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######################################################## |
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# |
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# Copyright (c) 2003-2008 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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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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__copyright__="""Copyright (c) 2003-2008 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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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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__url__="http://www.uq.edu.au/esscc/escript-finley" |
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|
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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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from esys.escript.models import DarcyFlow |
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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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VERBOSE=False # or True |
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DETAIL_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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|
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from esys.escript.models import Mountains |
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from math import pi |
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|
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#==================================================================================================================== |
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class Test_StokesProblemCartesian2D(unittest.TestCase): |
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def setUp(self): |
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NE=6 |
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self.TOL=1e-3 |
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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_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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sp.setTolerance(self.TOL) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=100,usePCG=True) |
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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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error_p=Lsup(p+P1*x[0]*x[1]) |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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|
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def test_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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sp.setTolerance(self.TOL*0.2) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=100,usePCG=True) |
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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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error_p=Lsup(P1*x[0]*x[1]+p) |
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saveVTK("d.vtu",p=p, e=P1*x[0]*x[1]+p, p_ref=P1*x[0]*x[1]) |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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|
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def test_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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sp.setTolerance(self.TOL) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=100,usePCG=True) |
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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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error_p=Lsup(P1*x[0]*x[1]+p)/P1 |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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|
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def test_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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sp.setTolerance(self.TOL) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=50,usePCG=False,iter_restart=18) |
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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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error_p=Lsup(P1*x[0]*x[1]+p) |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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|
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def test_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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sp.setTolerance(self.TOL*0.1) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=20,usePCG=False) |
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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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error_p=Lsup(P1*x[0]*x[1]+p) |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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|
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def test_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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sp.setTolerance(self.TOL) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=100,usePCG=False) |
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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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error_p=Lsup(P1*x[0]*x[1]+p)/P1 |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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#==================================================================================================================== |
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class Test_StokesProblemCartesian3D(unittest.TestCase): |
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def setUp(self): |
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NE=6 |
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self.TOL=1e-4 |
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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_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.,0.,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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sp.setTolerance(self.TOL) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE ,max_iter=100,usePCG=True) |
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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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error_p=Lsup(P1*x[0]*x[1]*x[2]+p) |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
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|
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def test_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.,0.,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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sp.setTolerance(self.TOL*0.1) |
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u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE ,max_iter=100,usePCG=True) |
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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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error_p=Lsup(P1*x[0]*x[1]*x[2]+p) |
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self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
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self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
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self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
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self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
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def test_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.,0.,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.] |
| 296 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 297 |
sp.setTolerance(self.TOL) |
| 298 |
u,p=sp.solve(u0,-p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE ,max_iter=100,usePCG=True) |
| 299 |
|
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error_v0=Lsup(u[0]-u0[0]) |
| 301 |
error_v1=Lsup(u[1]-u0[1]) |
| 302 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 303 |
error_p=Lsup(P1*x[0]*x[1]*x[2]+p)/P1 |
| 304 |
self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
| 305 |
self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
| 306 |
self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
| 307 |
self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
| 308 |
|
| 309 |
def test_GMRES_P_0(self): |
| 310 |
ETA=1. |
| 311 |
P1=0. |
| 312 |
|
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x=self.domain.getX() |
| 314 |
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.] |
| 315 |
x=self.domain.getX() |
| 316 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 317 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 318 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 319 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 320 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 321 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 322 |
|
| 323 |
|
| 324 |
sp=StokesProblemCartesian(self.domain) |
| 325 |
|
| 326 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 327 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 328 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 329 |
sp.setTolerance(self.TOL) |
| 330 |
u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE,max_iter=100,usePCG=False,iter_restart=20) |
| 331 |
|
| 332 |
error_v0=Lsup(u[0]-u0[0]) |
| 333 |
error_v1=Lsup(u[1]-u0[1]) |
| 334 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 335 |
error_p=Lsup(P1*x[0]*x[1]*x[2]+p) |
| 336 |
self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
| 337 |
self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
| 338 |
self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
| 339 |
self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
| 340 |
def test_GMRES_P_small(self): |
| 341 |
ETA=1. |
| 342 |
P1=1. |
| 343 |
|
| 344 |
x=self.domain.getX() |
| 345 |
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.] |
| 346 |
mask=whereZero(x[0]) * [1.,1.,1.] \ |
| 347 |
+whereZero(x[0]-1) * [1.,1.,1.] \ |
| 348 |
+whereZero(x[1]) * [1.,1.,1.] \ |
| 349 |
+whereZero(x[1]-1) * [1.,1.,1.] \ |
| 350 |
+whereZero(x[2]) * [1.,1.,0.] \ |
| 351 |
+whereZero(x[2]-1) * [1.,1.,1.] |
| 352 |
|
| 353 |
|
| 354 |
sp=StokesProblemCartesian(self.domain) |
| 355 |
|
| 356 |
sp.initialize(f=F,fixed_u_mask=mask,eta=ETA) |
| 357 |
u0=(1-x[0])*x[0]*(1-x[1])*x[1]*[0.,0.,1.] |
| 358 |
p0=Scalar(P1,ReducedSolution(self.domain)) |
| 359 |
sp.setTolerance(self.TOL*0.1) |
| 360 |
u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE and False, verbose=VERBOSE,max_iter=100,usePCG=False) |
| 361 |
|
| 362 |
error_v0=Lsup(u[0]-u0[0]) |
| 363 |
error_v1=Lsup(u[1]-u0[1]) |
| 364 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 365 |
error_p=Lsup(P1*x[0]*x[1]*x[2]+p)/P1 |
| 366 |
self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
| 367 |
self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
| 368 |
self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
| 369 |
self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
| 370 |
def test_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.,0.,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 |
sp.setTolerance(self.TOL) |
| 390 |
u,p=sp.solve(u0,p0,show_details=DETAIL_VERBOSE, verbose=VERBOSE ,max_iter=100,usePCG=False) |
| 391 |
|
| 392 |
error_v0=Lsup(u[0]-u0[0]) |
| 393 |
error_v1=Lsup(u[1]-u0[1]) |
| 394 |
error_v2=Lsup(u[2]-u0[2])/0.25**2 |
| 395 |
error_p=Lsup(P1*x[0]*x[1]*x[2]+p)/P1 |
| 396 |
self.failUnless(error_p<10*self.TOL, "pressure error too large.") |
| 397 |
self.failUnless(error_v0<10*self.TOL, "0-velocity error too large.") |
| 398 |
self.failUnless(error_v1<10*self.TOL, "1-velocity error too large.") |
| 399 |
self.failUnless(error_v2<10*self.TOL, "2-velocity error too large.") |
| 400 |
#==================================================================================================================== |
| 401 |
class Test_Darcy(unittest.TestCase): |
| 402 |
# this is a simple test for the darcy flux problem |
| 403 |
# |
| 404 |
# |
| 405 |
# p = 1/k * ( 1/2* (fb-f0)/xb* x **2 + f0 * x - ub*x ) + p0 |
| 406 |
# |
| 407 |
# with f = (fb-f0)/xb* x + f0 |
| 408 |
# |
| 409 |
# u = f - k * p,x = ub |
| 410 |
# |
| 411 |
# we prescribe pressure at x=x0=0 to p0 |
| 412 |
# |
| 413 |
# if we prescribe the pressure on the bottom x=xb we set |
| 414 |
# |
| 415 |
# pb= 1/k * ( 1/2* (fb-f0)* xb + f0 * xb - ub*xb ) + p0 = 1/k * ((fb+f0)/2 - ub ) * xb + p0 |
| 416 |
# |
| 417 |
# which leads to ub = (fb+f0)/2-k*(pb-p0)/xb |
| 418 |
# |
| 419 |
def rescaleDomain(self): |
| 420 |
x=self.dom.getX().copy() |
| 421 |
for i in xrange(self.dom.getDim()): |
| 422 |
x_inf=inf(x[i]) |
| 423 |
x_sup=sup(x[i]) |
| 424 |
if i == self.dom.getDim()-1: |
| 425 |
x[i]=-self.WIDTH*(x[i]-x_sup)/(x_inf-x_sup) |
| 426 |
else: |
| 427 |
x[i]=self.WIDTH*(x[i]-x_inf)/(x_sup-x_inf) |
| 428 |
self.dom.setX(x) |
| 429 |
def getScalarMask(self,include_bottom=True): |
| 430 |
x=self.dom.getX().copy() |
| 431 |
x_inf=inf(x[self.dom.getDim()-1]) |
| 432 |
x_sup=sup(x[self.dom.getDim()-1]) |
| 433 |
out=whereZero(x[self.dom.getDim()-1]-x_sup) |
| 434 |
if include_bottom: out+=whereZero(x[self.dom.getDim()-1]-x_inf) |
| 435 |
return wherePositive(out) |
| 436 |
def getVectorMask(self,include_bottom=True): |
| 437 |
x=self.dom.getX().copy() |
| 438 |
out=Vector(0.,Solution(self.dom)) |
| 439 |
for i in xrange(self.dom.getDim()): |
| 440 |
x_inf=inf(x[i]) |
| 441 |
x_sup=sup(x[i]) |
| 442 |
if i != self.dom.getDim()-1: out[i]+=whereZero(x[i]-x_sup) |
| 443 |
if i != self.dom.getDim()-1 or include_bottom: out[i]+=whereZero(x[i]-x_inf) |
| 444 |
return wherePositive(out) |
| 445 |
|
| 446 |
def setSolutionFixedBottom(self, p0, pb, f0, fb, k): |
| 447 |
d=self.dom.getDim() |
| 448 |
x=self.dom.getX()[d-1] |
| 449 |
xb=inf(x) |
| 450 |
u=Vector(0.,Solution(self.dom))+kronecker(d)[d-1]*((f0+fb)/2.-k*(pb-p0)/xb) |
| 451 |
p=1./k*((fb-f0)/(xb*2.)* x**2 - (fb-f0)/2.*x)+(pb-p0)/xb*x + p0 |
| 452 |
f= ((fb-f0)/xb* x + f0)*kronecker(Function(self.dom))[d-1] |
| 453 |
return u,p,f |
| 454 |
|
| 455 |
def testConstF_FixedBottom_smallK(self): |
| 456 |
k=1.e-10 |
| 457 |
mp=self.getScalarMask(include_bottom=True) |
| 458 |
mv=self.getVectorMask(include_bottom=False) |
| 459 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 460 |
p=p_ref*mp |
| 461 |
u=u_ref*mv |
| 462 |
df=DarcyFlow(self.dom) |
| 463 |
df.setValue(g=f, |
| 464 |
location_of_fixed_pressure=mp, |
| 465 |
location_of_fixed_flux=mv, |
| 466 |
permeability=Scalar(k,Function(self.dom))) |
| 467 |
df.setTolerance(rtol=self.TOL) |
| 468 |
df.setSubProblemTolerance() |
| 469 |
v,p=df.solve(u_ref,p, max_iter=100, verbose=VERBOSE) |
| 470 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 471 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 472 |
def testConstF_FixedBottom_mediumK(self): |
| 473 |
k=1. |
| 474 |
mp=self.getScalarMask(include_bottom=True) |
| 475 |
mv=self.getVectorMask(include_bottom=False) |
| 476 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 477 |
p=p_ref*mp |
| 478 |
u=u_ref*mv |
| 479 |
df=DarcyFlow(self.dom) |
| 480 |
df.setValue(g=f, |
| 481 |
location_of_fixed_pressure=mp, |
| 482 |
location_of_fixed_flux=mv, |
| 483 |
permeability=Scalar(k,Function(self.dom))) |
| 484 |
df.setTolerance(rtol=self.TOL) |
| 485 |
df.setSubProblemTolerance() |
| 486 |
v,p=df.solve(u,p,max_iter=100, verbose=VERBOSE ) |
| 487 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 488 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 489 |
|
| 490 |
def testConstF_FixedBottom_largeK(self): |
| 491 |
k=1.e10 |
| 492 |
mp=self.getScalarMask(include_bottom=True) |
| 493 |
mv=self.getVectorMask(include_bottom=False) |
| 494 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 495 |
p=p_ref*mp |
| 496 |
u=u_ref*mv |
| 497 |
df=DarcyFlow(self.dom) |
| 498 |
df.setValue(g=f, |
| 499 |
location_of_fixed_pressure=mp, |
| 500 |
location_of_fixed_flux=mv, |
| 501 |
permeability=Scalar(k,Function(self.dom))) |
| 502 |
df.setTolerance(rtol=self.TOL) |
| 503 |
df.setSubProblemTolerance() |
| 504 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 505 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 506 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 507 |
|
| 508 |
def testVarioF_FixedBottom_smallK(self): |
| 509 |
k=1.e-10 |
| 510 |
mp=self.getScalarMask(include_bottom=True) |
| 511 |
mv=self.getVectorMask(include_bottom=False) |
| 512 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 513 |
p=p_ref*mp |
| 514 |
u=u_ref*mv |
| 515 |
df=DarcyFlow(self.dom) |
| 516 |
df.setValue(g=f, |
| 517 |
location_of_fixed_pressure=mp, |
| 518 |
location_of_fixed_flux=mv, |
| 519 |
permeability=Scalar(k,Function(self.dom))) |
| 520 |
df.setTolerance(rtol=self.TOL) |
| 521 |
df.setSubProblemTolerance() |
| 522 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 523 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 524 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 525 |
|
| 526 |
def testVarioF_FixedBottom_mediumK(self): |
| 527 |
k=1. |
| 528 |
mp=self.getScalarMask(include_bottom=True) |
| 529 |
mv=self.getVectorMask(include_bottom=False) |
| 530 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 531 |
p=p_ref*mp |
| 532 |
u=u_ref*mv |
| 533 |
df=DarcyFlow(self.dom) |
| 534 |
df.setValue(g=f, |
| 535 |
location_of_fixed_pressure=mp, |
| 536 |
location_of_fixed_flux=mv, |
| 537 |
permeability=Scalar(k,Function(self.dom))) |
| 538 |
df.setTolerance(rtol=self.TOL) |
| 539 |
df.setSubProblemTolerance() |
| 540 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 541 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 542 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 543 |
|
| 544 |
def testVarioF_FixedBottom_largeK(self): |
| 545 |
k=1.e10 |
| 546 |
mp=self.getScalarMask(include_bottom=True) |
| 547 |
mv=self.getVectorMask(include_bottom=False) |
| 548 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 549 |
p=p_ref*mp |
| 550 |
u=u_ref*mv |
| 551 |
df=DarcyFlow(self.dom) |
| 552 |
df.setValue(g=f, |
| 553 |
location_of_fixed_pressure=mp, |
| 554 |
location_of_fixed_flux=mv, |
| 555 |
permeability=Scalar(k,Function(self.dom))) |
| 556 |
df.setTolerance(rtol=self.TOL) |
| 557 |
df.setSubProblemTolerance() |
| 558 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 559 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 560 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 561 |
|
| 562 |
def testConstF_FreeBottom_smallK(self): |
| 563 |
k=1.e-10 |
| 564 |
mp=self.getScalarMask(include_bottom=False) |
| 565 |
mv=self.getVectorMask(include_bottom=True) |
| 566 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 567 |
p=p_ref*mp |
| 568 |
u=u_ref*mv |
| 569 |
df=DarcyFlow(self.dom) |
| 570 |
df.setValue(g=f, |
| 571 |
location_of_fixed_pressure=mp, |
| 572 |
location_of_fixed_flux=mv, |
| 573 |
permeability=Scalar(k,Function(self.dom))) |
| 574 |
df.setTolerance(rtol=self.TOL) |
| 575 |
df.setSubProblemTolerance() |
| 576 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 577 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 578 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 579 |
|
| 580 |
def testConstF_FreeBottom_mediumK(self): |
| 581 |
k=1. |
| 582 |
mp=self.getScalarMask(include_bottom=False) |
| 583 |
mv=self.getVectorMask(include_bottom=True) |
| 584 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 585 |
p=p_ref*mp |
| 586 |
u=u_ref*mv |
| 587 |
df=DarcyFlow(self.dom) |
| 588 |
df.setValue(g=f, |
| 589 |
location_of_fixed_pressure=mp, |
| 590 |
location_of_fixed_flux=mv, |
| 591 |
permeability=Scalar(k,Function(self.dom))) |
| 592 |
df.setTolerance(rtol=self.TOL) |
| 593 |
df.setSubProblemTolerance() |
| 594 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 595 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 596 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 597 |
|
| 598 |
def testConstF_FreeBottom_largeK(self): |
| 599 |
k=1.e10 |
| 600 |
mp=self.getScalarMask(include_bottom=False) |
| 601 |
mv=self.getVectorMask(include_bottom=True) |
| 602 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=10.,k=k) |
| 603 |
p=p_ref*mp |
| 604 |
u=u_ref*mv |
| 605 |
df=DarcyFlow(self.dom) |
| 606 |
df.setValue(g=f, |
| 607 |
location_of_fixed_pressure=mp, |
| 608 |
location_of_fixed_flux=mv, |
| 609 |
permeability=Scalar(k,Function(self.dom))) |
| 610 |
df.setTolerance(rtol=self.TOL) |
| 611 |
df.setSubProblemTolerance() |
| 612 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 613 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 614 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 615 |
|
| 616 |
def testVarioF_FreeBottom_smallK(self): |
| 617 |
k=1.e-10 |
| 618 |
mp=self.getScalarMask(include_bottom=False) |
| 619 |
mv=self.getVectorMask(include_bottom=True) |
| 620 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 621 |
p=p_ref*mp |
| 622 |
u=u_ref*mv |
| 623 |
df=DarcyFlow(self.dom) |
| 624 |
df.setValue(g=f, |
| 625 |
location_of_fixed_pressure=mp, |
| 626 |
location_of_fixed_flux=mv, |
| 627 |
permeability=Scalar(k,Function(self.dom))) |
| 628 |
df.setTolerance(rtol=self.TOL) |
| 629 |
df.setSubProblemTolerance() |
| 630 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 631 |
self.failUnless(Lsup(v-u_ref)<self.TOL*25.*Lsup(u_ref), "flux error too big.") # 25 because of disc. error. |
| 632 |
self.failUnless(Lsup(p-p_ref)<self.TOL*25.*Lsup(p_ref), "pressure error too big.") |
| 633 |
|
| 634 |
def testVarioF_FreeBottom_mediumK(self): |
| 635 |
k=1. |
| 636 |
mp=self.getScalarMask(include_bottom=False) |
| 637 |
mv=self.getVectorMask(include_bottom=True) |
| 638 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 639 |
p=p_ref*mp |
| 640 |
u=u_ref*mv |
| 641 |
df=DarcyFlow(self.dom) |
| 642 |
df.setValue(g=f, |
| 643 |
location_of_fixed_pressure=mp, |
| 644 |
location_of_fixed_flux=mv, |
| 645 |
permeability=Scalar(k,Function(self.dom))) |
| 646 |
df.setTolerance(rtol=self.TOL) |
| 647 |
df.setSubProblemTolerance() |
| 648 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 649 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 650 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 651 |
|
| 652 |
def testVarioF_FreeBottom_largeK(self): |
| 653 |
k=1.e10 |
| 654 |
mp=self.getScalarMask(include_bottom=False) |
| 655 |
mv=self.getVectorMask(include_bottom=True) |
| 656 |
u_ref,p_ref,f=self.setSolutionFixedBottom(p0=2500,pb=4000.,f0=10.,fb=30.,k=k) |
| 657 |
p=p_ref*mp |
| 658 |
u=u_ref*mv |
| 659 |
df=DarcyFlow(self.dom) |
| 660 |
df.setValue(g=f, |
| 661 |
location_of_fixed_pressure=mp, |
| 662 |
location_of_fixed_flux=mv, |
| 663 |
permeability=Scalar(k,Function(self.dom))) |
| 664 |
df.setTolerance(rtol=self.TOL) |
| 665 |
df.setSubProblemTolerance() |
| 666 |
v,p=df.solve(u,p, max_iter=100, verbose=VERBOSE) |
| 667 |
self.failUnless(Lsup(v-u_ref)<self.TOL*10.*Lsup(u_ref), "flux error too big.") |
| 668 |
self.failUnless(Lsup(p-p_ref)<self.TOL*10.*Lsup(p_ref), "pressure error too big.") |
| 669 |
|
| 670 |
class Test_Darcy2D(Test_Darcy): |
| 671 |
TOL=1e-4 |
| 672 |
WIDTH=1. |
| 673 |
def setUp(self): |
| 674 |
NE=40 # wrning smaller NE may case a failure for VarioF tests due to discretization errors. |
| 675 |
self.dom = Rectangle(NE,NE) |
| 676 |
self.rescaleDomain() |
| 677 |
def tearDown(self): |
| 678 |
del self.dom |
| 679 |
class Test_Darcy3D(Test_Darcy): |
| 680 |
TOL=1e-4 |
| 681 |
WIDTH=1. |
| 682 |
def setUp(self): |
| 683 |
NE=25 # wrning smaller NE may case a failure for VarioF tests due to discretization errors. |
| 684 |
self.dom = Brick(NE,NE,NE) |
| 685 |
self.rescaleDomain() |
| 686 |
def tearDown(self): |
| 687 |
del self.dom |
| 688 |
|
| 689 |
|
| 690 |
class Test_Mountains3D(unittest.TestCase): |
| 691 |
def setUp(self): |
| 692 |
NE=16 |
| 693 |
self.TOL=1e-4 |
| 694 |
self.domain=Brick(NE,NE,NE,order=1,useFullElementOrder=True) |
| 695 |
def tearDown(self): |
| 696 |
del self.domain |
| 697 |
def test_periodic(self): |
| 698 |
EPS=0.01 |
| 699 |
|
| 700 |
x=self.domain.getX() |
| 701 |
v = Vector(0.0, Solution(self.domain)) |
| 702 |
a0=1 |
| 703 |
a1=1 |
| 704 |
n0=2 |
| 705 |
n1=2 |
| 706 |
n2=0.5 |
| 707 |
a2=-(a0*n0+a1*n1)/n2 |
| 708 |
v[0]=a0*sin(pi*n0*x[0])* cos(pi*n1*x[1])* cos(pi*n2*x[2]) |
| 709 |
v[1]=a1*cos(pi*n0*x[0])* sin(pi*n1*x[1])* cos(pi*n2*x[2]) |
| 710 |
v[2]=a2*cos(pi*n0*x[0])* cos(pi*n1*x[1])* sin(pi*n2*x[2]) |
| 711 |
|
| 712 |
H_t=Scalar(0.0, Solution(self.domain)) |
| 713 |
mts=Mountains(self.domain,v,eps=EPS,z=1) |
| 714 |
u,Z=mts.update(u=v,H_t=H_t) |
| 715 |
|
| 716 |
error_int=integrate(Z) |
| 717 |
self.failUnless(error_int<self.TOL, "Boundary intergral is too large.") |
| 718 |
|
| 719 |
class Test_Mountains2D(unittest.TestCase): |
| 720 |
def setUp(self): |
| 721 |
NE=16 |
| 722 |
self.TOL=1e-4 |
| 723 |
self.domain=Rectangle(NE,NE,order=1,useFullElementOrder=True) |
| 724 |
def tearDown(self): |
| 725 |
del self.domain |
| 726 |
def test_periodic(self): |
| 727 |
EPS=0.01 |
| 728 |
|
| 729 |
x=self.domain.getX() |
| 730 |
v = Vector(0.0, Solution(self.domain)) |
| 731 |
a0=1 |
| 732 |
n0=1 |
| 733 |
n1=0.5 |
| 734 |
a1=-(a0*n0)/n1 |
| 735 |
v[0]=a0*sin(pi*n0*x[0])* cos(pi*n1*x[1]) |
| 736 |
v[1]=a1*cos(pi*n0*x[0])* sin(pi*n1*x[1]) |
| 737 |
|
| 738 |
H_t=Scalar(0.0, Solution(self.domain)) |
| 739 |
mts=Mountains(self.domain,v,eps=EPS,z=1) |
| 740 |
u,Z=mts.update(u=v,H_t=H_t) |
| 741 |
|
| 742 |
error_int=integrate(Z) |
| 743 |
self.failUnless(error_int<self.TOL, "Boundary intergral is too large.") |
| 744 |
|
| 745 |
if __name__ == '__main__': |
| 746 |
suite = unittest.TestSuite() |
| 747 |
|
| 748 |
suite.addTest(unittest.makeSuite(Test_StokesProblemCartesian2D)) |
| 749 |
suite.addTest(unittest.makeSuite(Test_Darcy3D)) |
| 750 |
suite.addTest(unittest.makeSuite(Test_Darcy2D)) |
| 751 |
suite.addTest(unittest.makeSuite(Test_StokesProblemCartesian3D)) |
| 752 |
suite.addTest(unittest.makeSuite(Test_Mountains3D)) |
| 753 |
suite.addTest(unittest.makeSuite(Test_Mountains2D)) |
| 754 |
s=unittest.TextTestRunner(verbosity=2).run(suite) |
| 755 |
if not s.wasSuccessful(): sys.exit(1) |
| 756 |
|
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