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<?xml version="1.0" encoding="UTF-8" ?>
<testproblem>
<name>p1cv advection equation spatial convergence test</name>
<owner userid="cwilson"/>
<tags>flml</tags>
<problem_definition length="medium" nprocs="1">
<command_line>fluidity MMS_A_cv.flml > MMS_A.log; fluidity MMS_B_cv.flml > MMS_B.log; fluidity MMS_C_cv.flml > MMS_C.log; fluidity MMS_D_cv.flml > MMS_D.log</command_line>
</problem_definition>
<variables>
<variable name="ab_convergence_gal_stat" language="python">
from fluidity_tools import stat_parser as stat
from math import log
a_error = stat("MMS_A_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
b_error = stat("MMS_B_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
a_error_inf = stat("MMS_A_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
b_error_inf = stat("MMS_B_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
print a_error
print b_error
print a_error_inf
print b_error_inf
ab_ratio = a_error / b_error
ab_ratio_inf = a_error_inf / b_error_inf
ab_convergence_gal_stat = [log(ab_ratio, 2), log(ab_ratio_inf, 2)]
</variable>
<variable name="bc_convergence_gal_stat" language="python">
from fluidity_tools import stat_parser as stat
from math import log
b_error = stat("MMS_B_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
c_error = stat("MMS_C_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
b_error_inf = stat("MMS_B_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
c_error_inf = stat("MMS_C_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
print b_error
print c_error
print b_error_inf
print c_error_inf
bc_ratio = b_error / c_error
bc_ratio_inf = b_error_inf / c_error_inf
bc_convergence_gal_stat = [log(bc_ratio, 2), log(bc_ratio_inf, 2)]
</variable>
<variable name="cd_convergence_gal_stat" language="python">
from fluidity_tools import stat_parser as stat
from math import log
c_error = stat("MMS_C_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
d_error = stat("MMS_D_cv.stat")["Burgers"]["AbsoluteDifference"]["cv_l2norm"][-1]
c_error_inf = stat("MMS_C_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
d_error_inf = stat("MMS_D_cv.stat")["Burgers"]["AbsoluteDifference"]["max"][-1]
print c_error
print d_error
print c_error_inf
print d_error_inf
cd_ratio = c_error / d_error
cd_ratio_inf = c_error_inf / d_error_inf
cd_convergence_gal_stat = [log(cd_ratio, 2), log(cd_ratio_inf, 2)]
</variable>
<variable name="a_finish_time" language="python">
from fluidity_tools import stat_parser as stat
a_finish_time = stat("MMS_A_cv.stat")["ElapsedTime"]["value"][-1]
</variable>
<variable name="b_finish_time" language="python">
from fluidity_tools import stat_parser as stat
b_finish_time = stat("MMS_B_cv.stat")["ElapsedTime"]["value"][-1]
</variable>
<variable name="c_finish_time" language="python">
from fluidity_tools import stat_parser as stat
c_finish_time = stat("MMS_C_cv.stat")["ElapsedTime"]["value"][-1]
</variable>
<variable name="d_finish_time" language="python">
from fluidity_tools import stat_parser as stat
d_finish_time = stat("MMS_D_cv.stat")["ElapsedTime"]["value"][-1]
</variable>
<variable name="a_final_change" language="python">
import vtktools
from fluidity_tools import stat_parser as stat
vtu = vtktools.vtu("MMS_A_cv_1.vtu")
dt = stat("MMS_A_cv.stat")["dt"]["value"][-1]
a_final_change = max(abs(vtu.GetScalarField("NumericalSolution")-vtu.GetScalarField("OldNumericalSolution"))/dt)
</variable>
<variable name="b_final_change" language="python">
import vtktools
from fluidity_tools import stat_parser as stat
vtu = vtktools.vtu("MMS_B_cv_1.vtu")
dt = stat("MMS_B_cv.stat")["dt"]["value"][-1]
b_final_change = max(abs(vtu.GetScalarField("NumericalSolution")-vtu.GetScalarField("OldNumericalSolution"))/dt)
</variable>
<variable name="c_final_change" language="python">
import vtktools
from fluidity_tools import stat_parser as stat
vtu = vtktools.vtu("MMS_C_cv_1.vtu")
dt = stat("MMS_C_cv.stat")["dt"]["value"][-1]
c_final_change = max(abs(vtu.GetScalarField("NumericalSolution")-vtu.GetScalarField("OldNumericalSolution"))/dt)
</variable>
<variable name="d_final_change" language="python">
import vtktools
from fluidity_tools import stat_parser as stat
vtu = vtktools.vtu("MMS_D_cv_1.vtu")
dt = stat("MMS_D_cv.stat")["dt"]["value"][-1]
d_final_change = max(abs(vtu.GetScalarField("NumericalSolution")-vtu.GetScalarField("OldNumericalSolution"))/dt)
</variable>
</variables>
<pass_tests>
<test name="ab_convergence_stat: L2 order in [0.8,1.2]" language="python">
assert(abs(ab_convergence_gal_stat[0]-1.0) < 0.2)
</test>
<test name="bc_convergence_stat: L2 order in [0.8,1.2]" language="python">
assert(abs(bc_convergence_gal_stat[0]-1.0) < 0.2)
</test>
<test name="cd_convergence_stat: L2 order in [0.8,1.2]" language="python">
assert(abs(cd_convergence_gal_stat[0]-1.0) < 0.2)
</test>
<test name="checking A finished in less than 3.0" language="python">
assert(a_finish_time-3.0 < 1.E-10)
</test>
<test name="checking B finished in less than 2.0" language="python">
assert(b_finish_time-2.0 < 1.E-10)
</test>
<test name="checking C finished in less than 1.5" language="python">
assert(c_finish_time-1.5 < 1.E-10)
</test>
<test name="checking D finished in less than 1.5" language="python">
assert(d_finish_time-1.5 < 1.E-10)
</test>
<test name="checking steady state was reached in A" language="python">
assert(a_final_change < 1.E-10)
</test>
<test name="checking steady state was reached in B" language="python">
assert(b_final_change < 1.E-10)
</test>
<test name="checking steady state was reached in C" language="python">
assert(c_final_change < 1.E-10)
</test>
<test name="checking steady state was reached in D" language="python">
assert(d_final_change < 1.E-10)
</test>
</pass_tests>
<warn_tests>
</warn_tests>
</testproblem>
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