KratosMultiphysics
KRATOS Multiphysics (Kratos) is a framework for building parallel, multi-disciplinary simulation software, aiming at modularity, extensibility, and high performance. Kratos is written in C++, and counts with an extensive Python interface.
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Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau > Class Template Reference

Family of explicit Runge-Kutta schemes. More...

#include <explicit_solving_strategy_runge_kutta.h>

Inheritance diagram for Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >:
Collaboration diagram for Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >:

Public Member Functions

Life Cycle
 ExplicitSolvingStrategyRungeKutta ()
 Default constructor. (empty) More...
 
 ExplicitSolvingStrategyRungeKutta (ModelPart &rModelPart, Parameters ThisParameters)
 Default constructor. (with parameters) More...
 
 ExplicitSolvingStrategyRungeKutta (ModelPart &rModelPart, typename ExplicitBuilderType::Pointer pExplicitBuilder, bool MoveMeshFlag=false, int RebuildLevel=0)
 Default constructor. More...
 
 ExplicitSolvingStrategyRungeKutta (ModelPart &rModelPart, bool MoveMeshFlag=false, int RebuildLevel=0)
 Default constructor. More...
 
SolvingStrategyType::Pointer Create (ModelPart &rModelPart, Parameters ThisParameters) const override
 Create method. More...
 
 ExplicitSolvingStrategyRungeKutta (const ExplicitSolvingStrategyRungeKutta &Other)=delete
 
 ~ExplicitSolvingStrategyRungeKutta () override=default
 
Parameters GetDefaultParameters () const override
 This method provides the defaults parameters to avoid conflicts between the different constructors. More...
 
Operations
void Initialize () override
 Initialization of member variables and prior operations. More...
 
- Public Member Functions inherited from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
 ExplicitSolvingStrategy ()
 Default constructor. (empty) More...
 
 ExplicitSolvingStrategy (ModelPart &rModelPart, Parameters ThisParameters)
 Default constructor. (with parameters) More...
 
 ExplicitSolvingStrategy (ModelPart &rModelPart, typename ExplicitBuilderType::Pointer pExplicitBuilder, bool MoveMeshFlag=false, int RebuildLevel=0)
 Default constructor. More...
 
 ExplicitSolvingStrategy (ModelPart &rModelPart, bool MoveMeshFlag=false, int RebuildLevel=0)
 Default constructor. More...
 
 ExplicitSolvingStrategy (const ExplicitSolvingStrategy &Other)=delete
 
virtual ~ExplicitSolvingStrategy ()
 
 KRATOS_CLASS_POINTER_DEFINITION (ExplicitSolvingStrategy)
 
void Clear () override
 Clears the internal storage. More...
 
void InitializeSolutionStep () override
 Performs all the required operations that should be done (for each step) before solving the solution step. More...
 
void FinalizeSolutionStep () override
 Performs all the required operations that should be done (for each step) after solving the solution step. More...
 
bool SolveSolutionStep () override
 Solves the current step. The function always return true as convergence is not checked in the explicit framework. More...
 
void SetRebuildLevel (int Level) override
 
int GetRebuildLevel () const override
 This returns the build level. More...
 
ExplicitBuilderPointerType pGetExplicitBuilder ()
 Operations to get the pointer to the explicit builder and solver. More...
 
ExplicitBuilderTypeGetExplicitBuilder ()
 Operations to get the explicit builder and solver. More...
 
const ExplicitBuilderTypeGetExplicitBuilder () const
 Operations to get the explicit builder and solver. More...
 
double GetResidualNorm () override
 Operations to get the residual norm. More...
 
- Public Member Functions inherited from Kratos::SolvingStrategy< TSparseSpace, TDenseSpace >
 SolvingStrategy ()
 Default constructor. More...
 
 SolvingStrategy (ModelPart &rModelPart, Parameters ThisParameters)
 Default constructor. (with parameters) More...
 
 SolvingStrategy (ModelPart &rModelPart, bool MoveMeshFlag=false)
 Default constructor. More...
 
virtual ~SolvingStrategy ()
 
 KRATOS_CLASS_POINTER_DEFINITION (SolvingStrategy)
 
virtual void Predict ()
 Operation to predict the solution ... if it is not called a trivial predictor is used in which the values of the solution step of interest are assumed equal to the old values. More...
 
virtual double Solve ()
 The problem of interest is solved. More...
 
virtual bool IsConverged ()
 This should be considered as a "post solution" convergence check which is useful for coupled analysis. More...
 
virtual void CalculateOutputData ()
 This operations should be called before printing the results when non trivial results (e.g. stresses) need to be calculated given the solution of the step. More...
 
virtual void SetEchoLevel (const int Level)
 This sets the level of echo for the solving strategy. More...
 
int GetEchoLevel ()
 This returns the level of echo for the solving strategy. More...
 
void SetMoveMeshFlag (bool Flag)
 This function sets the flag that says if the mesh is moved. More...
 
bool MoveMeshFlag ()
 This function returns the flag that says if the mesh is moved. More...
 
bool GetMoveMeshFlag ()
 This function returns the flag that says if the mesh is moved. More...
 
virtual void MoveMesh ()
 This function is designed to move the mesh. More...
 
ModelPartGetModelPart ()
 Operations to get the pointer to the model. More...
 
const ModelPartGetModelPart () const
 Operations to get the pointer to the model. More...
 
virtual int Check ()
 Function to perform expensive checks. More...
 
virtual TSystemMatrixTypeGetSystemMatrix ()
 This method returns the LHS matrix. More...
 
virtual TSystemVectorTypeGetSystemVector ()
 This method returns the RHS vector. More...
 
virtual TSystemVectorTypeGetSolutionVector ()
 This method returns the solution vector. More...
 

Protected Member Functions

Protected Operations
void SolveWithLumpedMassMatrix () override
 Calculate the explicit update This method is intended to implement the explicit update calculation Note that it has to be implemented according to the explicit scheme in a derived class. More...
 
virtual void InitializeRungeKuttaIntermediateSubStep ()
 Initialize the Runge-Kutta intermediate substep This method is intended to implement all the operations required before each Runge-Kutta intermediate substep. More...
 
virtual void FinalizeRungeKuttaIntermediateSubStep ()
 Finalize the Runge-Kutta intermediate substep This method is intended to implement all the operations required after each Runge-Kutta intermediate substep. More...
 
virtual void InitializeRungeKuttaLastSubStep ()
 Initialize the Runge-Kutta last substep This method is intended to implement all the operations required before each Runge-Kutta last substep. More...
 
virtual void FinalizeRungeKuttaLastSubStep ()
 Finalize the Runge-Kutta last substep This method is intended to implement all the operations required after each Runge-Kutta last substep. More...
 
virtual void PerformRungeKuttaIntermediateSubStep (const IndexType SubStepIndex, const LocalSystemVectorType &rFixedDofsValues, LocalSystemMatrixType &rIntermediateStepResidualVectors)
 Performs an intermediate RK4 step This functions performs all the operations required in an intermediate RK4 sub step. More...
 
virtual void PerformRungeKuttaLastSubStep (LocalSystemMatrixType &rLastStepResidualVector)
 Performs the last RK4 step This functions performs all the operations required in the last RK4 sub step. More...
 
- Protected Member Functions inherited from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
virtual double GetDeltaTime ()
 Get the Delta Time object This method returns the DELTA_TIME from the ProcessInfo container. More...
 
void AssignSettings (const Parameters ThisParameters) override
 This method assigns settings to member variables. More...
 
- Protected Member Functions inherited from Kratos::SolvingStrategy< TSparseSpace, TDenseSpace >
virtual Parameters ValidateAndAssignParameters (Parameters ThisParameters, const Parameters DefaultParameters) const
 This method validate and assign default parameters. More...
 

Protected Attributes

Protected static Member Variables
const TButcherTableau mButcherTableau
 
- Protected Attributes inherited from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
int mRebuildLevel
 
- Protected Attributes inherited from Kratos::SolvingStrategy< TSparseSpace, TDenseSpace >
int mEchoLevel
 

Type Definitions

using SolvingStrategyType = SolvingStrategy< TSparseSpace, TDenseSpace >
 The base solving strategy class definition. More...
 
using BaseType = ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
 The base class definition. More...
 
using ClassType = ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >
 The definition of the current class. More...
 
using ExplicitBuilderType = typename BaseType::ExplicitBuilderType
 The explicit builder and solver definition. More...
 
using DofType = typename BaseType::DofType
 The DOF type. More...
 
using LocalSystemVectorType = typename TDenseSpace::VectorType
 The local vector definition. More...
 
using LocalSystemMatrixType = typename TDenseSpace::MatrixType
 
 KRATOS_CLASS_POINTER_DEFINITION (ExplicitSolvingStrategyRungeKutta)
 

Input and output

std::string Info () const override
 Return information as a string. More...
 
void PrintInfo (std::ostream &rOStream) const override
 Print information about this object. More...
 
void PrintData (std::ostream &rOStream) const override
 Print object's data. More...
 
static std::string Name ()
 Returns the name of the class as used in the settings (snake_case format) More...
 

Additional Inherited Members

- Public Types inherited from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
typedef ExplicitBuilder< TSparseSpace, TDenseSpace > ExplicitBuilderType
 
typedef ExplicitBuilderType::Pointer ExplicitBuilderPointerType
 
typedef ExplicitBuilderType::DofType DofType
 
typedef SolvingStrategy< TSparseSpace, TDenseSpace > BaseType
 The definition of the base class. More...
 
typedef ExplicitSolvingStrategy< TSparseSpace, TDenseSpace > ClassType
 The definition of the current class. More...
 
- Public Types inherited from Kratos::SolvingStrategy< TSparseSpace, TDenseSpace >
typedef TSparseSpace::DataType TDataType
 
typedef TSparseSpace::MatrixType TSystemMatrixType
 
typedef TSparseSpace::VectorType TSystemVectorType
 
typedef TSparseSpace::MatrixPointerType TSystemMatrixPointerType
 
typedef TSparseSpace::VectorPointerType TSystemVectorPointerType
 
typedef TDenseSpace::MatrixType LocalSystemMatrixType
 
typedef TDenseSpace::VectorType LocalSystemVectorType
 
typedef SolvingStrategy< TSparseSpace, TDenseSpace > ClassType
 
typedef ModelPart::DofType TDofType
 
typedef ModelPart::DofsArrayType DofsArrayType
 
typedef ModelPart::NodesContainerType NodesArrayType
 
typedef ModelPart::ElementsContainerType ElementsArrayType
 
typedef ModelPart::ConditionsContainerType ConditionsArrayType
 
- Static Public Member Functions inherited from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >
static std::string Name ()
 Returns the name of the class as used in the settings (snake_case format) More...
 
- Static Public Member Functions inherited from Kratos::SolvingStrategy< TSparseSpace, TDenseSpace >
static std::string Name ()
 Returns the name of the class as used in the settings (snake_case format) More...
 

Detailed Description

template<class TSparseSpace, class TDenseSpace, class TButcherTableau>
class Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >

Family of explicit Runge-Kutta schemes.

: Formulation:

The Runge-Kutta method is, for i = 0...N substeps:

Template Parameters
TSparseSpace
TDenseSpace
TButcherTableauspecifies
  • The sets of coefficients A, b and c
  • The number of Runge-Kutta substeps
See also
: ButcherTableau

Member Typedef Documentation

◆ BaseType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::BaseType = ExplicitSolvingStrategy<TSparseSpace, TDenseSpace>

The base class definition.

◆ ClassType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ClassType = ExplicitSolvingStrategyRungeKutta<TSparseSpace, TDenseSpace, TButcherTableau>

The definition of the current class.

◆ DofType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::DofType = typename BaseType::DofType

The DOF type.

◆ ExplicitBuilderType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitBuilderType = typename BaseType::ExplicitBuilderType

The explicit builder and solver definition.

◆ LocalSystemMatrixType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::LocalSystemMatrixType = typename TDenseSpace::MatrixType

◆ LocalSystemVectorType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::LocalSystemVectorType = typename TDenseSpace::VectorType

The local vector definition.

◆ SolvingStrategyType

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
using Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::SolvingStrategyType = SolvingStrategy<TSparseSpace, TDenseSpace>

The base solving strategy class definition.

Constructor & Destructor Documentation

◆ ExplicitSolvingStrategyRungeKutta() [1/5]

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitSolvingStrategyRungeKutta ( )
inlineexplicit

Default constructor. (empty)

◆ ExplicitSolvingStrategyRungeKutta() [2/5]

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitSolvingStrategyRungeKutta ( ModelPart rModelPart,
Parameters  ThisParameters 
)
inlineexplicit

Default constructor. (with parameters)

Parameters
rModelPartThe model part of the problem
ThisParametersThe configuration parameters

◆ ExplicitSolvingStrategyRungeKutta() [3/5]

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitSolvingStrategyRungeKutta ( ModelPart rModelPart,
typename ExplicitBuilderType::Pointer  pExplicitBuilder,
bool  MoveMeshFlag = false,
int  RebuildLevel = 0 
)
inlineexplicit

Default constructor.

Parameters
rModelPartThe model part to be computed
pExplicitBuilderThe pointer to the explicit builder and solver
MoveMeshFlagThe flag to set if the mesh is moved or not

◆ ExplicitSolvingStrategyRungeKutta() [4/5]

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitSolvingStrategyRungeKutta ( ModelPart rModelPart,
bool  MoveMeshFlag = false,
int  RebuildLevel = 0 
)
inlineexplicit

Default constructor.

Parameters
rModelPartThe model part to be computed
MoveMeshFlagThe flag to set if the mesh is moved or not

◆ ExplicitSolvingStrategyRungeKutta() [5/5]

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::ExplicitSolvingStrategyRungeKutta ( const ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau > &  Other)
delete

Copy constructor.

◆ ~ExplicitSolvingStrategyRungeKutta()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::~ExplicitSolvingStrategyRungeKutta ( )
overridedefault

Destructor.

Member Function Documentation

◆ Create()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
SolvingStrategyType::Pointer Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::Create ( ModelPart rModelPart,
Parameters  ThisParameters 
) const
inlineoverridevirtual

Create method.

Parameters
rModelPartThe model part to be computed
ThisParametersThe configuration parameters

Reimplemented from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >.

◆ FinalizeRungeKuttaIntermediateSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::FinalizeRungeKuttaIntermediateSubStep ( )
inlineprotectedvirtual

Finalize the Runge-Kutta intermediate substep This method is intended to implement all the operations required after each Runge-Kutta intermediate substep.

Reimplemented in Kratos::CompressibleNavierStokesExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >.

◆ FinalizeRungeKuttaLastSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::FinalizeRungeKuttaLastSubStep ( )
inlineprotectedvirtual

Finalize the Runge-Kutta last substep This method is intended to implement all the operations required after each Runge-Kutta last substep.

Reimplemented in Kratos::CompressibleNavierStokesExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >.

◆ GetDefaultParameters()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Parameters Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::GetDefaultParameters ( ) const
inlineoverridevirtual

◆ Info()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
std::string Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::Info ( ) const
inlineoverridevirtual

◆ Initialize()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::Initialize ( )
inlineoverridevirtual

◆ InitializeRungeKuttaIntermediateSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::InitializeRungeKuttaIntermediateSubStep ( )
inlineprotectedvirtual

Initialize the Runge-Kutta intermediate substep This method is intended to implement all the operations required before each Runge-Kutta intermediate substep.

Reimplemented in Kratos::CompressibleNavierStokesExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >, and Kratos::ExplicitSolvingStrategyRungeKutta4ConvectionDiffusion< TSparseSpace, TDenseSpace >.

◆ InitializeRungeKuttaLastSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::InitializeRungeKuttaLastSubStep ( )
inlineprotectedvirtual

Initialize the Runge-Kutta last substep This method is intended to implement all the operations required before each Runge-Kutta last substep.

Reimplemented in Kratos::CompressibleNavierStokesExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >, and Kratos::ExplicitSolvingStrategyRungeKutta4ConvectionDiffusion< TSparseSpace, TDenseSpace >.

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::KRATOS_CLASS_POINTER_DEFINITION ( ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >  )

Counted pointer of ClassName

◆ Name()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
static std::string Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::Name ( )
inlinestatic

Returns the name of the class as used in the settings (snake_case format)

Returns
The name of the class

◆ PerformRungeKuttaIntermediateSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::PerformRungeKuttaIntermediateSubStep ( const IndexType  SubStepIndex,
const LocalSystemVectorType rFixedDofsValues,
LocalSystemMatrixType rIntermediateStepResidualVectors 
)
inlineprotectedvirtual

Performs an intermediate RK4 step This functions performs all the operations required in an intermediate RK4 sub step.

Parameters
SubStepIndexThe sub step index
SubStepCoefficientsThe sub step coefficients (these are saved as member variables)
rFixedDofsValuesThe vector containing the step n+1 values of the fixed DOFs
rIntermediateStepResidualVectorThe vector to store the intermediate sub step residual

◆ PerformRungeKuttaLastSubStep()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
virtual void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::PerformRungeKuttaLastSubStep ( LocalSystemMatrixType rLastStepResidualVector)
inlineprotectedvirtual

Performs the last RK4 step This functions performs all the operations required in the last RK4 sub step.

Parameters
rLastStepResidualVectorThe vector to store the last sub step residual

◆ PrintData()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::PrintData ( std::ostream &  rOStream) const
inlineoverridevirtual

◆ PrintInfo()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::PrintInfo ( std::ostream &  rOStream) const
inlineoverridevirtual

◆ SolveWithLumpedMassMatrix()

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
void Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::SolveWithLumpedMassMatrix ( )
inlineoverrideprotectedvirtual

Calculate the explicit update This method is intended to implement the explicit update calculation Note that it has to be implemented according to the explicit scheme in a derived class.

Reimplemented from Kratos::ExplicitSolvingStrategy< TSparseSpace, TDenseSpace >.

Member Data Documentation

◆ mButcherTableau

template<class TSparseSpace , class TDenseSpace , class TButcherTableau >
const TButcherTableau Kratos::ExplicitSolvingStrategyRungeKutta< TSparseSpace, TDenseSpace, TButcherTableau >::mButcherTableau
protected

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