An explicit central difference scheme. More...

#include <explicit_central_differences_scheme.hpp>

Inheritance diagram for Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >:

Collaboration diagram for Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >:

Classes
struct	DeltaTimeParameters
	This struct contains the information related with the increment od time step. More...

struct	TimeVariables
	This struct contains the details of the time variables. More...

Public Member Functions
Life Cycle
	ExplicitCentralDifferencesScheme (Flags &rOptions, const double rMaximumDeltaTime, const double rDeltaTimeFraction, const double rDeltaTimePredictionLevel)
	Default constructors. More...

	ExplicitCentralDifferencesScheme (ExplicitCentralDifferencesScheme &rOther)
	Copy constructor. More...

BasePointerType	Clone () override
	Clone. More...

	~ExplicitCentralDifferencesScheme () override
	Destructor. More...

	ExplicitCentralDifferencesScheme (const double MaximumDeltaTime, const double DeltaTimeFraction, const double DeltaTimePredictionLevel)
	Default constructor. More...

	ExplicitCentralDifferencesScheme (Parameters rParameters=Parameters(R"({})"))
	Constructor with parameters. More...

virtual	~ExplicitCentralDifferencesScheme ()

Operations
void	Initialize (ModelPart &rModelPart) override
	This is the place to initialize the Scheme. More...

void	InitializeSolutionStep (ModelPart &rModelPart) override

void	Update (ModelPart &rModelPart, DofsArrayType &rDofSet, SystemVectorType &rDx) override

void	Calculate_RHS_Contribution (Element::Pointer rCurrentElement, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo) override

void	Condition_Calculate_RHS_Contribution (Condition::Pointer rCurrentCondition, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo) override

int	Check (ModelPart &rModelPart) override

Operators
int	Check (const ModelPart &rModelPart) const override
	This function is designed to be called once to perform all the checks needed on the input provided. More...

void	Initialize (ModelPart &rModelPart) override
	This is the place to initialize the Scheme. This is intended to be called just once when the strategy is initialized. More...

void	InitializeSolutionStep (ModelPart &rModelPart, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override
	It initializes time step solution. Only for reasons if the time step solution is restarted. More...

void	InitializeResidual (ModelPart &rModelPart)
	This method initializes the residual in the nodes of the model part. More...

void	InitializeExplicitScheme (ModelPart &rModelPart, const SizeType DomainSize=3)
	This method initializes some rutines related with the explicit scheme. More...

void	Update (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &rA, TSystemVectorType &rDx, TSystemVectorType &rb) override
	Performing the update of the solution. More...

void	UpdateTranslationalDegreesOfFreedom (NodeIterator itCurrentNode, const IndexType DisplacementPosition, const SizeType DomainSize=3)
	This method updates the translation DoF. More...

void	UpdateRotationalDegreesOfFreedom (NodeIterator itCurrentNode, const IndexType RotationPosition, const SizeType DomainSize=3)
	This method updates the rotation DoF. More...

virtual void	SchemeCustomInitialization (ModelPart &rModelPart, const SizeType DomainSize=3)
	This method performs some custom operations to initialize the scheme. More...

void	CalculateRHSContribution (Element &rCurrentElement, LocalSystemVectorType &RHS_Contribution, Element::EquationIdVectorType &EquationId, const ProcessInfo &rCurrentProcessInfo) override
	This function is designed to calculate just the RHS contribution. More...

void	CalculateRHSContribution (Condition &rCurrentCondition, LocalSystemVectorType &RHS_Contribution, Element::EquationIdVectorType &EquationId, const ProcessInfo &rCurrentProcessInfo) override
	Functions that calculates the RHS of a "condition" object. More...

void	CalculateAndAddRHS (ModelPart &rModelPart)

void	Predict (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b) override
	Performing the prediction of the solution. More...

Public Member Functions inherited from Kratos::SolutionScheme< TSparseSpace, TDenseSpace >
	SolutionScheme ()
	Default Constructor. More...

	SolutionScheme (Flags &rOptions)
	Constructor. More...

	SolutionScheme (IntegrationMethodsVectorType &rTimeVectorIntegrationMethods, Flags &rOptions)
	Constructor. More...

	SolutionScheme (IntegrationMethodsVectorType &rTimeVectorIntegrationMethods)
	Constructor. More...

	SolutionScheme (IntegrationMethodsScalarType &rTimeScalarIntegrationMethods, Flags &rOptions)
	Constructor. More...

	SolutionScheme (IntegrationMethodsScalarType &rTimeScalarIntegrationMethods)
	Constructor. More...

	SolutionScheme (IntegrationMethodsVectorType &rTimeVectorIntegrationMethods, IntegrationMethodsScalarType &rTimeScalarIntegrationMethods, Flags &rOptions)
	Constructor. More...

	SolutionScheme (IntegrationMethodsVectorType &rTimeVectorIntegrationMethods, IntegrationMethodsScalarType &rTimeScalarIntegrationMethods)
	Constructor. More...

	SolutionScheme (SolutionScheme &rOther)
	Copy contructor. More...

	~SolutionScheme () override
	Destructor. More...

void	SetOptions (Flags &rOptions)
	Sets strategy options. More...

Flags &	GetOptions ()
	Get strategy options. More...

void	SetProcess (ProcessPointerType pProcess)
	Set process to execute after move_mesh. More...

void	SetProcessVector (ProcessPointerVectorType &rProcessVector)
	Set list of processes to execute after move_mesh. More...

	KRATOS_CLASS_POINTER_DEFINITION (SolutionScheme)
	Pointer definition of SolutionScheme. More...

void	SetDefaultFlags ()
	SetDefaultSchemeFlags. More...

virtual void	FinalizeSolutionStep (ModelPart &rModelPart)
	Performs all the required operations that should be done (for each step) after solving the solution step. More...

virtual void	InitializeNonLinearIteration (ModelPart &rModelPart)
	Performs all the required operations that should be done (for each iteration) before solving a solution iteration. More...

virtual void	FinalizeNonLinearIteration (ModelPart &rModelPart)
	Performs all the required operations that should be done (for each iteration) after solving a solution iteration. More...

virtual void	Predict (ModelPart &rModelPart, DofsArrayType &rDofSet, SystemVectorType &rDx)
	Performing the prediction of the solution. More...

virtual void	UpdateDofs (ModelPart &rModelPart, DofsArrayType &rDofSet, SystemVectorType &rDx)
	Performing the update of the solution Dofs. More...

virtual void	UpdateVariables (ModelPart &rModelPart)
	Performing the update of the solution variables. More...

virtual void	PredictVariables (ModelPart &rModelPart)
	Performing the prediction of the solution variables. More...

virtual void	MoveMesh (ModelPart &rModelPart)
	This function is designed to move the mesh. More...

virtual void	Clear (Element::Pointer rCurrentElement)
	Liberates internal storage for an element. More...

virtual void	Clear (Condition::Pointer rCurrentCondition)
	Liberates internal storage for a condition. More...

virtual void	Clear ()
	Liberates internal storage. More...

virtual void	CalculateSystemContributions (Element::Pointer pCurrentElement, LocalSystemMatrixType &rLHS_Contribution, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	Calculate_LHS_Contribution (Element::Pointer pCurrentElement, LocalSystemMatrixType &rLHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	EquationId (Element::Pointer pCurrentElement, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	Condition_CalculateSystemContributions (Condition::Pointer pCurrentCondition, LocalSystemMatrixType &rLHS_Contribution, LocalSystemVectorType &rRHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	Condition_Calculate_LHS_Contribution (Condition::Pointer pCurrentCondition, LocalSystemMatrixType &rLHS_Contribution, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	Condition_EquationId (Condition::Pointer pCurrentCondition, Element::EquationIdVectorType &rEquationId, ProcessInfo &rCurrentProcessInfo)

virtual void	GetElementalDofList (Element::Pointer pCurrentElement, Element::DofsVectorType &rElementalDofList, ProcessInfo &rCurrentProcessInfo)

virtual void	GetConditionDofList (Condition::Pointer pCurrentCondition, Element::DofsVectorType &rConditionDofList, ProcessInfo &rCurrentProcessInfo)

Public Member Functions inherited from Kratos::Flags
Flags &	operator= (Flags const &rOther)
	Assignment operator. More...

	operator bool () const

Flags	operator~ () const

bool	operator! () const

void	AssignFlags (Flags const &rOther)

void	Set (const Flags ThisFlag)

void	Set (const Flags ThisFlag, bool Value)

void	Reset (const Flags ThisFlag)

void	Flip (const Flags ThisFlag)

void	SetPosition (IndexType Position, bool Value=true)

bool	GetPosition (IndexType Position) const

void	FlipPosition (IndexType Position)

void	ClearPosition (IndexType Position)

void	Clear ()

Flags	AsFalse () const

bool	Is (Flags const &rOther) const

bool	IsDefined (Flags const &rOther) const

bool	IsNot (Flags const &rOther) const

bool	IsNotDefined (Flags const &rOther) const

virtual std::string	Info () const
	Turn back information as a string. More...

virtual void	PrintInfo (std::ostream &rOStream) const
	Print information about this object. More...

virtual void	PrintData (std::ostream &rOStream) const
	Print object's data. More...

	KRATOS_CLASS_POINTER_DEFINITION (Flags)
	Pointer definition of Flags. More...

const Flags &	operator\|= (const Flags &Other)

const Flags &	operator&= (const Flags &Other)

	Flags ()
	Default constructor. More...

	Flags (Flags const &rOther)
	Copy constructor. More...

virtual	~Flags ()
	Destructor. More...

Public Member Functions inherited from Kratos::Scheme< TSparseSpace, TDenseSpace >
	Scheme ()
	Default Constructor. More...

	Scheme (Parameters ThisParameters)
	Constructor with Parameters. More...

	Scheme (Scheme &rOther)

virtual	~Scheme ()

virtual std::string	Info () const
	Turn back information as a string. More...

virtual void	PrintInfo (std::ostream &rOStream) const
	Print information about this object. More...

virtual void	PrintData (std::ostream &rOStream) const
	Print object's data. More...

	KRATOS_CLASS_POINTER_DEFINITION (Scheme)
	Pointer definition of Scheme. More...

virtual ClassType::Pointer	Create (Parameters ThisParameters) const
	Create method. More...

bool	SchemeIsInitialized ()
	This method returns if the scheme is initialized. More...

void	SetSchemeIsInitialized (bool SchemeIsInitializedFlag=true)
	This method sets if the elements have been initialized or not (true by default) More...

bool	ElementsAreInitialized ()
	This method returns if the elements are initialized. More...

void	SetElementsAreInitialized (bool ElementsAreInitializedFlag=true)
	This method sets if the elements have been initialized or not (true by default) More...

bool	ConditionsAreInitialized ()
	This method returns if the conditions are initialized. More...

void	SetConditionsAreInitialized (bool ConditionsAreInitializedFlag=true)
	This method sets if the conditions have been initialized or not (true by default) More...

virtual void	InitializeElements (ModelPart &rModelPart)
	This is the place to initialize the elements. More...

virtual void	InitializeConditions (ModelPart &rModelPart)
	This is the place to initialize the conditions. More...

virtual void	FinalizeSolutionStep (ModelPart &rModelPart, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b)
	Function called once at the end of a solution step, after convergence is reached if an iterative process is needed. More...

virtual void	InitializeNonLinIteration (ModelPart &rModelPart, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b)
	unction to be called when it is needed to initialize an iteration. It is designed to be called at the beginning of each non linear iteration More...

virtual void	FinalizeNonLinIteration (ModelPart &rModelPart, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b)
	Function to be called when it is needed to finalize an iteration. It is designed to be called at the end of each non linear iteration. More...

virtual void	CalculateOutputData (ModelPart &rModelPart, DofsArrayType &rDofSet, TSystemMatrixType &A, TSystemVectorType &Dx, TSystemVectorType &b)
	Functions to be called to prepare the data needed for the output of results. More...

virtual void	CleanOutputData ()
	Functions that cleans the results data. More...

virtual void	Clean ()
	This function is intended to be called at the end of the solution step to clean up memory storage not needed after the end of the solution step. More...

virtual void	Clear ()
	Liberate internal storage. More...

virtual void	CalculateSystemContributions (Element &rElement, LocalSystemMatrixType &LHS_Contribution, LocalSystemVectorType &RHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to be called in the builder and solver to introduce the selected time integration scheme. More...

virtual void	CalculateSystemContributions (Condition &rCondition, LocalSystemMatrixType &LHS_Contribution, LocalSystemVectorType &RHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo)
	Functions totally analogous to the precedent but applied to the "condition" objects. More...

virtual void	CalculateLHSContribution (Element &rElement, LocalSystemMatrixType &LHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to calculate just the LHS contribution. More...

virtual void	CalculateLHSContribution (Condition &rCondition, LocalSystemMatrixType &LHS_Contribution, Element::EquationIdVectorType &rEquationIdVector, const ProcessInfo &rCurrentProcessInfo)
	Functions totally analogous to the precedent but applied to the "condition" objects. More...

virtual void	EquationId (const Element &rElement, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo)
	This method gets the eqaution id corresponding to the current element. More...

virtual void	EquationId (const Condition &rCondition, Element::EquationIdVectorType &rEquationId, const ProcessInfo &rCurrentProcessInfo)
	Functions totally analogous to the precedent but applied to the "condition" objects. More...

virtual void	GetDofList (const Element &rElement, Element::DofsVectorType &rDofList, const ProcessInfo &rCurrentProcessInfo)
	Function that returns the list of Degrees of freedom to be assembled in the system for a Given element. More...

virtual void	GetDofList (const Condition &rCondition, Element::DofsVectorType &rDofList, const ProcessInfo &rCurrentProcessInfo)
	Function that returns the list of Degrees of freedom to be assembled in the system for a Given condition. More...

virtual Parameters	GetDefaultParameters () const
	This method provides the defaults parameters to avoid conflicts between the different constructors. More...

Protected Member Functions
Protected Operations
void	InitializeResidual (ModelPart &rModelPart)

void	CalculateDeltaTime (ModelPart &rModelPart)

void	InitializeExplicitScheme (ModelPart &rModelPart)

void	SchemeCustomInitialization (ModelPart &rModelPart)

void	AddDynamicsToRHS (Element::Pointer rCurrentElement, LocalSystemVectorType &rRHS_Contribution, LocalSystemMatrixType &rD, ProcessInfo &rCurrentProcessInfo)

void	AddDynamicsToRHS (Condition::Pointer rCurrentCondition, LocalSystemVectorType &rRHS_Contribution, LocalSystemMatrixType &rD, ProcessInfo &rCurrentProcessInfo)

void	GetFirstDerivativesVector (Element::Pointer rCurrentElement, Vector &rValues)

void	GetFirstDerivativesVector (Condition::Pointer rCurrentCondition, Vector &rValues)

Protected Member Functions inherited from Kratos::SolutionScheme< TSparseSpace, TDenseSpace >
virtual void	InitializeElements (ModelPart &rModelPart)
	Initialize the elements. More...

virtual void	InitializeConditions (ModelPart &rModelPart)
	Initialize the conditions. More...

virtual void	InitializeNonLinearIteration (Condition::Pointer rCurrentCondition, ProcessInfo &rCurrentProcessInfo)
	Initialize the conditions. More...

virtual void	InitializeNonLinearIteration (Element::Pointer rCurrentElement, ProcessInfo &rCurrentProcessInfo)
	Initialize the elements. More...

virtual void	IntegrationMethodUpdate (NodeType &rNode)

virtual void	IntegrationMethodPredict (NodeType &rNode)

Protected Member Functions inherited from Kratos::Scheme< TSparseSpace, TDenseSpace >
virtual Parameters	ValidateAndAssignParameters (Parameters ThisParameters, const Parameters DefaultParameters) const
	This method validate and assign default parameters. More...

virtual void	AssignSettings (const Parameters ThisParameters)
	This method assigns settings to member variables. More...

Protected Attributes
Protected member Variables
std::vector< Matrix >	mMatrix

std::vector< Vector >	mVector

TimeVariables	mTime

DeltaTimeParameters	mDeltaTime
	This struct contains the details of the time variables. More...

Protected Attributes inherited from Kratos::SolutionScheme< TSparseSpace, TDenseSpace >
Flags	mOptions

IntegrationMethodsVectorType	mTimeVectorIntegrationMethods

IntegrationMethodsScalarType	mTimeScalarIntegrationMethods

ProcessPointerVectorType	mProcesses

Protected Attributes inherited from Kratos::Scheme< TSparseSpace, TDenseSpace >
bool	mSchemeIsInitialized

bool	mElementsAreInitialized
	Flag to be used in controlling if the Scheme has been initialized or not. More...

bool	mConditionsAreInitialized
	Flag taking in account if the elements were initialized correctly or not. More...

Type Definitions
typedef SolutionScheme< TSparseSpace, TDenseSpace >	BaseType

typedef BaseType::SolutionSchemePointerType	BasePointerType

typedef BaseType::LocalFlagType	LocalFlagType

typedef BaseType::DofsArrayType	DofsArrayType

typedef BaseType::SystemMatrixType	SystemMatrixType

typedef BaseType::SystemVectorType	SystemVectorType

typedef BaseType::LocalSystemVectorType	LocalSystemVectorType

typedef BaseType::LocalSystemMatrixType	LocalSystemMatrixType

typedef ModelPart::NodesContainerType	NodesContainerType

typedef ModelPart::ElementsContainerType	ElementsContainerType

typedef ModelPart::ConditionsContainerType	ConditionsContainerType

typedef Scheme< TSparseSpace, TDenseSpace >	BaseType
	The definition of the base type. More...

typedef BaseType::DofsArrayType	DofsArrayType
	Some definitions related with the base class. More...

typedef BaseType::TSystemMatrixType	TSystemMatrixType

typedef BaseType::TSystemVectorType	TSystemVectorType

typedef BaseType::LocalSystemVectorType	LocalSystemVectorType

typedef ModelPart::ElementsContainerType	ElementsArrayType
	The arrays of elements and nodes. More...

typedef ModelPart::NodesContainerType	NodesArrayType

typedef std::size_t	SizeType
	Definition of the size type. More...

typedef std::size_t	IndexType
	Definition of the index type. More...

typedef ModelPart::NodeIterator	NodeIterator
	Definition fo the node iterator. More...

static constexpr double	numerical_limit = std::numeric_limits<double>::epsilon()
	The definition of the numerical limit. More...

	KRATOS_CLASS_POINTER_DEFINITION (ExplicitCentralDifferencesScheme)

	KRATOS_CLASS_POINTER_DEFINITION (ExplicitCentralDifferencesScheme)
	Counted pointer of ExplicitCentralDifferencesScheme. More...

Additional Inherited Members
Public Types inherited from Kratos::SolutionScheme< TSparseSpace, TDenseSpace >
typedef SolutionScheme< TSparseSpace, TDenseSpace >	SolutionSchemeType

typedef SolutionSchemeType::Pointer	SolutionSchemePointerType

typedef SolverLocalFlags	LocalFlagType

typedef ModelPart::DofsArrayType	DofsArrayType

typedef TSparseSpace::MatrixType	SystemMatrixType

typedef TSparseSpace::VectorType	SystemVectorType

typedef TDenseSpace::MatrixType	LocalSystemMatrixType

typedef TDenseSpace::VectorType	LocalSystemVectorType

typedef ModelPart::NodesContainerType	NodesContainerType

typedef ModelPart::ElementsContainerType	ElementsContainerType

typedef ModelPart::ConditionsContainerType	ConditionsContainerType

typedef ModelPart::NodeType	NodeType

typedef array_1d< double, 3 >	VectorType

typedef Variable< VectorType >	VariableVectorType

typedef TimeIntegrationMethod< VariableVectorType, VectorType >	IntegrationVectorType

typedef IntegrationVectorType::Pointer	IntegrationVectorPointerType

typedef std::vector< IntegrationVectorPointerType >	IntegrationMethodsVectorType

typedef Variable< double >	VariableScalarType

typedef TimeIntegrationMethod< VariableScalarType, double >	IntegrationScalarType

typedef IntegrationScalarType::Pointer	IntegrationScalarPointerType

typedef std::vector< IntegrationScalarPointerType >	IntegrationMethodsScalarType

typedef SolverProcess::Pointer	ProcessPointerType

typedef std::vector< ProcessPointerType >	ProcessPointerVectorType

Public Types inherited from Kratos::Flags
enum	FlagsList { Flag0 = BlockType(1) , Flag1 = BlockType(1) << 1 , Flag2 = BlockType(1) << 2 , Flag3 = BlockType(1) << 3 , Flag4 = BlockType(1) << 4 , Flag5 = BlockType(1) << 5 , Flag6 = BlockType(1) << 6 , Flag7 = BlockType(1) << 7 , Flag8 = BlockType(1) << 8 , Flag9 = BlockType(1) << 9 , Flag10 = BlockType(1) << 10 , Flag11 = BlockType(1) << 11 , Flag12 = BlockType(1) << 12 , Flag13 = BlockType(1) << 13 , Flag14 = BlockType(1) << 14 , Flag15 = BlockType(1) << 15 , Flag16 = BlockType(1) << 16 , Flag17 = BlockType(1) << 17 , Flag18 = BlockType(1) << 18 , Flag19 = BlockType(1) << 19 , Flag20 = BlockType(1) << 20 , Flag21 = BlockType(1) << 21 , Flag22 = BlockType(1) << 22 , Flag23 = BlockType(1) << 23 , Flag24 = BlockType(1) << 24 , Flag25 = BlockType(1) << 25 , Flag26 = BlockType(1) << 26 , Flag27 = BlockType(1) << 27 , Flag28 = BlockType(1) << 28 , Flag29 = BlockType(1) << 29 , Flag30 = BlockType(1) << 30 }

typedef int64_t	BlockType

typedef int64_t	FlagType

typedef std::size_t	IndexType

Public Types inherited from Kratos::Scheme< TSparseSpace, TDenseSpace >
using	ClassType = Scheme< TSparseSpace, TDenseSpace >
	The definition of the current class. More...

using	TDataType = typename TSparseSpace::DataType
	Data type definition. More...

using	TSystemMatrixType = typename TSparseSpace::MatrixType
	Matrix type definition. More...

using	TSystemVectorType = typename TSparseSpace::VectorType
	Vector type definition. More...

using	LocalSystemMatrixType = typename TDenseSpace::MatrixType
	Local system matrix type definition. More...

using	LocalSystemVectorType = typename TDenseSpace::VectorType
	Local system vector type definition. More...

using	TDofType = Dof< double >
	DoF type definition. More...

using	DofsArrayType = ModelPart::DofsArrayType
	DoF array type definition. More...

using	ElementsArrayType = ModelPart::ElementsContainerType
	Elements containers definition. More...

using	ConditionsArrayType = ModelPart::ConditionsContainerType
	Conditions containers definition. More...

Static Public Member Functions inherited from Kratos::SolutionScheme< TSparseSpace, TDenseSpace >
static void	SetSolution (ModelPart &rModelPart, DofsArrayType &rDofSet, SystemVectorType &rDx)
	Performing the update of the solution Dofs (total solution) More...

static void	AddSolution (ModelPart &rModelPart, DofsArrayType &rDofSet, SystemVectorType &rDx)
	Performing the update of the solution Dofs (incremental solution) More...

Static Public Member Functions inherited from Kratos::Flags
static const Flags	AllDefined ()

static const Flags	AllTrue ()

static Flags	Create (IndexType ThisPosition, bool Value=true)

Static Public Member Functions inherited from Kratos::Scheme< 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 Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >

An explicit central difference scheme.

This scheme is quite known, and can be consulted from different sources For example from Wikipedia: https://en.wikipedia.org/wiki/Central_differencing_scheme

Author: Klaus B Sautter

Member Typedef Documentation

◆ BasePointerType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::SolutionSchemePointerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::BasePointerType

◆ BaseType [1/2]

template<class TSparseSpace , class TDenseSpace >

typedef SolutionScheme<TSparseSpace,TDenseSpace> Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::BaseType

◆ BaseType [2/2]

template<class TSparseSpace , class TDenseSpace >

typedef Scheme<TSparseSpace, TDenseSpace> Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::BaseType

The definition of the base type.

◆ ConditionsContainerType

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::ConditionsContainerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ConditionsContainerType

◆ DofsArrayType [1/2]

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::DofsArrayType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::DofsArrayType

◆ DofsArrayType [2/2]

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::DofsArrayType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::DofsArrayType

Some definitions related with the base class.

◆ ElementsArrayType

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::ElementsContainerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ElementsArrayType

The arrays of elements and nodes.

◆ ElementsContainerType

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::ElementsContainerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ElementsContainerType

◆ IndexType

template<class TSparseSpace , class TDenseSpace >

typedef std::size_t Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::IndexType

Definition of the index type.

◆ LocalFlagType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::LocalFlagType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::LocalFlagType

◆ LocalSystemMatrixType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::LocalSystemMatrixType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::LocalSystemMatrixType

◆ LocalSystemVectorType [1/2]

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::LocalSystemVectorType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::LocalSystemVectorType

◆ LocalSystemVectorType [2/2]

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::LocalSystemVectorType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::LocalSystemVectorType

◆ NodeIterator

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::NodeIterator Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::NodeIterator

Definition fo the node iterator.

◆ NodesArrayType

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::NodesContainerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::NodesArrayType

◆ NodesContainerType

template<class TSparseSpace , class TDenseSpace >

typedef ModelPart::NodesContainerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::NodesContainerType

◆ SizeType

template<class TSparseSpace , class TDenseSpace >

typedef std::size_t Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::SizeType

Definition of the size type.

◆ SystemMatrixType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::SystemMatrixType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::SystemMatrixType

◆ SystemVectorType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::SystemVectorType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::SystemVectorType

◆ TSystemMatrixType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::TSystemMatrixType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::TSystemMatrixType

◆ TSystemVectorType

template<class TSparseSpace , class TDenseSpace >

typedef BaseType::TSystemVectorType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::TSystemVectorType

Constructor & Destructor Documentation

◆ ExplicitCentralDifferencesScheme() [1/4]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ExplicitCentralDifferencesScheme	(	Flags &	rOptions,
		const double	rMaximumDeltaTime,
		const double	rDeltaTimeFraction,
		const double	rDeltaTimePredictionLevel
	)

inline

Default constructors.

◆ ExplicitCentralDifferencesScheme() [2/4]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ExplicitCentralDifferencesScheme ( ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace > & rOther )

inline

Copy constructor.

◆ ~ExplicitCentralDifferencesScheme() [1/2]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::~ExplicitCentralDifferencesScheme ( )

inlineoverride

Destructor.

◆ ExplicitCentralDifferencesScheme() [3/4]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ExplicitCentralDifferencesScheme	(	const double	MaximumDeltaTime,
		const double	DeltaTimeFraction,
		const double	DeltaTimePredictionLevel
	)

inline

Default constructor.

The ExplicitCentralDifferencesScheme method

Parameters

MaximumDeltaTime	The maximum delta time to be considered
DeltaTimeFraction	The delta ttime fraction
DeltaTimePredictionLevel	The prediction level

◆ ExplicitCentralDifferencesScheme() [4/4]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::ExplicitCentralDifferencesScheme ( Parameters rParameters = Parameters(R"({})") )

inline

Constructor with parameters.

The ExplicitCentralDifferencesScheme method

Parameters

rParameters The parameters containing the configuration parameters

Warning: time_step_prediction_level should be an integer

◆ ~ExplicitCentralDifferencesScheme() [2/2]

template<class TSparseSpace , class TDenseSpace >

virtual Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::~ExplicitCentralDifferencesScheme ( )

inlinevirtual

Destructor.

Member Function Documentation

◆ AddDynamicsToRHS() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::AddDynamicsToRHS	(	Condition::Pointer	rCurrentCondition,
		LocalSystemVectorType &	rRHS_Contribution,
		LocalSystemMatrixType &	rD,
		ProcessInfo &	rCurrentProcessInfo
	)

inlineprotected

It adds the dynamic RHS contribution of the condition: b - D*v

Parameters

rCurrentCondition	The condition to compute
rRHS_Contribution	The dynamic contribution for the RHS
rD	The damping matrix
rCurrentProcessInfo	The current process info instance

◆ AddDynamicsToRHS() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::AddDynamicsToRHS	(	Element::Pointer	rCurrentElement,
		LocalSystemVectorType &	rRHS_Contribution,
		LocalSystemMatrixType &	rD,
		ProcessInfo &	rCurrentProcessInfo
	)

inlineprotected

It adds the dynamic RHS contribution of the condition: b - D*v

Parameters

rCurrentElement	The element to compute
rRHS_Contribution	The dynamic contribution for the RHS
rD	The damping matrix
rCurrentProcessInfo	The current process info instance

◆ Calculate_RHS_Contribution()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Calculate_RHS_Contribution	(	Element::Pointer	rCurrentElement,
		LocalSystemVectorType &	rRHS_Contribution,
		Element::EquationIdVectorType &	rEquationId,
		ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

Functions that calculates the RHS of a "element" object

Parameters

rCurrentElement	The element to compute
rRHS_Contribution	The RHS vector contribution
rEquationId	The ID's of the condition degrees of freedom
rCurrentProcessInfo	The current process info instance

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

◆ CalculateAndAddRHS()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::CalculateAndAddRHS ( ModelPart & rModelPart )

inline

◆ CalculateDeltaTime()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::CalculateDeltaTime ( ModelPart & rModelPart )

inlineprotected

◆ CalculateRHSContribution() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::CalculateRHSContribution	(	Condition &	rCurrentCondition,
		LocalSystemVectorType &	RHS_Contribution,
		Element::EquationIdVectorType &	EquationId,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

Functions that calculates the RHS of a "condition" object.

Parameters

rCurrentCondition	The condition to compute
RHS_Contribution	The RHS vector contribution
EquationId	The ID's of the condition degrees of freedom
rCurrentProcessInfo	The current process info instance

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

◆ CalculateRHSContribution() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::CalculateRHSContribution	(	Element &	rCurrentElement,
		LocalSystemVectorType &	RHS_Contribution,
		Element::EquationIdVectorType &	EquationId,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

This function is designed to calculate just the RHS contribution.

Parameters

rCurrentElement	The element to compute
RHS_Contribution	The RHS vector contribution
EquationId	The ID's of the element degrees of freedom
rCurrentProcessInfo	The current process info instance

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

◆ Check() [1/2]

template<class TSparseSpace , class TDenseSpace >

int Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Check ( const ModelPart & rModelPart ) const

inlineoverridevirtual

This function is designed to be called once to perform all the checks needed on the input provided.

Checks can be "expensive" as the function is designed to catch user's errors.

Parameters

rModelPart The model of the problem to solve

Returns: Zero means all ok

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

◆ Check() [2/2]

template<class TSparseSpace , class TDenseSpace >

int Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Check ( ModelPart & rModelPart )

inlineoverridevirtual

This function is designed to be called once to perform all the checks needed on the input provided. Checks can be "expensive" as the function is designed to catch user's errors.

Parameters

rModelPart

Returns: 0 all ok

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

◆ Clone()

template<class TSparseSpace , class TDenseSpace >

BasePointerType Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Clone ( )

inlineoverridevirtual

Clone.

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

◆ Condition_Calculate_RHS_Contribution()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Condition_Calculate_RHS_Contribution	(	Condition::Pointer	rCurrentCondition,
		LocalSystemVectorType &	rRHS_Contribution,
		Element::EquationIdVectorType &	rEquationId,
		ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

Functions that calculates the RHS of a "condition" object

Parameters

rCurrentCondition	The condition to compute
rRHS_Contribution	The RHS vector contribution
rEquationId	The ID's of the condition degrees of freedom
rCurrentProcessInfo	The current process info instance

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

◆ GetFirstDerivativesVector() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::GetFirstDerivativesVector	(	Condition::Pointer	rCurrentCondition,
		Vector &	rValues
	)

inlineprotected

Obtain explicit first derivatives (velocity)

◆ GetFirstDerivativesVector() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::GetFirstDerivativesVector	(	Element::Pointer	rCurrentElement,
		Vector &	rValues
	)

inlineprotected

Obtain explicit first derivatives (velocity)

◆ Initialize() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Initialize ( ModelPart & rModelPart )

inlineoverridevirtual

This is the place to initialize the Scheme.

This is intended to be called just once when the strategy is initialized

Parameters

rModelPart The model part of the problem to solve

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

◆ Initialize() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Initialize ( ModelPart & rModelPart )

inlineoverridevirtual

This is the place to initialize the Scheme. This is intended to be called just once when the strategy is initialized.

Parameters

rModelPart The model of the problem to solve

Working in 2D/3D (the definition of DOMAIN_SIZE is check in the Check method)

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

◆ InitializeExplicitScheme() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeExplicitScheme ( ModelPart & rModelPart )

inlineprotected

◆ InitializeExplicitScheme() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeExplicitScheme	(	ModelPart &	rModelPart,
		const SizeType	DomainSize = `3`
	)

inline

This method initializes some rutines related with the explicit scheme.

Parameters

rModelPart	The model of the problem to solve
DomainSize	The current dimention of the problem

The array of ndoes

Initialize all nodes

◆ InitializeResidual() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeResidual ( ModelPart & rModelPart )

inlineprotected

◆ InitializeResidual() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeResidual ( ModelPart & rModelPart )

inline

This method initializes the residual in the nodes of the model part.

Parameters

rModelPart The model of the problem to solve

◆ InitializeSolutionStep() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeSolutionStep ( ModelPart & rModelPart )

inlineoverridevirtual

It initializes time step solution. Only for reasons if the time step solution is restarted

Parameters

rModelPart	The model of the problem to solve
rA	LHS matrix
rDx	Incremental update of primary variables
rb	RHS Vector

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

◆ InitializeSolutionStep() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::InitializeSolutionStep	(	ModelPart &	rModelPart,
		TSystemMatrixType &	rA,
		TSystemVectorType &	rDx,
		TSystemVectorType &	rb
	)

inlineoverridevirtual

It initializes time step solution. Only for reasons if the time step solution is restarted.

Parameters

rModelPart	The model of the problem to solve
rA	LHS matrix
rDx	Incremental update of primary variables
rb	RHS Vector

Todo:: I cannot find the formula for the higher orders with variable time step. I tried to deduce by myself but the result was very unstable

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

◆ KRATOS_CLASS_POINTER_DEFINITION() [1/2]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::KRATOS_CLASS_POINTER_DEFINITION ( ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace > )

◆ KRATOS_CLASS_POINTER_DEFINITION() [2/2]

template<class TSparseSpace , class TDenseSpace >

Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::KRATOS_CLASS_POINTER_DEFINITION ( ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace > )

Counted pointer of ExplicitCentralDifferencesScheme.

◆ Predict()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Predict	(	ModelPart &	rModelPart,
		DofsArrayType &	rDofSet,
		TSystemMatrixType &	A,
		TSystemVectorType &	Dx,
		TSystemVectorType &	b
	)

inlineoverridevirtual

Performing the prediction of the solution.

Warning: Must be defined in derived classes

Parameters

rModelPart	The model part of the problem to solve
A	LHS matrix
Dx	Incremental update of primary variables
b	RHS Vector

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

◆ SchemeCustomInitialization() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::SchemeCustomInitialization ( ModelPart & rModelPart )

inlineprotected

◆ SchemeCustomInitialization() [2/2]

template<class TSparseSpace , class TDenseSpace >

virtual void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::SchemeCustomInitialization	(	ModelPart &	rModelPart,
		const SizeType	DomainSize = `3`
	)

inlinevirtual

This method performs some custom operations to initialize the scheme.

Parameters

rModelPart	The model of the problem to solve
DomainSize	The current dimention of the problem

◆ Update() [1/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Update	(	ModelPart &	rModelPart,
		DofsArrayType &	rDofSet,
		SystemVectorType &	rDx
	)

inlineoverridevirtual

Performing the update of the solution. incremental update within newton iteration. It updates the state variables at the end of the time step: u_{n+1}^{k+1}= u_{n+1}^{k}+ \Delta u

Parameters

rModelPart
rDofSet	set of all primary variables
rDx	incremental update of primary variables

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

◆ Update() [2/2]

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::Update	(	ModelPart &	rModelPart,
		DofsArrayType &	rDofSet,
		TSystemMatrixType &	rA,
		TSystemVectorType &	rDx,
		TSystemVectorType &	rb
	)

inlineoverridevirtual

Performing the update of the solution.

Parameters

rModelPart	The model of the problem to solve
rDofSet	Set of all primary variables
rA	LHS matrix
rDx	incremental update of primary variables
rb	RHS Vector

Working in 2D/3D (the definition of DOMAIN_SIZE is check in the Check method)

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

◆ UpdateRotationalDegreesOfFreedom()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::UpdateRotationalDegreesOfFreedom	(	NodeIterator	itCurrentNode,
		const IndexType	RotationPosition,
		const SizeType	DomainSize = `3`
	)

inline

This method updates the rotation DoF.

Parameters

itCurrentNode	The iterator of the current node
RotationPosition	The position of the rotation dof on the database
DomainSize	The current dimention of the problem

◆ UpdateTranslationalDegreesOfFreedom()

template<class TSparseSpace , class TDenseSpace >

void Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::UpdateTranslationalDegreesOfFreedom	(	NodeIterator	itCurrentNode,
		const IndexType	DisplacementPosition,
		const SizeType	DomainSize = `3`
	)

inline

This method updates the translation DoF.

Parameters

itCurrentNode	The iterator of the current node
DisplacementPosition	The position of the displacement dof on the database
DomainSize	The current dimention of the problem

Member Data Documentation

◆ mDeltaTime

template<class TSparseSpace , class TDenseSpace >

DeltaTimeParameters Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::mDeltaTime

protected

This struct contains the details of the time variables.

◆ mMatrix

template<class TSparseSpace , class TDenseSpace >

std::vector<Matrix> Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::mMatrix

protected

◆ mTime

template<class TSparseSpace , class TDenseSpace >

TimeVariables Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::mTime

protected

◆ mVector

template<class TSparseSpace , class TDenseSpace >

std::vector<Vector> Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::mVector

protected

◆ numerical_limit

template<class TSparseSpace , class TDenseSpace >

constexpr double Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >::numerical_limit = std::numeric_limits<double>::epsilon()

staticconstexpr

The definition of the numerical limit.

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

/home/runner/work/Documentation/Documentation/master/applications/SolidMechanicsApplication/custom_solvers/solution_schemes/explicit_central_differences_scheme.hpp

Classes

Public Member Functions

Protected Member Functions

Protected Attributes

Type Definitions

Additional Inherited Members

Detailed Description

template<class TSparseSpace, class TDenseSpace> class Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >

Member Typedef Documentation

◆ BasePointerType

◆ BaseType [1/2]

◆ BaseType [2/2]

◆ ConditionsContainerType

◆ DofsArrayType [1/2]

◆ DofsArrayType [2/2]

◆ ElementsArrayType

◆ ElementsContainerType

◆ IndexType

◆ LocalFlagType

◆ LocalSystemMatrixType

◆ LocalSystemVectorType [1/2]

◆ LocalSystemVectorType [2/2]

◆ NodeIterator

◆ NodesArrayType

◆ NodesContainerType

◆ SizeType

◆ SystemMatrixType

◆ SystemVectorType

◆ TSystemMatrixType

◆ TSystemVectorType

Constructor & Destructor Documentation

◆ ExplicitCentralDifferencesScheme() [1/4]

◆ ExplicitCentralDifferencesScheme() [2/4]

◆ ~ExplicitCentralDifferencesScheme() [1/2]

◆ ExplicitCentralDifferencesScheme() [3/4]

◆ ExplicitCentralDifferencesScheme() [4/4]

◆ ~ExplicitCentralDifferencesScheme() [2/2]

Member Function Documentation

◆ AddDynamicsToRHS() [1/2]

◆ AddDynamicsToRHS() [2/2]

◆ Calculate_RHS_Contribution()

◆ CalculateAndAddRHS()

◆ CalculateDeltaTime()

◆ CalculateRHSContribution() [1/2]

◆ CalculateRHSContribution() [2/2]

◆ Check() [1/2]

◆ Check() [2/2]

◆ Clone()

◆ Condition_Calculate_RHS_Contribution()

◆ GetFirstDerivativesVector() [1/2]

◆ GetFirstDerivativesVector() [2/2]

◆ Initialize() [1/2]

◆ Initialize() [2/2]

◆ InitializeExplicitScheme() [1/2]

◆ InitializeExplicitScheme() [2/2]

◆ InitializeResidual() [1/2]

◆ InitializeResidual() [2/2]

◆ InitializeSolutionStep() [1/2]

◆ InitializeSolutionStep() [2/2]

◆ KRATOS_CLASS_POINTER_DEFINITION() [1/2]

◆ KRATOS_CLASS_POINTER_DEFINITION() [2/2]

◆ Predict()

◆ SchemeCustomInitialization() [1/2]

◆ SchemeCustomInitialization() [2/2]

◆ Update() [1/2]

◆ Update() [2/2]

◆ UpdateRotationalDegreesOfFreedom()

◆ UpdateTranslationalDegreesOfFreedom()

Member Data Documentation

◆ mDeltaTime

◆ mMatrix

◆ mTime

◆ mVector

◆ numerical_limit

template<class TSparseSpace, class TDenseSpace>
class Kratos::ExplicitCentralDifferencesScheme< TSparseSpace, TDenseSpace >