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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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|
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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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def test_StokesProblemCartesian_MINRES_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="MINRES") |
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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_MINRES_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="MINRES") |
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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_MINRES_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="MINRES") |
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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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# def test_StokesProblemCartesian_TFQMR_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) |
| 303 |
# u0=(1-x[0])*x[0]*[0.,1.] |
| 304 |
# p0=Scalar(P1,ReducedSolution(self.domain)) |
| 305 |
# u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 306 |
|
| 307 |
# error_v0=Lsup(u[0]-u0[0]) |
| 308 |
# error_v1=Lsup(u[1]-u0[1])/0.25 |
| 309 |
# zz=P1*x[0]*x[1]-p |
| 310 |
# error_p=Lsup(zz-integrate(zz)) |
| 311 |
# print error_p, error_v0,error_v1 |
| 312 |
# self.failUnless(error_p<TOL,"pressure error too large.") |
| 313 |
# self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 314 |
# self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 315 |
|
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def test_StokesProblemCartesian_TFQMR_P_small(self): |
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ETA=1. |
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P1=1. |
| 319 |
|
| 320 |
x=self.domain.getX() |
| 321 |
F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
| 322 |
mask=whereZero(x[0]) * [1.,1.] \ |
| 323 |
+whereZero(x[0]-1) * [1.,1.] \ |
| 324 |
+whereZero(x[1]) * [1.,0.] \ |
| 325 |
+whereZero(x[1]-1) * [1.,1.] |
| 326 |
|
| 327 |
sp=StokesProblemCartesian(self.domain) |
| 328 |
|
| 329 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 330 |
u0=(1-x[0])*x[0]*[0.,1.] |
| 331 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 332 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 333 |
|
| 334 |
error_v0=Lsup(u[0]-u0[0]) |
| 335 |
error_v1=Lsup(u[1]-u0[1])/0.25 |
| 336 |
zz=P1*x[0]*x[1]-p |
| 337 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 338 |
# print error_p, error_v0,error_v1 |
| 339 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 340 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 341 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 342 |
|
| 343 |
def test_StokesProblemCartesian_TFQMR_P_large(self): |
| 344 |
ETA=1. |
| 345 |
P1=1000. |
| 346 |
|
| 347 |
x=self.domain.getX() |
| 348 |
F=-P1*x[1]*[1.,0]+(2*ETA-P1*x[0])*[0.,1.] |
| 349 |
mask=whereZero(x[0]) * [1.,1.] \ |
| 350 |
+whereZero(x[0]-1) * [1.,1.] \ |
| 351 |
+whereZero(x[1]) * [1.,0.] \ |
| 352 |
+whereZero(x[1]-1) * [1.,1.] |
| 353 |
|
| 354 |
sp=StokesProblemCartesian(self.domain) |
| 355 |
|
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sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 357 |
u0=(1-x[0])*x[0]*[0.,1.] |
| 358 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 359 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 360 |
|
| 361 |
error_v0=Lsup(u[0]-u0[0]) |
| 362 |
error_v1=Lsup(u[1]-u0[1])/0.25 |
| 363 |
zz=P1*x[0]*x[1]-p |
| 364 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 365 |
# print error_p, error_v0,error_v1 |
| 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 |
|
| 370 |
|
| 371 |
|
| 372 |
class Test_Simple3DModels(unittest.TestCase): |
| 373 |
def setUp(self): |
| 374 |
self.domain=Brick(NE,NE,NE,order=2,useFullElementOrder=True) |
| 375 |
def tearDown(self): |
| 376 |
del self.domain |
| 377 |
def test_StokesProblemCartesian_PCG_P_0(self): |
| 378 |
ETA=1. |
| 379 |
P1=0. |
| 380 |
|
| 381 |
x=self.domain.getX() |
| 382 |
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.] |
| 383 |
x=self.domain.getX() |
| 384 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 385 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 386 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 387 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 388 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 389 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 390 |
|
| 391 |
|
| 392 |
sp=StokesProblemCartesian(self.domain) |
| 393 |
|
| 394 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 395 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 396 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 397 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
| 398 |
|
| 399 |
error_v0=Lsup(u[0]-u0[0]) |
| 400 |
error_v1=Lsup(u[1]-u0[1]) |
| 401 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 402 |
zz=P1*x[0]*x[1]*x[2]-p |
| 403 |
error_p=Lsup(zz-integrate(zz)) |
| 404 |
# print error_p, error_v0,error_v1,error_v2 |
| 405 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 406 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 407 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 408 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 409 |
|
| 410 |
def test_StokesProblemCartesian_PCG_P_small(self): |
| 411 |
ETA=1. |
| 412 |
P1=1. |
| 413 |
|
| 414 |
x=self.domain.getX() |
| 415 |
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.] |
| 416 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 417 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 418 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 419 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 420 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 421 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 422 |
|
| 423 |
|
| 424 |
sp=StokesProblemCartesian(self.domain) |
| 425 |
|
| 426 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 427 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 428 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 429 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
| 430 |
|
| 431 |
error_v0=Lsup(u[0]-u0[0]) |
| 432 |
error_v1=Lsup(u[1]-u0[1]) |
| 433 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 434 |
zz=P1*x[0]*x[1]*x[2]-p |
| 435 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 436 |
# print error_p, error_v0,error_v1,error_v2 |
| 437 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 438 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 439 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 440 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 441 |
def test_StokesProblemCartesian_PCG_P_large(self): |
| 442 |
ETA=1. |
| 443 |
P1=1000. |
| 444 |
|
| 445 |
x=self.domain.getX() |
| 446 |
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.] |
| 447 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 448 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 449 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 450 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 451 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 452 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 453 |
|
| 454 |
|
| 455 |
sp=StokesProblemCartesian(self.domain) |
| 456 |
|
| 457 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 458 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 459 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 460 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="PCG") |
| 461 |
|
| 462 |
error_v0=Lsup(u[0]-u0[0]) |
| 463 |
error_v1=Lsup(u[1]-u0[1]) |
| 464 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 465 |
zz=P1*x[0]*x[1]*x[2]-p |
| 466 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 467 |
# print error_p, error_v0,error_v1,error_v2 |
| 468 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 469 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 470 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 471 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 472 |
|
| 473 |
def test_StokesProblemCartesian_GMRES_P_0(self): |
| 474 |
ETA=1. |
| 475 |
P1=0. |
| 476 |
|
| 477 |
x=self.domain.getX() |
| 478 |
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.] |
| 479 |
x=self.domain.getX() |
| 480 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 481 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 482 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 483 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 484 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 485 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 486 |
|
| 487 |
|
| 488 |
sp=StokesProblemCartesian(self.domain) |
| 489 |
|
| 490 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 491 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 492 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 493 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES",iter_restart=20) |
| 494 |
|
| 495 |
error_v0=Lsup(u[0]-u0[0]) |
| 496 |
error_v1=Lsup(u[1]-u0[1]) |
| 497 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 498 |
zz=P1*x[0]*x[1]*x[2]-p |
| 499 |
error_p=Lsup(zz-integrate(zz)) |
| 500 |
# print error_p, error_v0,error_v1,error_v2 |
| 501 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 502 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 503 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 504 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 505 |
def test_StokesProblemCartesian_GMRES_P_small(self): |
| 506 |
ETA=1. |
| 507 |
P1=1. |
| 508 |
|
| 509 |
x=self.domain.getX() |
| 510 |
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.] |
| 511 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 512 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 513 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 514 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 515 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 516 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 517 |
|
| 518 |
|
| 519 |
sp=StokesProblemCartesian(self.domain) |
| 520 |
|
| 521 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 522 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 523 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 524 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
| 525 |
|
| 526 |
error_v0=Lsup(u[0]-u0[0]) |
| 527 |
error_v1=Lsup(u[1]-u0[1]) |
| 528 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 529 |
zz=P1*x[0]*x[1]*x[2]-p |
| 530 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 531 |
# print error_p, error_v0,error_v1,error_v2 |
| 532 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 533 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 534 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 535 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 536 |
def test_StokesProblemCartesian_GMRES_P_large(self): |
| 537 |
ETA=1. |
| 538 |
P1=1000. |
| 539 |
|
| 540 |
x=self.domain.getX() |
| 541 |
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.] |
| 542 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 543 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 544 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 545 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 546 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 547 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 548 |
|
| 549 |
|
| 550 |
sp=StokesProblemCartesian(self.domain) |
| 551 |
|
| 552 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 553 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 554 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 555 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="GMRES") |
| 556 |
|
| 557 |
error_v0=Lsup(u[0]-u0[0]) |
| 558 |
error_v1=Lsup(u[1]-u0[1]) |
| 559 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 560 |
zz=P1*x[0]*x[1]*x[2]-p |
| 561 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 562 |
# print error_p, error_v0,error_v1,error_v2 |
| 563 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 564 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 565 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 566 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 567 |
|
| 568 |
def test_StokesProblemCartesian_MINRES_P_0(self): |
| 569 |
ETA=1. |
| 570 |
P1=0. |
| 571 |
|
| 572 |
x=self.domain.getX() |
| 573 |
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.] |
| 574 |
x=self.domain.getX() |
| 575 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 576 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 577 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 578 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 579 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 580 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 581 |
|
| 582 |
|
| 583 |
sp=StokesProblemCartesian(self.domain) |
| 584 |
|
| 585 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 586 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 587 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 588 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="MINRES") |
| 589 |
|
| 590 |
error_v0=Lsup(u[0]-u0[0]) |
| 591 |
error_v1=Lsup(u[1]-u0[1]) |
| 592 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 593 |
zz=P1*x[0]*x[1]*x[2]-p |
| 594 |
error_p=Lsup(zz-integrate(zz)) |
| 595 |
# print error_p, error_v0,error_v1,error_v2 |
| 596 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 597 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 598 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 599 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 600 |
|
| 601 |
def test_StokesProblemCartesian_MINRES_P_small(self): |
| 602 |
ETA=1. |
| 603 |
P1=1. |
| 604 |
|
| 605 |
x=self.domain.getX() |
| 606 |
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.] |
| 607 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 608 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 609 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 610 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 611 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 612 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 613 |
|
| 614 |
|
| 615 |
sp=StokesProblemCartesian(self.domain) |
| 616 |
|
| 617 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 618 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 619 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 620 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="MINRES") |
| 621 |
|
| 622 |
error_v0=Lsup(u[0]-u0[0]) |
| 623 |
error_v1=Lsup(u[1]-u0[1]) |
| 624 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 625 |
zz=P1*x[0]*x[1]*x[2]-p |
| 626 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 627 |
# print error_p, error_v0,error_v1,error_v2 |
| 628 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 629 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 630 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 631 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 632 |
|
| 633 |
# def test_StokesProblemCartesian_MINRES_P_large(self): |
| 634 |
# ETA=1. |
| 635 |
# P1=1000. |
| 636 |
|
| 637 |
# x=self.domain.getX() |
| 638 |
# 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.] |
| 639 |
# mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 640 |
# +whereZero(x[0]-1) * [1.,1.,1.] \ |
| 641 |
# +whereZero(x[1]) * [1.,1.,1.] \ |
| 642 |
# +whereZero(x[1]-1) * [1.,1.,1.] \ |
| 643 |
# +whereZero(x[2]) * [1.,1.,0.] \ |
| 644 |
# +whereZero(x[2]-1) * [1.,1.,1.] |
| 645 |
|
| 646 |
|
| 647 |
# sp=StokesProblemCartesian(self.domain) |
| 648 |
|
| 649 |
# sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 650 |
# u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 651 |
# p0=Scalar(P1,ReducedSolution(self.domain)) |
| 652 |
# u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="MINRES") |
| 653 |
|
| 654 |
# error_v0=Lsup(u[0]-u0[0]) |
| 655 |
# error_v1=Lsup(u[1]-u0[1]) |
| 656 |
# error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 657 |
# zz=P1*x[0]*x[1]*x[2]-p |
| 658 |
# error_p=Lsup(zz-integrate(zz))/P1 |
| 659 |
# print error_p, error_v0,error_v1,error_v2 |
| 660 |
# self.failUnless(error_p<TOL,"pressure error too large.") |
| 661 |
# self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 662 |
# self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 663 |
# self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 664 |
|
| 665 |
# def test_StokesProblemCartesian_TFQMR_P_0(self): |
| 666 |
# ETA=1. |
| 667 |
# P1=0. |
| 668 |
|
| 669 |
# x=self.domain.getX() |
| 670 |
# 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.] |
| 671 |
# x=self.domain.getX() |
| 672 |
# mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 673 |
# +whereZero(x[0]-1) * [1.,1.,1.] \ |
| 674 |
# +whereZero(x[1]) * [1.,1.,1.] \ |
| 675 |
# +whereZero(x[1]-1) * [1.,1.,1.] \ |
| 676 |
# +whereZero(x[2]) * [1.,1.,0.] \ |
| 677 |
# +whereZero(x[2]-1) * [1.,1.,1.] |
| 678 |
|
| 679 |
|
| 680 |
# sp=StokesProblemCartesian(self.domain) |
| 681 |
|
| 682 |
# sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 683 |
# u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 684 |
# p0=Scalar(P1,ReducedSolution(self.domain)) |
| 685 |
# u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 686 |
|
| 687 |
# error_v0=Lsup(u[0]-u0[0]) |
| 688 |
# error_v1=Lsup(u[1]-u0[1]) |
| 689 |
# error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 690 |
# zz=P1*x[0]*x[1]*x[2]-p |
| 691 |
# error_p=Lsup(zz-integrate(zz)) |
| 692 |
# print error_p, error_v0,error_v1,error_v2 |
| 693 |
# self.failUnless(error_p<TOL,"pressure error too large.") |
| 694 |
# self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 695 |
# self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 696 |
# self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 697 |
|
| 698 |
def test_StokesProblemCartesian_TFQMR_P_small(self): |
| 699 |
ETA=1. |
| 700 |
P1=1. |
| 701 |
|
| 702 |
x=self.domain.getX() |
| 703 |
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.] |
| 704 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 705 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 706 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 707 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 708 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 709 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 710 |
|
| 711 |
|
| 712 |
sp=StokesProblemCartesian(self.domain) |
| 713 |
|
| 714 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 715 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 716 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 717 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 718 |
|
| 719 |
error_v0=Lsup(u[0]-u0[0]) |
| 720 |
error_v1=Lsup(u[1]-u0[1]) |
| 721 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 722 |
zz=P1*x[0]*x[1]*x[2]-p |
| 723 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 724 |
# print error_p, error_v0,error_v1,error_v2 |
| 725 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 726 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 727 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 728 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 729 |
|
| 730 |
def test_StokesProblemCartesian_TFQMR_P_large(self): |
| 731 |
ETA=1. |
| 732 |
P1=1000. |
| 733 |
|
| 734 |
x=self.domain.getX() |
| 735 |
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.] |
| 736 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 737 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 738 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 739 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 740 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 741 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 742 |
|
| 743 |
|
| 744 |
sp=StokesProblemCartesian(self.domain) |
| 745 |
|
| 746 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 747 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 748 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 749 |
u,p=sp.solve(u0,p0,show_details=VERBOSE, verbose=VERBOSE,max_iter=100,solver="TFQMR") |
| 750 |
|
| 751 |
error_v0=Lsup(u[0]-u0[0]) |
| 752 |
error_v1=Lsup(u[1]-u0[1]) |
| 753 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 754 |
zz=P1*x[0]*x[1]*x[2]-p |
| 755 |
error_p=Lsup(zz-integrate(zz))/P1 |
| 756 |
# print error_p, error_v0,error_v1,error_v2 |
| 757 |
self.failUnless(error_p<TOL,"pressure error too large.") |
| 758 |
self.failUnless(error_v0<TOL,"0-velocity error too large.") |
| 759 |
self.failUnless(error_v1<TOL,"1-velocity error too large.") |
| 760 |
self.failUnless(error_v2<TOL,"2-velocity error too large.") |
| 761 |
|
| 762 |
|
| 763 |
if __name__ == '__main__': |
| 764 |
suite = unittest.TestSuite() |
| 765 |
suite.addTest(unittest.makeSuite(Test_Simple2DModels)) |
| 766 |
suite.addTest(unittest.makeSuite(Test_Simple3DModels)) |
| 767 |
s=unittest.TextTestRunner(verbosity=2).run(suite) |
| 768 |
if not s.wasSuccessful(): sys.exit(1) |
| 769 |
|
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