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

#include <geometry_metric_calculator.h>

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

Public Member Functions
void	CalculateMetricTensor (const GeometryType &rGeometry, BoundedMatrix< double, 2, 2 > &rMetricTensor)
void	CalculateMetricTensor (const GeometryType &rGeometry, BoundedMatrix< double, 3, 3 > &rMetricTensor)
Life Cycle
	GeometryMetricCalculator ()=delete
	GeometryMetricCalculator (GeometryMetricCalculator const &rOther)=delete
	Deleted copy constructor. More...
Operators
GeometryMetricCalculator &	operator= (GeometryMetricCalculator const &rOther)=delete
	Deleted assignment operator. More...

Static Public Member Functions
Operations
static void	CalculateMetricTensor (const GeometryType &rGeometry, BoundedMatrix< double, TDim, TDim > &rMetricTensor)
	Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght. More...
static void	CalculateMetricTensor (const GeometryType &rGeometry, BoundedMatrix< double, TDim, TDim > &rMetricTensor, double &rReferenceElementSize, double &rMetricInfimum, double &rMetricSupremum)
	Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght. The eigenvalues of the metric tensor are also computed in order to obtain the lenghts of the Steiner inertia ellipsis semiaxes. This allows computing the reference element size (as the average of the semiaxes lengths) and the infimum and supremum norms of M. More...
static void	CalculateMetricTensorDimensionless (const GeometryType &rGeometry, BoundedMatrix< double, TDim, TDim > &rMetricTensorDimensionless, double &rReferenceElementSize, double &rMetricInfimum, double &rMetricSupremum)
	Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght. The eigenvalues of the metric tensor are also computed in order to obtain the lenghts of the Steiner inertia ellipsis semiaxes. This allows computing the reference element size (as the average of the semiaxes lengths) and the infimum and supremum norms of M. Note that this methods returns the dimensionless metric that is the metric tensor multiplied by the square of the reference element size. More...

Type Definitions
typedef Geometry< Node >	GeometryType
	KRATOS_CLASS_POINTER_DEFINITION (GeometryMetricCalculator)
	Pointer definition of GeometryMetricCalculator. More...

Member Typedef Documentation

GeometryType

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

typedef Geometry<Node> Kratos::GeometryMetricCalculator< TDim, TNumNodes >::GeometryType

Constructor & Destructor Documentation

GeometryMetricCalculator() [1/2]

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

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

delete

GeometryMetricCalculator() [2/2]

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

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

delete

Deleted copy constructor.

Member Function Documentation

CalculateMetricTensor() [1/4]

void Kratos::GeometryMetricCalculator< 2, 3 >::CalculateMetricTensor	(	const GeometryType &	rGeometry,
		BoundedMatrix< double, 2, 2 > &	rMetricTensor
	)

CalculateMetricTensor() [2/4]

void Kratos::GeometryMetricCalculator< 3, 4 >::CalculateMetricTensor	(	const GeometryType &	rGeometry,
		BoundedMatrix< double, 3, 3 > &	rMetricTensor
	)

CalculateMetricTensor() [3/4]

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

static void Kratos::GeometryMetricCalculator< TDim, TNumNodes >::CalculateMetricTensor ( const GeometryType &  rGeometry, BoundedMatrix< double, TDim, TDim > &  rMetricTensor  )

static

Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght.

Template Parameters

TDim	Geometry working dimension
TNumNodes	Geometry number of nodes

Parameters

rGeometry	Reference to the geometry of interest
rMetricTensor	Reference to the metric tensor

CalculateMetricTensor() [4/4]

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

void Kratos::GeometryMetricCalculator< TDim, TNumNodes >::CalculateMetricTensor ( const GeometryType &  rGeometry, BoundedMatrix< double, TDim, TDim > &  rMetricTensor, double &  rReferenceElementSize, double &  rMetricInfimum, double &  rMetricSupremum  )

static

Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght. The eigenvalues of the metric tensor are also computed in order to obtain the lenghts of the Steiner inertia ellipsis semiaxes. This allows computing the reference element size (as the average of the semiaxes lengths) and the infimum and supremum norms of M.

Template Parameters

TDim	Geometry working dimension
TNumNodes	Geometry number of nodes

Parameters

rGeometry	Reference to the geometry of interest
rMetricTensor	Reference to the metric tensor
rReferenceElementSize	Reference to the reference element size
rMetricInfimum	Reference to the metric infimum
rMetricSupremum	Reference to the metric supremum

CalculateMetricTensorDimensionless()

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

void Kratos::GeometryMetricCalculator< TDim, TNumNodes >::CalculateMetricTensorDimensionless ( const GeometryType &  rGeometry, BoundedMatrix< double, TDim, TDim > &  rMetricTensorDimensionless, double &  rReferenceElementSize, double &  rMetricInfimum, double &  rMetricSupremum  )

static

Calculate the metric tensor of a given geometry This function calculates the metric tensor and its data for a given geometry. The metric tensor M is computed by solving the problem trans(e)*M*e = 1, that means find the coefficients of the matrix M such that all the geometry edges (e) have unit lenght. The eigenvalues of the metric tensor are also computed in order to obtain the lenghts of the Steiner inertia ellipsis semiaxes. This allows computing the reference element size (as the average of the semiaxes lengths) and the infimum and supremum norms of M. Note that this methods returns the dimensionless metric that is the metric tensor multiplied by the square of the reference element size.

Template Parameters

TDim	Geometry working dimension
TNumNodes	Geometry number of nodes

Parameters

rGeometry	Reference to the geometry of interest
rMetricTensor	Reference to the metric tensor
rReferenceElementSize	Reference to the reference element size
rMetricInfimum	Reference to the metric infimum
rMetricSupremum	Reference to the metric supremum

KRATOS_CLASS_POINTER_DEFINITION()

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

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

(

GeometryMetricCalculator< TDim, TNumNodes >

)

Pointer definition of GeometryMetricCalculator.

operator=()

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

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

delete

Deleted assignment operator.

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

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