Kratos::SplitTetrahedraUtilities Class Reference

#include <split_tetrahedra_utilities.h>

Collaboration diagram for Kratos::SplitTetrahedraUtilities:

Static Public Member Functions
template<class TMatrixType , class TVectorType , class TGradientType >
static int	CalculateSplitTetrahedraShapeFuncions (TMatrixType const &rPoints, TGradientType const &DN_DX, TVectorType &rDistances, TVectorType &rVolumes, TMatrixType &rShapeFunctionValues, TVectorType &rPartitionsSign, TVectorType &rEdgeAreas)

Detailed Description

This function implements the element splitting, where the position of the discontinuity is prescribed by giving a level set function prescribing the distance. WARNING: the function works only for simplicial elements (Triangles and tetrahedras) TODO: only implemented for Tetrahedras so far TODO: this must be a master class for the enriched tetraedra utility. reimplement the enriched one.

WARNING: difficulties can be expected if the division prescribed passes exactly in one node or if one of the two sides has a volume approximately 0.

Member Function Documentation

CalculateSplitTetrahedraShapeFuncions()

template<class TMatrixType , class TVectorType , class TGradientType >

static int Kratos::SplitTetrahedraUtilities::CalculateSplitTetrahedraShapeFuncions ( TMatrixType const &  rPoints, TGradientType const &  DN_DX, TVectorType &  rDistances, TVectorType &  rVolumes, TMatrixType &  rShapeFunctionValues, TVectorType &  rPartitionsSign, TVectorType &  rEdgeAreas  )

inlinestatic

The method to calculate the ernriched shape functions for given tetrahedra.

Parameters

rPoints	A 4x3 matrix where row i has the coordinates of node i.
DN_DX	The gradient of the shape functions Ni respect to the reference coordinates
rDistances	is an input vector of 4 size which holds relative distance (not need to be exact) for each node. it is used internally to mark the position of the zero level
rVolumes	Result vector with size 6 (maximumn number of partitions) holding the volume of each partition
rShapeFunctionValues	Result 6x4 matrix where each row represents a partition and holds the shape functions N1 to N4 of the original tetrahedra evaluated in the 4 gauss point of each computed partition. so that it is N(gauss_index, node_index)
rPartitionsSign	A result vector of 6 holding the sign of the distance for the partition. The value -1 represents the negative distance sign, 1 represents positive distance and 0 stands for not used partition
rEdgeAreas	A result vector containing the edge intersection surface area associated to each intersection point in the cut edges.

Returns

number of partitions created which can be from 1 to 6. 1 holds for only 1 partition which is the original element. (No partitioning needed)

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

• /home/runner/work/Documentation/Documentation/master/kratos/utilities/split_tetrahedra_utilities.h