OGS
ProcessLib::LiquidFlow::LiquidFlowProcess Class Referencefinal

Detailed Description

A class to simulate the single phase flow process in porous media described by the governing equation:

\[ \left(\frac{\partial}{\partial p}(\phi \rho) + \rho \beta_s\right) \frac{\partial p}{\partial t} -\nabla \left(\rho\frac{\mathbf K}{\mu}(\nabla p + \rho g \nabla z)\right ) = \rho Q, \]

where

\begin{eqnarray*} &p:& \mbox{pore pressure,}\\ &\phi:& \mbox{porosity,}\\ &\rho:& \mbox{liquid or gas density,}\\ &\beta_s:& \mbox{specific storage,}\\ &{\mathbf K}:& \mbox{permeability,}\\ &\mu:& \mbox{viscosity,}\\ &g:& \mbox{gravitational constant,}\\ &Q:& \mbox{Source/sink term in m}^3/{\text s}.\\ \end{eqnarray*}

This governing equation represents the mass balance.

If the density is assumed constant, for example for a groundwater modelling, the governing equation is scaled with the density, and it becomes volume balanced as:

\[ \left(\frac{1}{\rho}\frac{\partial}{\partial p}(\phi \rho) + \beta_s\right) \frac{\partial p}{\partial t} -\nabla \left(\frac{\mathbf K}{\mu}(\nabla p + \rho g \nabla z)\right ) = Q, \]

An optional input tag equation_balance_type of this process can be used to select whether to use the volume balanced equation or the mass balanced equation. By default, we assume that volume balanced equation is used.

Be aware that the Neumann condition is

\begin{eqnarray*} & -\frac{\mathbf K}{\mu}(\nabla p + \rho g \nabla z) \cdot \mathbf n = q_v [\text{m/s}]: & \mbox{ for the volume balance equation,}\\ & -\rho\frac{\mathbf K}{\mu}(\nabla p + \rho g \nabla z) \cdot \mathbf n = q_f [\text{kg/m²/s}]: & \mbox{for the mass balance equation,} \end{eqnarray*}

with \( \mathbf n \) the outer normal of the boundary.

Definition at line 72 of file LiquidFlowProcess.h.

#include <LiquidFlowProcess.h>

Inheritance diagram for ProcessLib::LiquidFlow::LiquidFlowProcess:
[legend]
Collaboration diagram for ProcessLib::LiquidFlow::LiquidFlowProcess:
[legend]

Public Member Functions

 LiquidFlowProcess (std::string name, MeshLib::Mesh &mesh, std::unique_ptr< AbstractJacobianAssembler > &&jacobian_assembler, std::vector< std::unique_ptr< ParameterLib::ParameterBase > > const &parameters, unsigned const integration_order, std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > &&process_variables, LiquidFlowData &&process_data, SecondaryVariableCollection &&secondary_variables, std::unique_ptr< ProcessLib::SurfaceFluxData > &&surfaceflux, bool const is_linear)
void computeSecondaryVariableConcrete (double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id) override
bool isLinear () const override
Eigen::Vector3d getFlux (std::size_t const element_id, MathLib::Point3d const &p, double const t, std::vector< GlobalVector * > const &x) const override
void postTimestepConcreteProcess (std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, const double t, const double dt, int const process_id) override
Public Member Functions inherited from ProcessLib::Process
 Process (std::string name_, MeshLib::Mesh &mesh, std::unique_ptr< AbstractJacobianAssembler > &&jacobian_assembler, std::vector< std::unique_ptr< ParameterLib::ParameterBase > > const &parameters, unsigned const integration_order, std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > &&process_variables, SecondaryVariableCollection &&secondary_variables, const bool use_monolithic_scheme=true)
void preTimestep (std::vector< GlobalVector * > const &x, const double t, const double delta_t, const int process_id)
 Preprocessing before starting assembly for new timestep.
void postTimestep (std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, const double t, const double delta_t, int const process_id)
 Postprocessing after a complete timestep.
void postNonLinearSolver (std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, const double t, double const dt, int const process_id)
void preIteration (const unsigned iter, GlobalVector const &x) final
void computeSecondaryVariable (double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id)
 compute secondary variables for the coupled equations or for output.
NumLib::IterationResult postIteration (GlobalVector const &x) final
void initialize (std::map< int, std::shared_ptr< MaterialPropertyLib::Medium > > const &media)
void setInitialConditions (std::vector< GlobalVector * > &process_solutions, std::vector< GlobalVector * > const &process_solutions_prev, double const t, int const process_id)
MathLib::MatrixSpecifications getMatrixSpecifications (const int process_id) const override
void updateDeactivatedSubdomains (double const time, const int process_id)
virtual bool isMonolithicSchemeUsed () const
virtual void extrapolateIntegrationPointValuesToNodes (const double, std::vector< GlobalVector * > const &, std::vector< GlobalVector * > &)
void preAssemble (const double t, double const dt, GlobalVector const &x) final
void assemble (const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalMatrix &M, GlobalMatrix &K, GlobalVector &b) final
void assembleWithJacobian (const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalVector &b, GlobalMatrix &Jac) final
void preOutput (const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id)
std::vector< NumLib::IndexValueVector< GlobalIndexType > > const * getKnownSolutions (double const t, GlobalVector const &x, int const process_id) const final
virtual NumLib::LocalToGlobalIndexMap const & getDOFTable (const int) const
MeshLib::MeshgetMesh () const
std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > const & getProcessVariables () const
std::vector< std::reference_wrapper< ProcessVariable > > const & getProcessVariables (const int process_id) const
std::vector< std::size_t > const & getActiveElementIDs () const
SecondaryVariableCollection const & getSecondaryVariables () const
std::vector< std::unique_ptr< MeshLib::IntegrationPointWriter > > const & getIntegrationPointWriters () const
virtual void solveReactionEquation (std::vector< GlobalVector * > &, std::vector< GlobalVector * > const &, double const, double const, NumLib::EquationSystem &, int const)
bool requiresNormalization () const override
Public Member Functions inherited from ProcessLib::SubmeshAssemblySupport
virtual std::vector< std::vector< std::string > > initializeAssemblyOnSubmeshes (std::vector< std::reference_wrapper< MeshLib::Mesh > > const &meshes)
virtual ~SubmeshAssemblySupport ()=default

Private Member Functions

void initializeConcreteProcess (NumLib::LocalToGlobalIndexMap const &dof_table, MeshLib::Mesh const &mesh, unsigned const integration_order) override
 Process specific initialization called by initialize().
void assembleConcreteProcess (const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalMatrix &M, GlobalMatrix &K, GlobalVector &b) override
void assembleWithJacobianConcreteProcess (const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalVector &b, GlobalMatrix &Jac) override

Private Attributes

LiquidFlowData _process_data
std::vector< std::unique_ptr< LiquidFlowLocalAssemblerInterface > > _local_assemblers
std::unique_ptr< ProcessLib::SurfaceFluxData_surfaceflux
MeshLib::PropertyVector< double > * _hydraulic_flow = nullptr
bool _is_linear = false

Additional Inherited Members

Public Attributes inherited from ProcessLib::Process
std::string const name
Static Public Attributes inherited from ProcessLib::Process
static PROCESSLIB_EXPORT const std::string constant_one_parameter_name = "constant_one"
Protected Member Functions inherited from ProcessLib::Process
std::vector< NumLib::LocalToGlobalIndexMap const * > getDOFTables (int const number_of_processes) const
NumLib::ExtrapolatorgetExtrapolator () const
NumLib::LocalToGlobalIndexMap const & getSingleComponentDOFTable () const
void initializeProcessBoundaryConditionsAndSourceTerms (const NumLib::LocalToGlobalIndexMap &dof_table, const int process_id, std::map< int, std::shared_ptr< MaterialPropertyLib::Medium > > const &media)
virtual void constructDofTable ()
void constructMonolithicProcessDofTable ()
void constructDofTableOfSpecifiedProcessStaggeredScheme (const int specified_process_id)
virtual std::tuple< NumLib::LocalToGlobalIndexMap *, bool > getDOFTableForExtrapolatorData () const
std::vector< GlobalIndexTypegetIndicesOfResiduumWithoutInitialCompensation () const override
void setReleaseNodalForces (GlobalVector const *r_neq, int const process_id) override
Protected Attributes inherited from ProcessLib::Process
MeshLib::Mesh_mesh
std::unique_ptr< MeshLib::MeshSubset const > _mesh_subset_all_nodes
std::unique_ptr< NumLib::LocalToGlobalIndexMap_local_to_global_index_map
SecondaryVariableCollection _secondary_variables
CellAverageData cell_average_data_
std::unique_ptr< ProcessLib::AbstractJacobianAssembler_jacobian_assembler
VectorMatrixAssembler _global_assembler
const bool _use_monolithic_scheme
unsigned const _integration_order
std::vector< std::unique_ptr< MeshLib::IntegrationPointWriter > > _integration_point_writer
GlobalSparsityPattern _sparsity_pattern
std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > _process_variables
std::vector< BoundaryConditionCollection_boundary_conditions

Constructor & Destructor Documentation

◆ LiquidFlowProcess()

ProcessLib::LiquidFlow::LiquidFlowProcess::LiquidFlowProcess ( std::string name,
MeshLib::Mesh & mesh,
std::unique_ptr< AbstractJacobianAssembler > && jacobian_assembler,
std::vector< std::unique_ptr< ParameterLib::ParameterBase > > const & parameters,
unsigned const integration_order,
std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > && process_variables,
LiquidFlowData && process_data,
SecondaryVariableCollection && secondary_variables,
std::unique_ptr< ProcessLib::SurfaceFluxData > && surfaceflux,
bool const is_linear )

Definition at line 20 of file LiquidFlowProcess.cpp.

31 : Process(std::move(name), mesh, std::move(jacobian_assembler), parameters,
32 integration_order, std::move(process_variables),
33 std::move(secondary_variables)),
34 _process_data(std::move(process_data)),
35 _surfaceflux(std::move(surfaceflux)),
36 _is_linear(is_linear)
37{
38 DBUG("Create Liquid flow process.");
39
40 // For numerical Jacobian assembler
41 this->_jacobian_assembler->setNonDeformationComponentIDs(
42 {0} /* only one variable: pressure */);
43
44 std::string const residuum_name =
45 _process_data.equation_balance_type == EquationBalanceType::volume
46 ? "VolumetricFlowRate"
47 : "MassFlowRate";
49 mesh, residuum_name, MeshLib::MeshItemType::Node, 1);
50}
void DBUG(fmt::format_string< Args... > fmt, Args &&... args)
Definition Logging.h:22
std::unique_ptr< ProcessLib::SurfaceFluxData > _surfaceflux
MeshLib::PropertyVector< double > * _hydraulic_flow
std::string const name
Definition Process.h:361
Process(std::string name_, MeshLib::Mesh &mesh, std::unique_ptr< AbstractJacobianAssembler > &&jacobian_assembler, std::vector< std::unique_ptr< ParameterLib::ParameterBase > > const &parameters, unsigned const integration_order, std::vector< std::vector< std::reference_wrapper< ProcessVariable > > > &&process_variables, SecondaryVariableCollection &&secondary_variables, const bool use_monolithic_scheme=true)
Definition Process.cpp:37
std::unique_ptr< ProcessLib::AbstractJacobianAssembler > _jacobian_assembler
Definition Process.h:375
PropertyVector< T > * getOrCreateMeshProperty(Mesh &mesh, std::string const &property_name, MeshItemType const item_type, int const number_of_components)

References ProcessLib::Process::Process(), _hydraulic_flow, _is_linear, ProcessLib::Process::_jacobian_assembler, _process_data, _surfaceflux, DBUG(), MeshLib::getOrCreateMeshProperty(), ProcessLib::Process::name, MeshLib::Node, and ProcessLib::LiquidFlow::volume.

Member Function Documentation

◆ assembleConcreteProcess()

void ProcessLib::LiquidFlow::LiquidFlowProcess::assembleConcreteProcess ( const double t,
double const dt,
std::vector< GlobalVector * > const & x,
std::vector< GlobalVector * > const & x_prev,
int const process_id,
GlobalMatrix & M,
GlobalMatrix & K,
GlobalVector & b )
overrideprivatevirtual

Implements ProcessLib::Process.

Definition at line 70 of file LiquidFlowProcess.cpp.

74{
75 DBUG("Assemble LiquidFlowProcess.");
76
77 std::vector<NumLib::LocalToGlobalIndexMap const*> dof_table = {
79
80 // Call global assembler for each local assembly item.
83 getActiveElementIDs(), dof_table, t, dt, x, x_prev, process_id, &M, &K,
84 &b);
85
89
90 auto const residuum = computeResiduum(dt, *x[0], *x_prev[0], M, K, b);
91 transformVariableFromGlobalVector(residuum, 0 /*variable id*/,
93 *_hydraulic_flow, std::negate<double>());
94}
std::vector< std::unique_ptr< LiquidFlowLocalAssemblerInterface > > _local_assemblers
std::vector< std::size_t > const & getActiveElementIDs() const
Definition Process.h:160
VectorMatrixAssembler _global_assembler
Definition Process.h:376
std::unique_ptr< NumLib::LocalToGlobalIndexMap > _local_to_global_index_map
Definition Process.h:367
void assemble(std::size_t const mesh_item_id, LocalAssemblerInterface &local_assembler, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, double const t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalMatrix *M, GlobalMatrix *K, GlobalVector *b)
void finalizeVectorAssembly(VEC_T &)
General function to finalize the vector assembly.
bool finalizeMatrixAssembly(MAT_T &)
void transformVariableFromGlobalVector(GlobalVector const &input_vector, int const variable_id, NumLib::LocalToGlobalIndexMap const &local_to_global_index_map, MeshLib::PropertyVector< double > &output_vector, Functor map_function)
GlobalVector computeResiduum(double const dt, GlobalVector const &x, GlobalVector const &x_prev, GlobalMatrix const &M, GlobalMatrix const &K, GlobalVector const &b)
static void executeSelectedMemberDereferenced(Object &object, Method method, Container const &container, std::vector< std::size_t > const &active_container_ids, Args &&... args)

References ProcessLib::Process::_global_assembler, _hydraulic_flow, _local_assemblers, ProcessLib::Process::_local_to_global_index_map, ProcessLib::VectorMatrixAssembler::assemble(), ProcessLib::computeResiduum(), DBUG(), NumLib::SerialExecutor::executeSelectedMemberDereferenced(), MathLib::finalizeMatrixAssembly(), MathLib::finalizeVectorAssembly(), and ProcessLib::Process::getActiveElementIDs().

◆ assembleWithJacobianConcreteProcess()

void ProcessLib::LiquidFlow::LiquidFlowProcess::assembleWithJacobianConcreteProcess ( const double t,
double const dt,
std::vector< GlobalVector * > const & x,
std::vector< GlobalVector * > const & x_prev,
int const process_id,
GlobalVector & b,
GlobalMatrix & Jac )
overrideprivatevirtual

Implements ProcessLib::Process.

Definition at line 96 of file LiquidFlowProcess.cpp.

100{
101 DBUG("AssembleWithJacobian LiquidFlowProcess.");
102
103 std::vector<NumLib::LocalToGlobalIndexMap const*> dof_table = {
105
106 // Call global assembler for each local assembly item.
109 _local_assemblers, getActiveElementIDs(), dof_table, t, dt, x, x_prev,
110 process_id, &b, &Jac);
111}
void assembleWithJacobian(std::size_t const mesh_item_id, LocalAssemblerInterface &local_assembler, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, const double t, double const dt, std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id, GlobalVector *b, GlobalMatrix *Jac)

References ProcessLib::Process::_global_assembler, _local_assemblers, ProcessLib::Process::_local_to_global_index_map, ProcessLib::VectorMatrixAssembler::assembleWithJacobian(), DBUG(), NumLib::SerialExecutor::executeSelectedMemberDereferenced(), and ProcessLib::Process::getActiveElementIDs().

◆ computeSecondaryVariableConcrete()

void ProcessLib::LiquidFlow::LiquidFlowProcess::computeSecondaryVariableConcrete ( double const t,
double const dt,
std::vector< GlobalVector * > const & x,
GlobalVector const & x_prev,
int const process_id )
overridevirtual

Reimplemented from ProcessLib::Process.

Definition at line 113 of file LiquidFlowProcess.cpp.

116{
117 DBUG("Compute the velocity for LiquidFlowProcess.");
118 std::vector<NumLib::LocalToGlobalIndexMap const*> dof_tables;
119 dof_tables.reserve(x.size());
120 std::generate_n(std::back_inserter(dof_tables), x.size(),
121 [&]() { return _local_to_global_index_map.get(); });
122
125 _local_assemblers, getActiveElementIDs(), dof_tables, t, dt, x, x_prev,
126 process_id);
127}
virtual void computeSecondaryVariable(std::size_t const mesh_item_id, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, double const t, double const dt, std::vector< GlobalVector * > const &x, GlobalVector const &x_prev, int const process_id)
static void executeSelectedMemberOnDereferenced(Method method, Container const &container, std::vector< std::size_t > const &active_container_ids, Args &&... args)

References _local_assemblers, ProcessLib::LocalAssemblerInterface::computeSecondaryVariable(), DBUG(), NumLib::SerialExecutor::executeSelectedMemberOnDereferenced(), and ProcessLib::Process::getActiveElementIDs().

◆ getFlux()

Eigen::Vector3d ProcessLib::LiquidFlow::LiquidFlowProcess::getFlux ( std::size_t const element_id,
MathLib::Point3d const & p,
double const t,
std::vector< GlobalVector * > const & x ) const
overridevirtual

Reimplemented from ProcessLib::Process.

Definition at line 129 of file LiquidFlowProcess.cpp.

134{
135 // fetch local_x from primary variable
136 std::vector<GlobalIndexType> indices_cache;
137 auto const r_c_indices = NumLib::getRowColumnIndices(
138 element_id, *_local_to_global_index_map, indices_cache);
139 constexpr int process_id = 0; // monolithic scheme.
140 std::vector<double> local_x(x[process_id]->get(r_c_indices.rows));
141
142 return _local_assemblers[element_id]->getFlux(p, t, local_x);
143}
NumLib::LocalToGlobalIndexMap::RowColumnIndices getRowColumnIndices(std::size_t const id, NumLib::LocalToGlobalIndexMap const &dof_table, std::vector< GlobalIndexType > &indices)
auto & get(Tuples &... ts)
Definition Get.h:53

References _local_assemblers, ProcessLib::Process::_local_to_global_index_map, and NumLib::getRowColumnIndices().

◆ initializeConcreteProcess()

void ProcessLib::LiquidFlow::LiquidFlowProcess::initializeConcreteProcess ( NumLib::LocalToGlobalIndexMap const & dof_table,
MeshLib::Mesh const & mesh,
unsigned const integration_order )
overrideprivatevirtual

Process specific initialization called by initialize().

Implements ProcessLib::Process.

Definition at line 52 of file LiquidFlowProcess.cpp.

56{
57 int const mesh_space_dimension = _process_data.mesh_space_dimension;
59 mesh_space_dimension, mesh.getElements(), dof_table, _local_assemblers,
60 NumLib::IntegrationOrder{integration_order}, mesh.isAxiallySymmetric(),
62
63 _secondary_variables.addSecondaryVariable(
64 "darcy_velocity",
66 mesh_space_dimension, getExtrapolator(), _local_assemblers,
68}
virtual std::vector< double > const & getIntPtDarcyVelocity(const double t, std::vector< GlobalVector * > const &x, std::vector< NumLib::LocalToGlobalIndexMap const * > const &dof_tables, std::vector< double > &cache) const =0
SecondaryVariableCollection _secondary_variables
Definition Process.h:369
NumLib::Extrapolator & getExtrapolator() const
Definition Process.h:201
void createLocalAssemblers(std::vector< MeshLib::Element * > const &mesh_elements, NumLib::LocalToGlobalIndexMap const &dof_table, std::vector< std::unique_ptr< LocalAssemblerInterface > > &local_assemblers, ProviderOrOrder const &provider_or_order, ExtraCtorArgs &&... extra_ctor_args)
SecondaryVariableFunctions makeExtrapolator(const unsigned num_components, NumLib::Extrapolator &extrapolator, LocalAssemblerCollection const &local_assemblers, typename NumLib::ExtrapolatableLocalAssemblerCollection< LocalAssemblerCollection >::IntegrationPointValuesMethod integration_point_values_method)

References _local_assemblers, _process_data, ProcessLib::Process::_secondary_variables, ProcessLib::createLocalAssemblers(), MeshLib::Mesh::getElements(), ProcessLib::Process::getExtrapolator(), ProcessLib::LiquidFlow::LiquidFlowLocalAssemblerInterface::getIntPtDarcyVelocity(), MeshLib::Mesh::isAxiallySymmetric(), and ProcessLib::makeExtrapolator().

◆ isLinear()

bool ProcessLib::LiquidFlow::LiquidFlowProcess::isLinear ( ) const
inlineoverride

Definition at line 93 of file LiquidFlowProcess.h.

93{ return _is_linear; }

References _is_linear.

◆ postTimestepConcreteProcess()

void ProcessLib::LiquidFlow::LiquidFlowProcess::postTimestepConcreteProcess ( std::vector< GlobalVector * > const & x,
std::vector< GlobalVector * > const & x_prev,
const double t,
const double dt,
int const process_id )
overridevirtual

Reimplemented from ProcessLib::Process.

Definition at line 146 of file LiquidFlowProcess.cpp.

152{
153 if (!_surfaceflux) // computing the surfaceflux is optional
154 {
155 return;
156 }
157
158 _surfaceflux->integrate(x, t, *this, process_id, _integration_order, _mesh,
160}
MeshLib::Mesh & _mesh
Definition Process.h:364
unsigned const _integration_order
Definition Process.h:383

References ProcessLib::Process::_integration_order, ProcessLib::Process::_mesh, _surfaceflux, and ProcessLib::Process::getActiveElementIDs().

Member Data Documentation

◆ _hydraulic_flow

MeshLib::PropertyVector<double>* ProcessLib::LiquidFlow::LiquidFlowProcess::_hydraulic_flow = nullptr
private

Definition at line 128 of file LiquidFlowProcess.h.

Referenced by LiquidFlowProcess(), and assembleConcreteProcess().

◆ _is_linear

bool ProcessLib::LiquidFlow::LiquidFlowProcess::_is_linear = false
private

Definition at line 129 of file LiquidFlowProcess.h.

Referenced by LiquidFlowProcess(), and isLinear().

◆ _local_assemblers

std::vector<std::unique_ptr<LiquidFlowLocalAssemblerInterface> > ProcessLib::LiquidFlow::LiquidFlowProcess::_local_assemblers
private

◆ _process_data

LiquidFlowData ProcessLib::LiquidFlow::LiquidFlowProcess::_process_data
private

Definition at line 122 of file LiquidFlowProcess.h.

Referenced by LiquidFlowProcess(), and initializeConcreteProcess().

◆ _surfaceflux

std::unique_ptr<ProcessLib::SurfaceFluxData> ProcessLib::LiquidFlow::LiquidFlowProcess::_surfaceflux
private

Definition at line 127 of file LiquidFlowProcess.h.

Referenced by LiquidFlowProcess(), and postTimestepConcreteProcess().


The documentation for this class was generated from the following files: