hp3D::HexFunctions Class Reference

Auxiliary functions for hexahedra. More...

#include <hexFunctions.hh>

Static Public Member Functions
static concepts::Real2d	coordTrans (const concepts::Real x, const concepts::Real y, uint k, concepts::Z2 r, concepts::Z4 t)
	Returns the x,y coordinate in the right order with corrected orientation such that physical coordinates on the Hexahedron and on the boundary coincide Real x - first coordinate Real y - second coordinate uint k - face Z2 r - orientation parameter rho Z4 t - quad parameter tau. More...
static concepts::Real2d	coordTransInv (const concepts::Real x, const concepts::Real y, uint k, concepts::Z2 r, concepts::Z4 t)
static void	edgeIndex (const uint i, const uint qIndex, const uint rIndex, uint ll[3])
	Computes the tensor product index ll for an edge with index i and precomputed indices qIndex and rIndex (use edgeOrientation to compute them). More...
static void	edgeOrientation (const uint i, uint &pIndex, uint &qIndex, uint &rIndex)
	Helps distributing the polynomial degree to the edges. More...
static void	faceIndex (const uint i, const uint rIndex, uint ll[3])
	Computes the tensor product index ll for a face with index i and precomputed index rIndex (use faceOrientation to compute it). More...
static void	faceOrientation (const concepts::Hexahedron &cntr, const uint i, uint &pIndex, uint &qIndex, uint &rIndex)
	Helps distributing the polynomial degree to the faces. More...
static void	faceShapefctOrientation (const concepts::Hexahedron &cntr, const uint i, bool &flip0, bool &flip1)
	Determines wether a shape function direction has to flip the sign for the odd degree polynomials. More...
static uint	index (const uint ll[3], const ushort p[3])
	Computes the linear index from the tensor product index ll using the polynomial degrees p. More...
static const concepts::ushort *	setDegreeHex2Quad (const ushort *p, uint k, concepts::Z4 tau)
	This method sets the appropriate polynomial degree for a facequad from a hexahderon depending on its orientation ushort* p the three degrees uint k - face Z4 tau quad parameter tau. More...
static void	vertexIndex (const uint i, uint ll[3])
	Computes the tensor product index ll for a vertex with index i. More...

Detailed Description

Auxiliary functions for hexahedra.

Author

Philipp Frauenfelder, 2002

Definition at line 27 of file hexFunctions.hh.

Member Function Documentation

coordTrans()

static concepts::Real2d hp3D::HexFunctions::coordTrans ( const concepts::Real  x, const concepts::Real  y, uint  k, concepts::Z2  r, concepts::Z4  t  )

static

Returns the x,y coordinate in the right order with corrected orientation such that physical coordinates on the Hexahedron and on the boundary coincide Real x - first coordinate Real y - second coordinate uint k - face Z2 r - orientation parameter rho Z4 t - quad parameter tau.

coordTransInv()

static concepts::Real2d hp3D::HexFunctions::coordTransInv ( const concepts::Real  x, const concepts::Real  y, uint  k, concepts::Z2  r, concepts::Z4  t  )

static

edgeIndex()

static void hp3D::HexFunctions::edgeIndex ( const uint  i, const uint  qIndex, const uint  rIndex, uint  ll[3]  )

static

Computes the tensor product index ll for an edge with index i and precomputed indices qIndex and rIndex (use edgeOrientation to compute them).

Returns

ll

edgeOrientation()

static void hp3D::HexFunctions::edgeOrientation ( const uint  i, uint &  pIndex, uint &  qIndex, uint &  rIndex  )

static

Helps distributing the polynomial degree to the edges.

Parameters

i	Index of the edge [0..11]
pIndex	Index of the polynomial degree of this edge in the array of the element
qIndex,rIndex	Other indices

Returns

pIndex, qIndex, rIndex

faceIndex()

static void hp3D::HexFunctions::faceIndex ( const uint  i, const uint  rIndex, uint  ll[3]  )

static

Computes the tensor product index ll for a face with index i and precomputed index rIndex (use faceOrientation to compute it).

Returns

ll

faceOrientation()

static void hp3D::HexFunctions::faceOrientation ( const concepts::Hexahedron &  cntr, const uint  i, uint &  pIndex, uint &  qIndex, uint &  rIndex  )

static

Helps distributing the polynomial degree to the faces.

Parameters

cntr	Connector
i	Index of the face [0..5]
pIndex	Index of the first polynomial degree of this face in the array of the element
qIndex	Index of the second polynomial degree of this face in the array of the element
rIndex	Other index

Returns

pIndex, qIndex, rIndex

faceShapefctOrientation()

static void hp3D::HexFunctions::faceShapefctOrientation ( const concepts::Hexahedron &  cntr, const uint  i, bool &  flip0, bool &  flip1  )

static

Determines wether a shape function direction has to flip the sign for the odd degree polynomials.

Parameters

cntr	Connector
i	Index of the face [0..5]
flip0	Return value, the first direction has to flip
flip1	Return value, the second direction has to flip

index()

static uint hp3D::HexFunctions::index ( const uint  ll[3], const ushort  p[3]  )

inlinestatic

Computes the linear index from the tensor product index ll using the polynomial degrees p.

Returns

Linear index

Definition at line 86 of file hexFunctions.hh.

setDegreeHex2Quad()

static const concepts::ushort* hp3D::HexFunctions::setDegreeHex2Quad ( const ushort *  p, uint  k, concepts::Z4  tau  )

static

This method sets the appropriate polynomial degree for a facequad from a hexahderon depending on its orientation ushort* p the three degrees uint k - face Z4 tau quad parameter tau.

vertexIndex()

static void hp3D::HexFunctions::vertexIndex ( const uint  i, uint  ll[3]  )

static

Computes the tensor product index ll for a vertex with index i.

Returns

ll

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

• hp3D/hexFunctions.hh