From 7388faf35135cf805f731e7da16dcbeb28aa836c Mon Sep 17 00:00:00 2001 From: Dmitri Naumov <github@naumov.de> Date: Tue, 18 Oct 2022 16:37:36 +0200 Subject: [PATCH] [T] Manufactured solutions for T, axisymm. test Both, the 2D in cylinder coordinates test and the corresponding 3D wedge in cartesian coordinates are updated. Verified against analytical solution given in both project files for initial conditions. New references are provided for numerical comparison. --- ProcessLib/HeatConduction/Tests.cmake | 27 ++++---- .../T/2D_axially_symmetric/square_1e2_axi.prj | 50 +++++++++----- .../square_1e2_axi_ts_10_t_1.000000.vtu | 33 +++++++++ .../square_1x1_quad_1e2.vtu | 43 ++++-------- .../wedge-1e2-ang-0.02.vtu | 35 ++++------ .../wedge_1e2_axi_ang_0.02.prj | 50 +++++++++----- ...e2_axi_ang_0.02_t_2s_extracted_surface.vtu | 69 ------------------- .../wedge_ang_0.02_ts_10_t_1.000000.vtu | 31 +++++++++ .../wedge_ang_0.02_ts_2_t_2.000000.vtu | 29 -------- 9 files changed, 165 insertions(+), 202 deletions(-) create mode 100644 Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi_ts_10_t_1.000000.vtu delete mode 100644 Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu create mode 100644 Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_ang_0.02_ts_10_t_1.000000.vtu delete mode 100644 Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_ang_0.02_ts_2_t_2.000000.vtu diff --git a/ProcessLib/HeatConduction/Tests.cmake b/ProcessLib/HeatConduction/Tests.cmake index a9f63a7f22f..ecd6d10fe47 100644 --- a/ProcessLib/HeatConduction/Tests.cmake +++ b/ProcessLib/HeatConduction/Tests.cmake @@ -130,21 +130,20 @@ AddTest( REQUIREMENTS OGS_USE_MPI ) # SQUARE 1x1 HEAT CONDUCTION TEST -- AXIALLY SYMMETRIC -# test results are compared to 3D simulation on a wedge-shaped domain +# The results were compared to an analytical solution (method of manufactured +# solutions). The vtkdiff comparison is against the numerical solution. AddTest( - NAME 2D_HeatConduction_axi - PATH Parabolic/T/2D_axially_symmetric - EXECUTABLE ogs - EXECUTABLE_ARGS square_1e2_axi.prj - TESTER vtkdiff - DIFF_DATA - wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu square_1e2_axi_ts_2_t_2.000000.vtu temperature temperature 1.7e-5 1e-5 - wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu square_1e2_axi_ts_2_t_2.000000.vtu heat_flux heat_flux 1.7e-5 1e-5 + NAME 2D_HeatConduction_axi + PATH Parabolic/T/2D_axially_symmetric + EXECUTABLE ogs + EXECUTABLE_ARGS square_1e2_axi.prj + TESTER vtkdiff + DIFF_DATA + square_1e2_axi_ts_10_t_1.000000.vtu square_1e2_axi_ts_10_t_1.000000.vtu temperature temperature 2e-15 0 + square_1e2_axi_ts_10_t_1.000000.vtu square_1e2_axi_ts_10_t_1.000000.vtu heat_flux heat_flux 1e-14 0 REQUIREMENTS NOT OGS_USE_MPI ) - -# WEDGE 1x1 HEATCONDUCTION TEST -- computes reference results for the above -# 2D_HeatConduction_axi test +# WEDGE 1x1 HEAT CONDUCTION TEST -- same setup as above test but in cartesian coordinates AddTest( NAME 2D_HeatConduction_wedge PATH Parabolic/T/2D_axially_symmetric @@ -152,8 +151,8 @@ AddTest( EXECUTABLE_ARGS wedge_1e2_axi_ang_0.02.prj TESTER vtkdiff DIFF_DATA - wedge_ang_0.02_ts_2_t_2.000000.vtu wedge_ang_0.02_ts_2_t_2.000000.vtu temperature temperature 1.7e-5 1e-5 - wedge_ang_0.02_ts_2_t_2.000000.vtu wedge_ang_0.02_ts_2_t_2.000000.vtu heat_flux heat_flux 1.7e-5 1e-5 + wedge_ang_0.02_ts_10_t_1.000000.vtu wedge_ang_0.02_ts_10_t_1.000000.vtu temperature temperature 2e-14 0 + wedge_ang_0.02_ts_10_t_1.000000.vtu wedge_ang_0.02_ts_10_t_1.000000.vtu heat_flux heat_flux 1e-13 0 REQUIREMENTS NOT OGS_USE_MPI ) diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi.prj b/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi.prj index 22e44ef4874..ab97949afae 100644 --- a/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi.prj +++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi.prj @@ -32,7 +32,7 @@ <property> <name>density</name> <type>Constant</type> - <value>2.0</value> + <value>1</value> </property> </properties> </medium> @@ -44,19 +44,19 @@ <convergence_criterion> <type>DeltaX</type> <norm_type>NORM2</norm_type> - <abstol>1.e-6</abstol> + <abstol>1e-14</abstol> </convergence_criterion> <time_discretization> <type>BackwardEuler</type> </time_discretization> <time_stepping> <type>FixedTimeStepping</type> - <t_initial> 0.0 </t_initial> - <t_end> 2.0 </t_end> + <t_initial>0</t_initial> + <t_end>1</t_end> <timesteps> <pair> <repeat>1</repeat> - <delta_t>1</delta_t> + <delta_t>0.1</delta_t> </pair> </timesteps> </time_stepping> @@ -67,27 +67,27 @@ <prefix>square_1e2_axi</prefix> <timesteps> <pair> - <repeat> 1 </repeat> - <each_steps> 2 </each_steps> + <repeat>1</repeat> + <each_steps>10</each_steps> </pair> </timesteps> <variables> - <variable> temperature </variable> - <variable> heat_flux </variable> + <variable>temperature</variable> + <variable>heat_flux</variable> </variables> <suffix>_ts_{:timestep}_t_{:time}</suffix> </output> </time_loop> <parameters> <parameter> - <name>T0</name> - <type>Constant</type> - <value>0</value> + <name>solution</name> + <type>Function</type> + <expression>t * sin(2*pi*y) * x^2</expression> </parameter> <parameter> - <name>heat_flux_bottom</name> - <type>Constant</type> - <value>1</value> + <name>dsolution_dy</name> + <type>Function</type> + <expression>-t * 2*pi*cos(2*pi*y) * x^2</expression> </parameter> <parameter> <name>heat_transfer_coefficient</name> @@ -96,8 +96,13 @@ </parameter> <parameter> <name>ambient_temperature</name> - <type>Constant</type> - <value>0</value> + <type>Function</type> + <expression>3 * t * sin(2*pi*y)</expression> + </parameter> + <parameter> + <name>source_term</name> + <type>Function</type> + <expression>sin(2*pi*y) * ((1 + 4*pi^2*t)*x^2 - 4*t)</expression> </parameter> </parameters> <process_variables> @@ -105,13 +110,13 @@ <name>temperature</name> <components>1</components> <order>1</order> - <initial_condition>T0</initial_condition> + <initial_condition>solution</initial_condition> <boundary_conditions> <boundary_condition> <geometrical_set>geometry</geometrical_set> <geometry>bottom</geometry> <type>Neumann</type> - <parameter>heat_flux_bottom</parameter> + <parameter>dsolution_dy</parameter> </boundary_condition> <boundary_condition> <geometrical_set>geometry</geometrical_set> @@ -127,6 +132,13 @@ <u_0>ambient_temperature</u_0> </boundary_condition> </boundary_conditions> + <source_terms> + <source_term> + <mesh>square_1x1_quad_1e2</mesh> + <type>Volumetric</type> + <parameter>source_term</parameter> + </source_term> + </source_terms> </process_variable> </process_variables> <nonlinear_solvers> diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi_ts_10_t_1.000000.vtu b/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi_ts_10_t_1.000000.vtu new file mode 100644 index 00000000000..9d73203d881 --- /dev/null +++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/square_1e2_axi_ts_10_t_1.000000.vtu @@ -0,0 +1,33 @@ +<?xml version="1.0"?> +<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor"> + <UnstructuredGrid> + <FieldData> + <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="21" format="appended" RangeMin="45" RangeMax="103" offset="0" /> + </FieldData> + <Piece NumberOfPoints="121" NumberOfCells="100" > + <PointData> + <DataArray type="Float64" Name="D1_left_bottom_N1_right" format="appended" RangeMin="1" RangeMax="1.6753144833" offset="84" /> + <DataArray type="Float64" Name="HeatFlowRate" format="appended" RangeMin="-2.7337143975" RangeMax="2.724425242" offset="1228" /> + <DataArray type="Float64" Name="Linear_1_to_minus1" format="appended" RangeMin="-1" RangeMax="1" offset="2192" /> + <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="120" offset="2320" /> + <DataArray type="Float64" Name="heat_flux" NumberOfComponents="2" format="appended" RangeMin="0.0080858455" RangeMax="5.8788475555" offset="2632" /> + <DataArray type="Float64" Name="temperature" format="appended" RangeMin="-0.95020414934" RangeMax="0.94129055242" offset="5176" /> + </PointData> + <CellData> + <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0" RangeMax="0" offset="6468" /> + <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="99" offset="6532" /> + </CellData> + <Points> + <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="1.4142135624" offset="6812" /> + </Points> + <Cells> + <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="7348" /> + <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="8072" /> + <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" 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+ </AppendedData> </VTKFile> diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj index 969f67589e1..faa08c3b430 100644 --- a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj +++ b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02.prj @@ -32,7 +32,7 @@ <property> <name>density</name> <type>Constant</type> - <value>2.0</value> + <value>1</value> </property> </properties> </medium> @@ -44,19 +44,19 @@ <convergence_criterion> <type>DeltaX</type> <norm_type>NORM2</norm_type> - <abstol>1.e-6</abstol> + <abstol>1e-13</abstol> </convergence_criterion> <time_discretization> <type>BackwardEuler</type> </time_discretization> <time_stepping> <type>FixedTimeStepping</type> - <t_initial> 0.0 </t_initial> - <t_end> 2.0 </t_end> + <t_initial>0</t_initial> + <t_end>1</t_end> <timesteps> <pair> <repeat>1</repeat> - <delta_t>1</delta_t> + <delta_t>0.1</delta_t> </pair> </timesteps> </time_stepping> @@ -67,27 +67,27 @@ <prefix>wedge_ang_0.02</prefix> <timesteps> <pair> - <repeat> 1 </repeat> - <each_steps> 2 </each_steps> + <repeat>1</repeat> + <each_steps>10</each_steps> </pair> </timesteps> <variables> - <variable> temperature </variable> - <variable> heat_flux </variable> + <variable>temperature</variable> + <variable>heat_flux</variable> </variables> <suffix>_ts_{:timestep}_t_{:time}</suffix> </output> </time_loop> <parameters> <parameter> - <name>T0</name> - <type>Constant</type> - <value>0</value> + <name>solution</name> + <type>Function</type> + <expression>t * sin(2*pi*z) * (x^2+y^2)</expression> </parameter> <parameter> - <name>heat_flux_bottom</name> - <type>Constant</type> - <value>1</value> + <name>dsolution_dy</name> + <type>Function</type> + <expression>-t * 2*pi*cos(2*pi*z) * (x^2+y^2)</expression> </parameter> <parameter> <name>heat_transfer_coefficient</name> @@ -96,8 +96,13 @@ </parameter> <parameter> <name>ambient_temperature</name> - <type>Constant</type> - <value>0</value> + <type>Function</type> + <expression>3 * t * sin(2*pi*z)</expression> + </parameter> + <parameter> + <name>source_term</name> + <type>Function</type> + <expression>sin(2*pi*z) * ((1 + 4*pi^2*t)*(x^2+y^2) - 4*t)</expression> </parameter> </parameters> <process_variables> @@ -105,13 +110,13 @@ <name>temperature</name> <components>1</components> <order>1</order> - <initial_condition>T0</initial_condition> + <initial_condition>solution</initial_condition> <boundary_conditions> <boundary_condition> <geometrical_set>geometry</geometrical_set> <geometry>bottom</geometry> <type>Neumann</type> - <parameter>heat_flux_bottom</parameter> + <parameter>dsolution_dy</parameter> </boundary_condition> <boundary_condition> <geometrical_set>geometry</geometrical_set> @@ -127,6 +132,13 @@ <u_0>ambient_temperature</u_0> </boundary_condition> </boundary_conditions> + <source_terms> + <source_term> + <mesh>wedge-1e2-ang-0.02</mesh> + <type>Volumetric</type> + <parameter>source_term</parameter> + </source_term> + </source_terms> </process_variable> </process_variables> <nonlinear_solvers> diff --git a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu b/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu deleted file mode 100644 index 5d22379a178..00000000000 --- a/Tests/Data/Parabolic/T/2D_axially_symmetric/wedge_1e2_axi_ang_0.02_t_2s_extracted_surface.vtu +++ /dev/null @@ -1,69 +0,0 @@ -<?xml version="1.0"?> -<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64" compressor="vtkZLibDataCompressor"> - <UnstructuredGrid> - <FieldData> - <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="26" format="appended" RangeMin="45" RangeMax="121" offset="0" > - </DataArray> - </FieldData> - <Piece NumberOfPoints="121" NumberOfCells="100" > - <PointData> - <DataArray type="Float64" 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