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<?xml version="1.0" encoding="UTF-8" ?>
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<!DOCTYPE testproblem SYSTEM "regressiontest.dtd">
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<name>cv_mass_matrix_check_p2</name>
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<owner userid="btollit"/>
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<problem_definition length="short" nprocs="1">
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../../bin/fluidity cv_mass_matrix_check_p2_1d.flml
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../../bin/fluidity cv_mass_matrix_check_p2_2d.flml
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../../bin/fluidity cv_mass_matrix_check_p2_3d.flml
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<!-- One/two/three dimensional problem for using p2 elements to soley check that the CV mass matrix is correct for one element.-->
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<variable name="element_volume_1d" language="python">
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from fluidity_tools import stat_parser as stat
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element_volume_1d = stat("cv_mass_matrix_check_p2_1d.stat")["fluid"]["ElementVolume"]["max"][-1]
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<variable name="max_cv_mass_1d" language="python">
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from fluidity_tools import stat_parser as stat
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max_cv_mass_1d = stat("cv_mass_matrix_check_p2_1d.stat")["fluid"]["CVMassMatrix"]["max"][-1]
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<variable name="min_cv_mass_1d" language="python">
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from fluidity_tools import stat_parser as stat
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min_cv_mass_1d = stat("cv_mass_matrix_check_p2_1d.stat")["fluid"]["CVMassMatrix"]["min"][-1]
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<variable name="sum_cv_mass_1d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_cv_mass_1d = stat("cv_mass_matrix_check_p2_1d.stat")["fluid"]["SumCVMassMatrix"]["max"][-1]
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<variable name="sum_fe_lumped_mass_1d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_fe_lumped_mass_1d = stat("cv_mass_matrix_check_p2_1d.stat")["fluid"]["SumFELumpedMassMatrix"]["max"][-1]
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<variable name="element_volume_2d" language="python">
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from fluidity_tools import stat_parser as stat
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element_volume_2d = stat("cv_mass_matrix_check_p2_2d.stat")["fluid"]["ElementVolume"]["max"][-1]
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<variable name="max_cv_mass_2d" language="python">
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from fluidity_tools import stat_parser as stat
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max_cv_mass_2d = stat("cv_mass_matrix_check_p2_2d.stat")["fluid"]["CVMassMatrix"]["max"][-1]
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<variable name="min_cv_mass_2d" language="python">
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from fluidity_tools import stat_parser as stat
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min_cv_mass_2d = stat("cv_mass_matrix_check_p2_2d.stat")["fluid"]["CVMassMatrix"]["min"][-1]
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<variable name="sum_cv_mass_2d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_cv_mass_2d = stat("cv_mass_matrix_check_p2_2d.stat")["fluid"]["SumCVMassMatrix"]["max"][-1]
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<variable name="sum_fe_lumped_mass_2d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_fe_lumped_mass_2d = stat("cv_mass_matrix_check_p2_2d.stat")["fluid"]["SumFELumpedMassMatrix"]["max"][-1]
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<variable name="element_volume_3d" language="python">
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from fluidity_tools import stat_parser as stat
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element_volume_3d = stat("cv_mass_matrix_check_p2_3d.stat")["fluid"]["ElementVolume"]["max"][-1]
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<variable name="max_cv_mass_3d" language="python">
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from fluidity_tools import stat_parser as stat
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max_cv_mass_3d = stat("cv_mass_matrix_check_p2_3d.stat")["fluid"]["CVMassMatrix"]["max"][-1]
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<variable name="min_cv_mass_3d" language="python">
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from fluidity_tools import stat_parser as stat
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min_cv_mass_3d = stat("cv_mass_matrix_check_p2_3d.stat")["fluid"]["CVMassMatrix"]["min"][-1]
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<variable name="sum_cv_mass_3d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_cv_mass_3d = stat("cv_mass_matrix_check_p2_3d.stat")["fluid"]["SumCVMassMatrix"]["max"][-1]
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<variable name="sum_fe_lumped_mass_3d" language="python">
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from fluidity_tools import stat_parser as stat
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sum_fe_lumped_mass_3d = stat("cv_mass_matrix_check_p2_3d.stat")["fluid"]["SumFELumpedMassMatrix"]["max"][-1]
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<test name="check that the sum of the CV mass matrix is the element volume for 1d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral CV mass for 1d: ",abs(element_volume_1d - sum_cv_mass_1d)
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assert abs(element_volume_1d - sum_cv_mass_1d) < 1e-10
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<test name="check that the sum of the FE lumped mass matrix is the element volume for 1d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral FE lumped mass for 1d: ",abs(element_volume_1d - sum_fe_lumped_mass_1d)
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assert abs(element_volume_1d - sum_fe_lumped_mass_1d) < 1e-10
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<test name="check that the max of the CV mass matrix is the element volume divided by 2 for 1d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume divided by 2 to max CV mass for 1d: ",abs((element_volume_1d/2.0) - max_cv_mass_1d)
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assert abs((element_volume_1d/2.0) - max_cv_mass_1d) < 1e-10
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<test name="check that the max of the CV mass matrix is equal to the min of the CV mass matrix times 2 for 1d to tolerance 1.0e-10 " language="python">
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print "Difference of max CV mass matrix to min CV mass matrix times 2 for 1d: ",abs(max_cv_mass_1d - 2*min_cv_mass_1d)
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assert abs(max_cv_mass_1d - 2*min_cv_mass_1d) < 1e-10
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<test name="check that the sum of the CV mass matrix is the element volume for 2d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral CV mass for 2d: ",abs(element_volume_2d - sum_cv_mass_2d)
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assert abs(element_volume_2d - sum_cv_mass_2d) < 1e-10
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<test name="check that the sum of the FE lumped mass matrix is the element volume for 2d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral FE lumped mass for 2d: ",abs(element_volume_2d - sum_fe_lumped_mass_2d)
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assert abs(element_volume_2d - sum_fe_lumped_mass_2d) < 1e-10
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<test name="check that the max of the CV mass matrix is the element volume divided by 4 for 2d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume divided by 4 to max CV mass for 2d: ",abs((element_volume_2d/4.0) - max_cv_mass_2d)
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assert abs((element_volume_2d/4.0) - max_cv_mass_2d) < 1e-10
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<test name="check that the max of the CV mass matrix is equal to the min of the CV mass matrix times 3 for 2d to tolerance 1.0e-10 " language="python">
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print "Difference of max CV mass matrix to min CV mass matrix times 3 for 2d: ",abs(max_cv_mass_2d - 3*min_cv_mass_2d)
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assert abs(max_cv_mass_2d - 3*min_cv_mass_2d) < 1e-10
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<test name="check that the sum of the CV mass matrix is the element volume for 3d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral CV mass for 3d: ",abs(element_volume_3d - sum_cv_mass_3d)
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assert abs(element_volume_3d - sum_cv_mass_3d) < 1e-10
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<test name="check that the sum of the FE lumped mass matrix is the element volume for 3d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume to integral FE lumped mass for 3d: ",abs(element_volume_3d - sum_fe_lumped_mass_3d)
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assert abs(element_volume_3d - sum_fe_lumped_mass_3d) < 1e-10
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<test name="check that the max of the CV mass matrix is the element volume times by 7/48 for 3d to tolerance 1.0e-10 " language="python">
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print "Difference of element volume times by 7/48 to max CV mass for 3d: ",abs((element_volume_3d*7/48) - max_cv_mass_3d)
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assert abs((element_volume_3d*7/48) - max_cv_mass_3d) < 1e-10
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<test name="check that the max of the CV mass matrix is equal to the min of the CV mass matrix times 7/1.5 for 3d to tolerance 1.0e-10 " language="python">
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print "Difference of max CV mass matrix to min CV mass matrix times 7/1.5 for 3d: ",abs(max_cv_mass_3d - min_cv_mass_3d*7/1.5)
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assert abs(max_cv_mass_3d - min_cv_mass_3d*7/1.5) < 1e-10
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tests/cv_mass_matrix_check_p2/cv_mass_matrix_check_p2.xml
