Kratos::DerivativesRecoveryUtility< TDim > Class Template Reference

Superconvergent patch recovery for linear meshes using quadratic polynomials. More...

#include <derivatives_recovery_utility.h>

Collaboration diagram for Kratos::DerivativesRecoveryUtility< TDim >:

Public Types
Type Definitions
typedef Node	NodeType

Public Member Functions
Pointer Definitions
	KRATOS_CLASS_POINTER_DEFINITION (DerivativesRecoveryUtility)

Static Public Member Functions
Operations
static void	Check (ModelPart &rModelPart)
	Check that all the required variables are present in the nodal database. More...
static void	CheckRequiredNeighborsPatch (ModelPart &rModelPart)
	Check that all the nodes have the required number of neighbors (6 in 2D and 10 in 3D) More...
static void	ExtendNeighborsPatch (ModelPart &rModelPart, const std::size_t RequiredNeighbors)
	Same as CheckRequiredNeighborsPatch with a custom number of required neighbors. More...
static void	CalculatePolynomialWeights (ModelPart &rModelPart)
	Fit a polynomial of degree=2 and store its derivative coefficients in FIRST_DERIVATIVE_WEIGHTS and SECOND_DERIVATIVE_WEIGHTS. More...
static void	RecoverDivergence (ModelPart &rModelPart, const Variable< array_1d< double, 3 >> &rOriginVariable, const Variable< double > &rDestinationVariable, const std::size_t BufferStep=0)
	Recover the divergence of a vector variable. More...
static void	RecoverGradient (ModelPart &rModelPart, const Variable< double > &rOriginVariable, const Variable< array_1d< double, 3 >> &rDestinationVariable, const std::size_t BufferStep=0)
	Recover the gradient of a scalar variable. More...
static void	RecoverLaplacian (ModelPart &rModelPart, const Variable< double > &rOriginVariable, const Variable< double > &rDestinationVariable, const std::size_t BufferStep=0)
	Recover the laplacian of a scalar variable. More...
static void	RecoverLaplacian (ModelPart &rModelPart, const Variable< array_1d< double, 3 >> &rOriginVariable, const Variable< array_1d< double, 3 >> &rDestinationVariable, const std::size_t BufferStep=0)
	Recover the laplacian of a vector variable as the gradient of the divergence. More...

Detailed Description

template<std::size_t TDim>
class Kratos::DerivativesRecoveryUtility< TDim >

Superconvergent patch recovery for linear meshes using quadratic polynomials.

Zhimin Zhangand and Ahmed Naga (2006) "A new finite element gradient recovery method: superconvergence property" SIAM J. Sci. Comput., 26(4), 1192–1213. (22 pages)

The polynomial follows the next convention: p_2(x, y, z, Node) = trans(P)*a trans(P) = (1, x, y, z, x^2, y^2, z^2, xy, xz, yz) trans(a) = a_i

Member Typedef Documentation

NodeType

template<std::size_t TDim>

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

Member Function Documentation

CalculatePolynomialWeights()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::CalculatePolynomialWeights ( ModelPart &  rModelPart )

static

Fit a polynomial of degree=2 and store its derivative coefficients in FIRST_DERIVATIVE_WEIGHTS and SECOND_DERIVATIVE_WEIGHTS.

It calls CheckRequiredNeighborsPatch

See also

CheckRequiredNeighborsPatch

Parameters

rModelPart

Check()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::Check ( ModelPart &  rModelPart )

static

Check that all the required variables are present in the nodal database.

Parameters

rModelPart

CheckRequiredNeighborsPatch()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::CheckRequiredNeighborsPatch ( ModelPart &  rModelPart )

static

Check that all the nodes have the required number of neighbors (6 in 2D and 10 in 3D)

Parameters

rModelPart

ExtendNeighborsPatch()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::ExtendNeighborsPatch ( ModelPart &  rModelPart, const std::size_t  RequiredNeighbors  )

static

Same as CheckRequiredNeighborsPatch with a custom number of required neighbors.

Parameters

rModelPart
RequiredNeighbors

KRATOS_CLASS_POINTER_DEFINITION()

template<std::size_t TDim>

Kratos::DerivativesRecoveryUtility< TDim >::KRATOS_CLASS_POINTER_DEFINITION

(

DerivativesRecoveryUtility< TDim >

)

RecoverDivergence()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::RecoverDivergence ( ModelPart &  rModelPart, const Variable< array_1d< double, 3 >> &  rOriginVariable, const Variable< double > &  rDestinationVariable, const std::size_t  BufferStep = 0  )

static

Recover the divergence of a vector variable.

Parameters

rModelPart
rOriginVariable
rDestinationVariable
BufferStep

RecoverGradient()

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::RecoverGradient ( ModelPart &  rModelPart, const Variable< double > &  rOriginVariable, const Variable< array_1d< double, 3 >> &  rDestinationVariable, const std::size_t  BufferStep = 0  )

static

Recover the gradient of a scalar variable.

Parameters

rModelPart
rOriginVariable
rDestinationVariable
BufferStep

RecoverLaplacian() [1/2]

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::RecoverLaplacian ( ModelPart &  rModelPart, const Variable< array_1d< double, 3 >> &  rOriginVariable, const Variable< array_1d< double, 3 >> &  rDestinationVariable, const std::size_t  BufferStep = 0  )

static

Recover the laplacian of a vector variable as the gradient of the divergence.

Parameters

rModelPart
rOriginVariable
rDestinationVariable
BufferStep

RecoverLaplacian() [2/2]

template<std::size_t TDim>

void Kratos::DerivativesRecoveryUtility< TDim >::RecoverLaplacian ( ModelPart &  rModelPart, const Variable< double > &  rOriginVariable, const Variable< double > &  rDestinationVariable, const std::size_t  BufferStep = 0  )

static

Recover the laplacian of a scalar variable.

Parameters

rModelPart
rOriginVariable
rDestinationVariable
BufferStep

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

• /home/runner/work/Documentation/Documentation/master/applications/ShallowWaterApplication/custom_utilities/derivatives_recovery_utility.h
• /home/runner/work/Documentation/Documentation/master/applications/ShallowWaterApplication/custom_utilities/derivatives_recovery_utility.cpp