A stabilized element for the incompressible Navier-Stokes equations. More...

#include <fractional_step.h>

Inheritance diagram for Kratos::FractionalStep< TDim >:

Collaboration diagram for Kratos::FractionalStep< TDim >:

Public Member Functions
Life Cycle
	FractionalStep (IndexType NewId=0)
	Default constuctor. More...

	FractionalStep (IndexType NewId, const NodesArrayType &ThisNodes)
	Constructor using an array of nodes. More...

	FractionalStep (IndexType NewId, GeometryType::Pointer pGeometry)
	Constructor using a geometry object. More...

	FractionalStep (IndexType NewId, GeometryType::Pointer pGeometry, PropertiesType::Pointer pProperties)
	Constuctor using geometry and properties. More...

	~FractionalStep () override
	Destructor. More...

Operations
Element::Pointer	Create (IndexType NewId, NodesArrayType const &ThisNodes, Element::PropertiesType::Pointer pProperties) const override
	Create a new element of this type. More...

Element::Pointer	Create (IndexType NewId, Element::GeometryType::Pointer pGeom, Element::PropertiesType::Pointer pProperties) const override

Element::Pointer	Clone (IndexType NewId, NodesArrayType const &rThisNodes) const override

void	Initialize (const ProcessInfo &rCurrentProcessInfo) override

void	InitializeSolutionStep (const ProcessInfo &rCurrentProcessInfo) override
	Initializes the element and all geometric information required for the problem. More...

void	InitializeNonLinearIteration (const ProcessInfo &rCurrentProcessInfo) override

void	CalculateLocalSystem (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo) override
	Calculate the element's local contribution to the system for the current step. More...

void	CalculateLeftHandSide (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo) override

void	CalculateRightHandSide (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo) override

void	Calculate (const Variable< double > &rVariable, double &rOutput, const ProcessInfo &rCurrentProcessInfo) override

void	Calculate (const Variable< array_1d< double, 3 > > &rVariable, array_1d< double, 3 > &rOutput, const ProcessInfo &rCurrentProcessInfo) override

void	EquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const override
	Provides the global indices for each one of this element's local rows. More...

void	GetDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const override
	Returns a list of the element's Dofs. More...

GeometryData::IntegrationMethod	GetIntegrationMethod () const override

void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 3 > > &rVariable, std::vector< array_1d< double, 3 > > &rValues, const ProcessInfo &rCurrentProcessInfo) override
	Obtain an array_1d<double,3> elemental variable, evaluated on gauss points. More...

void	CalculateOnIntegrationPoints (const Variable< double > &rVariable, std::vector< double > &rValues, const ProcessInfo &rCurrentProcessInfo) override
	Obtain a double elemental variable, evaluated on gauss points. More...

void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 6 > > &rVariable, std::vector< array_1d< double, 6 > > &rValues, const ProcessInfo &rCurrentProcessInfo) override
	Obtain an array_1d<double,6> elemental variable, evaluated on gauss points. More...

void	CalculateOnIntegrationPoints (const Variable< Vector > &rVariable, std::vector< Vector > &rValues, const ProcessInfo &rCurrentProcessInfo) override
	Obtain a Vector elemental variable, evaluated on gauss points. More...

void	CalculateOnIntegrationPoints (const Variable< Matrix > &rVariable, std::vector< Matrix > &rValues, const ProcessInfo &rCurrentProcessInfo) override
	Obtain a Matrix elemental variable, evaluated on gauss points. More...

Elemental Data
int	Check (const ProcessInfo &rCurrentProcessInfo) const override
	Checks the input and that all required Kratos variables have been registered. More...

Input and output
const Parameters	GetSpecifications () const override
	This method provides the specifications/requirements of the element. More...

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

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

Public Member Functions inherited from Kratos::Element
	Element (IndexType NewId=0)

	Element (IndexType NewId, const NodesArrayType &ThisNodes)

	Element (IndexType NewId, GeometryType::Pointer pGeometry)

	Element (IndexType NewId, GeometryType::Pointer pGeometry, PropertiesType::Pointer pProperties)

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

	~Element () override
	Destructor. More...

Element &	operator= (Element const &rOther)
	Assignment operator. More...

virtual Pointer	Create (IndexType NewId, NodesArrayType const &ThisNodes, PropertiesType::Pointer pProperties) const
	It creates a new element pointer. More...

virtual Pointer	Create (IndexType NewId, GeometryType::Pointer pGeom, PropertiesType::Pointer pProperties) const
	It creates a new element pointer. More...

virtual void	GetValuesVector (Vector &values, int Step=0) const

virtual void	GetFirstDerivativesVector (Vector &values, int Step=0) const

virtual void	GetSecondDerivativesVector (Vector &values, int Step=0) const

virtual void	ResetConstitutiveLaw ()

virtual void	FinalizeNonLinearIteration (const ProcessInfo &rCurrentProcessInfo)

virtual void	FinalizeSolutionStep (const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesContributions (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesLHS (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateFirstDerivativesRHS (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesContributions (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesLHS (MatrixType &rLeftHandSideMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSecondDerivativesRHS (VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateMassMatrix (MatrixType &rMassMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateDampingMatrix (MatrixType &rDampingMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateLumpedMassVector (VectorType &rLumpedMassVector, const ProcessInfo &rCurrentProcessInfo) const

virtual void	AddExplicitContribution (const ProcessInfo &rCurrentProcessInfo)

virtual void	AddExplicitContribution (const VectorType &rRHSVector, const Variable< VectorType > &rRHSVariable, const Variable< double > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the double version) More...

virtual void	AddExplicitContribution (const VectorType &rRHSVector, const Variable< VectorType > &rRHSVariable, const Variable< array_1d< double, 3 > > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the vector version) More...

virtual void	AddExplicitContribution (const MatrixType &rLHSMatrix, const Variable< MatrixType > &rLHSVariable, const Variable< Matrix > &rDestinationVariable, const ProcessInfo &rCurrentProcessInfo)
	This function is designed to make the element to assemble an rRHS vector identified by a variable rRHSVariable by assembling it to the nodes on the variable rDestinationVariable. (This is the matrix version) More...

virtual void	Calculate (const Variable< Vector > &rVariable, Vector &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	Calculate (const Variable< Matrix > &rVariable, Matrix &Output, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< bool > &rVariable, std::vector< bool > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< int > &rVariable, std::vector< int > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 3 >> &rVariable, std::vector< array_1d< double, 3 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 4 >> &rVariable, std::vector< array_1d< double, 4 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 6 >> &rVariable, std::vector< array_1d< double, 6 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< array_1d< double, 9 >> &rVariable, std::vector< array_1d< double, 9 >> &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateOnIntegrationPoints (const Variable< ConstitutiveLaw::Pointer > &rVariable, std::vector< ConstitutiveLaw::Pointer > &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< bool > &rVariable, const std::vector< bool > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< int > &rVariable, const std::vector< int > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< double > &rVariable, const std::vector< double > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 3 >> &rVariable, const std::vector< array_1d< double, 3 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 4 >> &rVariable, const std::vector< array_1d< double, 4 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 6 >> &rVariable, const std::vector< array_1d< double, 6 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< array_1d< double, 9 >> &rVariable, const std::vector< array_1d< double, 9 >> &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< Vector > &rVariable, const std::vector< Vector > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< Matrix > &rVariable, const std::vector< Matrix > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	SetValuesOnIntegrationPoints (const Variable< ConstitutiveLaw::Pointer > &rVariable, const std::vector< ConstitutiveLaw::Pointer > &rValues, const ProcessInfo &rCurrentProcessInfo)

virtual void	MassMatrix (MatrixType &rMassMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	AddMassMatrix (MatrixType &rLeftHandSideMatrix, double coeff, const ProcessInfo &rCurrentProcessInfo)

virtual void	DampMatrix (MatrixType &rDampMatrix, const ProcessInfo &rCurrentProcessInfo)

virtual void	AddInertiaForces (VectorType &rRightHandSideVector, double coeff, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateLocalVelocityContribution (MatrixType &rDampingMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSensitivityMatrix (const Variable< double > &rDesignVariable, Matrix &rOutput, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateSensitivityMatrix (const Variable< array_1d< double, 3 > > &rDesignVariable, Matrix &rOutput, const ProcessInfo &rCurrentProcessInfo)

PropertiesType::Pointer	pGetProperties ()
	returns the pointer to the property of the element. Does not throw an error, to allow copying of elements which don't have any property assigned. More...

const PropertiesType::Pointer	pGetProperties () const

PropertiesType &	GetProperties ()

PropertiesType const &	GetProperties () const

void	SetProperties (PropertiesType::Pointer pProperties)

bool	HasProperties () const
	Check that the Element has a correctly initialized pointer to a Properties instance. More...

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

	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (Element)

Public Member Functions inherited from Kratos::GeometricalObject
	GeometricalObject (IndexType NewId=0)
	Default constructor. More...

	GeometricalObject (IndexType NewId, GeometryType::Pointer pGeometry)
	Default constructor. More...

	~GeometricalObject () override
	Destructor. More...

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

GeometricalObject &	operator= (GeometricalObject const &rOther)
	Assignment operator. More...

virtual void	SetGeometry (GeometryType::Pointer pGeometry)
	Sets the pointer to the geometry. More...

GeometryType::Pointer	pGetGeometry ()
	Returns the pointer to the geometry. More...

const GeometryType::Pointer	pGetGeometry () const
	Returns the pointer to the geometry (const version) More...

GeometryType &	GetGeometry ()
	Returns the reference of the geometry. More...

GeometryType const &	GetGeometry () const
	Returns the reference of the geometry (const version) More...

Flags &	GetFlags ()
	Returns the flags of the object. More...

Flags const &	GetFlags () const
	Returns the flags of the object (const version) More...

void	SetFlags (Flags const &rThisFlags)
	Sets the flags of the object. More...

DataValueContainer &	Data ()

DataValueContainer &	GetData ()

DataValueContainer const &	GetData () const

void	SetData (DataValueContainer const &rThisData)

template<class TDataType >
bool	Has (const Variable< TDataType > &rThisVariable) const

template<class TVariableType >
void	SetValue (const TVariableType &rThisVariable, typename TVariableType::Type const &rValue)

template<class TVariableType >
TVariableType::Type &	GetValue (const TVariableType &rThisVariable)

template<class TVariableType >
TVariableType::Type const &	GetValue (const TVariableType &rThisVariable) const

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

unsigned int	use_count () const noexcept

	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (GeometricalObject)
	Pointer definition of GeometricalObject. More...

bool	IsActive () const
	Checks if the GeometricalObject is active. More...

Public Member Functions inherited from Kratos::IndexedObject
	IndexedObject (IndexType NewId=0)
	Default constructor. More...

virtual	~IndexedObject ()
	Destructor. More...

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

IndexedObject &	operator= (IndexedObject const &rOther)
	Assignment operator. More...

template<class TObjectType >
IndexType	operator() (TObjectType const &rThisObject) const

IndexType	Id () const

IndexType	GetId () const

virtual void	SetId (IndexType NewId)

IndexType &	DepricatedIdAccess ()
	TODO: remove this function when removing data_file_io object. More...

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

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

	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...

Protected Member Functions
void	VelocityEquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const

void	VelocityEquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const

void	GetVelocityDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const

void	GetVelocityDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const

void	GetVelocityValues (Vector &rValues, const int Step) const

void	GetVelocityValues (Vector &rValues, const int Step) const

void	AddViscousTerm (MatrixType &rDampingMatrix, const ShapeFunctionDerivativesType &rShapeDeriv, const double Weight)

void	AddViscousTerm (MatrixType &rDampingMatrix, const ShapeFunctionDerivativesType &rShapeDeriv, const double Weight)

Protected Operations
virtual void	CalculateLocalFractionalVelocitySystem (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

virtual void	CalculateLocalPressureSystem (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

void	CalculateEndOfStepSystem (MatrixType &rLeftHandSideMatrix, VectorType &rRightHandSideVector, const ProcessInfo &rCurrentProcessInfo)

void	VelocityEquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const

void	PressureEquationIdVector (EquationIdVectorType &rResult, const ProcessInfo &rCurrentProcessInfo) const

void	GetVelocityDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const

void	GetPressureDofList (DofsVectorType &rElementalDofList, const ProcessInfo &rCurrentProcessInfo) const

void	GetPressureValues (Vector &rValues, const int Step=0) const

void	GetVelocityValues (Vector &rValues, const int Step=0) const

virtual void	CalculateGeometryData (ShapeFunctionDerivativesArrayType &rDN_DX, Matrix &rNContainer, Vector &rGaussWeights)
	Determine integration point weights and shape funcition derivatives from the element's geometry. More...

double	ElementSize ()

virtual double	EffectiveViscosity (double Density, const ShapeFunctionsType &rN, const ShapeFunctionDerivativesType &rDN_DX, double ElemSize, const ProcessInfo &rProcessInfo)
	EffectiveViscosity Calculate the viscosity at given integration point, using Smagorinsky if enabled. More...

double	EquivalentStrainRate (const ShapeFunctionDerivativesType &rDN_DX) const
	EquivalentStrainRate Calculate the second invariant of the strain rate tensor GammaDot = (2SijSij)^0.5. More...

void	AddMomentumMassTerm (Matrix &rMassMatrix, const ShapeFunctionsType &rN, const double Weight)
	Add integration point contribution to the mass matrix. More...

virtual void	AddMomentumSystemTerms (Matrix &rLHSMatrix, Vector &rRHSVector, const double Density, const Vector &rConvOperator, const array_1d< double, 3 > &rBodyForce, const double OldPressure, const double TauOne, const double TauTwo, const array_1d< double, 3 > &rMomentumProjection, const double MassProjection, const ShapeFunctionsType &rN, const ShapeFunctionDerivativesType &rDN_DX, const double Weight)

void	AddViscousTerm (MatrixType &rDampingMatrix, const ShapeFunctionDerivativesType &rShapeDeriv, const double Weight)

virtual void	CalculateTau (double &TauOne, double &TauTwo, double ElemSize, const array_1d< double, 3 > &rAdvVel, const double Density, const double Viscosity, const ProcessInfo &rCurrentProcessInfo)
	Calculate Stabilization parameters. More...

virtual void	CalculateProjectionRHS (VectorType &rMomentumRHS, VectorType &rMassRHS, const ShapeFunctionsType &rN, const ShapeFunctionDerivativesType &rDN_DX, const double Weight)

virtual void	CalculateProjectionRHS (VectorType &rConvTerm, VectorType &rPresTerm, VectorType &rDivTerm, const ShapeFunctionsType &rN, const ShapeFunctionDerivativesType &rDN_DX, const double Weight)

void	ModulatedGradientDiffusion (MatrixType &rDampingMatrix, const ShapeFunctionDerivativesType &rDN_DX, const double Weight)

void	ConvectionOperator (Vector &rResult, const array_1d< double, 3 > &rConvVel, const ShapeFunctionDerivativesType &DN_DX)
	Write the convective operator evaluated at this point (for each nodal funciton) to an array. More...

virtual void	EvaluateConvVelocity (array_1d< double, 3 > &rConvVel, const ShapeFunctionsType &N)
	Evaluate ALE convective velocity (velocity-mesh velocity) at a given point. More...

template<class TVariableType >
void	EvaluateInPoint (TVariableType &rResult, const Kratos::Variable< TVariableType > &Var, const ShapeFunctionsType &rShapeFunc)
	Write the value of a variable at a point inside the element to a double. More...

template<class TVariableType >
void	EvaluateInPoint (TVariableType &rResult, const Kratos::Variable< TVariableType > &Var, const ShapeFunctionsType &rShapeFunc, const IndexType Step)
	Write the value of a variable at a point inside the element to a double. More...

void	EvaluateGradientInPoint (array_1d< double, TDim > &rResult, const Kratos::Variable< double > &Var, const ShapeFunctionDerivativesType &rDN_DX)

void	EvaluateDivergenceInPoint (double &rResult, const Kratos::Variable< array_1d< double, 3 > > &Var, const ShapeFunctionDerivativesType &rDN_DX)

template<class TValueType >
void	GetElementalValueForOutput (const Kratos::Variable< TValueType > &rVariable, std::vector< TValueType > &rOutput)
	Helper function to print results on gauss points. More...

Type Definitions
typedef Node	NodeType
	Node type (default is: Node) More...

typedef Geometry< NodeType >	GeometryType
	Geometry type (using with given NodeType) More...

typedef Geometry< NodeType >::PointsArrayType	NodesArrayType
	Definition of nodes container type, redefined from GeometryType. More...

typedef Vector	VectorType
	Vector type for local contributions to the linear system. More...

typedef Matrix	MatrixType
	Matrix type for local contributions to the linear system. More...

typedef std::size_t	IndexType

typedef std::size_t	SizeType

typedef std::vector< std::size_t >	EquationIdVectorType

typedef std::vector< Dof< double >::Pointer >	DofsVectorType

typedef PointerVectorSet< Dof< double >, IndexedObject >	DofsArrayType

typedef Kratos::Vector	ShapeFunctionsType
	Type for shape function values container. More...

typedef Kratos::Matrix	ShapeFunctionDerivativesType
	Type for a matrix containing the shape function gradients. More...

typedef GeometryType::ShapeFunctionsGradientsType	ShapeFunctionDerivativesArrayType
	Type for an array of shape function gradient matrices. More...

	KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION (FractionalStep)
	Pointer definition of FractionalStep. More...

Serialization
class	Serializer

Additional Inherited Members
Public Types inherited from Kratos::Element
typedef Element	ElementType
	definition of element type More...

typedef GeometricalObject	BaseType
	base type: an GeometricalObject that automatically has a unique number More...

typedef Node	NodeType
	definition of node type (default is: Node) More...

typedef Properties	PropertiesType

typedef Geometry< NodeType >	GeometryType
	definition of the geometry type with given NodeType More...

typedef Geometry< NodeType >::PointsArrayType	NodesArrayType
	definition of nodes container type, redefined from GeometryType More...

typedef Vector	VectorType

typedef Matrix	MatrixType

typedef std::size_t	IndexType

typedef std::size_t	SizeType

typedef Dof< double >	DofType

typedef std::vector< std::size_t >	EquationIdVectorType

typedef std::vector< DofType::Pointer >	DofsVectorType

typedef PointerVectorSet< DofType >	DofsArrayType

typedef GeometryData::IntegrationMethod	IntegrationMethod
	Type definition for integration methods. More...

typedef GeometryData	GeometryDataType

Public Types inherited from Kratos::GeometricalObject
typedef Node	NodeType
	Definition of the node type. More...

typedef Geometry< NodeType >	GeometryType
	The geometry type definition. More...

typedef std::size_t	IndexType
	Defines the index type. More...

typedef std::size_t	result_type
	Defines the result type. More...

Public Types inherited from Kratos::IndexedObject
typedef std::size_t	IndexType
	The definition of the index type. More...

typedef std::size_t	result_type
	The definition of the result_type. More...

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

Static Public Member Functions inherited from Kratos::GeometricalObject
static bool	HasSameType (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject have the same type. More...

static bool	HasSameType (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject have the same type (pointer version) More...

static bool	HasSameGeometryType (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject have the same geometry type. More...

static bool	HasSameGeometryType (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject have the same geometry type (pointer version) More...

static bool	IsSame (const GeometricalObject &rLHS, const GeometricalObject &rRHS)
	Checks if two GeometricalObject are the same. More...

static bool	IsSame (const GeometricalObject rLHS, const GeometricalObject rRHS)
	Checks if two GeometricalObject are the same (pointer version) 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)

Detailed Description

template<unsigned int TDim>
class Kratos::FractionalStep< TDim >

A stabilized element for the incompressible Navier-Stokes equations.

Member Typedef Documentation

◆ DofsArrayType

template<unsigned int TDim>

typedef PointerVectorSet<Dof<double>, IndexedObject> Kratos::FractionalStep< TDim >::DofsArrayType

◆ DofsVectorType

template<unsigned int TDim>

typedef std::vector< Dof<double>::Pointer > Kratos::FractionalStep< TDim >::DofsVectorType

◆ EquationIdVectorType

template<unsigned int TDim>

typedef std::vector<std::size_t> Kratos::FractionalStep< TDim >::EquationIdVectorType

◆ GeometryType

template<unsigned int TDim>

typedef Geometry<NodeType> Kratos::FractionalStep< TDim >::GeometryType

Geometry type (using with given NodeType)

◆ IndexType

template<unsigned int TDim>

typedef std::size_t Kratos::FractionalStep< TDim >::IndexType

◆ MatrixType

template<unsigned int TDim>

typedef Matrix Kratos::FractionalStep< TDim >::MatrixType

Matrix type for local contributions to the linear system.

◆ NodesArrayType

template<unsigned int TDim>

typedef Geometry<NodeType>::PointsArrayType Kratos::FractionalStep< TDim >::NodesArrayType

Definition of nodes container type, redefined from GeometryType.

◆ NodeType

template<unsigned int TDim>

typedef Node Kratos::FractionalStep< TDim >::NodeType

Node type (default is: Node)

◆ ShapeFunctionDerivativesArrayType

template<unsigned int TDim>

typedef GeometryType::ShapeFunctionsGradientsType Kratos::FractionalStep< TDim >::ShapeFunctionDerivativesArrayType

Type for an array of shape function gradient matrices.

◆ ShapeFunctionDerivativesType

template<unsigned int TDim>

typedef Kratos::Matrix Kratos::FractionalStep< TDim >::ShapeFunctionDerivativesType

Type for a matrix containing the shape function gradients.

◆ ShapeFunctionsType

template<unsigned int TDim>

typedef Kratos::Vector Kratos::FractionalStep< TDim >::ShapeFunctionsType

Type for shape function values container.

◆ SizeType

template<unsigned int TDim>

typedef std::size_t Kratos::FractionalStep< TDim >::SizeType

◆ VectorType

template<unsigned int TDim>

typedef Vector Kratos::FractionalStep< TDim >::VectorType

Vector type for local contributions to the linear system.

Constructor & Destructor Documentation

◆ FractionalStep() [1/4]

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::FractionalStep ( IndexType NewId = 0 )

inline

Default constuctor.

Parameters

NewId Index number of the new element (optional)

◆ FractionalStep() [2/4]

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::FractionalStep	(	IndexType	NewId,
		const NodesArrayType &	ThisNodes
	)

inline

Constructor using an array of nodes.

Parameters

NewId	Index of the new element
ThisNodes	An array containing the nodes of the new element

◆ FractionalStep() [3/4]

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::FractionalStep	(	IndexType	NewId,
		GeometryType::Pointer	pGeometry
	)

inline

Constructor using a geometry object.

Parameters

NewId	Index of the new element
pGeometry	Pointer to a geometry object

◆ FractionalStep() [4/4]

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::FractionalStep	(	IndexType	NewId,
		GeometryType::Pointer	pGeometry,
		PropertiesType::Pointer	pProperties
	)

inline

Constuctor using geometry and properties.

Parameters

NewId	Index of the new element
pGeometry	Pointer to a geometry object
pProperties	Pointer to the element's properties

◆ ~FractionalStep()

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::~FractionalStep ( )

inlineoverride

Destructor.

Member Function Documentation

◆ AddMomentumMassTerm()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::AddMomentumMassTerm	(	Matrix &	rMassMatrix,
		const ShapeFunctionsType &	rN,
		const double	Weight
	)

protected

Add integration point contribution to the mass matrix.

A constistent mass matrix is used.

Parameters

rMassMatrix	The local matrix where the result will be added.
rN	Elemental shape functions.
Weight	Multiplication coefficient for the matrix, typically Density times integration point weight.

◆ AddMomentumSystemTerms()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::AddMomentumSystemTerms	(	Matrix &	rLHSMatrix,
		Vector &	rRHSVector,
		const double	Density,
		const Vector &	rConvOperator,
		const array_1d< double, 3 > &	rBodyForce,
		const double	OldPressure,
		const double	TauOne,
		const double	TauTwo,
		const array_1d< double, 3 > &	rMomentumProjection,
		const double	MassProjection,
		const ShapeFunctionsType &	rN,
		const ShapeFunctionDerivativesType &	rDN_DX,
		const double	Weight
	)

protectedvirtual

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ AddViscousTerm() [1/3]

void Kratos::FractionalStep< 2 >::AddViscousTerm	(	MatrixType &	rDampingMatrix,
		const ShapeFunctionDerivativesType &	rShapeDeriv,
		const double	Weight
	)

protected

◆ AddViscousTerm() [2/3]

void Kratos::FractionalStep< 3 >::AddViscousTerm	(	MatrixType &	rDampingMatrix,
		const ShapeFunctionDerivativesType &	rShapeDeriv,
		const double	Weight
	)

protected

◆ AddViscousTerm() [3/3]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::AddViscousTerm	(	MatrixType &	rDampingMatrix,
		const ShapeFunctionDerivativesType &	rShapeDeriv,
		const double	Weight
	)

protected

◆ Calculate() [1/2]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::Calculate	(	const Variable< array_1d< double, 3 > > &	rVariable,
		array_1d< double, 3 > &	rOutput,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Parameters

rVariable	Use ADVPROJ or VELOCITY
Output	(unused)
rCurrentProcessInfo	Process info instance (unused)

Reimplemented from Kratos::Element.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ Calculate() [2/2]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::Calculate	(	const Variable< double > &	rVariable,
		double &	rOutput,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Parameters

rVariable	Use DIVPROJ
rOutput	(unused)
rCurrentProcessInfo	Process info instance (unused)

Reimplemented from Kratos::Element.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ CalculateEndOfStepSystem()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateEndOfStepSystem	(	MatrixType &	rLeftHandSideMatrix,
		VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

protected

◆ CalculateGeometryData()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateGeometryData	(	ShapeFunctionDerivativesArrayType &	rDN_DX,
		Matrix &	rNContainer,
		Vector &	rGaussWeights
	)

protectedvirtual

Determine integration point weights and shape funcition derivatives from the element's geometry.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ CalculateLeftHandSide()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateLeftHandSide	(	MatrixType &	rLeftHandSideMatrix,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

this is called during the assembling process in order to calculate the elemental left hand side matrix only

Parameters

rLeftHandSideMatrix	the elemental left hand side matrix
rCurrentProcessInfo	the current process info instance

Reimplemented from Kratos::Element.

◆ CalculateLocalFractionalVelocitySystem()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateLocalFractionalVelocitySystem	(	MatrixType &	rLeftHandSideMatrix,
		VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

protectedvirtual

◆ CalculateLocalPressureSystem()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateLocalPressureSystem	(	MatrixType &	rLeftHandSideMatrix,
		VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

protectedvirtual

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ CalculateLocalSystem()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateLocalSystem	(	MatrixType &	rLeftHandSideMatrix,
		VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Calculate the element's local contribution to the system for the current step.

Reimplemented from Kratos::Element.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, and Kratos::FractionalStepDiscontinuous< 3 >.

◆ CalculateOnIntegrationPoints() [1/5]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateOnIntegrationPoints	(	const Variable< array_1d< double, 3 > > &	rVariable,
		std::vector< array_1d< double, 3 > > &	rValues,
		const ProcessInfo &	rCurrentProcessInfo
	)

override

Obtain an array_1d<double,3> elemental variable, evaluated on gauss points.

Parameters

rVariable	Kratos vector variable to get
Output	Will be filled with the values of the variable on integrartion points
rCurrentProcessInfo	Process info instance

◆ CalculateOnIntegrationPoints() [2/5]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateOnIntegrationPoints	(	const Variable< array_1d< double, 6 > > &	rVariable,
		std::vector< array_1d< double, 6 > > &	rValues,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverride

Obtain an array_1d<double,6> elemental variable, evaluated on gauss points.

Parameters

rVariable	Kratos vector variable to compute
Output	Will be filled with the values of the variable on integrartion points
rCurrentProcessInfo	Process info instance

◆ CalculateOnIntegrationPoints() [3/5]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateOnIntegrationPoints	(	const Variable< double > &	rVariable,
		std::vector< double > &	rValues,
		const ProcessInfo &	rCurrentProcessInfo
	)

overridevirtual

Obtain a double elemental variable, evaluated on gauss points.

Parameters

rVariable	Kratos vector variable to compute
Output	Will be filled with the values of the variable on integrartion points
rCurrentProcessInfo	Process info instance

Reimplemented from Kratos::Element.

◆ CalculateOnIntegrationPoints() [4/5]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateOnIntegrationPoints	(	const Variable< Matrix > &	rVariable,
		std::vector< Matrix > &	rValues,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

Obtain a Matrix elemental variable, evaluated on gauss points.

Parameters

rVariable	Kratos vector variable to compute
Output	Will be filled with the values of the variable on integrartion points
rCurrentProcessInfo	Process info instance

Reimplemented from Kratos::Element.

◆ CalculateOnIntegrationPoints() [5/5]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateOnIntegrationPoints	(	const Variable< Vector > &	rVariable,
		std::vector< Vector > &	rValues,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

Obtain a Vector elemental variable, evaluated on gauss points.

Parameters

rVariable	Kratos vector variable to compute
Output	Will be filled with the values of the variable on integrartion points
rCurrentProcessInfo	Process info instance

Reimplemented from Kratos::Element.

◆ CalculateProjectionRHS() [1/2]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateProjectionRHS	(	VectorType &	rConvTerm,
		VectorType &	rPresTerm,
		VectorType &	rDivTerm,
		const ShapeFunctionsType &	rN,
		const ShapeFunctionDerivativesType &	rDN_DX,
		const double	Weight
	)

protectedvirtual

◆ CalculateProjectionRHS() [2/2]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateProjectionRHS	(	VectorType &	rMomentumRHS,
		VectorType &	rMassRHS,
		const ShapeFunctionsType &	rN,
		const ShapeFunctionDerivativesType &	rDN_DX,
		const double	Weight
	)

protectedvirtual

◆ CalculateRightHandSide()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateRightHandSide	(	VectorType &	rRightHandSideVector,
		const ProcessInfo &	rCurrentProcessInfo
	)

inlineoverridevirtual

this is called during the assembling process in order to calculate the elemental right hand side vector only

Parameters

rRightHandSideVector	the elemental right hand side vector
rCurrentProcessInfo	the current process info instance

Reimplemented from Kratos::Element.

◆ CalculateTau()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::CalculateTau	(	double &	TauOne,
		double &	TauTwo,
		double	ElemSize,
		const array_1d< double, 3 > &	rAdvVel,
		const double	Density,
		const double	Viscosity,
		const ProcessInfo &	rCurrentProcessInfo
	)

protectedvirtual

Calculate Stabilization parameters.

Calculates both tau parameters based on a given advective velocity. Takes time step and dynamic coefficient from given ProcessInfo instance. ProcessInfo variables DELTA_TIME and DYNAMIC_TAU will be used.

Parameters

TauOne	First stabilization parameter (momentum equation)
TauTwo	Second stabilization parameter (mass equation)
ElemSize	Characteristic element size (h)
rAdvVel	advection velocity
Area	Elemental area
Density	Density on integrartion point
Viscosity	Dynamic viscosity (mu) on integrartion point
rCurrentProcessInfo	Process info instance

◆ Check()

template<unsigned int TDim>

int Kratos::FractionalStep< TDim >::Check ( const ProcessInfo & rCurrentProcessInfo ) const

overridevirtual

Checks the input and that all required Kratos variables have been registered.

This function provides the place to perform checks on the completeness of the input. It is designed to be called only once (or anyway, not often) typically at the beginning of the calculations, so to verify that nothing is missing from the input or that no common error is found.

Parameters

rCurrentProcessInfo The ProcessInfo of the ModelPart that contains this element.

Returns: 0 if no errors were found.

Reimplemented from Kratos::Element.

◆ Clone()

template<unsigned int TDim>

Element::Pointer Kratos::FractionalStep< TDim >::Clone	(	IndexType	NewId,
		NodesArrayType const &	rThisNodes
	)		const

inlineoverridevirtual

Clones the selected element variables, creating a new one

Parameters

NewId	the ID of the new element
ThisNodes	the nodes of the new element
pProperties	the properties assigned to the new element

Returns: a Pointer to the new element

Reimplemented from Kratos::Element.

◆ ConvectionOperator()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::ConvectionOperator	(	Vector &	rResult,
		const array_1d< double, 3 > &	rConvVel,
		const ShapeFunctionDerivativesType &	DN_DX
	)

protected

Write the convective operator evaluated at this point (for each nodal funciton) to an array.

Evaluate the convective operator for each node's shape function at an arbitrary point

Parameters

rResult	Output vector
rVelocity	Velocity evaluated at the integration point
rShapeDeriv	Derivatives of shape functions evaluated at the integration point

See also: GetAdvectiveVel provides rVelocity

◆ Create() [1/2]

template<unsigned int TDim>

Element::Pointer Kratos::FractionalStep< TDim >::Create	(	IndexType	NewId,
		Element::GeometryType::Pointer	pGeom,
		Element::PropertiesType::Pointer	pProperties
	)		const

inlineoverride

Returns a pointer to a new FractionalStep element, created using given input

Parameters

NewId	the ID of the new element
pGeom	a pointer to the geometry
pProperties	the properties assigned to the new element

Returns: a Pointer to the new element

◆ Create() [2/2]

template<unsigned int TDim>

Element::Pointer Kratos::FractionalStep< TDim >::Create	(	IndexType	NewId,
		NodesArrayType const &	ThisNodes,
		Element::PropertiesType::Pointer	pProperties
	)		const

inlineoverride

Create a new element of this type.

Returns a pointer to a new FractionalStep element, created using given input

Parameters

NewId	the ID of the new element
ThisNodes	the nodes of the new element
pProperties	the properties assigned to the new element

Returns: a Pointer to the new element

◆ EffectiveViscosity()

template<unsigned int TDim>

double Kratos::FractionalStep< TDim >::EffectiveViscosity	(	double	Density,
		const ShapeFunctionsType &	rN,
		const ShapeFunctionDerivativesType &	rDN_DX,
		double	ElemSize,
		const ProcessInfo &	rProcessInfo
	)

protectedvirtual

EffectiveViscosity Calculate the viscosity at given integration point, using Smagorinsky if enabled.

The Smagorinsky model is used only if the C_SMAGORINSKY is defined on the elemental data container.

Note: : This function is redefined when using Non-Newtonian constitutive models. It is important to keep its signature, otherwise non-Newtonian models will stop working.

Parameters

Density	The fluid's density at the integration point.
rN	Nodal shape functions evaluated at the integration points (area coordinates for the point).
rDN_DX	Shape function derivatives at the integration point.
ElemSize	Representative length of the element (used only for Smagorinsky).
rProcessInfo	ProcessInfo instance passed from the ModelPart.

Returns: Effective viscosity, in dynamic units (Pa*s or equivalent).

◆ ElementSize()

template<unsigned int TDim>

double Kratos::FractionalStep< TDim >::ElementSize

protected

◆ EquationIdVector()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::EquationIdVector	(	EquationIdVectorType &	rResult,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

overridevirtual

Provides the global indices for each one of this element's local rows.

this determines the elemental equation ID vector for all elemental DOFs

Parameters

rResult	A vector containing the global Id of each row
rCurrentProcessInfo	the current process info object (unused)

Reimplemented from Kratos::Element.

◆ EquivalentStrainRate()

template<unsigned int TDim>

double Kratos::FractionalStep< TDim >::EquivalentStrainRate ( const ShapeFunctionDerivativesType & rDN_DX ) const

protected

EquivalentStrainRate Calculate the second invariant of the strain rate tensor GammaDot = (2SijSij)^0.5.

Note: Our implementation of non-Newtonian consitutive models such as Bingham relies on this funcition being defined on all fluid elements.

Parameters

rDN_DX Shape function derivatives at the integration point.

Returns: GammaDot = (2SijSij)^0.5.

◆ EvaluateConvVelocity()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::EvaluateConvVelocity	(	array_1d< double, 3 > &	rConvVel,
		const ShapeFunctionsType &	N
	)

protectedvirtual

Evaluate ALE convective velocity (velocity-mesh velocity) at a given point.

Parameters

rConvVel	container for result.
N	Shape functions at point of evaluation.

◆ EvaluateDivergenceInPoint()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::EvaluateDivergenceInPoint	(	double &	rResult,
		const Kratos::Variable< array_1d< double, 3 > > &	Var,
		const ShapeFunctionDerivativesType &	rDN_DX
	)

inlineprotected

◆ EvaluateGradientInPoint()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::EvaluateGradientInPoint	(	array_1d< double, TDim > &	rResult,
		const Kratos::Variable< double > &	Var,
		const ShapeFunctionDerivativesType &	rDN_DX
	)

inlineprotected

◆ EvaluateInPoint() [1/2]

template<unsigned int TDim>

template<class TVariableType >

void Kratos::FractionalStep< TDim >::EvaluateInPoint	(	TVariableType &	rResult,
		const Kratos::Variable< TVariableType > &	Var,
		const ShapeFunctionsType &	rShapeFunc
	)

inlineprotected

Write the value of a variable at a point inside the element to a double.

Evaluate a nodal variable in the point where the form functions take the values given by rShapeFunc and write the result to rResult. This is an auxiliary function used to compute values in integration points.

Parameters

rResult	The variable where the value will be added to
rVariable	The nodal variable to be read
rShapeFunc	The values of the form functions in the point

◆ EvaluateInPoint() [2/2]

template<unsigned int TDim>

template<class TVariableType >

void Kratos::FractionalStep< TDim >::EvaluateInPoint	(	TVariableType &	rResult,
		const Kratos::Variable< TVariableType > &	Var,
		const ShapeFunctionsType &	rShapeFunc,
		const IndexType	Step
	)

inlineprotected

Write the value of a variable at a point inside the element to a double.

Evaluate a nodal variable in the point where the form functions take the values given by rShapeFunc and write the result to rResult. This is an auxiliary function used to compute values in integration points.

Parameters

rResult	The variable where the value will be added to
rVariable	The nodal variable to be read
rShapeFunc	The values of the form functions in the point
Step	Number of time steps back

◆ GetDofList()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::GetDofList	(	DofsVectorType &	rElementalDofList,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

overridevirtual

Returns a list of the element's Dofs.

Parameters

ElementalDofList	the list of DOFs
rCurrentProcessInfo	the current process info instance

Reimplemented from Kratos::Element.

◆ GetElementalValueForOutput()

template<unsigned int TDim>

template<class TValueType >

void Kratos::FractionalStep< TDim >::GetElementalValueForOutput	(	const Kratos::Variable< TValueType > &	rVariable,
		std::vector< TValueType > &	rOutput
	)

inlineprotected

Helper function to print results on gauss points.

Reads a variable from the element's database and returns it in a format that can be used by CalculateOnIntegrationPoints functions.

See also: CalculateOnIntegrationPoints

◆ GetIntegrationMethod()

template<unsigned int TDim>

GeometryData::IntegrationMethod Kratos::FractionalStep< TDim >::GetIntegrationMethod

overridevirtual

returns the used integration method. In the general case this is the default integration method of the used geometry. I an other integration method is used the method has to be overwritten within the element

Returns: default integration method of the used Geometry

Reimplemented from Kratos::Element.

◆ GetPressureDofList()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::GetPressureDofList	(	DofsVectorType &	rElementalDofList,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ GetPressureValues()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::GetPressureValues	(	Vector &	rValues,
		const int	Step = `0`
	)		const

protected

◆ GetSpecifications()

template<unsigned int TDim>

const Parameters Kratos::FractionalStep< TDim >::GetSpecifications

overridevirtual

This method provides the specifications/requirements of the element.

This can be used to enhance solvers and analysis. The following is an example: { "time_integration" : [], // NOTE: Options are static, implicit, explicit "framework" : "eulerian", // NOTE: Options are eulerian, lagrangian, ALE "symmetric_lhs" : true, // NOTE: Options are true/false "positive_definite_lhs" : false, // NOTE: Options are true/false "output" : { // NOTE: Values compatible as output "gauss_point" : ["INTEGRATION_WEIGTH"], "nodal_historical" : ["DISPLACEMENT"], "nodal_non_historical" : [], "entity" : [] }, "required_variables" : ["DISPLACEMENT"], // NOTE: Fill with the required variables "required_dofs" : ["DISPLACEMENT_X", "DISPLACEMENT_Y"], // NOTE: Fill with the required dofs "flags_used" : ["BOUNDARY", "ACTIVE"], // NOTE: Fill with the flags used "compatible_geometries" : ["Triangle2D3"], // NOTE: Compatible geometries. Options are "Point2D", "Point3D", "Sphere3D1", "Line2D2", "Line2D3", "Line3D2", "Line3D3", "Triangle2D3", "Triangle2D6", "Triangle3D3", "Triangle3D6", "Quadrilateral2D4", "Quadrilateral2D8", "Quadrilateral2D9", "Quadrilateral3D4", "Quadrilateral3D8", "Quadrilateral3D9", "Tetrahedra3D4" , "Tetrahedra3D10" , "Prism3D6" , "Prism3D15" , "Hexahedra3D8" , "Hexahedra3D20" , "Hexahedra3D27" "element_integrates_in_time" : true, // NOTE: Options are true/false "compatible_constitutive_laws": { "type" : ["PlaneStress","PlaneStrain"], // NOTE: List of CL compatible types. Options are "PlaneStress", "PlaneStrain", "3D" "dimension" : ["2D", "2D"], // NOTE: List of dimensions. Options are "2D", "3D", "2DAxysimm" "strain_size" : [3,3] // NOTE: List of strain sizes }, "documentation" : "This is an element" // NOTE: The documentation of the entity }

Returns: specifications The required specifications/requirements

Reimplemented from Kratos::Element.

◆ GetVelocityDofList() [1/3]

void Kratos::FractionalStep< 2 >::GetVelocityDofList	(	DofsVectorType &	rElementalDofList,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ GetVelocityDofList() [2/3]

void Kratos::FractionalStep< 3 >::GetVelocityDofList	(	DofsVectorType &	rElementalDofList,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ GetVelocityDofList() [3/3]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::GetVelocityDofList	(	DofsVectorType &	rElementalDofList,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ GetVelocityValues() [1/3]

void Kratos::FractionalStep< 2 >::GetVelocityValues	(	Vector &	rValues,
		const int	Step
	)		const

protected

◆ GetVelocityValues() [2/3]

void Kratos::FractionalStep< 3 >::GetVelocityValues	(	Vector &	rValues,
		const int	Step
	)		const

protected

◆ GetVelocityValues() [3/3]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::GetVelocityValues	(	Vector &	rValues,
		const int	Step = `0`
	)		const

protected

◆ Info()

template<unsigned int TDim>

std::string Kratos::FractionalStep< TDim >::Info ( ) const

inlineoverridevirtual

Turn back information as a string.

Reimplemented from Kratos::Element.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, Kratos::FractionalStepDiscontinuous< 3 >, Kratos::BinghamFluid< Kratos::FractionalStepDiscontinuous< 2 > >, and Kratos::BinghamFluid< Kratos::FractionalStepDiscontinuous< 3 > >.

◆ Initialize()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::Initialize ( const ProcessInfo & rCurrentProcessInfo )

overridevirtual

ELEMENTS inherited from this class must implement next methods Initialize, ResetConstitutiveLaw if the element needs to perform any operation before any calculation is done reset material and constitutive parameters or clean memory deleting obsolete variables these methods are: OPTIONAL is called to initialize the element if the element needs to perform any operation before any calculation is done the elemental variables will be initialized and set using this method

Reimplemented from Kratos::Element.

◆ InitializeNonLinearIteration()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::InitializeNonLinearIteration ( const ProcessInfo & rCurrentProcessInfo )

overridevirtual

this is called for non-linear analysis at the beginning of the iteration process

Reimplemented from Kratos::Element.

◆ InitializeSolutionStep()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::InitializeSolutionStep ( const ProcessInfo & rCurrentProcessInfo )

overridevirtual

Initializes the element and all geometric information required for the problem.

Reimplemented from Kratos::Element.

◆ KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION()

template<unsigned int TDim>

Kratos::FractionalStep< TDim >::KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION ( FractionalStep< TDim > )

Pointer definition of FractionalStep.

◆ ModulatedGradientDiffusion()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::ModulatedGradientDiffusion	(	MatrixType &	rDampingMatrix,
		const ShapeFunctionDerivativesType &	rDN_DX,
		const double	Weight
	)

protected

◆ PressureEquationIdVector()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::PressureEquationIdVector	(	EquationIdVectorType &	rResult,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ PrintInfo()

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::PrintInfo ( std::ostream & rOStream ) const

inlineoverridevirtual

Print information about this object.

Reimplemented from Kratos::Element.

Reimplemented in Kratos::FractionalStepDiscontinuous< TDim >, Kratos::FractionalStepDiscontinuous< 2 >, Kratos::FractionalStepDiscontinuous< 3 >, Kratos::BinghamFluid< Kratos::FractionalStepDiscontinuous< 2 > >, and Kratos::BinghamFluid< Kratos::FractionalStepDiscontinuous< 3 > >.

◆ VelocityEquationIdVector() [1/3]

void Kratos::FractionalStep< 2 >::VelocityEquationIdVector	(	EquationIdVectorType &	rResult,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ VelocityEquationIdVector() [2/3]

void Kratos::FractionalStep< 3 >::VelocityEquationIdVector	(	EquationIdVectorType &	rResult,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

◆ VelocityEquationIdVector() [3/3]

template<unsigned int TDim>

void Kratos::FractionalStep< TDim >::VelocityEquationIdVector	(	EquationIdVectorType &	rResult,
		const ProcessInfo &	rCurrentProcessInfo
	)		const

protected

Friends And Related Function Documentation

◆ Serializer

template<unsigned int TDim>

friend class Serializer

friend

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

/home/runner/work/Documentation/Documentation/master/applications/FluidDynamicsApplication/custom_elements/fractional_step.h
/home/runner/work/Documentation/Documentation/master/applications/FluidDynamicsApplication/custom_elements/fractional_step.cpp

Public Member Functions

Protected Member Functions

Type Definitions

Serialization

Additional Inherited Members

Detailed Description

template<unsigned int TDim> class Kratos::FractionalStep< TDim >

Member Typedef Documentation

◆ DofsArrayType

◆ DofsVectorType

◆ EquationIdVectorType

◆ GeometryType

◆ IndexType

◆ MatrixType

◆ NodesArrayType

◆ NodeType

◆ ShapeFunctionDerivativesArrayType

◆ ShapeFunctionDerivativesType

◆ ShapeFunctionsType

◆ SizeType

◆ VectorType

Constructor & Destructor Documentation

◆ FractionalStep() [1/4]

◆ FractionalStep() [2/4]

◆ FractionalStep() [3/4]

◆ FractionalStep() [4/4]

◆ ~FractionalStep()

Member Function Documentation

◆ AddMomentumMassTerm()

◆ AddMomentumSystemTerms()

◆ AddViscousTerm() [1/3]

◆ AddViscousTerm() [2/3]

◆ AddViscousTerm() [3/3]

◆ Calculate() [1/2]

◆ Calculate() [2/2]

◆ CalculateEndOfStepSystem()

◆ CalculateGeometryData()

◆ CalculateLeftHandSide()

◆ CalculateLocalFractionalVelocitySystem()

◆ CalculateLocalPressureSystem()

◆ CalculateLocalSystem()

◆ CalculateOnIntegrationPoints() [1/5]

◆ CalculateOnIntegrationPoints() [2/5]

◆ CalculateOnIntegrationPoints() [3/5]

◆ CalculateOnIntegrationPoints() [4/5]

◆ CalculateOnIntegrationPoints() [5/5]

◆ CalculateProjectionRHS() [1/2]

◆ CalculateProjectionRHS() [2/2]

◆ CalculateRightHandSide()

◆ CalculateTau()

◆ Check()

◆ Clone()

◆ ConvectionOperator()

◆ Create() [1/2]

◆ Create() [2/2]

◆ EffectiveViscosity()

◆ ElementSize()

◆ EquationIdVector()

◆ EquivalentStrainRate()

◆ EvaluateConvVelocity()

◆ EvaluateDivergenceInPoint()

◆ EvaluateGradientInPoint()

◆ EvaluateInPoint() [1/2]

◆ EvaluateInPoint() [2/2]

◆ GetDofList()

◆ GetElementalValueForOutput()

◆ GetIntegrationMethod()

◆ GetPressureDofList()

◆ GetPressureValues()

◆ GetSpecifications()

◆ GetVelocityDofList() [1/3]

◆ GetVelocityDofList() [2/3]

◆ GetVelocityDofList() [3/3]

◆ GetVelocityValues() [1/3]

◆ GetVelocityValues() [2/3]

◆ GetVelocityValues() [3/3]

◆ Info()

◆ Initialize()

◆ InitializeNonLinearIteration()

◆ InitializeSolutionStep()

template<unsigned int TDim>
class Kratos::FractionalStep< TDim >