0
bottomVelocityProfile = lambda x,y: 0
inletNodes, inletBC = computeBC(inletDomain, inletVelocityProfile,\
mesh, 'velocity')
inletBC = (inletBC-min(inletBC))/(max(inletBC)-min(inletBC)) # normalize inlet vel
totalinletNodes, totalinletBC = computeBC(totalinletDomain, totalinletVelocityProfile,\
mesh, 'velocity')
outletNodes, outletBC = computeBC(outletDomain, outletVelocityProfile, \
mesh, 'velocity')
outletBC = np.sum(inletBC)*outletBC/np.sum(outletBC)
topNodes, topBC = computeBC(topDomain, topVelocityProfile,\
mesh, 'velocity')
rightNodes, rightBC = computeBC(rightDomain, rightVelocityProfile,\
mesh, 'velocity')
bottomNodes, bottomBC = computeBC(bottomDomain, bottomVelocityProfile,\
mesh, 'velocity')
bc['velocity']['u'][totalinletNodes] = totalinletBC
bc['velocity']['u'][inletNodes] = inletBC
bc['velocity']['u'][topNodes] = topBC
bc['velocity']['u'][rightNodes] = rightBC
bc['velocity']['v'][outletNodes] = outletBC
bc['velocity']['u'][bottomNodes] = bottomBC
force_inlet_nodes=np.array((inletNodes))
force_outlet_nodes=np.array((outletNodes))
force_inlet=(np.hstack((inletBC)))
force_outlet=(np.hstack((outletBC)))
mesh.meshSpec['bcNodes']['velocity'] = (np.array((totalinletNodes+rightNodes+topNodes+bottomNodes)))
mesh.meshSpec['bcDOFs']['velocity'] =np.zeros(2*mesh.meshSpec['bcNodes']['velocity'].shape,dtype=np.int)
(mesh.meshSpec['bcDOFs']['velocity'][0: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:]))
(mesh.meshSpec['bcDOFs']['velocity'][1: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:])+1)
bc['force'][2*force_inlet_nodes[:]]=force_inlet[:]
bc['force'][2*force_outlet_nodes[:]]=-force_outlet[:]
return bc
def double_pipe(mesh):
bc = {'velocity':{'u':np.zeros((mesh.meshSpec['numNodes']['velocity'])),\
'v':np.zeros((mesh.meshSpec['numNodes']['velocity']))}, \
'pressure':np.zeros((mesh.meshSpec['numNodes']['pressure'])),\
'force':np.zeros((mesh.meshSpec['numDOFs']['total']))}
tol=1e-8
lx, ly = mesh.meshSpec['nelx']*mesh.meshSpec['elemSize'][0],\
mesh.meshSpec['nely']*mesh.meshSpec['elemSize'][1]
totalinletDomain = {'xmin':0-tol,'xmax':0+tol,'ymin':0-tol, 'ymax':ly+tol}
inletDomain1 = {'xmin':0., 'xmax':tol, 'ymin':(ly/6.)-tol, 'ymax':(ly/3)+tol}
inletDomain2 = {'xmin':0., 'xmax':tol, 'ymin':(2*ly/3)-tol, 'ymax':(5*ly/6)+tol}
outletDomain1 = {'xmin':lx-tol,'xmax':lx+tol,'ymin':(ly/6.)-tol, 'ymax':(ly/3)+tol}
outletDomain2 = {'xmin':lx-tol,'xmax':lx+tol,'ymin':(2*ly/3.)-tol, 'ymax':(5*ly/6)+tol}
topDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':ly, 'ymax':ly+tol}
bottomDomain = {'xmin':0.+0.5*mesh.meshSpec['elemSize'][0],\
'xmax':lx-0.5*mesh.meshSpec['elemSize'][0]+tol, 'ymin':0, 'ymax':tol}
totaloutletDomain = {'xmin':lx-tol,'xmax':lx+tol,'ymin':0, 'ymax':ly+tol}
# TODO: there could some tolerancing issue (minor) that needs fixing
totalinletVelocityProfile = lambda x,y: 0
inletVelocityProfile1 = lambda x,y: (y-ly/6.)*(ly/3.-y)
inletVelocityProfile2 = lambda x,y: (y-2*ly/3.)*(5*ly/6.-y)
outletVelocityProfile1 = lambda x,y: (y-ly/6.)*(ly/3.-y)
outletVelocityProfile2 = lambda x,y: (y-2*ly/3.)*(5*ly/6.-y)
topVelocityProfile = lambda x,y: 0
bottomVelocityProfile = lambda x,y: 0
totaloutletVelocityProfile = lambda x,y: 0
inletNodes1, inletBC1 = computeBC(inletDomain1, inletVelocityProfile1,\
mesh, 'velocity')
# print(inletNodes1, inletBC1)
inletNodes2, inletBC2 = computeBC(inletDomain2, inletVelocityProfile2,\
mesh, 'velocity')
inletBC1 = 1.3*(inletBC1-min(inletBC1))/(max(inletBC1)-min(inletBC1)) # normalize inlet vel
inletBC2 = 1.3*(inletBC2-min(inletBC2))/(max(inletBC2)-min(inletBC2)) # normalize inlet vel
totalinletNodes, totalinletBC = computeBC(totalinletDomain, totalinletVelocityProfile,\
mesh, 'velocity')
outletNodes1, outletBC1 = computeBC(outletDomain1, outletVelocityProfile1, \
mesh, 'velocity')
outletNodes2, outletBC2 = computeBC(outletDomain2, outletVelocityProfile2, \
mesh, 'velocity')
outletBC1 = np.sum(inletBC1)*outletBC1/np.sum(outletBC1)
outletBC2 = np.sum(inletBC2)*outletBC2/np.sum(outletBC2)
topNodes, topBC = computeBC(topDomain, topVelocityProfile,\
mesh, 'velocity')
bottomNodes, bottomBC = computeBC(bottomDomain, bottomVelocityProfile,\
mesh, 'velocity')
totaloutletNodes, totaloutletBC = computeBC(totaloutletDomain, totaloutletVelocityProfile,\
mesh, 'velocity')
bc['velocity']['u'][totalinletNodes] = totalinletBC
bc['velocity']['u'][inletNodes1] = inletBC1
bc['velocity']['u'][inletNodes2] = inletBC2
bc['velocity']['u'][topNodes] = topBC
bc['velocity']['u'][bottomNodes] = bottomBC
bc['velocity']['u'][totaloutletNodes] = totaloutletBC
bc['velocity']['u'][outletNodes1] = outletBC1
bc['velocity']['u'][outletNodes2] = outletBC2
force_nodes=np.array((inletNodes1+inletNodes2+outletNodes1+outletNodes2))
force=(np.hstack((inletBC1,inletBC2,outletBC1,outletBC2)))
mesh.meshSpec['bcNodes']['velocity'] = (np.array((totalinletNodes+bottomNodes+topNodes+totaloutletNodes)))
mesh.meshSpec['bcDOFs']['velocity'] =np.zeros(2*mesh.meshSpec['bcNodes']['velocity'].shape,dtype=np.int)
(mesh.meshSpec['bcDOFs']['velocity'][0: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:]))
(mesh.meshSpec['bcDOFs']['velocity'][1: :2])=(2*(mesh.meshSpec['bcNodes']['velocity'][:])+1)
bc['force'][2*force_nodes[:]]=force[:]
return bc