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####################################################### |
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# |
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# Copyright 2003-2007 by ACceSS MNRF |
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# Copyright 2007 by University of Queensland |
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# |
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# http://esscc.uq.edu.au |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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####################################################### |
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# |
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|
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__copyright__=""" Copyright (c) 2006 by ACcESS MNRF |
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http://www.access.edu.au |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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import unittest |
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import tempfile |
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|
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from esys.escript import * |
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from esys.finley import Rectangle |
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import sys |
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import os |
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try: |
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FINLEY_WORKDIR=os.environ['FINLEY_WORKDIR'] |
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except KeyError: |
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FINLEY_WORKDIR='.' |
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|
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|
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NE=6 |
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TOL=1.e-5 |
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VERBOSE=False |
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|
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from esys.escript import * |
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from esys.escript.models import StokesProblemCartesian |
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from esys.finley import Rectangle, Brick |
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class Test_Simple2DModels(unittest.TestCase): |
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def setUp(self): |
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self.domain=Rectangle(NE,NE,order=2,useFullElementOrder=True) |
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def tearDown(self): |
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del self.domain |
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def test_StokesProblemCartesian_PCG_P_0(self): |
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ETA=1. |
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P1=0. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz)) |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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def test_StokesProblemCartesian_PCG_P_small(self): |
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ETA=1. |
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P1=1. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz)) |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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def test_StokesProblemCartesian_PCG_P_large(self): |
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ETA=1. |
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P1=1000. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz))/P1 |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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def test_StokesProblemCartesian_GMRES_P_0(self): |
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ETA=1. |
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P1=0. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES",iter_restart=20) |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz)) |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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def test_StokesProblemCartesian_GMRES_P_small(self): |
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ETA=1. |
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P1=1. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz)) |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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def test_StokesProblemCartesian_GMRES_P_large(self): |
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ETA=1. |
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P1=1000. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
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mask=whereZero(x[0]) * [1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.] \ |
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+whereZero(x[1]) * [1.,0.] \ |
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+whereZero(x[1]-1) * [1.,1.] |
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*[0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1])/0.25 |
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zz=P1*x[0]*x[1]-p |
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error_p=Lsup(zz-integrate(zz))/P1 |
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# print error_p, error_v0,error_v1 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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|
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|
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class Test_Simple3DModels(unittest.TestCase): |
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def setUp(self): |
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self.domain=Brick(NE,NE,NE,order=2,useFullElementOrder=True) |
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def tearDown(self): |
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del self.domain |
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def test_StokesProblemCartesian_PCG_P_0(self): |
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ETA=1. |
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P1=0. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
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x=self.domain.getX() |
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mask=whereZero(x[0]) * [1.,1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.,1.] \ |
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+whereZero(x[1]) * [1.,1.,1.] \ |
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+whereZero(x[1]-1) * [1.,1.,1.] \ |
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+whereZero(x[2]) * [1.,1.,0.] \ |
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+whereZero(x[2]-1) * [1.,1.,1.] |
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|
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1]) |
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error_v2=Lsup(u[2]-u0[2])/0.25**2 |
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zz=P1*x[0]*x[1]*x[2]-p |
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error_p=Lsup(zz-integrate(zz)) |
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# print error_p, error_v0,error_v1,error_v2 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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self.failUnless(error_v2<TOL,"2-velocity error too large.") |
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def test_StokesProblemCartesian_PCG_P_small(self): |
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ETA=1. |
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P1=1. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
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mask=whereZero(x[0]) * [1.,1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.,1.] \ |
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+whereZero(x[1]) * [1.,1.,1.] \ |
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+whereZero(x[1]-1) * [1.,1.,1.] \ |
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+whereZero(x[2]) * [1.,1.,0.] \ |
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+whereZero(x[2]-1) * [1.,1.,1.] |
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|
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
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error_v1=Lsup(u[1]-u0[1]) |
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error_v2=Lsup(u[2]-u0[2])/0.25**2 |
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zz=P1*x[0]*x[1]*x[2]-p |
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error_p=Lsup(zz-integrate(zz))/P1 |
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# print error_p, error_v0,error_v1,error_v2 |
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self.failUnless(error_p<TOL,"pressure error too large.") |
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self.failUnless(error_v0<TOL,"0-velocity error too large.") |
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self.failUnless(error_v1<TOL,"1-velocity error too large.") |
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self.failUnless(error_v2<TOL,"2-velocity error too large.") |
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def test_StokesProblemCartesian_PCG_P_large(self): |
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ETA=1. |
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P1=1000. |
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|
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x=self.domain.getX() |
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F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
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mask=whereZero(x[0]) * [1.,1.,1.] \ |
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+whereZero(x[0]-1) * [1.,1.,1.] \ |
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+whereZero(x[1]) * [1.,1.,1.] \ |
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+whereZero(x[1]-1) * [1.,1.,1.] \ |
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+whereZero(x[2]) * [1.,1.,0.] \ |
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+whereZero(x[2]-1) * [1.,1.,1.] |
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|
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|
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sp=StokesProblemCartesian(self.domain) |
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|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
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u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
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p0=Scalar(P1,ReducedSolution(self.domain)) |
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u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
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|
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error_v0=Lsup(u[0]-u0[0]) |
| 297 |
error_v1=Lsup(u[1]-u0[1]) |
| 298 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 299 |
zz=P1*x[0]*x[1]*x[2]-p |
| 300 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 301 |
# print error_p, error_v0,error_v1,error_v2 |
| 302 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 303 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 304 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 305 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 306 |
|
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def test_StokesProblemCartesian_GMRES_P_0(self): |
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ETA=1. |
| 309 |
P1=0. |
| 310 |
|
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x=self.domain.getX() |
| 312 |
F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
| 313 |
x=self.domain.getX() |
| 314 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 315 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 316 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 317 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 318 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 319 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 320 |
|
| 321 |
|
| 322 |
sp=StokesProblemCartesian(self.domain) |
| 323 |
|
| 324 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 325 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 326 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 327 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES",iter_restart=20) |
| 328 |
|
| 329 |
error_v0=Lsup(u[0]-u0[0]) |
| 330 |
error_v1=Lsup(u[1]-u0[1]) |
| 331 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 332 |
zz=P1*x[0]*x[1]*x[2]-p |
| 333 |
error_p=Lsup(zz-integrate(zz)) |
| 334 |
# print error_p, error_v0,error_v1,error_v2 |
| 335 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 336 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 337 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 338 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
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def test_StokesProblemCartesian_GMRES_P_small(self): |
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ETA=1. |
| 341 |
P1=1. |
| 342 |
|
| 343 |
x=self.domain.getX() |
| 344 |
F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
| 345 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 346 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 347 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 348 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 349 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 350 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 351 |
|
| 352 |
|
| 353 |
sp=StokesProblemCartesian(self.domain) |
| 354 |
|
| 355 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 356 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 357 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 358 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
| 359 |
|
| 360 |
error_v0=Lsup(u[0]-u0[0]) |
| 361 |
error_v1=Lsup(u[1]-u0[1]) |
| 362 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 363 |
zz=P1*x[0]*x[1]*x[2]-p |
| 364 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 365 |
# print error_p, error_v0,error_v1,error_v2 |
| 366 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 367 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 368 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 369 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 370 |
def test_StokesProblemCartesian_GMRES_P_large(self): |
| 371 |
ETA=1. |
| 372 |
P1=1000. |
| 373 |
|
| 374 |
x=self.domain.getX() |
| 375 |
F=-P1*x[1]*x[2]*[1.,0.,0.]-P1*x[0]*x[2]*[0.,1.,0.]+(2*ETA*((1-x[0])*x[0]+(1-x[1])*x[1])-P1*x[0]*x[1])*[0.,0.,1.] |
| 376 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 377 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 378 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 379 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 380 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 381 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 382 |
|
| 383 |
|
| 384 |
sp=StokesProblemCartesian(self.domain) |
| 385 |
|
| 386 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 387 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 388 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 389 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
| 390 |
|
| 391 |
error_v0=Lsup(u[0]-u0[0]) |
| 392 |
error_v1=Lsup(u[1]-u0[1]) |
| 393 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 394 |
zz=P1*x[0]*x[1]*x[2]-p |
| 395 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 396 |
# print error_p, error_v0,error_v1,error_v2 |
| 397 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 398 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 399 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 400 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 401 |
|
| 402 |
if __name__ == '__main__': |
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suite = unittest.TestSuite() |
| 404 |
suite.addTest(unittest.makeSuite(Test_Simple2DModels)) |
| 405 |
suite.addTest(unittest.makeSuite(Test_Simple3DModels)) |
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s=unittest.TextTestRunner(verbosity=2).run(suite) |
| 407 |
if not s.wasSuccessful(): sys.exit(1) |
| 408 |
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