diff --git a/ProcessLib/RichardsMechanics/RichardsMechanicsFEM-impl.h b/ProcessLib/RichardsMechanics/RichardsMechanicsFEM-impl.h
index c83d8d8f607895b6d5bd524253f1451497f8bf09..2949be6d2f3efe3e4edbe5dd0846ae90d54343ae 100644
--- a/ProcessLib/RichardsMechanics/RichardsMechanicsFEM-impl.h
+++ b/ProcessLib/RichardsMechanics/RichardsMechanicsFEM-impl.h
@@ -526,9 +526,11 @@ void RichardsMechanicsLocalAssembler<ShapeFunctionDisplacement,
ShapeMatricesTypePressure::NodalMatrixType::Zero(pressure_size,
pressure_size);
- typename ShapeMatricesTypePressure::NodalMatrixType storage_p =
+ typename ShapeMatricesTypePressure::NodalMatrixType storage_p_a_p =
ShapeMatricesTypePressure::NodalMatrixType::Zero(pressure_size,
pressure_size);
+ typename ShapeMatricesTypePressure::NodalVectorType storage_p_a_S =
+ ShapeMatricesTypePressure::NodalVectorType::Zero(pressure_size);
typename ShapeMatricesTypeDisplacement::template MatrixType<
displacement_size, pressure_size>
@@ -623,12 +625,6 @@ void RichardsMechanicsLocalAssembler<ShapeFunctionDisplacement,
MPL::Variable::capillary_pressure,
x_position, t, dt);
- double const d2S_L_dp_cap_2 =
- medium->property(MPL::PropertyType::saturation)
- .template d2Value<double>(
- variables, MPL::Variable::capillary_pressure,
- MPL::Variable::capillary_pressure, x_position, t, dt);
-
auto const chi = [medium, x_position, t, dt](double const S_L) {
MPL::VariableArray variables;
variables[static_cast<int>(MPL::Variable::liquid_saturation)] = S_L;
@@ -796,23 +792,33 @@ void RichardsMechanicsLocalAssembler<ShapeFunctionDisplacement,
dNdx_p.transpose() * k_rel * rho_Ki_over_mu * dNdx_p * w;
double const a0 = (alpha - porosity) / K_SR;
- double const specific_storage =
- dS_L_dp_cap * (p_cap_ip * S_L * a0 - porosity) +
- S_L * (porosity / K_LR + S_L * a0);
+ double const specific_storage_a_p = S_L * (porosity / K_LR + S_L * a0);
+ double const specific_storage_a_S = porosity - p_cap_ip * S_L * a0;
+
+ double const dspecific_storage_a_p_dp_cap =
+ dS_L_dp_cap * (porosity / K_LR + 2 * S_L * a0);
+ double const dspecific_storage_a_S_dp_cap =
+ -a0 * (S_L + p_cap_ip * dS_L_dp_cap);
- double const dspecific_storage_dp_cap =
- d2S_L_dp_cap_2 * (p_cap_ip * S_L * a0 - porosity) +
- dS_L_dp_cap *
- (porosity / K_LR + a0 * 3 * S_L + dS_L_dp_cap * p_cap_ip * a0);
+ storage_p_a_p.noalias() +=
+ N_p.transpose() * rho_LR * specific_storage_a_p * N_p * w;
+ storage_p_a_S.noalias() += N_p.transpose() * rho_LR *
+ specific_storage_a_S * (S_L - S_L_prev) /
+ dt * w;
- storage_p.noalias() +=
- N_p.transpose() * rho_LR * specific_storage * N_p * w;
+ local_Jac
+ .template block<pressure_size, pressure_size>(pressure_index,
+ pressure_index)
+ .noalias() += N_p.transpose() * p_cap_dot_ip * rho_LR *
+ dspecific_storage_a_p_dp_cap * N_p * w;
local_Jac
.template block<pressure_size, pressure_size>(pressure_index,
pressure_index)
- .noalias() += N_p.transpose() * rho_LR * p_cap_dot_ip *
- dspecific_storage_dp_cap * N_p * w;
+ .noalias() -= N_p.transpose() * rho_LR *
+ ((S_L - S_L_prev) * dspecific_storage_a_S_dp_cap +
+ specific_storage_a_S * dS_L_dp_cap) /
+ dt * N_p * w;
local_Jac
.template block<pressure_size, pressure_size>(pressure_index,
@@ -845,14 +851,14 @@ void RichardsMechanicsLocalAssembler<ShapeFunctionDisplacement,
if (_process_data.apply_mass_lumping)
{
- storage_p = storage_p.colwise().sum().eval().asDiagonal();
+ storage_p_a_p = storage_p_a_p.colwise().sum().eval().asDiagonal();
}
// pressure equation, pressure part.
local_Jac
.template block<pressure_size, pressure_size>(pressure_index,
pressure_index)
- .noalias() += laplace_p + storage_p / dt;
+ .noalias() += laplace_p + storage_p_a_p / dt;
// pressure equation, displacement part.
local_Jac
@@ -862,7 +868,7 @@ void RichardsMechanicsLocalAssembler<ShapeFunctionDisplacement,
// pressure equation
local_rhs.template segment<pressure_size>(pressure_index).noalias() -=
- laplace_p * p_L + storage_p * p_L_dot + Kpu * u_dot;
+ laplace_p * p_L + storage_p_a_p * p_L_dot + storage_p_a_S + Kpu * u_dot;
// displacement equation
local_rhs.template segment<displacement_size>(displacement_index)
diff --git a/ProcessLib/RichardsMechanics/Tests.cmake b/ProcessLib/RichardsMechanics/Tests.cmake
index 053fb4468b31e9f4b37ca217ae3461886f8417e1..bec99d9611cf8dd35dd34ef20d262e68435ad7b3 100644
--- a/ProcessLib/RichardsMechanics/Tests.cmake
+++ b/ProcessLib/RichardsMechanics/Tests.cmake
@@ -354,3 +354,22 @@ AddTest(
GLOB bishops_effective_stress_saturation_cutoff_pcs_0_ts_*.vtu porosity porosity 5e-15 1e-15
GLOB bishops_effective_stress_saturation_cutoff_pcs_0_ts_*.vtu porosity_avg porosity_avg 5e-15 1e-15
)
+AddTest(
+ NAME RichardsMechanics_alternative_mass_balance_anzInterval_10
+ PATH RichardsMechanics
+ EXECUTABLE ogs
+ EXECUTABLE_ARGS alternative_mass_balance_anzInterval_10.prj
+ WRAPPER time
+ TESTER vtkdiff
+ REQUIREMENTS NOT OGS_USE_MPI
+ DIFF_DATA
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu HydraulicFlow HydraulicFlow 1e-14 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu NodalForces NodalForces 5e-2 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu displacement displacement 1e-15 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu epsilon epsilon 1e-15 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu pressure pressure 1e-15 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu pressure_interpolated pressure_interpolated 1e-10 1e-15
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu saturation saturation 1e-14 1e-15
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu sigma sigma 1e-15 0
+ GLOB alternative_mass_balance_anzInterval_10_pcs_0_ts_*.vtu velocity velocity 1e-15 0
+)
diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_0_t_0.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_0_t_0.000000.vtu
index 3ee69041eefef6249020d18e8802842bae3d6bd7..bf004503f50c1c0b822d3711585280b3a062256f 100644
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+++ b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_0_t_0.000000.vtu
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_104_t_2000.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_104_t_2000.000000.vtu
index acdf49e3f7fd6bf316511d86a3b19766f1ade63f..417e78b066f0905ccca32a81da96aa9c09916c29 100644
--- a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_104_t_2000.000000.vtu
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_19_t_318.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_19_t_318.000000.vtu
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--- a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_19_t_318.000000.vtu
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_1_t_1.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_1_t_1.000000.vtu
index a71fa993834e2519fff03fd0ace302155df4df6a..0da46d6a30ae7cc35f6c49a18a8669eaaba3b19c 100644
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_29_t_518.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_29_t_518.000000.vtu
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_2_t_3.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_2_t_3.000000.vtu
index 44c3777145deff7aba0ec2ba291d3536e9fb46e9..2eb5f463f9d3ce45afa26753774b1ff6e1c09b78 100644
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_39_t_718.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_39_t_718.000000.vtu
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diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_3_t_8.000000.vtu b/Tests/Data/RichardsMechanics/RichardsFlow_2d_small_masslumping_pcs_0_ts_3_t_8.000000.vtu
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+ <youngs_modulus>E</youngs_modulus>
+ <poissons_ratio>nu</poissons_ratio>
+ </constitutive_relation>
+ <process_variables>
+ <displacement>displacement</displacement>
+ <pressure>pressure</pressure>
+ </process_variables>
+ <secondary_variables>
+ <secondary_variable internal_name="sigma" output_name="sigma"/>
+ <secondary_variable internal_name="epsilon" output_name="epsilon"/>
+ <secondary_variable internal_name="velocity" output_name="velocity"/>
+ <secondary_variable internal_name="saturation" output_name="saturation"/>
+ </secondary_variables>
+ <specific_body_force>0 0</specific_body_force>
+ </process>
+ </processes>
+ <media>
+ <medium>
+ <phases>
+ <phase>
+ <type>AqueousLiquid</type>
+ <properties>
+ <property>
+ <name>bulk_modulus</name>
+ <type>Constant</type>
+ <value>2e9</value>
+ </property>
+ <property>
+ <name>viscosity</name>
+ <type>Constant</type>
+ <value>1e-3</value>
+ </property>
+ <property>
+ <name>density</name>
+ <type>Constant</type>
+ <value>1e3</value>
+ </property>
+ </properties>
+ </phase>
+ <phase>
+ <type>Solid</type>
+ <properties>
+ <property>
+ <name>density</name>
+ <type>Constant</type>
+ <value>2.6e3</value>
+ </property>
+ <property>
+ <name>bulk_modulus</name>
+ <type>Constant</type>
+ <value>30e9</value>
+ </property>
+ <property>
+ <name>biot_coefficient</name>
+ <type>Constant</type>
+ <value>1</value>
+ </property>
+ <property>
+ <name>porosity</name>
+ <type>Constant</type>
+ <value>0.5</value>
+ </property>
+ <property>
+ <name>permeability</name>
+ <type>Constant</type>
+ <value>1e-12</value>
+ </property>
+ </properties>
+ </phase>
+ </phases>
+ <properties>
+ <property>
+ <name>saturation</name>
+ <type>SaturationVanGenuchten</type>
+ <residual_liquid_saturation>0.0</residual_liquid_saturation>
+ <residual_gas_saturation>0</residual_gas_saturation>
+ <exponent>0.41176</exponent>
+ <p_b>1e4</p_b>
+ </property>
+ <property>
+ <name>relative_permeability</name>
+ <type>RelativePermeabilityVanGenuchten</type>
+ <residual_liquid_saturation>0</residual_liquid_saturation>
+ <residual_gas_saturation>0</residual_gas_saturation>
+ <exponent>0.789029535864979</exponent>
+ <minimum_relative_permeability_liquid>1e-12</minimum_relative_permeability_liquid>
+ </property>
+ <property>
+ <name>bishops_effective_stress</name>
+ <type>BishopsPowerLaw</type>
+ <exponent>1</exponent>
+ </property>
+ <property>
+ <name>reference_temperature</name>
+ <type>Constant</type>
+ <value>293.15</value>
+ </property>
+ </properties>
+ </medium>
+ </media>
+ <time_loop>
+ <processes>
+ <process ref="RM">
+ <nonlinear_solver>basic_newton</nonlinear_solver>
+ <convergence_criterion>
+ <type>PerComponentDeltaX</type>
+ <norm_type>NORM2</norm_type>
+ <abstols>1e-14 1e-16 1e-16</abstols>
+ </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>10</repeat>
+ <delta_t>1</delta_t>
+ </pair>
+ </timesteps>
+ </time_stepping>
+ </process>
+ </processes>
+ <output>
+ <type>VTK</type>
+ <prefix>alternative_mass_balance_anzInterval_10</prefix>
+ <timesteps>
+ <pair>
+ <repeat>50000</repeat>
+ <each_steps>1</each_steps>
+ </pair>
+ </timesteps>
+ <variables>
+ <variable>displacement</variable>
+ <variable>pressure</variable>
+ <variable>sigma</variable>
+ <variable>epsilon</variable>
+ <variable>velocity</variable>
+ <variable>saturation</variable>
+ </variables>
+ </output>
+ </time_loop>
+ <parameters>
+ <!-- Mechanics -->
+ <parameter>
+ <name>E</name>
+ <type>Constant</type>
+ <value>1e9</value>
+ </parameter>
+ <parameter>
+ <name>nu</name>
+ <type>Constant</type>
+ <value>0.3</value>
+ </parameter>
+ <!-- Model parameters -->
+ <parameter>
+ <name>displacement_ic</name>
+ <type>Constant</type>
+ <values>0 0</values>
+ </parameter>
+ <parameter>
+ <name>pressure_ic</name>
+ <type>Constant</type>
+ <values>0</values>
+ </parameter>
+ <parameter>
+ <name>displacement_bc</name>
+ <type>Constant</type>
+ <value>0</value>
+ </parameter>
+ <parameter>
+ <name>ScaleFactor</name>
+ <type>Constant</type>
+ <value>1</value>
+ </parameter>
+ <parameter>
+ <name>pressure_bc</name>
+ <type>CurveScaled</type>
+ <curve>pressure_ramp</curve>
+ <parameter>ScaleFactor</parameter>
+ </parameter>
+ </parameters>
+ <curves>
+ <curve>
+ <name>pressure_ramp</name>
+ <coords>0 10</coords>
+ <values>0 -1e6</values>
+ </curve>
+ </curves>
+ <process_variables>
+ <process_variable>
+ <name>displacement</name>
+ <components>2</components>
+ <order>1</order>
+ <initial_condition>displacement_ic</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>left</geometry>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>displacement_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>right</geometry>
+ <type>Dirichlet</type>
+ <component>0</component>
+ <parameter>displacement_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>bottom</geometry>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>displacement_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>top</geometry>
+ <type>Dirichlet</type>
+ <component>1</component>
+ <parameter>displacement_bc</parameter>
+ </boundary_condition>
+ </boundary_conditions>
+ </process_variable>
+ <process_variable>
+ <name>pressure</name>
+ <components>1</components>
+ <order>1</order>
+ <initial_condition>pressure_ic</initial_condition>
+ <boundary_conditions>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>left</geometry>
+ <type>Dirichlet</type>
+ <parameter>pressure_bc</parameter>
+ </boundary_condition>
+ <boundary_condition>
+ <geometrical_set>square_1x1_geometry</geometrical_set>
+ <geometry>right</geometry>
+ <type>Dirichlet</type>
+ <parameter>pressure_bc</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>
+ <eigen>
+ <solver_type>SparseLU</solver_type>
+ <scaling>true</scaling>
+ <!--
+ <solver_type>PardisoLU</solver_type>
+ -->
+ </eigen>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
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