diff --git a/ProcessLib/TH2M/Tests.cmake b/ProcessLib/TH2M/Tests.cmake
index 751082651895ce0c8364a63e58e7cbb993882f52..1c34a3537bfed0e87af643c1f467de6a3796721f 100644
--- a/ProcessLib/TH2M/Tests.cmake
+++ b/ProcessLib/TH2M/Tests.cmake
@@ -5,6 +5,7 @@ if (NOT OGS_USE_MPI)
OgsTest(PROJECTFILE TH2M/HM/Confined_Compression/HM_confined_compression_liquid.prj RUNTIME 50)
OgsTest(PROJECTFILE TH2M/THM/Confined_Compression/THM_confined_compression_gas.prj RUNTIME 55)
OgsTest(PROJECTFILE TH2M/THM/Confined_Compression/THM_confined_compression_liquid.prj RUNTIME 55)
+ OgsTest(PROJECTFILE TH2M/TH/idealGasLaw/compression_gas.prj RUNTIME 1)
endif()
# TH2M 1d heat diffusion w/ Dirichlet-BC
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/bottom.vtu b/Tests/Data/TH2M/TH/idealGasLaw/bottom.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..8b9c294f31143748f4eec78e3990340a657d6916
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/bottom.vtu
@@ -0,0 +1,27 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="2" NumberOfCells="1" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="1" offset="0" />
+ <DataArray type="Int64" Name="vtkOriginalPointIds" format="appended" RangeMin="0" RangeMax="1" offset="32" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="0" offset="64" />
+ <DataArray type="UInt64" Name="bulk_face_ids" format="appended" RangeMin="0" RangeMax="0" offset="88" />
+ <DataArray type="Int64" Name="vtkOriginalCellIds" format="appended" RangeMin="0" RangeMax="0" offset="112" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="1" offset="136" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="212" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="244" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="268" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _EAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAACAAAAAAAAAAAAAAAAAAAAA==CAAAAAAAAAAAAAAAAAAAAA==CAAAAAAAAAAAAAAAAAAAAA==MAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADwPwAAAAAAAAAAAAAAAAAAAAA=EAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAACAAAAAAAAAACAAAAAAAAAA==AQAAAAAAAAAD
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/boundary.vtu b/Tests/Data/TH2M/TH/idealGasLaw/boundary.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..e84e397036fedfb5ce747a87a5871be231df74c6
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/boundary.vtu
@@ -0,0 +1,25 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="4" NumberOfCells="4" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="3" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="0" offset="56" />
+ <DataArray type="UInt64" Name="bulk_face_ids" format="appended" RangeMin="0" RangeMax="3" offset="112" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="1.4142135624" offset="168" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="308" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="404" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="460" />
+ </Cells>
+ </Piece>
+ </UnstructuredGrid>
+ <AppendedData encoding="base64">
+ _IAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAgAAAAAAAAADAAAAAAAAAA==IAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA==IAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAgAAAAAAAAADAAAAAAAAAA==YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADwPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAPA/AAAAAAAAAAAAAAAAAADwPwAAAAAAAPA/AAAAAAAAAAA=QAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAAADAAAAAAAAAAMAAAAAAAAAAgAAAAAAAAACAAAAAAAAAAAAAAAAAAAAIAAAAAAAAAACAAAAAAAAAAQAAAAAAAAABgAAAAAAAAAIAAAAAAAAAA==BAAAAAAAAAADAwMD
+ </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/compression_gas.prj b/Tests/Data/TH2M/TH/idealGasLaw/compression_gas.prj
new file mode 100644
index 0000000000000000000000000000000000000000..fdacedca14631f9e8ad9c6c07553e198b134b6b8
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/compression_gas.prj
@@ -0,0 +1,537 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+ <meshes>
+ <mesh axially_symmetric="false">domain.vtu</mesh>
+ <mesh axially_symmetric="false">boundary.vtu</mesh>
+ <mesh axially_symmetric="false">left.vtu</mesh>
+ <mesh axially_symmetric="false">right.vtu</mesh>
+ <mesh axially_symmetric="false">top.vtu</mesh>
+ <mesh axially_symmetric="false">bottom.vtu</mesh>
+ </meshes>
+ <processes>
+ <process>
+ <name>TH2M</name>
+ <type>TH2M</type>
+ <integration_order>2</integration_order>
+ <constitutive_relation>
+ <type>LinearElasticIsotropic</type>
+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <jacobian_assembler>
+ <type>CentralDifferences</type>
+ <component_magnitudes>
+ 1e5 1e5 1e5 1e5
+ 1e5 1e5 1e5 1e5
+ 1e2 1e2 1e2 1e2
+ 1e-2 1e-2 1e-2 1e-2
+ 1e-2 1e-2 1e-2 1e-2
+ </component_magnitudes>
+ <relative_epsilons>
+ 1e-08 1e-08 1e-08 1e-08
+ 1e-08 1e-08 1e-08 1e-08
+ 1e-08 1e-08 1e-08 1e-08
+ 1e-08 1e-08 1e-08 1e-08
+ 1e-08 1e-08 1e-08 1e-08</relative_epsilons>
+ </jacobian_assembler>
+ <reference_temperature>T0</reference_temperature>
+ <process_variables>
+ <gas_pressure>gas_pressure</gas_pressure>
+ <capillary_pressure>capillary_pressure</capillary_pressure>
+ <temperature>temperature</temperature>
+ <displacement>displacement</displacement>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable internal_name="velocity_gas" output_name="velocity_gas"/>
+ <secondary_variable internal_name="velocity_liquid" output_name="velocity_liquid"/>
+ <secondary_variable internal_name="sigma" output_name="sigma"/>
+ <secondary_variable internal_name="epsilon" output_name="epsilon"/>
+ <secondary_variable internal_name="liquid_density" output_name="liquid_density"/>
+ <secondary_variable internal_name="gas_density" output_name="gas_density"/>
+ <secondary_variable internal_name="solid_density" output_name="solid_density"/>
+ <secondary_variable internal_name="vapour_pressure" output_name="vapour_pressure"/>
+ <secondary_variable internal_name="porosity" output_name="porosity"/>
+ <secondary_variable internal_name="saturation" output_name="saturation"/>
+ <secondary_variable internal_name="mole_fraction_gas" output_name="xnCG"/>
+ <secondary_variable internal_name="mass_fraction_gas" output_name="xmCG"/>
+ <secondary_variable internal_name="mass_fraction_liquid" output_name="xmWL"/>
+ <secondary_variable internal_name="relative_permeability_gas" output_name="k_rel_G"/>
+ <secondary_variable internal_name="relative_permeability_liquid" output_name="k_rel_L"/>
+ </secondary_variables>
+ <specific_body_force>0 0</specific_body_force>
+ </process>
+ </processes>
+ <media>
+ <medium id="0">
+ <phases>
+ <phase>
+ <type>Gas</type>
+ <properties>
+ <property>
+ <name>specific_heat_capacity</name>
+ <type>Constant</type>
+ <value>1000</value>
+ </property>
+ <property>
+ <name>thermal_conductivity</name>
+ <type>Constant</type>
+ <value>1</value>
+ </property>
+ <property>
+ <name>molar_mass</name>
+ <type>Constant</type>
+ <value>0.01</value>
+ </property>
+ <property>
+ <name>density</name>
+ <type>IdealGasLaw</type>
+ </property>
+ <!-- <property>
+ <name>density</name>
+ <type>Linear</type>
+ <reference_value>1</reference_value>
+ <independent_variable>
+ <variable_name>phase_pressure</variable_name>
+ <reference_condition>1000000</reference_condition>
+ <slope>0.0001</slope>
+ </independent_variable>
+ <independent_variable>
+ <variable_name>temperature</variable_name>
+ <reference_condition>270</reference_condition>
+ <slope>-0.01</slope>
+ </independent_variable>
+ </property> -->
+ <property>
+ <name>viscosity</name>
+ <type>Constant</type>
+ <value>1.0e-5</value>
+ </property>
+ </properties>
+ </phase>
+ <phase>
+ <type>AqueousLiquid</type>
+ <properties>
+ <property>
+ <name>molar_mass</name>
+ <type>Constant</type>
+ <value>0.01</value>
+ </property>
+ <property>
+ <name>specific_heat_capacity</name>
+ <type>Constant</type>
+ <value>1000.0</value>
+ </property>
+ <property>
+ <name>thermal_conductivity</name>
+ <type>Constant</type>
+ <value>1</value>
+ </property>
+ <property>
+ <name>density</name>
+ <type>Constant</type>
+ <value>1</value>
+ </property>
+ <!-- <property>
+ <name>density</name>
+ <type>IdealGasLaw</type>
+ </property> -->
+ <property>
+ <name>viscosity</name>
+ <type>Constant</type>
+ <value>2.e-3</value>
+ </property>
+ </properties>
+ </phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>density</name>
+ <type>Constant</type>
+ <value>2500.0</value>
+ </property>
+ <property>
+ <name>thermal_conductivity</name>
+ <type>Constant</type>
+ <value>1</value>
+ </property>
+ <property>
+ <name>specific_heat_capacity</name>
+ <type>Constant</type>
+ <value>00</value>
+ </property>
+ <property>
+ <name>thermal_expansivity</name>
+ <type>Constant</type>
+ <value>0.0</value>
+ </property>
+ </properties>
+ </phase>
+ </phases>
+ <properties>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>2.5e-12</value>
+ </property>
+ <property>
+ <name>biot_coefficient</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </property>
+ <property>
+ <name>saturation</name>
+ <type>Constant</type>
+ <value>0.</value>
+ </property>
+ <property>
+ <name>relative_permeability</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </property>
+ <property>
+ <name>relative_permeability_nonwetting_phase</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </property>
+ <property>
+ <name>porosity</name>
+ <type>Constant</type>
+ <value>1.0</value>
+ </property>
+ </properties>
+ </medium>
+ </media>
+ <time_loop>
+ <processes>
+ <process ref="TH2M">
+ <nonlinear_solver>basic_newton</nonlinear_solver>
+ <compensate_non_equilibrium_initial_residuum>false</compensate_non_equilibrium_initial_residuum>
+ <convergence_criterion>
+ <type>PerComponentDeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstols>1e-12 1e-12 1e-12 1e-12 1e-12</abstols>
+ <reltols>1e-15 1e-15 1e-10 1e-15 1e-15</reltols>
+ </convergence_criterion>
+ <time_discretization>
+ <type>BackwardEuler</type>
+ </time_discretization>
+ <time_stepping>
+ <type>FixedTimeStepping</type>
+ <t_initial>0</t_initial>
+ <t_end>10</t_end>
+ <timesteps>
+ <pair>
+ <repeat>100</repeat>
+ <delta_t>0.1</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>result_compression_gas</prefix>
+ <timesteps>
+ <pair>
+ <repeat>1</repeat>
+ <each_steps>10</each_steps>
+ </pair>
+ </timesteps>
+ <variables>
+ <variable>gas_pressure</variable>
+ <variable>gas_pressure_interpolated</variable>
+ <variable>capillary_pressure</variable>
+ <variable>capillary_pressure_interpolated</variable>
+ <variable>liquid_pressure_interpolated</variable>
+ <variable>temperature</variable>
+ <variable>temperature_interpolated</variable>
+ <variable>displacement</variable>
+ <variable>sigma</variable>
+ <variable>epsilon</variable>
+ <variable>velocity_gas</variable>
+ <variable>velocity_liquid</variable>
+ <variable>liquid_density</variable>
+ <variable>gas_density</variable>
+ <variable>solid_density</variable>
+ <variable>vapour_pressure</variable>
+ <variable>porosity</variable>
+ <variable>saturation</variable>
+ <variable>xnGC</variable>
+ <variable>xmGC</variable>
+ <variable>xmWL</variable>
+ <variable>rhoG_hG_dot</variable>
+ <variable>rhoL_hL_dot</variable>
+ <variable>k_rel_G</variable>
+ <variable>k_rel_L</variable>
+ </variables>
+ </output>
+ </time_loop>
+ <parameters>
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>21.e6</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.3</value>
+ </parameter>
+ <parameter>
+ <name>T0</name>
+ <type>Constant</type>
+ <value>270</value>
+ </parameter>
+ <parameter>
+ <name>displacement0</name>
+ <type>Constant</type>
+ <values>0 0</values>
+ </parameter>
+ <parameter>
+ <name>pGR_ic</name>
+ <type>Constant</type>
+ <value>1000000</value>
+ </parameter>
+ <parameter>
+ <name>pCap_ic</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>T_ic</name>
+ <type>Constant</type>
+ <value>270</value>
+ </parameter>
+ <parameter>
+ <name>dirichlet0</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>displ_y</name>
+ <type>Constant</type>
+ <value>-0.1</value>
+ </parameter>
+ <parameter>
+ <name>T_bc</name>
+ <type>CurveScaled</type>
+ <curve>timeRamp</curve>
+ <parameter>T_ic</parameter>
+ </parameter>
+ <parameter>
+ <name>compression</name>
+ <type>CurveScaled</type>
+ <curve>timeRamp</curve>
+ <parameter>displ_y</parameter>
+ </parameter>
+ <parameter>
+ <name>pGR_bc</name>
+ <type>CurveScaled</type>
+ <curve>timeRamp</curve>
+ <parameter>pGR_ic</parameter>
+ </parameter>
+ </parameters>
+ <curves>
+ <curve>
+ <name>timeRamp</name>
+ <coords>0 10 1e99</coords>
+ <values>0 1 1</values>
+ </curve>
+ </curves>
+ <!-- ## Displacement equation ##############################################-->
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>2</components>
+ <order>1</order>
+ <initial_condition>displacement0</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>left</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>right</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>bottom</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>dirichlet0</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <mesh>top</mesh>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>compression</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ <!--- ## Gas pressure equation #############################################-->
+ <process_variable>
+ <name>gas_pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>pGR_ic</initial_condition>
+ <boundary_conditions>
+ <!-- <boundary_condition>
+ <mesh>bottom</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>pGR_ic</parameter>
+ </boundary_condition> -->
+ </boundary_conditions>
+ </process_variable>
+ <!--- ## Capillary pressure equation #######################################-->
+ <process_variable>
+ <name>capillary_pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>pCap_ic</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <mesh>domain</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>pCap_ic</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ <!-- ## Temperature equation ##############################################-->
+ <process_variable>
+ <name>temperature</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>T_ic</initial_condition>
+ <boundary_conditions>
+ <!-- <boundary_condition>
+ <mesh>domain</mesh>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>T_ic</parameter>
+ </boundary_condition> -->
+ </boundary_conditions>
+ </process_variable>
+ </process_variables>
+ <nonlinear_solvers>
+ <nonlinear_solver>
+ <name>basic_newton</name>
+ <type>Newton</type>
+ <max_iter>50</max_iter>
+ <linear_solver>general_linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>general_linear_solver</name>
+ <lis>-i bicgstab -p ilu -tol 1e-16 -maxiter 10000</lis>
+ <!-- <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>DIAGONAL</precon_type>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-25</error_tolerance>
+ </eigen>
+-->
+ <eigen>
+ <solver_type>SparseLU</solver_type>
+ <scaling>true</scaling>
+ <!--
+ <solver_type>PardisoLU</solver_type>
+ -->
+ </eigen>
+ <!--
+ <eigen>
+ <solver_type>BiCGSTAB</solver_type>
+ <precon_type>ILUT</precon_type>
+ <scaling>true</scaling>
+ <max_iteration_step>10000</max_iteration_step>
+ <error_tolerance>1e-26</error_tolerance>
+ </eigen>
+-->
+ <petsc>
+ <prefix>sd</prefix>
+ <parameters>-sd_ksp_type cg -sd_pc_type bjacobi -sd_ksp_rtol 1e-16 -sd_ksp_max_it 10000</parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+ <test_definition>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>displacement</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>gas_pressure_interpolated</field>
+ <absolute_tolerance>1e-06</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>capillary_pressure_interpolated</field>
+ <absolute_tolerance>1e-10</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>temperature_interpolated</field>
+ <absolute_tolerance>1e-09</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>vapour_pressure</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>xnCG</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>xmCG</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>xmWL</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>saturation</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>sigma</field>
+ <absolute_tolerance>1e-08</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>liquid_density</field>
+ <absolute_tolerance>1e-14</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ <vtkdiff>
+ <regex>result_compression_gas_ts_.*.vtu</regex>
+ <field>gas_density</field>
+ <absolute_tolerance>1e-12</absolute_tolerance>
+ <relative_tolerance>0</relative_tolerance>
+ </vtkdiff>
+ </test_definition>
+</OpenGeoSysProject>
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ipynb b/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..a8a0c37d16fe3395cd000d94de93d595265f3a39
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/confined_compression.ipynb
@@ -0,0 +1,440 @@
+{
+ "cells": [
+ {
+ "source": [
+ "# Confined compression of a cube\n",
+ "\n",
+ "Mass and energy balances below are taken from the paper in review: \"Non-isothermal two-phase flow in deformable porous media: Systematic open-source implementation and verification procedure\"\n",
+ "\n",
+ "Consider a gasous cube which is compressed by 10% from its top surface.\n",
+ "All boundaries are closed, therefore there are no fluxes nor flows of any phase, so $\\mathbf{A}=0$ and $\\mathbf{J}=0$. \n",
+ "Biot coefficient is $\\alpha_B=1$, thus $\\beta_{p,\\text{SR}}=0$, and $\\phi=\\phi_\\text{G}=1$.\n",
+ "With $s_\\text{G}=1$, $s_\\text{L}=0$ and $\\left(s_\\text{L}\\right)'_\\text{S}=0$, the mass balance equation (eq. 40 in the paper) simplifies to\n",
+ "$$\n",
+ "0=\\rho_\\text{GR}\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}+\\left(\\rho_\\text{GR}\\right)'_\\text{S}.\n",
+ "$$\n",
+ "With volume strain $e=\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}$ we write\n",
+ "$$\n",
+ "\\frac{1}{\\rho_\\text{GR}}\\left(\\rho_\\text{GR}\\right)'_\\text{S}=-e,\n",
+ "$$\n",
+ "which can be integrated\n",
+ "$$\n",
+ "\\int^{\\rho_\\text{GR}}_{\\rho_{\\text{GR},0}}\\frac{1}{\\rho_\\text{GR}}\\text{d}\\,\\rho_\\text{GR}=-e\n",
+ "$$\n",
+ "so that we find \n",
+ "$$\n",
+ "\\ln\\left(\\rho_\\text{GR}\\right) - \\ln\\left(\\rho_{\\text{GR},0}\\right) = -e\n",
+ "$$\n",
+ "or \n",
+ "$$\n",
+ "\\rho_\\text{GR}=\\rho_{\\text{GR},0}\\exp\\left(-e\\right).\n",
+ "$$\n",
+ "\n",
+ "The evolution of gas pressure can be found from energy balance equation (eq. 50 in the paper):\n",
+ "Starting from\n",
+ "$$\n",
+ "\\left(\\Sigma_\\alpha\\rho_\\alpha u_\\alpha\\right)'_\\text{S}\n",
+ "+\\left(\\Sigma_\\alpha\\rho_\\alpha h_\\alpha\\right)\\text{div}\\left(\\mathbf{u}_\\text{S}\\right)'_\\text{S}\n",
+ "=0,\n",
+ "$$\n",
+ "with $u_\\text{S}=h_\\text{S}$ and $u_\\text{G}=h_\\text{G}-\\frac{p_\\text{GR}}{\\rho_\\text{GR}}$ and with $h_\\alpha=c_{p,\\alpha}T$. Considering that $\\phi_\\alpha=\\text{const}$ and $c_{p,\\text{S}}=0$, we find\n",
+ "$$\n",
+ "\\left(\\rho_\\text{GR}\\right)'_\\text{S}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)\n",
+ "+\n",
+ "\\rho_\\text{GR}\\left(c_{p,\\text{G}}T-p_\\text{GR}\\rho_\\text{GR}^{-1}\\right)'_\\text{S}\n",
+ "+\n",
+ "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+ "$$\n",
+ "Assuming ideal gas behaviour, we can write $\\frac{p_\\text{GR}}{\\rho_\\text{GR}}=\\frac{M}{RT}$ and find\n",
+ "$$\n",
+ "\\left(\\rho_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
+ "+\n",
+ "\\rho_\\text{GR}\\left(c_{v,\\text{G}}T\\right)'_\\text{S}\n",
+ "+\n",
+ "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+ "$$\n",
+ "With $c_{v,\\text{G}}=\\text{const}$ it follows\n",
+ "$$\n",
+ "\\frac{\\rho_\\text{GR}}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}c_{v,\\text{G}}T\n",
+ "+\n",
+ "\\rho_\\text{GR}c_{p,\\text{G}}Te=0.\n",
+ "$$\n",
+ "Density and temperature cancel out so the final equation can be written as \n",
+ "$$\n",
+ "\\frac{1}{p_\\text{GR}}\\left(p_\\text{GR}\\right)'_\\text{S}\n",
+ "=-\\kappa e\n",
+ "$$\n",
+ "with the adiabatic index $\\kappa = \\frac{c_v}{c_p}$. The equation can be integrated to find the solution for the pressure evolution\n",
+ "$$\n",
+ "p_\\text{GR}=p_{\\text{GR},0}\\exp\\left(-\\kappa e\\right)\n",
+ "$$\n",
+ "\n",
+ "The temperature evolution follows _Poissons_ equations for isentropic processes\n",
+ "$$\n",
+ "T=T_0\\left(\\frac{p_\\text{GR}}{p_{\\text{GR},0}}\\right)^{\\frac{\\kappa-1}{\\kappa}}.\n",
+ "$$"
+ ],
+ "cell_type": "markdown",
+ "metadata": {}
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "\n",
+ "# time runs from 0 to 10 in 11 steps\n",
+ "t = np.linspace(0, 10, 11)\n",
+ "\n",
+ "# volume strain is a function of time\n",
+ "e = -t/100\n",
+ "\n",
+ "# initial state\n",
+ "p_0 = 1e6\n",
+ "T_0 = 270\n",
+ "R = 8.3144621\n",
+ "M = 0.01\n",
+ "c_p = 1000\n",
+ "\n",
+ "c_v = c_p-R/M\n",
+ "rho_0 = p_0*M/R/T_0\n",
+ "kappa=c_p/c_v\n",
+ "\n",
+ "# density, pressure and temperature fields\n",
+ "rho_GR = rho_0*np.exp(-e)\n",
+ "p_GR=p_0*np.exp(-kappa*e)\n",
+ "T = p_GR*M/R/rho_GR\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from ogs6py.ogs import OGS\n",
+ "import vtuIO"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "cube_compression=OGS(PROJECT_FILE=\"compression_gas.prj\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stdout",
+ "text": [
+ "OGS finished with project file compression_gas.prj.\nExecution took 0.46060657501220703 s\n"
+ ]
+ }
+ ],
+ "source": [
+ "PATH_OGS=\"/home/norbert/OGS/build_release/bin\"\n",
+ "cube_compression.run_model(path=PATH_OGS)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "name": "stdout",
+ "text": [
+ "result_compression_gas.pvd\n"
+ ]
+ }
+ ],
+ "source": [
+ "pvdfile = vtuIO.PVDIO(\"result_compression_gas.pvd\", dim=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "time = pvdfile.timesteps"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "point={'pt0': (0.0,1.0,0.0)}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# read pressure, temperature and density from pvd result file\n",
+ "pressure = pvdfile.read_time_series(\"gas_pressure_interpolated\", point)\n",
+ "temperature = pvdfile.read_time_series(\"temperature_interpolated\", point)\n",
+ "density = pvdfile.read_time_series(\"gas_density\", point)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
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+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "p_GR_num=pressure['pt0']\n",
+ "T_num=temperature['pt0']\n",
+ "rho_GR_num=density['pt0']\n",
+ "\n",
+ "plt.plot(time,rho_GR_num, 'k*', label='rho_GR, numerical')\n",
+ "plt.plot(t,rho_GR,'r-', label='rho_GR, analytical')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "err_rho_abs = rho_GR - rho_GR_num\n",
+ "err_rho_rel = err_rho_abs / rho_GR\n",
+ "plt.plot(t,err_rho_abs,'r-', label='rho_GR absolute error')\n",
+ "plt.plot(t,err_rho_rel,'b-', label='rho_GR relative error')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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hAgEBAezZs+eW52RXyl6EhoYSuTqSet/Wo/uC7jxf9nnWvLGGMveUsTraHcl2PnQRGQs0Ao4bY/412FhE+gJtM351AyoCRY0xp2+2X50PPW/nQ4+KiqJPnz5ERkbm2TGvsvrvqtRVXl5e6Z+oPYEWwMPAGvCI9CDpomMspXiz+dBzcoY+Hnghq43GmCHGmEBjTCDwAbAiu2Ke3zVq1ChPi/mXX35J8+bN+eKLL/LsmErZo9jYWBq83gDpJlAGCvxWgLZF23Iw9qDV0WwiJ0vQrQRyWqBbA5PvKJGFbjYf+tU7Qa9+LVq0yIKEt+f999/n0KFDWV4PUCq/WHpiKYsfXIxxNRT4pQCpUal4e3tTvHhxq6PZhM2GLYpIQdLP5HvepE1XoCtA6dKlM21jjMlyZIlVdD7022fVEodKXS/5SjLv/vEu32/4Ht9EXxpdbkTvWb0JDw8nPj7e6ng2Y8tx6I2B1TfrbjHGhAPhkN6HfuN2T09PTp06xb333mt3RV3dOmMMp06dunYnrVJWOHr+KK9Of5XVf63mncff4cu6X+Lu6g5gd9Nx3ClbFvRW3GF3S8mSJYmLi+PEiRM2iqSs5unpScmSJa2OofKpyEORvDrjVc5fPs+U5lNo6d/S6ki5yiYFXUR8gGCg3Z3sx93dnTJlHHvYkFLKesYYhq8fzruL36XM3WWIaB/Bo/c9anWsXJdtQReRyUAdwFdE4oCBgDuAMWZkRrOXgT+MMYm5lFMppXIkMTmRrvO78uv2X2lavikTXpqAj6eP1bHyRLYF3RjTOgdtxpM+vFEppSwTczqGZlObsfPETj5/9nPee+o9XCT/3D9pt5NzKaXUrZi3dx7tZ7fHzcWNhW0XUq9s9pPhOZv889allHJKV9Ku8PHSj2kypQkPF3mYTV035ctiDnqGrpRyYKcvnabtrLYsjFlIp8BOhDUMw9Mt/w6T1YKulHJIW+K30GxaM46eP8qoRqPoUq1Lvr9/RQu6UsrhTIieQMiCEHwL+hLZMZLHHnjM6kh2QQu6UsphJF9JpvfC3oyIGsGzZZ5lSvMpFC1U1OpYdkMLulLKIRw5d4QW01uwLm4d/Wr1Y/Bzg3Fz0RJ2Pf2voZSye8sPLqfljJZcTLnIjFdm0LxSc6sj2SUdtqiUslvGGL5Z8w11f67LPZ73sKHzBi3mN6Fn6Eopu3Qh+QJvzH2DaTun0bxic8Y2HYu3h7fVseyaFnSllN3Ze3IvzaY1Y8/JPXxV9yv61uqb74ck5oQWdKWUXZmzZw6vzX4NDzcP/mj3B8899JzVkRyG9qErpezClbQrfLjkQ16e+jIVfCuwqesmLea3SAu6Usoy8fHxBAcHs/PAThr80oAvVn1B12pdWdlxJaV9Ml+mUmVNu1yUUpYJDQ0lcn8kj497nJQCKfzU5Cc6Ve1kdSyHle0ZuoiMFZHjIrLjJm3qiEi0iOwUkRW2jaiUcjZeXl6ICCPWjcB0NFw4f4HLIy7To1YPq6M5tJx0uYwHXshqo4jcDfwINDHGPAq8YpNkSimntW3PNh5850FoChwCr4letH2mLQcOHLA6mkPLtqAbY1YCp2/SpA0wyxhzOKP9cRtlU0o5oc3xm3lx7oscLnwYWSZ4zPDg8pnLeHt7U7x4cavjOTRbXBR9BLhHRJaLyCYReS2rhiLSVUSiRCTqxIkTNji0UspRGGP4fv33PPHTE1xKucRT+5+i+6PdWb92PSEhISQkJFgd0eHZ4qKoG1AdeA7wAtaKyDpjzL4bGxpjwoFwgKCgIGODYyulHMCZS2foNLcTc/bModEjjRjXdBy+BX2vbQ8LC7MwnfOwRUGPA04ZYxKBRBFZCQQA/yroSqn8Z+1fa2k1sxXx5+P5T/3/0Pvx3nrXZy6xRZfLf4GnRMRNRAoCNYHdNtivUsqBpZk0vlr1FU+PexpXcWV1p9X0eaKPFvNclO0ZuohMBuoAviISBwwE3AGMMSONMbtFZCGwDUgDxhhjshziqJRyfscTj/Pa7NdYtH8Rrz76KuGNwvHx9LE6ltPLtqAbY1rnoM0QYIhNEimlHNrSA0tpO6stfyf9zciGI+lavauelecRvfVfKWUTqWmpDFg2gLo/1+Vuz7vZ0HkD3YK6aTHPQ3rrv1LqjsWdi6PNzDZEHo7k9cDX+aHBDxQqUMjqWPmOFnSl1B1ZsG8BHeZ0ICk1iYkvT6RdlXZWR8q3tMtFKXVbkq8k83+L/o9GkxtRyqcUm7tt1mJuMT1DV0rdstgzsbSa0YqNRzfSo0YPhtYfiqebp9Wx8j0t6EqpWzJ953Q6z+uMIMx8dSbNKjazOpLKoAVdKZUjl1Iu0WdRH0ZtGkXNB2oypcUU/O72szqWuo4WdKVUtvac3MOr019l+/Ht9KvVj0HPDsLd1d3qWOoGWtCVUjc1IXoCb/72JgXdC/Jbm99oUK6B1ZFUFrSgK6UydSH5Am8ueJOJ2yZSx68OvzT7hfsL3291LHUTWtCVUv8SnRBNyxktiTkdwyfBn9C/dn9cXVytjqWyoePQlcrn4uPjCQ4OJiEhAWMMP278kcfHPM6F5AssfW0pA+sM1GLuIPQMXal8LjQ0lFWrVvFR6EecDT7LzN0zafBwAya8NIGihYpaHU/dAi3oSuVTXl5eJCUlpf9SEsYWGAs7wG2FG/MHzMdF9AO8o9G/mFL5VGxsLK3atML9WXfoCILw/JHn+WvqX1rMHVS2fzURGSsix0Uk00UrRKSOiJwVkeiMrwG2j6mUsrWLHhdZ5reMlNopuOx1gVHwkMdDFC9e3Opo6jbl5G14PPBCNm0ijTGBGV+f3XkspVRuMcbw0+afCBwVyGnX09Q9W5fNH26me8fuJCQkWB1P3YGcrFi0UkT88iCLUiqXHU88Tpd5XZi7dy7P+D3DhJcmUMqnFABhYWEWp1N3ylYdZU+IyFYR+V1EHs2qkYh0FZEoEYk6ceKEjQ6tlMqJeXvnUXlEZRbFLOI/9f9DxGsR14q5cg62GOWyGXjQGHNBRF4E5gDlMmtojAkHwgGCgoKMDY6tlMrGheQLvLPoHUZvHk1AsQCWvLYE//v8rY6lcsEdn6EbY84ZYy5k/Pwb4C4ivnecTCl1x9b+tZbAkYGM2TyGfrX6sb7zei3mTuyOC7qIFJeMVWBF5LGMfZ660/0qpW5fypUUPl76MU+Ne4rUtFSWv76cr+p9hYebh9XRVC7KtstFRCYDdQBfEYkDBgLuAMaYkUALoLuIpAKXgFbGGO1OUcoie0/upd3sdkQdjaJDQAeGNxiOt4e31bFUHsjJKJfW2Wz/AfjBZomUUrfl6jwsfRf3paB7QWa8MoPmlZpbHUvlIb31XykncPT8UTr9txOL9i+iwcMN+KnJT5QoXMLqWCqPaUFXysHN2DWDbvO7cSnlEj+++CMhQSFkXNZS+YwWdKUc1Nmks7y98G1+3vozNe6vwcSXJ1Let7zVsZSFtKAr5YBWHFzBa3Ne48i5IwwMHshHT3+ka3wqLehKOZLLqZf5eNnHDF0zlLJFyrK602pqlqxpdSxlJ7SgK+Ugth/bTrvZ7dh2bBvdqnfjm/rfUKhAIatjKTuiBV0pO5dm0vh27bd8uPRD7vG8h/mt59PwkYZWx1J2SAu6Unbs8NnDdJjTgeUHl/NShZcIbxSuy8KpLGlBV8oOGWP4Zfsv9PitB2kmjbFNxvJ64Os6HFHdlK4zpZSdiI+PJzg4mN0Hd9NyRkvaz25P5fsqszVkKx2rdtRirrKlZ+hK2YnQ0FAij0ZSY2wNkt2T+eK5L+hbqy+uLq5WR1MOQqyaRysoKMhERUVZcmyl7ImXlxdJaUlQF3gMOAHMBM+/Pbl06ZLF6ZS9EZFNxpigzLZpl4tSFhu/cjyF+haCGsA68JroRdvn2nLgwAGroykHo10uSlnkbNJZ3v3jXcZsGYOP+CDjBY9jHlxOvoy3tzfFixe3OqJyMFrQlbLAgn0L6Da/G/EX4ulXqx97Ru6hZMOSdO3alfDwcOLj462OqByQFnSl8tDpS6fptbAXk7ZN4tGijzK75WxqPFAD6v2vTVhYmHUBlUPLtg9dRMaKyHER2ZFNuxoikioiLWwXTynnMWv3LCqFVWLKjikMqD2ATV03pRdzpWwkJ2fo40lfkejnrBqIiCvwFfCHbWIp5TyOJx6n5289mb5rOlWLV2VRu0UEFA+wOpZyQjlZgm6liPhl0+wtYCbp1+mVUqTf7Tl5x2Te/v1tziefZ/Czg+lbq69Oc6tyzR33oYvIA8DLwDNkU9BFpCvQFaB06dJ3emil7NbR80cJmR/CvH3zqPlATcY2HUulopWsjqWcnC3GoQ8D3jPGpGXX0BgTbowJMsYEFS2qEwwp52OMYdyWcVQKq8Ti2MV8U/8bVndarcVc5QlbjHIJAqZkzDPhC7woIqnGmDk22LdSDuPQ34foOr8rf+z/g9oP1mZM4zGUu7ec1bFUPnLHBd0YU+bqzyIyHpivxVzlJ2kmjVFRo+gX0Q9jDD80+IHuNbrjInojtspb2RZ0EZkM1AF8RSQOGAi4AxhjRuZqOqXsXMzpGDrP7cyKQyuo+1BdRjcejd/dflbHUvlUTka5tM7pzowxr99RGqUcxJW0KwxfP5yPlqYvzjym8Rg6Ve2kU9wqS+mdokrdoj0n99Dpv51YG7eWhuUaMqrRKB7wfsDqWEppQVcqp1LTUhm6ZiifLP+EQgUKMenlSbSp3EbPypXd0IKuVA5sO7aNTv/txKb4TTSv2JywF8Modlcxq2Mp9Q9a0JW6ieQryXwe+TmDIwdzj+c9TH9lOi0q6XRFyj7puCqlbnB1bc9F2xcRFB7Epys+peWjLdnVY5cWc2XX9AxdqRsMDB3IygIriZwZSQnvEsxtNZfG5RtbHUupbGlBVyqDl5cXScWSoDHwFJjNhqN/HOXVj17VtT2VQ9AuF6WAkxdP0mRsE+gI4iYwEQpGFKRtc13bUzkOLegqX0szaYzdMpbyP5RnVswsql6oCj+C5xFPkpKSdG1P5VC0oKt8a+fxnQSPD+aNuW9QqWglortF47ffj+6du7Nu3TpCQkJISEiwOqZSOSbGGEsOHBQUZKKioiw5tsrfLqZcJHRFKEPXDsXbw5sh9YbweuDrOpmWcggisskYE5TZNr0oqvKV3/78jR6/9eDg3wd5PfB1htQbgm9BX6tjKWUTWtBVvnDk3BF6LezFzN0zqehbkeUdlhPsF2x1LKVsSgu6cmqpaamEbQij/7L+pKalMvjZwbxb610KuBawOppSNqcFXTmtjUc2ErIghM3xm3m+7POEvRhG2SJlrY6lVK7J9iqQiIwVkeMisiOL7U1FZJuIRItIlIg8ZfuYSuXc2aSzvPXbW9QcU5P48/FMbTGV39v+rsVcOb2cnKGPB34Afs5i+xJgrjHGiEgVYBpQwTbxlMo5YwzTdk6j96LeHLtwjJ6P9ST0mVB8PH2sjqZUnsjJikUrRcTvJtsvXPdrIcCacZAqX9t/ej89fuvBov2LqFaiGvNazyPo/kxHdinltGzShy4iLwNfAPcBDW/SrivQFaB06dK2OLTK5y6nXmbomqEMihyEu4s7373wHT1q9MDVxdXqaErlOZsUdGPMbGC2iNQGQoG6WbQLB8Ih/cYiWxxb5V8rDq4gZEEIe07u4ZVKr/Dt89/qUnAqX7PpKJeM7pmHRMTXGHPSlvtW6qoTiSfou7gvE7ZOwO9uPxa0WcCL5V60OpZSlrvjgi4iDwP7My6KVgM8gFN3nEypG6SZNMZtGUe/iH6cu3yOD576gP61+1PQvaDV0ZSyC9kWdBGZDNQBfEUkDhgIuAMYY0YCzYHXRCQFuAS0NFZNEKOc1s7jOwlZEMKqw6t4uvTTjGg4gkfve9TqWErZlZyMcmmdzfavgK9slkgp0peBa9WqFeMmjWP03tEMXTsUHw8fxjYZS4fADjqRllKZ0DtFlV0KDQ0l8lgkgaMDOe96no6BHfm63tc6kZZSN6EFXdkVLy8vkrySoD7QGs6fOA/zYfKxyYy9NNbqeErZNf3cquxGYnIi3aZ2w+UtFygLRIDXBC/aPqXLwCmVE3qGrixnjGHKjin0XdyXI+ePUO5yOWJGxuBx2YPLyZd1GTilckjP0JWltsRvofb42rSZ1YbidxVndafV+O/zp3tbXQZOqVulS9ApS5xIPEH/pf0ZvXk0vgV9+fy5z+kY2FFv2VcqG7oEnbIbKVdSGBE1goHLB3Ih+QK9avZiYJ2B3O15t9XRlHJ4WtBVnomIjaDXwl7sOrGL+mXrM+z5YVQsWtHqWEo5DS3oKtfFnonl//74P+bsmcND9zzEnJZzaFK+CSJidTSlnIoWdJVrEpMT+WLVFwxdMxQ3Fzc+f/Zz+jzRB083T6ujKeWUtKArm7s6DLFfRD/izsXRtnJbvqr7lU5tq1Qu04KubGpL/BbeXvg2qw6volqJakxpPoUnSz9pdSyl8gUt6MombhyGOLrxaB2GqFQe04Ku7ogOQ1TKfmhBV7dNhyEqZV+yvfVfRMaKyHER2ZHF9rYisk1EtovIGhEJsH1MZU8OnDlAs6nNqDexHkmpScxpOYeFbRdqMVfKYjmZy2U88MJNth8Ago0xlUlfIDrcBrmUnYiPjyc4OJiEhAQSkxP5eOnHVAyryKL9i/j82c/Z+eZOmlZoqmPKlbIDOVmxaKWI+N1k+5rrfl0HlLRBLmUnQkNDiVwVSfuv27On1B4dhqiUHbN1H/obwO9ZbRSRrkBXgNKlS9v40MqWvLy8SEpKguJAB4jwiYA9UGBJASbFTLI6nlIqEzabPldEniG9oL+XVRtjTLgxJsgYE1S0aFFbHVrlgshtkZTpUwa6Ab5QYGEBWie25tCqQ1ZHU0plwSZn6CJSBRgDNDDGnLLFPpU1ziad5ctVXzJs/TBSvFNgLXis9yDlfAp3V71bF5pQyo7dcUEXkdLALKC9MWbfnUdSVki+ksyoqFF8tvIzTl48Sbsq7Tgx5QRlHy5L16+7Eh4eTnx8vNUxlVI3ke0CFyIyGagD+ALHgIGAO4AxZqSIjAGaA1c/i6dmNfn69XSBC/tgjGHm7pl8sOQDYk7H8GyZZxlSbwjVSlSzOppSKhN3tMCFMaZ1Nts7A51vM5uy0OrDq+m7uC9r49bif58/v7X5jRcefkGHICrloPRO0Xxo36l9vB/xPrP3zKbEXSUY03gMrwe+rvOuKOXgtKDnI8cTj/PZis8YtWkUnm6ehD4TSp/H+1CoQCGroymlbEALej5wMeUi3679lq9Wf8XFlIt0q96NAcEDKHZXMaujKaVsSAu6E7uSdoUJWyfw8bKPOXr+KC9VeIkvn/uS8r7lrY6mlMoFWtCdkDGGRfsX0W9xP7Yf307NB2oypfkUnn7waaujKaVykRZ0JxOdEE3fxX2JiI2g7D1lmdZiGi0qtdCRK0rlA1rQncThs4fpv7Q/k7ZNoohXEb574TtCgkIo4FrA6mhKqTyiBd3BnU06yxervmDYumEA9HuyH+8/9b6uGKRUPqQF3UElX0lmxMYRhK4M5fSl07QPaE/oM6GU9tFZLJXKr2w226LKPdcvMmGMYfrO6VQKq0TvRb2pWqIqm7puYsJLE7SYK5XP6Rm6AwgNDWXVqlV0/6I78ZXjWX9kPZXvq8zCtgupX7a+XvBUSgFa0O3atUUmfIFXYE6RObAb3CLd2LJui96qr5T6B+1ysWPLopelLzLxJvAQuK90p+Xxlvw19y8t5kqpf9GCbofizsURMj+Ep6c9zV/ef8E68BjpwZXlVyhSuIguMqGUypR2udiRYxeO8eWqLxkRNYI0k0a36t2IHR9LmYfL6CITSqlsZVvQRWQs0Ag4bozxz2R7BWAcUA34yBgz1OYpndyZS2cYsmYI363/jsupl+kQ0IEBwQN48O4H4cX/tQsLC7MupFLK7uXkDH088APwcxbbTwNvAy/ZJlL+cf7yeYatG8Y3a7/h3OVztPJvxSd1PuGRex+xOppSygHlZMWilSLid5Ptx4HjItLQlsGc2aWUS/y48Ue+XP0lJy+epGn5poQ+E0rlYpWtjqaUcmDah56Hkq8kM2bzGAatHET8hXjql63PoGcGUeOBGlZHU0o5gTwt6CLSFegKULp0/rmrMTUtlYlbJ/Lpik85dPYQT5V+iiktplD7wdpWR1NKOZE8LejGmHAgHCAoKMjk5bGtkGbSmLZzGgOXD2TfqX0E3R/EqEaj9O5OpVSu0C6XXGCMYe7euXy87GO2H9+O/33+zG45m6blm2ohV0rlmpwMW5wM1AF8RSQOGAi4AxhjRopIcSAK8AbSRKQ3UMkYcy63QtsrYwwRsRH0X9afDUc2UK5IOX5t9ist/VviInoPl1Iqd+VklEvrbLYnACVtlshBrTq8io+WfsTKQysp7VOan5r8xGsBr+Hmoh+ClFJ5Q6vNHYo6GkX/pf1ZtH8Rxe8qzvcNvqdLtS54uHlYHU0plc9oQb8F8fHxtGrViqlTp3LS5SQDlg1g9p7ZFPEqwtd1v6bHYz0o6F7Q6phKqXxKC/otCA0NJXJXJLWH1SbGK4bCHoX5tM6n9H68N94e3lbHU0rlc1rQc8DLy4skryR4GngT/rzyJ6yCy1GXGXBmgNXxlFIK0Olzs7Xn5B4a/dQIeVugCrABvMK9aFusLQd3H7Q6nlJKXaNn6FnYfmw7gyMHM23nNLzcvah8sTLbR23HI9mDy8mX8fb21nnJlVJ2Rc/Qb7A5fjPNpjajysgqLPhzAe89+R4Hex2kbExZurfrzrp16wgJCSEhIcHqqEop9Q9ijDV34AcFBZmoqChLjp2ZdXHrGLRyEAv+XICPhw+9avai1+O9KOJVxOpoSil1jYhsMsYEZbYt33e5rDy0ktCVoUTERlDEqwiDnhlEz8d64uPpY3U0pZS6JfmyoBtjWHpgKaErQ1lxaAX3FbqPr+t+Tfca3bmrwF1Wx1NKqduSrwq6MYbfY35n0MpBrI1by/2F72fY88PoUr2L3hCklHJ4+aKgp5k05u6dy6CVg9gUv4nSPqX58cUf6Vi1I55unlbHU0opm3Dqgn4l7Qozd89kcORgth3bxkP3PMSYxmNoH9CeAq4FrI6nlFI25ZQFPTUtlSk7pjA4cjB7Tu6h/L3l+fmln2ldubXOfqiUclpOVd1SrqQwcdtEvlj1BTGnY/C/z58pzafQolILXF1crY6nlFK5yikK+uXUy4yLHseXq77k0NlDVC1elVmvzqJphaa6sIRSKt/IttqJyFgROS4iO7LYLiIyXERiRGSbiFSzfcz/iY+PJzg4mISEBC6lXGL4+uGUHV6W7gu6U/yu4sxvPZ9NXTfxcsWXtZgrpfKVnJyhjwd+AH7OYnsDoFzGV01gRMb3XBEaGkrk+kiaDW1GbPFYjiUe4+nSTzOu6TjqPlRX1+xUSuVbOVmCbqWI+N2kSVPgZ5M+h8A6EblbREoYY+JtFRIyprBNSkp/2+gFawuuhe1QYG0BVu5bactDKaWUQ7JFn8QDwF/X/R6X8di/iEhXEYkSkagTJ07c0kFiY2Np06YNnhc9IQ48JnnQ9kpbDq08dPvJlVLKieRpJ7MxJtwYE2SMCSpatOgtPbdEiRJ4e3uTHJ+M5yxPUmJTdApbpZS6ji0K+hGg1HW/l8x4zOaOHTtGSEiITmGrlFKZsMWwxblATxGZQvrF0LO27j+/atasWdd+DgsLy41DKKWUw8q2oIvIZKAO4CsiccBAwB3AGDMS+A14EYgBLgIdcyusUkqprOVklEvrbLYboIfNEimllLoteueNUko5CS3oSinlJLSgK6WUk9CCrpRSTkLSr2lacGCRE8Dt3ubpC5y0YRxHoK85f9DXnD/cyWt+0BiT6Z2ZlhX0OyEiUcaYIKtz5CV9zfmDvub8Ibdes3a5KKWUk9CCrpRSTsJRC3q41QEsoK85f9DXnD/kymt2yD50pZRS/+aoZ+hKKaVuoAVdKaWchMMVdBF5QUT2ZixK/b7VeXKbiJQSkWUisktEdopIL6sz5QURcRWRLSIy3+oseSVj+cYZIrJHRHaLyBNWZ8pNItIn49/0DhGZLCKeVmfKDSIyVkSOi8iO6x4rIiKLReTPjO/32OJYDlXQRcQVCCN9YepKQGsRqWRtqlyXCvyfMaYS8DjQIx+8ZoBewG6rQ+Sx74CFxpgKQABO/PpF5AHgbSDIGOMPuAKtrE2Va8YDL9zw2PvAEmNMOWBJxu93zKEKOvAYEGOMiTXGJANTSF+k2mkZY+KNMZszfj5P+v/kma7Z6ixEpCTQEBhjdZa8IiI+QG3gJwBjTLIx5m9LQ+U+N8BLRNyAgsBRi/PkCmPMSuD0DQ83BSZk/DwBeMkWx3K0gp7jBamdkYj4AVWB9RZHyW3DgH5AmsU58lIZ4AQwLqOraYyIFLI6VG4xxhwBhgKHgXjSVzr7w9pUearYdSu7JQDFbLFTRyvo+ZaI3AXMBHobY85ZnSe3iEgj4LgxZpPVWfKYG1ANGGGMqQokYqOP4fYoo8+4KelvZPcDhUSknbWprJGxSJBNxo87WkHPswWp7YmIuJNezH8xxszKrr2DexJoIiIHSe9Se1ZEJlkbKU/EAXHGmKufvmaQXuCdVV3ggDHmhDEmBZgF1LI4U146JiIlADK+H7fFTh2toG8EyolIGREpQPpFlLkWZ8pVIiKk96vuNsb8x+o8uc0Y84ExpqQxxo/0v+9SY4zTn7kZYxKAv0SkfMZDzwG7LIyU2w4Dj4tIwYx/48/hxBeBMzEX6JDxcwfgv7bYabZritoTY0yqiPQEFpF+VXysMWanxbFy25NAe2C7iERnPPahMeY36yKpXPIW8EvGyUosTrzgujFmvYjMADaTPpJrC046BYCITAbqAL4iEgcMBL4EponIG6RPI/6qTY6lt/4rpZRzcLQuF6WUUlnQgq6UUk5CC7pSSjkJLehKKeUktKArpZST0IKulFJOQgu6Uko5if8H3L1B5fGh72QAAAAASUVORK5CYII=\n"
+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "\n",
+ "plt.plot(time,p_GR_num, 'k*', label='p_GR, numerical')\n",
+ "plt.plot(t,p_GR,'g-', label='p_GR, analytical')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "err_p_abs = p_GR - p_GR_num\n",
+ "plt.plot(t,err_p_abs,'r-', label='p_GR absolute error')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "err_p_rel = err_p_abs / p_GR\n",
+ "plt.plot(t,err_p_rel,'b-', label='p_GR relative error')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "\n",
+ "plt.plot(time,T_num, 'k*', label='T, numerical')\n",
+ "plt.plot(t,T,'b-', label='T, analytical')\n",
+ "\n",
+ "plt.legend()\n",
+ "plt.show()\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "err_T_abs = T - T_num\n",
+ "plt.plot(t,err_T_abs,'r-', label='T absolute error')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
+ },
+ "metadata": {
+ "needs_background": "light"
+ }
+ }
+ ],
+ "source": [
+ "err_T_rel = err_T_abs / T\n",
+ "\n",
+ "plt.plot(t,err_T_rel,'b-', label='T relative error')\n",
+ "plt.legend()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "name": "python3",
+ "display_name": "Python 3",
+ "language": "python"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
\ No newline at end of file
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/domain.vtu b/Tests/Data/TH2M/TH/idealGasLaw/domain.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..da05fdde1242c08316537a288743f1fcd58b6acf
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/domain.vtu
@@ -0,0 +1,24 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="4" NumberOfCells="1" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="3" offset="0" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="0" offset="56" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="1.4142135624" offset="80" />
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+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="220" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="276" />
+ <DataArray type="UInt8" Name="types" format="appended" RangeMin="" RangeMax="" offset="300" />
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+ <AppendedData encoding="base64">
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/left.vtu b/Tests/Data/TH2M/TH/idealGasLaw/left.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..cef877b2013c1fe7882315d6067a15cc6e528efd
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/left.vtu
@@ -0,0 +1,27 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="1.0" byte_order="LittleEndian" header_type="UInt64">
+ <UnstructuredGrid>
+ <Piece NumberOfPoints="2" NumberOfCells="1" >
+ <PointData>
+ <DataArray type="UInt64" Name="bulk_node_ids" format="appended" RangeMin="0" RangeMax="2" offset="0" />
+ <DataArray type="Int64" Name="vtkOriginalPointIds" format="appended" RangeMin="0" RangeMax="2" offset="32" />
+ </PointData>
+ <CellData>
+ <DataArray type="UInt64" Name="bulk_element_ids" format="appended" RangeMin="0" RangeMax="0" offset="64" />
+ <DataArray type="UInt64" Name="bulk_face_ids" format="appended" RangeMin="3" RangeMax="3" offset="88" />
+ <DataArray type="Int64" Name="vtkOriginalCellIds" format="appended" RangeMin="3" RangeMax="3" offset="112" />
+ </CellData>
+ <Points>
+ <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0" RangeMax="1" offset="136" />
+ </Points>
+ <Cells>
+ <DataArray type="Int64" Name="connectivity" format="appended" RangeMin="" RangeMax="" offset="212" />
+ <DataArray type="Int64" Name="offsets" format="appended" RangeMin="" RangeMax="" offset="244" />
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+ <AppendedData encoding="base64">
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas.pvd b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas.pvd
new file mode 100644
index 0000000000000000000000000000000000000000..7ffd4356a035494e1fcce958ff2b27adedd54180
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas.pvd
@@ -0,0 +1,16 @@
+<?xml version="1.0"?>
+<VTKFile type="Collection" version="0.1" byte_order="LittleEndian" compressor="vtkZLibDataCompressor">
+ <Collection>
+ <DataSet timestep="0" group="" part="0" file="result_compression_gas_ts_0_t_0.000000.vtu"/>
+ <DataSet timestep="1" group="" part="0" file="result_compression_gas_ts_10_t_1.000000.vtu"/>
+ <DataSet timestep="2" group="" part="0" file="result_compression_gas_ts_20_t_2.000000.vtu"/>
+ <DataSet timestep="3" group="" part="0" file="result_compression_gas_ts_30_t_3.000000.vtu"/>
+ <DataSet timestep="4" group="" part="0" file="result_compression_gas_ts_40_t_4.000000.vtu"/>
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+ <DataSet timestep="8.99999999999998" group="" part="0" file="result_compression_gas_ts_90_t_9.000000.vtu"/>
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+</VTKFile>
diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_0_t_0.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_0_t_0.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..f042494efc609190e6fb8878f1d78d6c09695b06
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_0_t_0.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_100_t_10.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_100_t_10.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..44245beb5788b4023e7cc91e6d6293728c02e29e
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_100_t_10.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_10_t_1.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_10_t_1.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..e2c16bc6f8d01cdd86723ab71c628f03ba767452
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_10_t_1.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_20_t_2.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_20_t_2.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..d41d9b7dafbd969f7caced282c674f5838f5d2a6
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_20_t_2.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_30_t_3.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_30_t_3.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..b558f1ed8647f582532eb51152e3783426c6ad16
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_30_t_3.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_40_t_4.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_40_t_4.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..31a4cbd5edca05b21e4ca80ab376a84e18664225
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_40_t_4.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_50_t_5.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_50_t_5.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..db6cf5360e0960783e1dc2846a2d57c3f0f66d77
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_50_t_5.000000.vtu
@@ -0,0 +1,57 @@
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_60_t_6.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_60_t_6.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..035647e218d558b51297f0ac2ff3a98887443b76
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_60_t_6.000000.vtu
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_70_t_7.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_70_t_7.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..6850a5aa1585af95f343744baa09c0232fb73710
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_70_t_7.000000.vtu
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_80_t_8.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_80_t_8.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..04b4278bfc7396d8428d9fd2e9d8d4af096d0216
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_80_t_8.000000.vtu
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diff --git a/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_90_t_9.000000.vtu b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_90_t_9.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..6de8c3a32e68d1bb8eff6c22a565c7eb6db116c5
--- /dev/null
+++ b/Tests/Data/TH2M/TH/idealGasLaw/result_compression_gas_ts_90_t_9.000000.vtu
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