#include <bingham_fluid.h>

Inheritance diagram for Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >:

Collaboration diagram for Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >:

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

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

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

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

	~BinghamFluid () override
	Destructor. More...

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

Element::Pointer	Create (IndexType NewId, GeometryType::Pointer pGeom, PropertiesType::Pointer pProperties) const override
	Create a new element of this type. More...

Input and output
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...

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

Protected Member Functions
Protected Operations
double	EffectiveViscosity (double Density, const TShapeFunctionValues &rN, const TShapeFunctionGradients &rDN_DX, double ElemSize, const ProcessInfo &rProcessInfo) override
	EffectiveViscosity Calculate the effective viscosity at given integration point using the Bingham constitutive model. 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 Properties	PropertiesType

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 (BinghamFluid)

Serialization
class	Serializer

Member Typedef Documentation

◆ DofsArrayType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef PointerVectorSet<Dof<double>, IndexedObject> Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::DofsArrayType

◆ DofsVectorType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef std::vector< Dof<double>::Pointer > Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::DofsVectorType

◆ EquationIdVectorType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef std::vector<std::size_t> Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::EquationIdVectorType

◆ GeometryType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Geometry<NodeType> Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::GeometryType

Geometry type (using with given NodeType)

◆ IndexType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef std::size_t Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::IndexType

◆ MatrixType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Matrix Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::MatrixType

Matrix type for local contributions to the linear system.

◆ NodesArrayType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Geometry<NodeType>::PointsArrayType Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::NodesArrayType

Definition of nodes container type, redefined from GeometryType.

◆ NodeType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Node Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::NodeType

Node type (default is: Node)

◆ PropertiesType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Properties Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::PropertiesType

◆ ShapeFunctionDerivativesArrayType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef GeometryType::ShapeFunctionsGradientsType Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::ShapeFunctionDerivativesArrayType

Type for an array of shape function gradient matrices.

◆ ShapeFunctionDerivativesType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Kratos::Matrix Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::ShapeFunctionDerivativesType

Type for a matrix containing the shape function gradients.

◆ ShapeFunctionsType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Kratos::Vector Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::ShapeFunctionsType

Type for shape function values container.

◆ SizeType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef std::size_t Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::SizeType

◆ VectorType

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

typedef Vector Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::VectorType

Vector type for local contributions to the linear system.

Constructor & Destructor Documentation

◆ BinghamFluid() [1/4]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::BinghamFluid ( IndexType NewId = 0 )

inlineexplicit

Default constuctor.

Parameters

NewId Index number of the new element (optional)

◆ BinghamFluid() [2/4]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::BinghamFluid	(	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

◆ BinghamFluid() [3/4]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::BinghamFluid	(	IndexType	NewId,
		GeometryType::Pointer	pGeometry
	)

inline

Constructor using a geometry object.

Parameters

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

◆ BinghamFluid() [4/4]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::BinghamFluid	(	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

◆ ~BinghamFluid()

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::~BinghamFluid ( )

inlineoverride

Destructor.

Member Function Documentation

◆ Create() [1/2]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Element::Pointer Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::Create	(	IndexType	NewId,
		GeometryType::Pointer	pGeom,
		PropertiesType::Pointer	pProperties
	)		const

inlineoverride

Create a new element of this type.

Parameters

NewId	Index of the new element
pGeom	A pointer to the geometry of the new element
pProperties	Pointer to the element's properties

◆ Create() [2/2]

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Element::Pointer Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::Create	(	IndexType	NewId,
		NodesArrayType const &	ThisNodes,
		PropertiesType::Pointer	pProperties
	)		const

inlineoverride

Create a new element of this type.

Returns a pointer to a new 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<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

double Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::EffectiveViscosity	(	double	Density,
		const TShapeFunctionValues &	rN,
		const TShapeFunctionGradients &	rDN_DX,
		double	ElemSize,
		const ProcessInfo &	rProcessInfo
	)

inlineoverrideprotected

EffectiveViscosity Calculate the effective viscosity at given integration point using the Bingham constitutive model.

The Bingham model is implemented here using a regularized formulation, as the viscosity should be infite while the stress is smaller than the yield stress. The implemented constitutive relation is

stress(i,j) = ( mu + ( 1 - exp(-m*gamma_dot) )* yield_stress / gamma_dot ) * strain_rate(i,j)

where gamma_dot is the second invariant of the strain rate (2*SijSij)^0.5 and m is a regularization coefficient. For details on the formulation see the phd thesis of A. Larese, "A coupled Eulerian-PFEM model for the simulation of overtopping in rockfill dams" (2012) Universitat Politecnica de Catalunya.

mu is interpolated from the nodal VISCOSITY values, yield_stress and m are read from rProcessInfo values YIELD_STRESS and REGULARIZATION_COEFFICIENT respectively.

Note: This assumes that the underlying fluid element provides EquivalentStrainRate(rDN_DX) and EvaluateInPoint(value,VARIABLE,rN) methods.

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 (unused for Bingham).
rProcessInfo	ProcessInfo instance passed from the ModelPart, containing additional data

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

◆ Info()

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

std::string Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::Info ( ) const

inlineoverride

Turn back information as a string.

◆ KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION()

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION ( BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients > )

◆ PrintData()

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

void Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::PrintData ( std::ostream & rOStream ) const

inlineoverride

Print object's data.

◆ PrintInfo()

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

void Kratos::BinghamFluid< TBaseElement, TShapeFunctionValues, TShapeFunctionGradients >::PrintInfo ( std::ostream & rOStream ) const

inlineoverride

Print information about this object.

Friends And Related Function Documentation

◆ Serializer

template<class TBaseElement , class TShapeFunctionValues = typename TBaseElement::ShapeFunctionsType, class TShapeFunctionGradients = typename TBaseElement::ShapeFunctionDerivativesType>

friend class Serializer

friend

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

/home/runner/work/Documentation/Documentation/master/applications/FluidDynamicsApplication/custom_elements/bingham_fluid.h

Public Member Functions

Protected Member Functions

Type Definitions

Serialization

Member Typedef Documentation

◆ DofsArrayType

◆ DofsVectorType

◆ EquationIdVectorType

◆ GeometryType

◆ IndexType

◆ MatrixType

◆ NodesArrayType

◆ NodeType

◆ PropertiesType

◆ ShapeFunctionDerivativesArrayType

◆ ShapeFunctionDerivativesType

◆ ShapeFunctionsType

◆ SizeType

◆ VectorType

Constructor & Destructor Documentation

◆ BinghamFluid() [1/4]

◆ BinghamFluid() [2/4]

◆ BinghamFluid() [3/4]

◆ BinghamFluid() [4/4]

◆ ~BinghamFluid()

Member Function Documentation

◆ Create() [1/2]

◆ Create() [2/2]

◆ EffectiveViscosity()

◆ Info()

◆ KRATOS_CLASS_INTRUSIVE_POINTER_DEFINITION()

◆ PrintData()

◆ PrintInfo()

Friends And Related Function Documentation

◆ Serializer