#include <StdNodalTetExp.h>

Inheritance diagram for Nektar::StdRegions::StdNodalTetExp:

Public Member Functions
	StdNodalTetExp ()

	StdNodalTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const LibUtilities::PointsType Ntype)

	StdNodalTetExp (const StdNodalTetExp &T)

	~StdNodalTetExp ()

void	NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y, Array< OneD, const NekDouble > &z)

DNekMatSharedPtr	GenNBasisTransMatrix ()

Public Member Functions inherited from Nektar::StdRegions::StdTetExp
	StdTetExp ()

	StdTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)

	StdTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble coeffs, NekDouble phys)

	StdTetExp (const StdTetExp &T)

	~StdTetExp ()

LibUtilities::ShapeType	DetShapeType () const

NekDouble	PhysEvaluate3D (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
	Single Point Evaluation. More...

Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
	StdExpansion3D ()

	StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)

	StdExpansion3D (const StdExpansion3D &T)

virtual	~StdExpansion3D ()

void	PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
	Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More...

void	BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)

void	IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)

Public Member Functions inherited from Nektar::StdRegions::StdExpansion
	StdExpansion ()
	Default Constructor. More...

	StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
	Constructor. More...

	StdExpansion (const StdExpansion &T)
	Copy Constructor. More...

virtual	~StdExpansion ()
	Destructor. More...

int	GetNumBases () const
	This function returns the number of 1D bases used in the expansion. More...

const Array< OneD, const LibUtilities::BasisSharedPtr > &	GetBase () const
	This function gets the shared point to basis. More...

const LibUtilities::BasisSharedPtr &	GetBasis (int dir) const
	This function gets the shared point to basis in the dir direction. More...

int	GetNcoeffs (void) const
	This function returns the total number of coefficients used in the expansion. More...

int	GetTotPoints () const
	This function returns the total number of quadrature points used in the element. More...

LibUtilities::BasisType	GetBasisType (const int dir) const
	This function returns the type of basis used in the dir direction. More...

int	GetBasisNumModes (const int dir) const
	This function returns the number of expansion modes in the dir direction. More...

int	EvalBasisNumModesMax (void) const
	This function returns the maximum number of expansion modes over all local directions. More...

LibUtilities::PointsType	GetPointsType (const int dir) const
	This function returns the type of quadrature points used in the dir direction. More...

int	GetNumPoints (const int dir) const
	This function returns the number of quadrature points in the dir direction. More...

const Array< OneD, const NekDouble > &	GetPoints (const int dir) const
	This function returns a pointer to the array containing the quadrature points in dir direction. More...

int	GetNverts () const
	This function returns the number of vertices of the expansion domain. More...

int	GetNedges () const
	This function returns the number of edges of the expansion domain. More...

int	GetEdgeNcoeffs (const int i) const
	This function returns the number of expansion coefficients belonging to the i-th edge. More...

int	GetTotalEdgeIntNcoeffs () const

int	GetEdgeNumPoints (const int i) const
	This function returns the number of quadrature points belonging to the i-th edge. More...

int	DetCartesianDirOfEdge (const int edge)

const LibUtilities::BasisKey	DetEdgeBasisKey (const int i) const

const LibUtilities::BasisKey	DetFaceBasisKey (const int i, const int k) const

int	GetFaceNumPoints (const int i) const
	This function returns the number of quadrature points belonging to the i-th face. More...

int	GetFaceNcoeffs (const int i) const
	This function returns the number of expansion coefficients belonging to the i-th face. More...

int	GetFaceIntNcoeffs (const int i) const

int	GetTotalFaceIntNcoeffs () const

int	GetTraceNcoeffs (const int i) const
	This function returns the number of expansion coefficients belonging to the i-th edge/face. More...

LibUtilities::PointsKey	GetFacePointsKey (const int i, const int j) const

int	NumBndryCoeffs (void) const

int	NumDGBndryCoeffs (void) const

LibUtilities::BasisType	GetEdgeBasisType (const int i) const
	This function returns the type of expansion basis on the i-th edge. More...

const LibUtilities::PointsKey	GetNodalPointsKey () const
	This function returns the type of expansion Nodal point type if defined. More...

int	GetNfaces () const
	This function returns the number of faces of the expansion domain. More...

int	GetNtrace () const
	Returns the number of trace elements connected to this element. More...

LibUtilities::ShapeType	DetShapeType () const
	This function returns the shape of the expansion domain. More...

std::shared_ptr< StdExpansion >	GetStdExp (void) const

std::shared_ptr< StdExpansion >	GetLinStdExp (void) const

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion ()

bool	IsNodalNonTensorialExp ()

void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Backward transformation from coefficient space to physical space. More...

void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Forward transformation from physical space to coefficient space. More...

void	FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
	This function integrates the specified function over the domain. More...

void	FillMode (const int mode, Array< OneD, NekDouble > &outarray)
	This function fills the array outarray with the mode-th mode of the expansion. More...

void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	this function calculates the inner product of a given function f with the different modes of the expansion More...

void	IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)

void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

int	GetElmtId ()
	Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...

void	SetElmtId (const int id)
	Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...

void	GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
	this function returns the physical coordinates of the quadrature points of the expansion More...

void	GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
	given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...

DNekMatSharedPtr	GetStdMatrix (const StdMatrixKey &mkey)

DNekBlkMatSharedPtr	GetStdStaticCondMatrix (const StdMatrixKey &mkey)

IndexMapValuesSharedPtr	GetIndexMap (const IndexMapKey &ikey)

const Array< OneD, const NekDouble > &	GetPhysNormals (void)

void	SetPhysNormals (Array< OneD, const NekDouble > &normal)

virtual void	SetUpPhysNormals (const int edge)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)

void	NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)

DNekScalBlkMatSharedPtr	GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

void	DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

StdRegions::Orientation	GetForient (int face)

StdRegions::Orientation	GetEorient (int edge)

void	SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)

void	SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

int	CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)

NekDouble	StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)

int	GetCoordim ()

void	GetBoundaryMap (Array< OneD, unsigned int > &outarray)

void	GetInteriorMap (Array< OneD, unsigned int > &outarray)

int	GetVertexMap (const int localVertexId, bool useCoeffPacking=false)

void	GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

void	GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)

void	GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

void	GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)

void	GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)

void	GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...

void	GetEdgePhysVals (const int edge, const std::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetTracePhysVals (const int edge, const std::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)

void	GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray)
	Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...

void	GetFacePhysVals (const int face, const std::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)

void	GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)

void	GetFacePhysMap (const int face, Array< OneD, int > &outarray)

void	MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

DNekMatSharedPtr	CreateGeneralMatrix (const StdMatrixKey &mkey)
	this function generates the mass matrix \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) More...

void	GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)

void	ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)

void	LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)

void	HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

DNekMatSharedPtr	GenMatrix (const StdMatrixKey &mkey)

void	PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)

void	PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)

void	PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)

void	PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)

void	StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)

void	StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)

void	AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)

NekDouble	PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain. More...

NekDouble	PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain. More...

void	LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
	Convert local cartesian coordinate xi into local collapsed coordinates eta. More...

virtual int	v_GetElmtId ()
	Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...

virtual const Array< OneD, const NekDouble > &	v_GetPhysNormals (void)

virtual void	v_SetPhysNormals (Array< OneD, const NekDouble > &normal)

virtual void	v_SetUpPhysNormals (const int edge)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)

virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)

virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

virtual void	v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

virtual StdRegions::Orientation	v_GetForient (int face)

virtual StdRegions::Orientation	v_GetEorient (int edge)

NekDouble	Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( L_\infty\) error \( \|\epsilon\|_\infty = \max \|u - u_{exact}\|\) where \( u_{exact}\) is given by the array sol. More...

NekDouble	L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( L_2\) error, \( \| \epsilon \|_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...

NekDouble	H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( H^1\) error, \( \| \epsilon \|^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...

const NormalVector &	GetEdgeNormal (const int edge) const

void	ComputeEdgeNormal (const int edge)

void	NegateEdgeNormal (const int edge)

bool	EdgeNormalNegated (const int edge)

void	ComputeFaceNormal (const int face)

void	NegateFaceNormal (const int face)

bool	FaceNormalNegated (const int face)

void	ComputeVertexNormal (const int vertex)

void	NegateVertexNormal (const int vertex)

bool	VertexNormalNegated (const int vertex)

const NormalVector &	GetFaceNormal (const int face) const

const NormalVector &	GetVertexNormal (const int vertex) const

const NormalVector &	GetSurfaceNormal (const int id) const

const LibUtilities::PointsKeyVector	GetPointsKeys () const

Array< OneD, unsigned int >	GetEdgeInverseBoundaryMap (int eid)

Array< OneD, unsigned int >	GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=eNoOrientation, int P1=-1, int P2=-1)

void	GetInverseBoundaryMaps (Array< OneD, unsigned int > &vmap, Array< OneD, Array< OneD, unsigned int > > &emap, Array< OneD, Array< OneD, unsigned int > > &fmap)

DNekMatSharedPtr	BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

void	PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
	This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...

void	GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
	This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...

void	EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...

template<class T >
std::shared_ptr< T >	as ()

void	IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)

Protected Member Functions
virtual const LibUtilities::PointsKey	v_GetNodalPointsKey () const

virtual bool	v_IsNodalNonTensorialExp ()

virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool mult=true)

virtual void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)

virtual int	v_GetVertexMap (const int localVertexId, bool useCoeffPacking=false)

virtual void	v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)

virtual void	v_GetInteriorMap (Array< OneD, unsigned int > &outarray)

virtual DNekMatSharedPtr	v_GenMatrix (const StdMatrixKey &mkey)

virtual DNekMatSharedPtr	v_CreateStdMatrix (const StdMatrixKey &mkey)

Protected Member Functions inherited from Nektar::StdRegions::StdTetExp
virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dx, Array< OneD, NekDouble > &out_dy, Array< OneD, NekDouble > &out_dz)
	Calculate the derivative of the physical points. More...

virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)

virtual void	v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)

virtual void	v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)

virtual void	v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)

virtual void	v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z)

virtual void	v_GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)

virtual int	v_GetNverts () const

virtual int	v_GetNedges () const

virtual int	v_GetNfaces () const

virtual LibUtilities::ShapeType	v_DetShapeType () const

virtual int	v_NumBndryCoeffs () const

virtual int	v_NumDGBndryCoeffs () const

virtual int	v_GetEdgeNcoeffs (const int i) const

virtual int	v_GetTotalEdgeIntNcoeffs () const

virtual int	v_GetFaceNcoeffs (const int i) const

virtual int	v_GetFaceIntNcoeffs (const int i) const

virtual int	v_GetTotalFaceIntNcoeffs () const

virtual int	v_GetFaceNumPoints (const int i) const

virtual LibUtilities::PointsKey	v_GetFacePointsKey (const int i, const int j) const

virtual int	v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)

virtual const LibUtilities::BasisKey	v_DetFaceBasisKey (const int i, const int k) const

virtual LibUtilities::BasisType	v_GetEdgeBasisType (const int i) const

virtual bool	v_IsBoundaryInteriorExpansion ()

virtual void	v_GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P)

virtual void	v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1, int Q=-1)

virtual void	v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

virtual void	v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

virtual void	v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)

virtual void	v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)

Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
virtual NekDouble	v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain. More...

virtual NekDouble	v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)

virtual void	v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)

virtual void	v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)

virtual NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray)
	Integrates the specified function over the domain. More...

virtual void	v_NegateFaceNormal (const int face)

virtual bool	v_FaceNormalNegated (const int face)

virtual int	v_GetTraceNcoeffs (const int i) const

Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr	CreateStdMatrix (const StdMatrixKey &mkey)

DNekBlkMatSharedPtr	CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
	Create the static condensation of a matrix when using a boundary interior decomposition. More...

IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)
	Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More...

void	BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)

void	LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)

void	HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

void	HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)

virtual void	v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

virtual void	v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)

virtual NekDouble	v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)

Protected Attributes
LibUtilities::PointsKey	m_nodalPointsKey

Protected Attributes inherited from Nektar::StdRegions::StdExpansion3D
std::map< int, NormalVector >	m_faceNormals

std::map< int, bool >	m_negatedNormals

Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtr >	m_base

int	m_elmt_id

int	m_ncoeffs

LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess >	m_stdMatrixManager

LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess >	m_stdStaticCondMatrixManager

LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_IndexMapManager

Detailed Description

Definition at line 45 of file StdNodalTetExp.h.

Constructor & Destructor Documentation

◆ StdNodalTetExp() [1/3]

Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp ( )

◆ StdNodalTetExp() [2/3]

Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp	(	const LibUtilities::BasisKey &	Ba,
		const LibUtilities::BasisKey &	Bb,
		const LibUtilities::BasisKey &	Bc,
		const LibUtilities::PointsType	Ntype
	)

Definition at line 44 of file StdNodalTetExp.cpp.

References ASSERTL0, and Nektar::LibUtilities::BasisKey::GetNumModes().

                                          :
             StdExpansion  (LibUtilities::StdTetData::getNumberOfCoefficients(
                                Ba.GetNumModes(),
                                Bb.GetNumModes(),
                                Bc.GetNumModes()),
                            3,Ba,Bb,Bc),
             StdExpansion3D(LibUtilities::StdTetData::getNumberOfCoefficients(
                                Ba.GetNumModes(),
                                Bb.GetNumModes(),
                                Bc.GetNumModes()),
                            Ba,Bb,Bc),
             StdTetExp     (Ba,Bb,Bc),
             m_nodalPointsKey(Ba.GetNumModes(),Ntype)
         {
             ASSERTL0(Ba.GetNumModes() <= Bb.GetNumModes(), 
                      "order in 'a' direction is higher than order "
                      "in 'b' direction");
             ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(), 
                      "order in 'a' direction is higher than order "
                      "in 'c' direction");
             ASSERTL0(Bb.GetNumModes() <= Bc.GetNumModes(),
                      "order in 'b' direction is higher than order "
                      "in 'c' direction");
         }

◆ StdNodalTetExp() [3/3]

Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp ( const StdNodalTetExp & T )

Definition at line 73 of file StdNodalTetExp.cpp.

                                                              :
             StdExpansion(T),
             StdExpansion3D(T),
             StdTetExp(T),
             m_nodalPointsKey(T.m_nodalPointsKey)
         {
         }

◆ ~StdNodalTetExp()

Nektar::StdRegions::StdNodalTetExp::~StdNodalTetExp ( )

Definition at line 81 of file StdNodalTetExp.cpp.

82 {

83 }

Member Function Documentation

◆ GenNBasisTransMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::GenNBasisTransMatrix ( )

Definition at line 146 of file StdNodalTetExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdTetExp::v_FillMode(), and Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate().

Referenced by v_GenMatrix().

         {
             int             i,j;
             Array<OneD, const NekDouble>  r, s, t;
             Array<OneD, NekDouble> c(3);
             DNekMatSharedPtr Mat;
 
             Mat = MemoryManager<DNekMat>::AllocateSharedPtr(
                 m_ncoeffs, m_ncoeffs);
             GetNodalPoints(r,s,t);
 
             //Store the values of m_phys in a temporary array
             int nqtot = GetTotPoints();
             Array<OneD,NekDouble> tmp_phys(nqtot);
             
             for(i = 0; i < m_ncoeffs; ++i)
             {
                 // fill physical space with mode i
                 StdTetExp::v_FillMode(i,tmp_phys);
 
                 // interpolate mode i to the Nodal points 'j' and
                 // store in outarray
                 for(j = 0; j < m_ncoeffs; ++j)
                 {
                     c[0] = r[j];
                     c[1] = s[j];
                     c[2] = t[j];
                     (*Mat)(j,i) = StdTetExp::v_PhysEvaluate(c,tmp_phys);
                 }
             }
             
             return Mat;
         }

◆ GetNodalPoints()

void Nektar::StdRegions::StdNodalTetExp::GetNodalPoints	(	Array< OneD, const NekDouble > &	x,
		Array< OneD, const NekDouble > &	y,
		Array< OneD, const NekDouble > &	z
	)

Definition at line 138 of file StdNodalTetExp.cpp.

References m_nodalPointsKey, and Nektar::LibUtilities::PointsManager().

Referenced by GenNBasisTransMatrix().

         {
             LibUtilities::PointsManager()[m_nodalPointsKey]->GetPoints(x,y,z);
         }

◆ ModalToNodal()

void Nektar::StdRegions::StdNodalTetExp::ModalToNodal	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

Definition at line 123 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::StdRegions::eNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

         {
             StdMatrixKey      Nkey(eNBasisTrans, DetShapeType(), *this,
                                     NullConstFactorMap, NullVarCoeffMap,
                                     m_nodalPointsKey.GetPointsType());
             DNekMatSharedPtr  vdm = GetStdMatrix(Nkey);
 
             // Multiply out matrix
             NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
             NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
             nodal = (*vdm)*modal;
         }

◆ NodalToModal()

void Nektar::StdRegions::StdNodalTetExp::NodalToModal	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

Definition at line 94 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_BwdTrans_SumFac().

         {
             StdMatrixKey   Nkey(eInvNBasisTrans, DetShapeType(), *this,
                                 NullConstFactorMap, NullVarCoeffMap,
                                 m_nodalPointsKey.GetPointsType());
             DNekMatSharedPtr  inv_vdm = GetStdMatrix(Nkey);
 
             NekVector<NekDouble> nodal(m_ncoeffs,inarray,eWrapper);
             NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
             modal = (*inv_vdm) * nodal;
         }

◆ NodalToModalTranspose()

void Nektar::StdRegions::StdNodalTetExp::NodalToModalTranspose	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

Definition at line 109 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and Nektar::Transpose().

Referenced by v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase_SumFac().

         {
             StdMatrixKey   Nkey(eInvNBasisTrans, DetShapeType(), *this,
                                 NullConstFactorMap, NullVarCoeffMap,
                                 m_nodalPointsKey.GetPointsType());
             DNekMatSharedPtr  inv_vdm = GetStdMatrix(Nkey);
 
             NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
             NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
             modal = Transpose(*inv_vdm) * nodal;
         }

◆ v_BwdTrans()

void Nektar::StdRegions::StdNodalTetExp::v_BwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Note: 'r' (base[2]) runs fastest in this element

\( u^{\delta} (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{m(pqr)} \hat u_{pqr} \phi_{pqr} (\xi_{1i}, \xi_{2j}, \xi_{3k})\)

Backward transformation is three dimensional tensorial expansion \( u (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_p^a (\xi_{1i}) \lbrace { \sum_{q=0}^{Q_y} \psi_{pq}^b (\xi_{2j}) \lbrace { \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pqr}^c (\xi_{3k}) \rbrace} \rbrace}. \) And sumfactorizing step of the form is as:\

\( f_{pq} (\xi_{3k}) = \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pqr}^c (\xi_{3k}),\\ g_{p} (\xi_{2j}, \xi_{3k}) = \sum_{r=0}^{Q_y} \psi_{pq}^b (\xi_{2j}) f_{pq} (\xi_{3k}),\\ u(\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_{p}^a (\xi_{1i}) g_{p} (\xi_{2j}, \xi_{3k}). \)

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 185 of file StdNodalTetExp.cpp.

References v_BwdTrans_SumFac().

Referenced by v_FillMode(), and v_GetNodalPointsKey().

         {
             v_BwdTrans_SumFac(inarray,outarray);
         }

◆ v_BwdTrans_SumFac()

void Nektar::StdRegions::StdNodalTetExp::v_BwdTrans_SumFac	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Sum-factorisation implementation of the BwdTrans operation.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 192 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, NodalToModal(), and Nektar::StdRegions::StdTetExp::v_BwdTrans_SumFac().

Referenced by v_BwdTrans(), and v_GetNodalPointsKey().

         {
             Array<OneD, NekDouble> tmp(m_ncoeffs);
             NodalToModal(inarray,tmp);
             StdTetExp::v_BwdTrans_SumFac(tmp,outarray);
         }

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::v_CreateStdMatrix ( const StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 414 of file StdNodalTetExp.cpp.

References v_GenMatrix().

Referenced by v_GetNodalPointsKey().

         {
             return StdNodalTetExp::v_GenMatrix(mkey);
         }

◆ v_FillMode()

void Nektar::StdRegions::StdNodalTetExp::v_FillMode	(	const int	mode,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 262 of file StdNodalTetExp.cpp.

References ASSERTL2, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_BwdTrans(), and Vmath::Zero().

Referenced by v_GetNodalPointsKey().

         {
             ASSERTL2(mode >= m_ncoeffs, 
                 "calling argument mode is larger than total expansion order");
 
             Vmath::Zero(m_ncoeffs, outarray, 1);
             outarray[mode] = 1.0;
             v_BwdTrans(outarray,outarray);
         }

◆ v_FwdTrans()

void Nektar::StdRegions::StdNodalTetExp::v_FwdTrans	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Parameters

inarray	array of physical quadrature points to be transformed.
outarray	updated array of expansion coefficients.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 201 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and v_IProductWRTBase().

Referenced by v_GetNodalPointsKey().

         {
             v_IProductWRTBase(inarray,outarray);
             
             // get Mass matrix inverse
             StdMatrixKey      masskey(eInvMass, DetShapeType(), *this,
                                       NullConstFactorMap, NullVarCoeffMap,
                                       m_nodalPointsKey.GetPointsType());
             DNekMatSharedPtr  matsys = GetStdMatrix(masskey);
 
             // copy inarray in case inarray == outarray
             NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
             NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
             
             out = (*matsys)*in;
         }

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::v_GenMatrix ( const StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 397 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eNBasisTrans, GenNBasisTransMatrix(), and Nektar::StdRegions::StdMatrixKey::GetMatrixType().

Referenced by v_CreateStdMatrix(), and v_GetNodalPointsKey().

         {
             DNekMatSharedPtr Mat;
             
             switch(mkey.GetMatrixType())
             {
                 case eNBasisTrans:
                     Mat = GenNBasisTransMatrix();
                     break;
                 default:
                     Mat = StdExpansion::CreateGeneralMatrix(mkey);
                     break;
             }
             
             return Mat;
         }

◆ v_GetBoundaryMap()

void Nektar::StdRegions::StdNodalTetExp::v_GetBoundaryMap ( Array< OneD, unsigned int > & outarray )

protectedvirtual

List of all boundary modes in the the expansion.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 357 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

Referenced by v_GetNodalPointsKey().

         {
             unsigned int i;
             const unsigned int nBndryCoeff = NumBndryCoeffs();
             
             if (outarray.num_elements() != nBndryCoeff)
             {
                 outarray = Array<OneD, unsigned int>(nBndryCoeff);
             }
             
             for (i = 0; i < nBndryCoeff; i++)
             {
                 outarray[i] = i;
             }
         }

◆ v_GetInteriorMap()

void Nektar::StdRegions::StdNodalTetExp::v_GetInteriorMap ( Array< OneD, unsigned int > & outarray )

protectedvirtual

List of all interior modes in the expansion.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 374 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

Referenced by v_GetNodalPointsKey().

         {
             unsigned int i;
             const unsigned int nBndryCoeff = NumBndryCoeffs();
 
             if (outarray.num_elements() != m_ncoeffs-nBndryCoeff)
             {
                 outarray = Array<OneD, unsigned int>(
                     m_ncoeffs-nBndryCoeff);
             }
 
             for (i = nBndryCoeff; i < m_ncoeffs; i++)
             {
                 outarray[i-nBndryCoeff] = i;
             }
         }

◆ v_GetNodalPointsKey()

virtual const LibUtilities::PointsKey Nektar::StdRegions::StdNodalTetExp::v_GetNodalPointsKey ( ) const

inlineprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 78 of file StdNodalTetExp.h.

References m_nodalPointsKey, STD_REGIONS_EXPORT, v_BwdTrans(), v_BwdTrans_SumFac(), v_CreateStdMatrix(), v_FillMode(), v_FwdTrans(), v_GenMatrix(), v_GetBoundaryMap(), v_GetInteriorMap(), v_GetVertexMap(), v_IProductWRTBase(), v_IProductWRTBase_SumFac(), v_IProductWRTDerivBase(), v_IProductWRTDerivBase_SumFac(), and v_IsNodalNonTensorialExp().

             {
                 return m_nodalPointsKey;
             };

◆ v_GetVertexMap()

int Nektar::StdRegions::StdNodalTetExp::v_GetVertexMap	(	const int	localVertexId,
		bool	useCoeffPacking = `false`
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 348 of file StdNodalTetExp.cpp.

References ASSERTL0.

Referenced by v_GetNodalPointsKey().

         {
             boost::ignore_unused(useCoeffPacking);
             ASSERTL0(localVertexId >= 0 && localVertexId <= 3,
                      "Local Vertex ID must be between 0 and 3");                
             return localVertexId;
         }

◆ v_IProductWRTBase()

void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTBase	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

\( \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = & \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a} (\eta_{1i}) \psi_{pq}^{b} (\eta_{2j}) \psi_{pqr}^{c} (\eta_{3k}) w_i w_j w_k u(\eta_{1,i} \eta_{2,j} \eta_{3,k}) J_{i,j,k}\\ & = & \sum_{i=0}^{nq_0} \psi_p^a(\eta_{1,i}) \sum_{j=0}^{nq_1} \psi_{pq}^b(\eta_{2,j}) \sum_{k=0}^{nq_2} \psi_{pqr}^c u(\eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k} \end{array} \)
where

\( \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\eta_1) \psi_{pq}^b (\eta_2) \psi_{pqr}^c (\eta_3) \)

which can be implemented as
\(f_{pqr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pqr}^c u(\eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k} = {\bf B_3 U} \)
\( g_{pq} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{pq}^b (\xi_{2j}) f_{pqr} (\xi_{3k}) = {\bf B_2 F} \)
\( (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{pq} (\xi_{3k}) = {\bf B_1 G} \)

Parameters

inarray	Function evaluated at physical collocation points.
outarray	Inner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 225 of file StdNodalTetExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans(), and v_GetNodalPointsKey().

         {
             v_IProductWRTBase_SumFac(inarray,outarray);
         }

◆ v_IProductWRTBase_SumFac()

void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTBase_SumFac	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		bool	multiplybyweights = `true`
	)

protectedvirtual

Parameters

inarray	Function evaluated at physical collocation points.
outarray	Inner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 232 of file StdNodalTetExp.cpp.

References NodalToModalTranspose(), and Nektar::StdRegions::StdTetExp::v_IProductWRTBase_SumFac().

Referenced by v_GetNodalPointsKey(), and v_IProductWRTBase().

         {
             StdTetExp::v_IProductWRTBase_SumFac(inarray,outarray,multiplybyweights);
             NodalToModalTranspose(outarray,outarray);    
         }

◆ v_IProductWRTDerivBase()

void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTDerivBase	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 241 of file StdNodalTetExp.cpp.

References v_IProductWRTDerivBase_SumFac().

Referenced by v_GetNodalPointsKey().

         {
             v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
         }

◆ v_IProductWRTDerivBase_SumFac()

void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTDerivBase_SumFac	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Parameters

inarray	Function evaluated at physical collocation points.
outarray	Inner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 249 of file StdNodalTetExp.cpp.

References NodalToModalTranspose(), and Nektar::StdRegions::StdTetExp::v_IProductWRTDerivBase_SumFac().

Referenced by v_GetNodalPointsKey(), and v_IProductWRTDerivBase().

         {
             StdTetExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
             NodalToModalTranspose(outarray,outarray);
         }

◆ v_IsNodalNonTensorialExp()

bool Nektar::StdRegions::StdNodalTetExp::v_IsNodalNonTensorialExp ( )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 85 of file StdNodalTetExp.cpp.

Referenced by v_GetNodalPointsKey().

         {
             return true;
         }

Member Data Documentation

◆ m_nodalPointsKey

LibUtilities::PointsKey Nektar::StdRegions::StdNodalTetExp::m_nodalPointsKey

protected

Definition at line 76 of file StdNodalTetExp.h.

Referenced by GetNodalPoints(), ModalToNodal(), NodalToModal(), NodalToModalTranspose(), v_FwdTrans(), and v_GetNodalPointsKey().

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ StdNodalTetExp() [1/3]

◆ StdNodalTetExp() [2/3]

◆ StdNodalTetExp() [3/3]

◆ ~StdNodalTetExp()

Member Function Documentation

◆ GenNBasisTransMatrix()

◆ GetNodalPoints()

◆ ModalToNodal()

◆ NodalToModal()

◆ NodalToModalTranspose()

◆ v_BwdTrans()

◆ v_BwdTrans_SumFac()

◆ v_CreateStdMatrix()

◆ v_FillMode()

◆ v_FwdTrans()

◆ v_GenMatrix()

◆ v_GetBoundaryMap()

◆ v_GetInteriorMap()

◆ v_GetNodalPointsKey()

◆ v_GetVertexMap()

◆ v_IProductWRTBase()

◆ v_IProductWRTBase_SumFac()

◆ v_IProductWRTDerivBase()

◆ v_IProductWRTDerivBase_SumFac()

◆ v_IsNodalNonTensorialExp()

Member Data Documentation

◆ m_nodalPointsKey