Kratos::ElementSizeCalculator< TDim, TNumNodes > Class Template Reference

A collection of functions to compute element size, to be used as the h parameter in stabilized CFD formulations. More...

#include <element_size_calculator.h>

Collaboration diagram for Kratos::ElementSizeCalculator< TDim, TNumNodes >:

Public Member Functions
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	MinimumElementSize (const Geometry< Node > &rGeometry)
double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	AverageElementSize (const Geometry< Node > &rGeometry)
double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
Life Cycle
	ElementSizeCalculator ()=delete
	ElementSizeCalculator (ElementSizeCalculator const &rOther)=delete
	Deleted copy constructor. More...
	~ElementSizeCalculator ()
	Destructor. More...
Operators
ElementSizeCalculator &	operator= (ElementSizeCalculator const &rOther)=delete
	Deleted assignment operator. More...

Static Public Member Functions
Operations
static double	MinimumElementSize (const Geometry< Node > &rGeometry)
	Minimum element size based on the geometry. More...
static double	MinimumElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
	Minimum element size derivative based on the geometry. More...
static double	AverageElementSize (const Geometry< Node > &rGeometry)
	Average element size based on the geometry. More...
static double	AverageElementSizeDerivative (const unsigned int DerivativeNodeIndex, const unsigned int DerivativeDirectionIndex, const Geometry< Node > &rGeometry)
	Average element size derivative based on the geometry. More...
static double	ProjectedElementSize (const Geometry< Node > &rGeometry, const array_1d< double, 3 > &rVelocity)
	Projected element size in the direction of the velocity vector. More...
static double	GradientsElementSize (const BoundedMatrix< double, 3, 2 > &rDN_DX)
	Element size based on the shape functions gradients. Triangle element version. More...
static double	GradientsElementSize (const BoundedMatrix< double, 4, 3 > &rDN_DX)
	Element size based on the shape functions gradients. Tetrahedral element version. More...

Type Definitions
typedef BoundedMatrix< double, TNumNodes, TDim >	ShapeDerivativesType
	KRATOS_CLASS_POINTER_DEFINITION (ElementSizeCalculator)
	Pointer definition of ElementSizeCalculator. More...

Detailed Description

template<std::size_t TDim, std::size_t TNumNodes>
class Kratos::ElementSizeCalculator< TDim, TNumNodes >

A collection of functions to compute element size, to be used as the h parameter in stabilized CFD formulations.

Member Typedef Documentation

ShapeDerivativesType

template<std::size_t TDim, std::size_t TNumNodes>

typedef BoundedMatrix<double,TNumNodes,TDim> Kratos::ElementSizeCalculator< TDim, TNumNodes >::ShapeDerivativesType

Constructor & Destructor Documentation

ElementSizeCalculator() [1/2]

template<std::size_t TDim, std::size_t TNumNodes>

Kratos::ElementSizeCalculator< TDim, TNumNodes >::ElementSizeCalculator ( )

delete

ElementSizeCalculator() [2/2]

template<std::size_t TDim, std::size_t TNumNodes>

Kratos::ElementSizeCalculator< TDim, TNumNodes >::ElementSizeCalculator ( ElementSizeCalculator< TDim, TNumNodes > const &  rOther )

delete

Deleted copy constructor.

~ElementSizeCalculator()

template<std::size_t TDim, std::size_t TNumNodes>

Kratos::ElementSizeCalculator< TDim, TNumNodes >::~ElementSizeCalculator

Destructor.

Member Function Documentation

AverageElementSize() [1/10]

double Kratos::ElementSizeCalculator< 2, 3 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [2/10]

double Kratos::ElementSizeCalculator< 2, 6 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [3/10]

double Kratos::ElementSizeCalculator< 2, 4 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [4/10]

double Kratos::ElementSizeCalculator< 2, 9 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [5/10]

double Kratos::ElementSizeCalculator< 3, 4 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [6/10]

double Kratos::ElementSizeCalculator< 3, 10 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [7/10]

double Kratos::ElementSizeCalculator< 3, 6 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [8/10]

double Kratos::ElementSizeCalculator< 3, 8 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [9/10]

double Kratos::ElementSizeCalculator< 3, 27 >::AverageElementSize

(

const Geometry< Node > &

rGeometry

)

AverageElementSize() [10/10]

template<std::size_t TDim, std::size_t TNumNodes>

static double Kratos::ElementSizeCalculator< TDim, TNumNodes >::AverageElementSize ( const Geometry< Node > &  rGeometry )

static

Average element size based on the geometry.

Parameters

rGeometry

The geometry of calling element.

Returns

The computed size.

AverageElementSizeDerivative() [1/10]

double Kratos::ElementSizeCalculator< 2, 3 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [2/10]

double Kratos::ElementSizeCalculator< 2, 6 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [3/10]

double Kratos::ElementSizeCalculator< 2, 4 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [4/10]

double Kratos::ElementSizeCalculator< 2, 9 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [5/10]

double Kratos::ElementSizeCalculator< 3, 4 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [6/10]

double Kratos::ElementSizeCalculator< 3, 10 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [7/10]

double Kratos::ElementSizeCalculator< 3, 6 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [8/10]

double Kratos::ElementSizeCalculator< 3, 8 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [9/10]

double Kratos::ElementSizeCalculator< 3, 27 >::AverageElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

AverageElementSizeDerivative() [10/10]

template<std::size_t TDim, std::size_t TNumNodes>

static double Kratos::ElementSizeCalculator< TDim, TNumNodes >::AverageElementSizeDerivative ( const unsigned int  DerivativeNodeIndex, const unsigned int  DerivativeDirectionIndex, const Geometry< Node > &  rGeometry  )

static

Average element size derivative based on the geometry.

Parameters

DerivativeNodeIndex	NodeIndex for which the derivative is obtained
DerivativeDirectionIndex	DirectionIndex for which the derivative is obtained
rGeometry	The geometry of calling element

Returns

The derivative w.r.t. DerivativeNodeIndex and DerivativeDirectionIndex

GradientsElementSize() [1/2]

template<std::size_t TDim, std::size_t TNumNodes>

double Kratos::ElementSizeCalculator< TDim, TNumNodes >::GradientsElementSize ( const BoundedMatrix< double, 3, 2 > &  rDN_DX )

static

Element size based on the shape functions gradients. Triangle element version.

Parameters

rDN_DX

The shape functions gradients.

Returns

The computed size.

GradientsElementSize() [2/2]

template<std::size_t TDim, std::size_t TNumNodes>

double Kratos::ElementSizeCalculator< TDim, TNumNodes >::GradientsElementSize ( const BoundedMatrix< double, 4, 3 > &  rDN_DX )

static

Element size based on the shape functions gradients. Tetrahedral element version.

Parameters

rDN_DX

The shape functions gradients.

Returns

The computed size.

KRATOS_CLASS_POINTER_DEFINITION()

template<std::size_t TDim, std::size_t TNumNodes>

Kratos::ElementSizeCalculator< TDim, TNumNodes >::KRATOS_CLASS_POINTER_DEFINITION

(

ElementSizeCalculator< TDim, TNumNodes >

)

Pointer definition of ElementSizeCalculator.

MinimumElementSize() [1/10]

double Kratos::ElementSizeCalculator< 2, 3 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [2/10]

double Kratos::ElementSizeCalculator< 2, 6 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [3/10]

double Kratos::ElementSizeCalculator< 2, 4 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [4/10]

double Kratos::ElementSizeCalculator< 2, 9 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [5/10]

double Kratos::ElementSizeCalculator< 3, 4 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [6/10]

double Kratos::ElementSizeCalculator< 3, 10 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [7/10]

double Kratos::ElementSizeCalculator< 3, 6 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [8/10]

double Kratos::ElementSizeCalculator< 3, 8 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [9/10]

double Kratos::ElementSizeCalculator< 3, 27 >::MinimumElementSize

(

const Geometry< Node > &

rGeometry

)

MinimumElementSize() [10/10]

template<std::size_t TDim, std::size_t TNumNodes>

static double Kratos::ElementSizeCalculator< TDim, TNumNodes >::MinimumElementSize ( const Geometry< Node > &  rGeometry )

static

Minimum element size based on the geometry.

Parameters

rGeometry

The geometry of calling element.

Returns

The computed size.

MinimumElementSizeDerivative() [1/10]

double Kratos::ElementSizeCalculator< 2, 3 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [2/10]

double Kratos::ElementSizeCalculator< 2, 6 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [3/10]

double Kratos::ElementSizeCalculator< 2, 4 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [4/10]

double Kratos::ElementSizeCalculator< 2, 9 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [5/10]

double Kratos::ElementSizeCalculator< 3, 4 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [6/10]

double Kratos::ElementSizeCalculator< 3, 10 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [7/10]

double Kratos::ElementSizeCalculator< 3, 6 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [8/10]

double Kratos::ElementSizeCalculator< 3, 8 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [9/10]

double Kratos::ElementSizeCalculator< 3, 27 >::MinimumElementSizeDerivative	(	const unsigned int	DerivativeNodeIndex,
		const unsigned int	DerivativeDirectionIndex,
		const Geometry< Node > &	rGeometry
	)

MinimumElementSizeDerivative() [10/10]

template<std::size_t TDim, std::size_t TNumNodes>

static double Kratos::ElementSizeCalculator< TDim, TNumNodes >::MinimumElementSizeDerivative ( const unsigned int  DerivativeNodeIndex, const unsigned int  DerivativeDirectionIndex, const Geometry< Node > &  rGeometry  )

static

Minimum element size derivative based on the geometry.

Parameters

DerivativeNodeIndex	NodeIndex for which the derivative is obtained
DerivativeDirectionIndex	DirectionIndex for which the derivative is obtained
rGeometry	The geometry of calling element

Returns

The derivative w.r.t. DerivativeNodeIndex and DerivativeDirectionIndex

operator=()

template<std::size_t TDim, std::size_t TNumNodes>

ElementSizeCalculator& Kratos::ElementSizeCalculator< TDim, TNumNodes >::operator= ( ElementSizeCalculator< TDim, TNumNodes > const &  rOther )

delete

Deleted assignment operator.

ProjectedElementSize() [1/10]

double Kratos::ElementSizeCalculator< 2, 3 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [2/10]

double Kratos::ElementSizeCalculator< 2, 6 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [3/10]

double Kratos::ElementSizeCalculator< 2, 4 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [4/10]

double Kratos::ElementSizeCalculator< 2, 9 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [5/10]

double Kratos::ElementSizeCalculator< 3, 4 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [6/10]

double Kratos::ElementSizeCalculator< 3, 10 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [7/10]

double Kratos::ElementSizeCalculator< 3, 6 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [8/10]

double Kratos::ElementSizeCalculator< 3, 8 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [9/10]

double Kratos::ElementSizeCalculator< 3, 27 >::ProjectedElementSize	(	const Geometry< Node > &	rGeometry,
		const array_1d< double, 3 > &	rVelocity
	)

ProjectedElementSize() [10/10]

template<std::size_t TDim, std::size_t TNumNodes>

static double Kratos::ElementSizeCalculator< TDim, TNumNodes >::ProjectedElementSize ( const Geometry< Node > &  rGeometry, const array_1d< double, 3 > &  rVelocity  )

static

Projected element size in the direction of the velocity vector.

Parameters

rGeometry	The geometry of calling element.
rVelocity	The velocity defining the direction of projection.

Returns

The computed size.

---

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

• /home/runner/work/Documentation/Documentation/master/kratos/utilities/element_size_calculator.h
• /home/runner/work/Documentation/Documentation/master/kratos/utilities/element_size_calculator.cpp