[Test] Moved <compensate_non_equilibrium_initial_residuum> from

<time_loop> to <process_variables><process_variable>

Tests/Data/Mechanics/InitialStates/non_equilibrium_initial_state.prj

@@ -33,7 +33,6 @@
         <processes>
             <process ref="SD">
                 <nonlinear_solver>basic_newton</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>DeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -142,6 +141,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <!-- fixed boundaries -->

Tests/Data/Mechanics/InitialStates/soil_column_nonequilibrium_sigma_elementwise.prj

@@ -33,7 +33,6 @@
         <processes>
             <process ref="SD">
                 <nonlinear_solver>basic_newton</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>DeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -145,6 +144,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <!-- fixed boundaries -->

Tests/Data/RichardsMechanics/bishops_effective_stress_power_law.prj

@@ -116,7 +116,6 @@
         <processes>
             <process ref="RM">
                 <nonlinear_solver>nonlinear_solver</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -239,6 +238,8 @@
             <name>displacement</name>
             <components>3</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -275,6 +276,8 @@
             <name>pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>p0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>

Tests/Data/RichardsMechanics/bishops_effective_stress_saturation_cutoff.prj

@@ -116,7 +116,6 @@
         <processes>
             <process ref="RM">
                 <nonlinear_solver>nonlinear_solver</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -239,6 +238,8 @@
             <name>displacement</name>
             <components>3</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -275,6 +276,8 @@
             <name>pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>p0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>

Tests/Data/RichardsMechanics/orthotropic_power_law_permeability_xyz.prj

@@ -122,7 +122,6 @@
         <processes>
             <process ref="RM">
                 <nonlinear_solver>nonlinear_solver</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -257,6 +256,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -293,6 +294,8 @@
             <name>pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>p0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>

Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj

@@ -125,7 +125,6 @@
         <processes>
             <process ref="RM">
                 <nonlinear_solver>nonlinear_solver</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -243,6 +242,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -264,6 +265,8 @@
         <process_variable>
             <name>pressure</name>
             <components>1</components>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <order>1</order>
             <initial_condition>p0</initial_condition>
             <boundary_conditions>
@@ -357,7 +360,7 @@
         <vtkdiff>
             <regex>orthotropic_swelling_xy_ts_.*.vtu</regex>
             <field>porosity</field>
-            <absolute_tolerance>1e-15</absolute_tolerance>
+            <absolute_tolerance>1e-14</absolute_tolerance>
             <relative_tolerance>1e-15</relative_tolerance>
         </vtkdiff>
         <vtkdiff>

Tests/Data/RichardsMechanics/orthotropic_swelling_xyz.prj

@@ -128,7 +128,6 @@
         <processes>
             <process ref="RM">
                 <nonlinear_solver>nonlinear_solver</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -252,6 +251,8 @@
             <name>displacement</name>
             <components>3</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -288,6 +289,8 @@
             <name>pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>p0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>

Tests/Data/TH2M/StrainDependentPermeability/Strain_Dependent_Permeability_Test.prj

@@ -205,7 +205,6 @@
         <processes>
             <process ref="TH2M">
                 <nonlinear_solver>basic_newton</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>PerComponentDeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -394,6 +393,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -427,6 +428,8 @@
             <name>gas_pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>pGR_ic</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -448,6 +451,8 @@
             <name>capillary_pressure</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>pCap_ic</initial_condition>
             <boundary_conditions>
                 <boundary_condition>
@@ -463,6 +468,8 @@
             <name>temperature</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>T_ic</initial_condition>
             <boundary_conditions>
                 <boundary_condition>

Tests/Data/ThermoMechanics/InitialStates/non_equilibrium_initial_state.prj

@@ -33,7 +33,6 @@
         <processes>
             <process ref="TM">
                 <nonlinear_solver>basic_newton</nonlinear_solver>
-                <compensate_non_equilibrium_initial_residuum>true</compensate_non_equilibrium_initial_residuum>
                 <convergence_criterion>
                     <type>DeltaX</type>
                     <norm_type>NORM2</norm_type>
@@ -174,6 +173,8 @@
             <name>displacement</name>
             <components>2</components>
             <order>2</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>displacement0</initial_condition>
             <boundary_conditions>
                 <!-- fixed boundaries -->
@@ -207,6 +208,8 @@
             <name>temperature</name>
             <components>1</components>
             <order>1</order>
+            <compensate_non_equilibrium_initial_residuum>
+                true</compensate_non_equilibrium_initial_residuum>
             <initial_condition>temperature_ic</initial_condition>
             <boundary_conditions>
                 <boundary_condition>