#include <TetExp.h>

Inheritance diagram for Nektar::LocalRegions::TetExp:

Public Member Functions
	TetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const SpatialDomains::TetGeomSharedPtr &geom)
	Constructor using BasisKey class for quadrature points and order definition. More...

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

	~TetExp ()
	Destructor. More...

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)

int	GetNedges () const
	return the number of edges in 3D expansion More...

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

void	GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards)

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

int	GetTraceIntNcoeffs (const int i) const

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

const LibUtilities::BasisKey	GetTraceBasisKey (const int i, int k=-1) const
	This function returns the basis key belonging to the i-th trace. More...

LibUtilities::PointsKey	GetTracePointsKey (const int i, int k=-1) const
	This function returns the basis key belonging to the i-th trace. More...

int	NumBndryCoeffs (void) const

int	NumDGBndryCoeffs (void) const

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

int	GetNtraces () 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)

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)

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	GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)

void	GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)

void	GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

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)

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...

NekDouble	PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
	This function evaluates the basis function mode `mode` at a point `coords` 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...

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

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)

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 LibUtilities::PointsKeyVector	GetPointsKeys () const

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)

void	GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

Public Member Functions inherited from Nektar::LocalRegions::Expansion3D
	Expansion3D (SpatialDomains::Geometry3DSharedPtr pGeom)

virtual	~Expansion3D ()

void	SetTraceToGeomOrientation (Array< OneD, NekDouble > &inout)
	Align trace orientation with the geometry orientation. More...

void	SetFaceToGeomOrientation (const int face, Array< OneD, NekDouble > &inout)
	Align face orientation with the geometry orientation. More...

void	AddHDGHelmholtzFaceTerms (const NekDouble tau, const int edge, Array< OneD, NekDouble > &facePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)

void	AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray)

void	AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs)

void	AddFaceBoundaryInt (const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)

SpatialDomains::Geometry3DSharedPtr	GetGeom3D () const

void	v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1)

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

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

Array< OneD, unsigned int >	GetTraceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=StdRegions::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)

Public Member Functions inherited from Nektar::LocalRegions::Expansion
	Expansion (SpatialDomains::GeometrySharedPtr pGeom)

	Expansion (const Expansion &pSrc)

virtual	~Expansion ()

void	SetTraceExp (const int traceid, ExpansionSharedPtr &f)

ExpansionSharedPtr	GetTraceExp (const int traceid)

DNekScalMatSharedPtr	GetLocMatrix (const LocalRegions::MatrixKey &mkey)

DNekScalMatSharedPtr	GetLocMatrix (const StdRegions::MatrixType mtype, const StdRegions::ConstFactorMap &factors=StdRegions::NullConstFactorMap, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)

SpatialDomains::GeometrySharedPtr	GetGeom () const

void	Reset ()

IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)

const SpatialDomains::GeomFactorsSharedPtr &	GetMetricInfo () const

DNekMatSharedPtr	BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)

DNekMatSharedPtr	BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

void	ExtractDataToCoeffs (const NekDouble data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble coeffs, std::vector< LibUtilities::BasisType > &fromType)

void	AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

void	AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

void	AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

void	DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)

NekDouble	VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)

IndexMapValuesSharedPtr	GetIndexMap (const IndexMapKey &ikey)

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

ExpansionSharedPtr	GetLeftAdjacentElementExp () const

ExpansionSharedPtr	GetRightAdjacentElementExp () const

int	GetLeftAdjacentElementTrace () const

int	GetRightAdjacentElementTrace () const

void	SetAdjacentElementExp (int traceid, ExpansionSharedPtr &e)

StdRegions::Orientation	GetTraceOrient (int trace)

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

void	DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Divided by the metric jacobi and quadrature weights. More...

void	GetTraceQFactors (const int trace, 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	GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=StdRegions::eNoOrientation)

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

void	ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1)

const NormalVector &	GetTraceNormal (const int id) const

void	ComputeTraceNormal (const int id)

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

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

void	SetUpPhysNormals (const int trace)

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

virtual void	AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs)

const Array< OneD, const NekDouble > &	GetElmtBndNormDirElmtLen (const int nbnd) const

Protected Member Functions
virtual NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray)
	Integrate the physical point list inarray over region. More...

virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
	Differentiate inarray in the three coordinate directions. More...

virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs. More...

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Calculate the inner product of inarray with respect to the basis B=m_base0m_base1m_base2 and put into outarray: More...

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

virtual void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Calculates the inner product \( I_{pqr} = (u, \partial_{x_i} \phi_{pqr}) \). More...

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

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

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

virtual void	v_GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
	Get the coordinates "coords" at the local coordinates "Lcoords". More...

virtual void	v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)

virtual LibUtilities::ShapeType	v_DetShapeType () const
	Return Shape of region, using ShapeType enum list. More...

virtual StdRegions::StdExpansionSharedPtr	v_GetStdExp (void) const

virtual StdRegions::StdExpansionSharedPtr	v_GetLinStdExp (void) const

virtual int	v_GetCoordim ()

virtual void	v_ExtractDataToCoeffs (const NekDouble data, const std::vector< unsigned int > &nummodes, const int mode_offset, NekDouble coeffs, std::vector< LibUtilities::BasisType > &fromType)

virtual void	v_GetTracePhysMap (const int face, Array< OneD, int > &outarray)
	Returns the physical values at the quadrature points of a face. More...

void	v_ComputeTraceNormal (const int face)
	Compute the normal of a triangular face. More...

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

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

virtual void	v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)

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

virtual DNekMatSharedPtr	v_GenMatrix (const StdRegions::StdMatrixKey &mkey)

DNekScalMatSharedPtr	CreateMatrix (const MatrixKey &mkey)

DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)

virtual DNekMatSharedPtr	v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)

virtual DNekScalMatSharedPtr	v_GetLocMatrix (const MatrixKey &mkey)

virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const MatrixKey &mkey)

void	v_DropLocStaticCondMatrix (const MatrixKey &mkey)

void	SetUpInverseTransformationMatrix (const DNekMatSharedPtr &m_transformationmatrix, DNekMatSharedPtr m_inversetransformationmatrix, DNekMatSharedPtr m_inversetransposedtransformationmatrix)

void	v_ComputeConditionNumberOfMatrix (const DNekScalMatSharedPtr &mat)

virtual void	v_ComputeLaplacianMetric ()

Protected Member Functions inherited from Nektar::StdRegions::StdTetExp
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 (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_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_IProductWRTDerivBase_SumFac (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_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)

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

NekDouble	v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final

virtual void	v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

virtual int	v_GetNverts () const

virtual int	v_GetNedges () const

virtual int	v_GetNtraces () const

virtual int	v_NumBndryCoeffs () const

virtual int	v_NumDGBndryCoeffs () const

virtual int	v_GetTraceNcoeffs (const int i) const

virtual int	v_GetTotalTraceIntNcoeffs () const

virtual int	v_GetTraceIntNcoeffs (const int i) const

virtual int	v_GetTraceNumPoints (const int i) const

virtual int	v_GetEdgeNcoeffs (const int i) const

virtual LibUtilities::PointsKey	v_GetTracePointsKey (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_GetTraceBasisKey (const int i, const int k) const

virtual bool	v_IsBoundaryInteriorExpansion ()

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

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

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

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

virtual void	v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

virtual void	v_GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)

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

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, 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 void	v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

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...

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

template<int DIR>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
	This function performs the barycentric interpolation of the polynomial stored in `coord` at a point `physvals` using barycentric interpolation weights in direction. More...

template<int DIR>
NekDouble	BaryEvaluateBasis (const NekDouble &coord, const int &mode)

Protected Member Functions inherited from Nektar::LocalRegions::Expansion3D
virtual void	v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &out_d)
	Evaluate coefficients of weak deriviative in the direction dir given the input coefficicents incoeffs and the imposed boundary values in EdgeExp (which will have its phys space updated). More...

virtual void	v_AddFaceNormBoundaryInt (const int face, const ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

virtual void	v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)

virtual StdRegions::Orientation	v_GetTraceOrient (int face)

virtual void	v_GetTracePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
	Extract the physical values along face face from inarray into outarray following the local face orientation and point distribution defined by defined in FaceExp. More...

void	GetPhysFaceVarCoeffsFromElement (const int face, ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &varcoeff, Array< OneD, NekDouble > &outarray)

virtual Array< OneD, NekDouble >	v_GetnFacecdotMF (const int dir, const int face, ExpansionSharedPtr &FaceExp_f, const Array< OneD, const Array< OneD, NekDouble > > &normals, const StdRegions::VarCoeffMap &varcoeffs)

virtual DNekMatSharedPtr	v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)

virtual DNekMatSharedPtr	v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &transformationmatrix)
	Build inverse and inverse transposed transformation matrix: \(\mathbf{R^{-1}}\) and \(\mathbf{R^{-T}}\). More...

virtual DNekMatSharedPtr	v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

virtual const NormalVector &	v_GetTraceNormal (const int face) const

Protected Member Functions inherited from Nektar::LocalRegions::Expansion
void	ComputeLaplacianMetric ()

void	ComputeQuadratureMetric ()

void	ComputeGmatcdotMF (const Array< TwoD, const NekDouble > &df, const Array< OneD, const NekDouble > &direction, Array< OneD, Array< OneD, NekDouble > > &dfdir)

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

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

Array< OneD, NekDouble >	v_GetMF (const int dir, const int shapedim, const StdRegions::VarCoeffMap &varcoeffs)

Array< OneD, NekDouble >	v_GetMFDiv (const int dir, const StdRegions::VarCoeffMap &varcoeffs)

Array< OneD, NekDouble >	v_GetMFMag (const int dir, const StdRegions::VarCoeffMap &varcoeffs)

virtual void	v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)

virtual void	v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

virtual void	v_AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

virtual NekDouble	v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)

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

virtual void	v_GetTraceQFactors (const int trace, Array< OneD, NekDouble > &outarray)

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

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

virtual void	v_SetUpPhysNormals (const int id)

virtual void	v_AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs)

Private Member Functions
	TetExp ()

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

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

Private Attributes
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess >	m_matrixManager

LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess >	m_staticCondMatrixManager

Additional Inherited Members
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

Protected Attributes inherited from Nektar::LocalRegions::Expansion3D
std::map< int, NormalVector >	m_faceNormals

Protected Attributes inherited from Nektar::LocalRegions::Expansion
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_indexMapManager

std::vector< ExpansionWeakPtr >	m_traceExp

SpatialDomains::GeometrySharedPtr	m_geom

SpatialDomains::GeomFactorsSharedPtr	m_metricinfo

MetricMap	m_metrics

ExpansionWeakPtr	m_elementLeft

ExpansionWeakPtr	m_elementRight

int	m_elementTraceLeft = -1

int	m_elementTraceRight = -1

std::map< int, Array< OneD, NekDouble > >	m_elmtBndNormDirElmtLen
	the element length in each element boundary(Vertex, edge or face) normal direction calculated based on the local m_metricinfo times the standard element length (which is 2.0) More...

Detailed Description

Defines a Tetrahedral local expansion.

Definition at line 50 of file TetExp.h.

Constructor & Destructor Documentation

◆ TetExp() [1/3]

Nektar::LocalRegions::TetExp::TetExp	(	const LibUtilities::BasisKey &	Ba,
		const LibUtilities::BasisKey &	Bb,
		const LibUtilities::BasisKey &	Bc,
		const SpatialDomains::TetGeomSharedPtr &	geom
	)

Constructor using BasisKey class for quadrature points and order definition.

Parameters

Ba	Basis key for first coordinate.
Bb	Basis key for second coordinate.
Bc	Basis key for third coordinate.

Definition at line 61 of file TetExp.cpp.

                          :
             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),
             Expansion     (geom),
             Expansion3D   (geom),
             m_matrixManager(
                 std::bind(&TetExp::CreateMatrix, this, std::placeholders::_1),
                 std::string("TetExpMatrix")),
             m_staticCondMatrixManager(
                 std::bind(&TetExp::CreateStaticCondMatrix, this, std::placeholders::_1),
                 std::string("TetExpStaticCondMatrix"))
         {
         }

◆ TetExp() [2/3]

Nektar::LocalRegions::TetExp::TetExp ( const TetExp & T )

Copy Constructor.

Definition at line 90 of file TetExp.cpp.

                                      :
             StdRegions::StdExpansion(T),
             StdRegions::StdExpansion3D(T),
             StdRegions::StdTetExp(T),
             Expansion(T),
             Expansion3D(T),
             m_matrixManager(T.m_matrixManager),
             m_staticCondMatrixManager(T.m_staticCondMatrixManager)
         {
         }

◆ ~TetExp()

Nektar::LocalRegions::TetExp::~TetExp ( )

Destructor.

Definition at line 104 of file TetExp.cpp.

105 {

106 }

◆ TetExp() [3/3]

Nektar::LocalRegions::TetExp::TetExp ( )

private

Member Function Documentation

◆ CreateMatrix()

DNekScalMatSharedPtr Nektar::LocalRegions::TetExp::CreateMatrix ( const MatrixKey & mkey )

protected

Definition at line 1105 of file TetExp.cpp.

         {
             DNekScalMatSharedPtr returnval;
             LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
  
             ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
  
             switch(mkey.GetMatrixType())
             {
             case StdRegions::eMass:
                 {
                     if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
                             mkey.GetNVarCoeff())
                     {
                         NekDouble one = 1.0;
                         DNekMatSharedPtr mat = GenMatrix(mkey);
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                     }
                     else
                     {
                         NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
                         DNekMatSharedPtr mat = GetStdMatrix(mkey);
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,mat);
                     }
                 }
                 break;
             case StdRegions::eInvMass:
                 {
                     if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
                     {
                         NekDouble one = 1.0;
                         StdRegions::StdMatrixKey masskey(StdRegions::eMass,DetShapeType(),
                                                          *this);
                         DNekMatSharedPtr mat = GenMatrix(masskey);
                         mat->Invert();
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                     }
                     else
                     {
                         NekDouble fac = 1.0/(m_metricinfo->GetJac(ptsKeys))[0];
                         DNekMatSharedPtr mat = GetStdMatrix(mkey);
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(fac,mat);
                     }
                 }
                 break;
             case StdRegions::eWeakDeriv0:
             case StdRegions::eWeakDeriv1:
             case StdRegions::eWeakDeriv2:
                 {
                     if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
                             mkey.GetNVarCoeff())
                     {
                         NekDouble one = 1.0;
                         DNekMatSharedPtr mat = GenMatrix(mkey);
  
                         returnval = MemoryManager<DNekScalMat>
                                                 ::AllocateSharedPtr(one,mat);
                     }
                     else
                     {
                         NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
                         Array<TwoD, const NekDouble> df
                                     = m_metricinfo->GetDerivFactors(ptsKeys);
                         int dir = 0;
  
                         switch(mkey.GetMatrixType())
                         {
                             case StdRegions::eWeakDeriv0:
                                 dir = 0;
                                 break;
                             case StdRegions::eWeakDeriv1:
                                 dir = 1;
                                 break;
                             case StdRegions::eWeakDeriv2:
                                 dir = 2;
                                 break;
                             default:
                                 break;
                         }
  
                         MatrixKey deriv0key(StdRegions::eWeakDeriv0,
                                             mkey.GetShapeType(), *this);
                         MatrixKey deriv1key(StdRegions::eWeakDeriv1,
                                             mkey.GetShapeType(), *this);
                         MatrixKey deriv2key(StdRegions::eWeakDeriv2,
                                             mkey.GetShapeType(), *this);
  
                         DNekMat &deriv0 = *GetStdMatrix(deriv0key);
                         DNekMat &deriv1 = *GetStdMatrix(deriv1key);
                         DNekMat &deriv2 = *GetStdMatrix(deriv2key);
  
                         int rows = deriv0.GetRows();
                         int cols = deriv1.GetColumns();
  
                         DNekMatSharedPtr WeakDeriv = MemoryManager<DNekMat>
                                                 ::AllocateSharedPtr(rows,cols);
                         (*WeakDeriv) = df[3*dir][0]*deriv0
                                      + df[3*dir+1][0]*deriv1
                                      + df[3*dir+2][0]*deriv2;
  
                         returnval = MemoryManager<DNekScalMat>
                                             ::AllocateSharedPtr(jac,WeakDeriv);
                     }
                 }
                 break;
             case StdRegions::eLaplacian:
                 {
                     if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
                        (mkey.GetNVarCoeff() > 0)||(mkey.ConstFactorExists(StdRegions::eFactorSVVCutoffRatio)))
                     {
                         NekDouble one = 1.0;
                         DNekMatSharedPtr mat = GenMatrix(mkey);
  
                         returnval = MemoryManager<DNekScalMat>
                                                 ::AllocateSharedPtr(one,mat);
                     }
                     else
                     {
                         MatrixKey lap00key(StdRegions::eLaplacian00,
                                            mkey.GetShapeType(), *this);
                         MatrixKey lap01key(StdRegions::eLaplacian01,
                                            mkey.GetShapeType(), *this);
                         MatrixKey lap02key(StdRegions::eLaplacian02,
                                            mkey.GetShapeType(), *this);
                         MatrixKey lap11key(StdRegions::eLaplacian11,
                                            mkey.GetShapeType(), *this);
                         MatrixKey lap12key(StdRegions::eLaplacian12,
                                            mkey.GetShapeType(), *this);
                         MatrixKey lap22key(StdRegions::eLaplacian22,
                                            mkey.GetShapeType(), *this);
  
                         DNekMat &lap00 = *GetStdMatrix(lap00key);
                         DNekMat &lap01 = *GetStdMatrix(lap01key);
                         DNekMat &lap02 = *GetStdMatrix(lap02key);
                         DNekMat &lap11 = *GetStdMatrix(lap11key);
                         DNekMat &lap12 = *GetStdMatrix(lap12key);
                         DNekMat &lap22 = *GetStdMatrix(lap22key);
  
                         NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
                         Array<TwoD, const NekDouble> gmat
                                             = m_metricinfo->GetGmat(ptsKeys);
  
                         int rows = lap00.GetRows();
                         int cols = lap00.GetColumns();
  
                         DNekMatSharedPtr lap = MemoryManager<DNekMat>
                                                 ::AllocateSharedPtr(rows,cols);
  
                         (*lap)  = gmat[0][0]*lap00
                                 + gmat[4][0]*lap11
                                 + gmat[8][0]*lap22
                                 + gmat[3][0]*(lap01 + Transpose(lap01))
                                 + gmat[6][0]*(lap02 + Transpose(lap02))
                                 + gmat[7][0]*(lap12 + Transpose(lap12));
  
                         returnval = MemoryManager<DNekScalMat>
                                                 ::AllocateSharedPtr(jac,lap);
                     }
                 }
                 break;
             case StdRegions::eHelmholtz:
                 {
                     NekDouble factor = mkey.GetConstFactor(StdRegions::eFactorLambda);
                     MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
                     DNekScalMat &MassMat = *(this->m_matrixManager[masskey]);
                     MatrixKey lapkey(StdRegions::eLaplacian, mkey.GetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
                     DNekScalMat &LapMat = *(this->m_matrixManager[lapkey]);
  
                     int rows = LapMat.GetRows();
                     int cols = LapMat.GetColumns();
  
                     DNekMatSharedPtr helm = MemoryManager<DNekMat>::AllocateSharedPtr(rows, cols);
  
                     NekDouble one = 1.0;
                     (*helm) = LapMat + factor*MassMat;
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one, helm);
                 }
                 break;
             case StdRegions::eIProductWRTBase:
                 {
                     if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
                     {
                         NekDouble one = 1.0;
                         DNekMatSharedPtr mat = GenMatrix(mkey);
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                     }
                     else
                     {
                         NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
                         DNekMatSharedPtr mat = GetStdMatrix(mkey);
                         returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,mat);
                     }
                 }
                 break;
             case StdRegions::eHybridDGHelmholtz:
             case StdRegions::eHybridDGLamToU:
             case StdRegions::eHybridDGLamToQ0:
             case StdRegions::eHybridDGLamToQ1:
             case StdRegions::eHybridDGLamToQ2:
             case StdRegions::eHybridDGHelmBndLam:
             case StdRegions::eInvLaplacianWithUnityMean:
                 {
                     NekDouble one    = 1.0;
  
                     DNekMatSharedPtr mat = GenMatrix(mkey);
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                 }
                 break;
             case StdRegions::eInvHybridDGHelmholtz:
                 {
                     NekDouble one = 1.0;
  
                     MatrixKey hkey(StdRegions::eHybridDGHelmholtz, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
                     DNekMatSharedPtr mat = GenMatrix(hkey);
  
                     mat->Invert();
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                 }
                 break;
             case StdRegions::ePreconLinearSpace:
                 {
                     NekDouble one = 1.0;
                     MatrixKey helmkey(StdRegions::eHelmholtz, mkey.GetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
                     DNekScalBlkMatSharedPtr helmStatCond = GetLocStaticCondMatrix(helmkey);
                     DNekScalMatSharedPtr A =helmStatCond->GetBlock(0,0);
                     DNekMatSharedPtr R=BuildVertexMatrix(A);
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
                 }
                 break;
             case StdRegions::ePreconLinearSpaceMass:
                 {
                     NekDouble one = 1.0;
                     MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
                     DNekScalBlkMatSharedPtr massStatCond = GetLocStaticCondMatrix(masskey);
                     DNekScalMatSharedPtr A =massStatCond->GetBlock(0,0);
                     DNekMatSharedPtr R=BuildVertexMatrix(A);
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
                 }
                 break;
             case StdRegions::ePreconR:
                 {
                     NekDouble one = 1.0;
                     MatrixKey helmkey(StdRegions::eHelmholtz, mkey.GetShapeType(), *this,mkey.GetConstFactors(), mkey.GetVarCoeffs());
                     DNekScalBlkMatSharedPtr helmStatCond = GetLocStaticCondMatrix(helmkey);
                     DNekScalMatSharedPtr A =helmStatCond->GetBlock(0,0);
  
                     DNekScalMatSharedPtr Atmp;
                     DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
                 }
                 break;
             case StdRegions::ePreconRMass:
                 {
                     NekDouble one = 1.0;
                     MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
                     DNekScalBlkMatSharedPtr StatCond = GetLocStaticCondMatrix(masskey);
                     DNekScalMatSharedPtr A =StatCond->GetBlock(0,0);
  
                     DNekScalMatSharedPtr Atmp;
                     DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
                 }
                 break;
             default:
                 {
                     //ASSERTL0(false, "Missing definition for " + (*StdRegions::MatrixTypeMap[mkey.GetMatrixType()]));
                     NekDouble        one = 1.0;
                     DNekMatSharedPtr mat = GenMatrix(mkey);
  
                     returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
                 }
                 break;
             }
  
             return returnval;
         }

◆ CreateStaticCondMatrix()

DNekScalBlkMatSharedPtr Nektar::LocalRegions::TetExp::CreateStaticCondMatrix ( const MatrixKey & mkey )

protected

Definition at line 1388 of file TetExp.cpp.

         {
             DNekScalBlkMatSharedPtr returnval;
  
             ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
  
             // set up block matrix system
             unsigned int nbdry = NumBndryCoeffs();
             unsigned int nint = (unsigned int)(m_ncoeffs - nbdry);
             unsigned int exp_size[] = {nbdry, nint};
             unsigned int nblks = 2;
             returnval = MemoryManager<DNekScalBlkMat>::AllocateSharedPtr(nblks, nblks, exp_size, exp_size);
  
             NekDouble factor = 1.0;
             MatrixStorage AMatStorage = eFULL;
  
             switch(mkey.GetMatrixType())
             {
             case StdRegions::eLaplacian:
             case StdRegions::eHelmholtz: // special case since Helmholtz not defined in StdRegions
                 // use Deformed case for both regular and deformed geometries
                 factor = 1.0;
                 goto UseLocRegionsMatrix;
                 break;
             default:
                 if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
                         mkey.GetNVarCoeff())
                 {
                     factor = 1.0;
                     goto UseLocRegionsMatrix;
                 }
                 else
                 {
                     DNekScalMatSharedPtr mat = GetLocMatrix(mkey);
                     factor = mat->Scale();
                     goto UseStdRegionsMatrix;
                 }
                 break;
             UseStdRegionsMatrix:
                 {
                     NekDouble            invfactor = 1.0/factor;
                     NekDouble            one = 1.0;
                     DNekBlkMatSharedPtr  mat = GetStdStaticCondMatrix(mkey);
                     DNekScalMatSharedPtr Atmp;
                     DNekMatSharedPtr     Asubmat;
  
                     //TODO: check below
                     returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(0,0)));
                     returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,Asubmat = mat->GetBlock(0,1)));
                     returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(1,0)));
                     returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,Asubmat = mat->GetBlock(1,1)));
                 }
                 break;
             UseLocRegionsMatrix:
                 {
                     int i,j;
                     NekDouble            invfactor = 1.0/factor;
                     NekDouble            one = 1.0;
                     DNekScalMat &mat = *GetLocMatrix(mkey);
                     DNekMatSharedPtr A = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nbdry,AMatStorage);
                     DNekMatSharedPtr B = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nint);
                     DNekMatSharedPtr C = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nbdry);
                     DNekMatSharedPtr D = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nint);
  
                     Array<OneD,unsigned int> bmap(nbdry);
                     Array<OneD,unsigned int> imap(nint);
                     GetBoundaryMap(bmap);
                     GetInteriorMap(imap);
  
                     for(i = 0; i < nbdry; ++i)
                     {
                         for(j = 0; j < nbdry; ++j)
                         {
                             (*A)(i,j) = mat(bmap[i],bmap[j]);
                         }
  
                         for(j = 0; j < nint; ++j)
                         {
                             (*B)(i,j) = mat(bmap[i],imap[j]);
                         }
                     }
  
                     for(i = 0; i < nint; ++i)
                     {
                         for(j = 0; j < nbdry; ++j)
                         {
                             (*C)(i,j) = mat(imap[i],bmap[j]);
                         }
  
                         for(j = 0; j < nint; ++j)
                         {
                             (*D)(i,j) = mat(imap[i],imap[j]);
                         }
                     }
  
                     // Calculate static condensed system
                     if(nint)
                     {
                         D->Invert();
                         (*B) = (*B)*(*D);
                         (*A) = (*A) - (*B)*(*C);
                     }
  
                     DNekScalMatSharedPtr     Atmp;
  
                     returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,A));
                     returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,B));
                     returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,C));
                     returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,D));
  
                 }
                 break;
             }
             return returnval;
         }

◆ GeneralMatrixOp_MatOp()

void Nektar::LocalRegions::TetExp::GeneralMatrixOp_MatOp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const StdRegions::StdMatrixKey &	mkey
	)

private

Definition at line 1532 of file TetExp.cpp.

         {
             DNekScalMatSharedPtr   mat = GetLocMatrix(mkey);
  
             if(inarray.get() == outarray.get())
             {
                 Array<OneD,NekDouble> tmp(m_ncoeffs);
                 Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
  
                 Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
                             m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
             }
             else
             {
                 Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
                             m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
             }
         }

References Blas::Dgemv(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

◆ SetUpInverseTransformationMatrix()

void Nektar::LocalRegions::TetExp::SetUpInverseTransformationMatrix	(	const DNekMatSharedPtr &	m_transformationmatrix,
		DNekMatSharedPtr	m_inversetransformationmatrix,
		DNekMatSharedPtr	m_inversetransposedtransformationmatrix
	)

protected

◆ v_AlignVectorToCollapsedDir()

void Nektar::LocalRegions::TetExp::v_AlignVectorToCollapsedDir	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, Array< OneD, NekDouble > > &	outarray
	)

protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 419 of file TetExp.cpp.

         {
             int i, j;
  
             const int nquad0 = m_base[0]->GetNumPoints();
             const int nquad1 = m_base[1]->GetNumPoints();
             const int nquad2 = m_base[2]->GetNumPoints();
             const int nqtot  = nquad0*nquad1*nquad2;
  
             const Array<OneD, const NekDouble> &z0 = m_base[0]->GetZ();
             const Array<OneD, const NekDouble> &z1 = m_base[1]->GetZ();
             const Array<OneD, const NekDouble> &z2 = m_base[2]->GetZ();
  
             Array<OneD, NekDouble> tmp2   (nqtot);
             Array<OneD, NekDouble> tmp3   (nqtot);
  
             const Array<TwoD, const NekDouble>& df =
                 m_metricinfo->GetDerivFactors(GetPointsKeys());
  
             if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nqtot,&df[3*dir][0],  1,inarray.get(),1,
                             tmp2.get(),1);
                 Vmath::Vmul(nqtot,&df[3*dir+1][0],1,inarray.get(),1,
                             tmp3.get(),1);
                 Vmath::Vmul(nqtot,&df[3*dir+2][0],1,inarray.get(),1,
                             outarray[2].get(),1);
             }
             else
             {
                 Vmath::Smul(nqtot, df[3*dir  ][0],inarray.get(),1,
                             tmp2.get(), 1);
                 Vmath::Smul(nqtot, df[3*dir+1][0],inarray.get(),1,
                             tmp3.get(), 1);
                 Vmath::Smul(nqtot, df[3*dir+2][0],inarray.get(),1,
                             outarray[2].get(), 1);
             }
  
             NekDouble g0,g1,g1a,g2,g3;
             int k,cnt;
             
             for(cnt = 0, k = 0; k < nquad2; ++k)
             {
                 for(j = 0; j < nquad1; ++j)
                 {
                     g2 = 2.0/(1.0-z2[k]);
                     g1 =  g2/(1.0-z1[j]); 
                     g0 = 2.0*g1; 
                     g3 = (1.0+z1[j])*g2*0.5;
  
                     for(i = 0; i < nquad0; ++i,++cnt)
                     {
                         g1a = g1*(1+z0[i]);
  
                         outarray[0][cnt] = g0*tmp2[cnt] + g1a*(tmp3[cnt] +
                                                        outarray[2][cnt]); 
  
                         outarray[1][cnt] = g2*tmp3[cnt] + g3*outarray[2][cnt];
  
                     }
                 }
             }
         }

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), and Vmath::Vmul().

Referenced by v_IProductWRTDerivBase().

◆ v_ComputeConditionNumberOfMatrix()

void Nektar::LocalRegions::TetExp::v_ComputeConditionNumberOfMatrix ( const DNekScalMatSharedPtr & mat )

protected

◆ v_ComputeLaplacianMetric()

void Nektar::LocalRegions::TetExp::v_ComputeLaplacianMetric ( )

protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1625 of file TetExp.cpp.

         {
             if (m_metrics.count(eMetricQuadrature) == 0)
             {
                 ComputeQuadratureMetric();
             }
  
             int i, j;
             const unsigned int nqtot = GetTotPoints();
             const unsigned int dim = 3;
             const MetricType m[3][3] = { {eMetricLaplacian00, eMetricLaplacian01, eMetricLaplacian02},
                                        {eMetricLaplacian01, eMetricLaplacian11, eMetricLaplacian12},
                                        {eMetricLaplacian02, eMetricLaplacian12, eMetricLaplacian22}
             };
  
             for (unsigned int i = 0; i < dim; ++i)
             {
                 for (unsigned int j = i; j < dim; ++j)
                 {
                     m_metrics[m[i][j]] = Array<OneD, NekDouble>(nqtot);
                 }
             }
  
             // Define shorthand synonyms for m_metrics storage
             Array<OneD,NekDouble> g0   (m_metrics[m[0][0]]);
             Array<OneD,NekDouble> g1   (m_metrics[m[1][1]]);
             Array<OneD,NekDouble> g2   (m_metrics[m[2][2]]);
             Array<OneD,NekDouble> g3   (m_metrics[m[0][1]]);
             Array<OneD,NekDouble> g4   (m_metrics[m[0][2]]);
             Array<OneD,NekDouble> g5   (m_metrics[m[1][2]]);
  
             // Allocate temporary storage
             Array<OneD,NekDouble> alloc(7*nqtot,0.0);
             Array<OneD,NekDouble> h0   (alloc);         // h0
             Array<OneD,NekDouble> h1   (alloc+ 1*nqtot);// h1
             Array<OneD,NekDouble> h2   (alloc+ 2*nqtot);// h2
             Array<OneD,NekDouble> h3   (alloc+ 3*nqtot);// h3
             Array<OneD,NekDouble> wsp4 (alloc+ 4*nqtot);// wsp4
             Array<OneD,NekDouble> wsp5 (alloc+ 5*nqtot);// wsp5
             Array<OneD,NekDouble> wsp6 (alloc+ 6*nqtot);// wsp6
             // Reuse some of the storage as workspace
             Array<OneD,NekDouble> wsp7 (alloc);         // wsp7
             Array<OneD,NekDouble> wsp8 (alloc+ 1*nqtot);// wsp8
             Array<OneD,NekDouble> wsp9 (alloc+ 2*nqtot);// wsp9
  
             const Array<TwoD, const NekDouble>& df =
                                 m_metricinfo->GetDerivFactors(GetPointsKeys());
             const Array<OneD, const NekDouble>& z0 = m_base[0]->GetZ();
             const Array<OneD, const NekDouble>& z1 = m_base[1]->GetZ();
             const Array<OneD, const NekDouble>& z2 = m_base[2]->GetZ();
             const unsigned int nquad0 = m_base[0]->GetNumPoints();
             const unsigned int nquad1 = m_base[1]->GetNumPoints();
             const unsigned int nquad2 = m_base[2]->GetNumPoints();
  
             for(j = 0; j < nquad2; ++j)
             {
                 for(i = 0; i < nquad1; ++i)
                 {
                     Vmath::Fill(nquad0, 4.0/(1.0-z1[i])/(1.0-z2[j]), &h0[0]+i*nquad0 + j*nquad0*nquad1,1);
                     Vmath::Fill(nquad0, 2.0/(1.0-z1[i])/(1.0-z2[j]), &h1[0]+i*nquad0 + j*nquad0*nquad1,1);
                     Vmath::Fill(nquad0, 2.0/(1.0-z2[j]),             &h2[0]+i*nquad0 + j*nquad0*nquad1,1);
                     Vmath::Fill(nquad0, (1.0+z1[i])/(1.0-z2[j]),     &h3[0]+i*nquad0 + j*nquad0*nquad1,1);
                 }
             }
             for(i = 0; i < nquad0; i++)
             {
                 Blas::Dscal(nquad1*nquad2, 1+z0[i], &h1[0]+i, nquad0);
             }
  
             // Step 3. Construct combined metric terms for physical space to
             // collapsed coordinate system.
             // Order of construction optimised to minimise temporary storage
             if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 // wsp4
                 Vmath::Vadd(nqtot, &df[1][0], 1, &df[2][0], 1, &wsp4[0], 1);
                 Vmath::Vvtvvtp(nqtot, &df[0][0], 1, &h0[0], 1, &wsp4[0], 1, &h1[0], 1, &wsp4[0], 1);
                 // wsp5
                 Vmath::Vadd(nqtot, &df[4][0], 1, &df[5][0], 1, &wsp5[0], 1);
                 Vmath::Vvtvvtp(nqtot, &df[3][0], 1, &h0[0], 1, &wsp5[0], 1, &h1[0], 1, &wsp5[0], 1);
                 // wsp6
                 Vmath::Vadd(nqtot, &df[7][0], 1, &df[8][0], 1, &wsp6[0], 1);
                 Vmath::Vvtvvtp(nqtot, &df[6][0], 1, &h0[0], 1, &wsp6[0], 1, &h1[0], 1, &wsp6[0], 1);
  
                 // g0
                 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g0[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0],   1, &g0[0],   1);
  
                 // g4
                 Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp4[0], 1, &df[5][0], 1, &wsp5[0], 1, &g4[0], 1);
                 Vmath::Vvtvp  (nqtot, &df[8][0], 1, &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
  
                 // overwrite h0, h1, h2
                 // wsp7 (h2f1 + h3f2)
                 Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &h2[0], 1, &df[2][0], 1, &h3[0], 1, &wsp7[0], 1);
                 // wsp8 (h2f4 + h3f5)
                 Vmath::Vvtvvtp(nqtot, &df[4][0], 1, &h2[0], 1, &df[5][0], 1, &h3[0], 1, &wsp8[0], 1);
                 // wsp9 (h2f7 + h3f8)
                 Vmath::Vvtvvtp(nqtot, &df[7][0], 1, &h2[0], 1, &df[8][0], 1, &h3[0], 1, &wsp9[0], 1);
  
                 // g3
                 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp7[0], 1, &wsp5[0], 1, &wsp8[0], 1, &g3[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp6[0], 1, &wsp9[0], 1, &g3[0],   1, &g3[0],   1);
  
                 // overwrite wsp4, wsp5, wsp6
                 // g1
                 Vmath::Vvtvvtp(nqtot, &wsp7[0], 1, &wsp7[0], 1, &wsp8[0], 1, &wsp8[0], 1, &g1[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp9[0], 1, &wsp9[0], 1, &g1[0],   1, &g1[0],   1);
  
                 // g5
                 Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp7[0], 1, &df[5][0], 1, &wsp8[0], 1, &g5[0], 1);
                 Vmath::Vvtvp  (nqtot, &df[8][0], 1, &wsp9[0], 1, &g5[0], 1, &g5[0], 1);
  
                 // g2
                 Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &df[2][0], 1, &df[5][0], 1, &df[5][0], 1, &g2[0], 1);
                 Vmath::Vvtvp  (nqtot, &df[8][0], 1, &df[8][0], 1, &g2[0],      1, &g2[0],      1);
             }
             else
             {
                 // wsp4
                 Vmath::Svtsvtp(nqtot, df[0][0], &h0[0], 1, df[1][0] + df[2][0], &h1[0], 1, &wsp4[0], 1);
                 // wsp5
                 Vmath::Svtsvtp(nqtot, df[3][0], &h0[0], 1, df[4][0] + df[5][0], &h1[0], 1, &wsp5[0], 1);
                 // wsp6
                 Vmath::Svtsvtp(nqtot, df[6][0], &h0[0], 1, df[7][0] + df[8][0], &h1[0], 1, &wsp6[0], 1);
  
                 // g0
                 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g0[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0],   1, &g0[0],   1);
  
                 // g4
                 Vmath::Svtsvtp(nqtot, df[2][0], &wsp4[0], 1, df[5][0], &wsp5[0], 1, &g4[0], 1);
                 Vmath::Svtvp  (nqtot, df[8][0], &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
  
                 // overwrite h0, h1, h2
                 // wsp7 (h2f1 + h3f2)
                 Vmath::Svtsvtp(nqtot, df[1][0], &h2[0], 1, df[2][0], &h3[0], 1, &wsp7[0], 1);
                 // wsp8 (h2f4 + h3f5)
                 Vmath::Svtsvtp(nqtot, df[4][0], &h2[0], 1, df[5][0], &h3[0], 1, &wsp8[0], 1);
                 // wsp9 (h2f7 + h3f8)
                 Vmath::Svtsvtp(nqtot, df[7][0], &h2[0], 1, df[8][0], &h3[0], 1, &wsp9[0], 1);
  
                 // g3
                 Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp7[0], 1, &wsp5[0], 1, &wsp8[0], 1, &g3[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp6[0], 1, &wsp9[0], 1, &g3[0],   1, &g3[0],   1);
  
                 // overwrite wsp4, wsp5, wsp6
                 // g1
                 Vmath::Vvtvvtp(nqtot, &wsp7[0], 1, &wsp7[0], 1, &wsp8[0], 1, &wsp8[0], 1, &g1[0], 1);
                 Vmath::Vvtvp  (nqtot, &wsp9[0], 1, &wsp9[0], 1, &g1[0],   1, &g1[0],   1);
  
                 // g5
                 Vmath::Svtsvtp(nqtot, df[2][0], &wsp7[0], 1, df[5][0], &wsp8[0], 1, &g5[0], 1);
                 Vmath::Svtvp  (nqtot, df[8][0], &wsp9[0], 1, &g5[0], 1, &g5[0], 1);
  
                 // g2
                 Vmath::Fill(nqtot, df[2][0]*df[2][0] + df[5][0]*df[5][0] + df[8][0]*df[8][0], &g2[0], 1);
             }
  
             for (unsigned int i = 0; i < dim; ++i)
             {
                 for (unsigned int j = i; j < dim; ++j)
                 {
                     MultiplyByQuadratureMetric(m_metrics[m[i][j]],
                                                m_metrics[m[i][j]]);
  
                 }
             }
  
  
         }

◆ v_ComputeTraceNormal()

void Nektar::LocalRegions::TetExp::v_ComputeTraceNormal ( const int face )

protectedvirtual

Compute the normal of a triangular face.

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 751 of file TetExp.cpp.

         {
             int i;
             const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
                 GetGeom()->GetMetricInfo();
  
             LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
             for(int i = 0; i < ptsKeys.size(); ++i)
             {
                 // Need at least 2 points for computing normals
                 if (ptsKeys[i].GetNumPoints() == 1)
                 {
                     LibUtilities::PointsKey pKey(2, ptsKeys[i].GetPointsType());
                     ptsKeys[i] = pKey;
                 }
             }
  
             SpatialDomains::GeomType            type = geomFactors->GetGtype();
             const Array<TwoD, const NekDouble> &df   = geomFactors->GetDerivFactors(ptsKeys);
             const Array<OneD, const NekDouble> &jac  = geomFactors->GetJac(ptsKeys);
  
             LibUtilities::BasisKey tobasis0 = GetTraceBasisKey(face,0);
             LibUtilities::BasisKey tobasis1 = GetTraceBasisKey(face,1);
  
             // number of face quadrature points
             int nq_face = tobasis0.GetNumPoints()*tobasis1.GetNumPoints();
  
             int vCoordDim = GetCoordim();
  
             m_faceNormals[face] = Array<OneD, Array<OneD, NekDouble> >(vCoordDim);
             Array<OneD, Array<OneD, NekDouble> > &normal = m_faceNormals[face];
             for (i = 0; i < vCoordDim; ++i)
             {
                 normal[i] = Array<OneD, NekDouble>(nq_face);
             }
  
             size_t nqb = nq_face;
             size_t nbnd= face;
             m_elmtBndNormDirElmtLen[nbnd] = Array<OneD, NekDouble> {nqb, 0.0};
             Array<OneD, NekDouble> &length = m_elmtBndNormDirElmtLen[nbnd];
  
             // Regular geometry case
             if (type == SpatialDomains::eRegular ||
                 type == SpatialDomains::eMovingRegular)
             {
                 NekDouble fac;
  
                 // Set up normals
                 switch (face)
                 {
                     case 0:
                     {
                         for (i = 0; i < vCoordDim; ++i)
                         {
                             normal[i][0] = -df[3*i+2][0];
                         }
  
                         break;
                     }
                     case 1:
                     {
                         for (i = 0; i < vCoordDim; ++i)
                         {
                             normal[i][0] = -df[3*i+1][0];
                         }
  
                         break;
                     }
                     case 2:
                     {
                         for (i = 0; i < vCoordDim; ++i)
                         {
                             normal[i][0] = df[3*i][0]+df[3*i+1][0]+
                                 df[3*i+2][0];
                         }
  
                         break;
                     }
                     case 3:
                     {
                         for(i = 0; i < vCoordDim; ++i)
                         {
                             normal[i][0] = -df[3*i][0];
                         }
                         break;
                     }
                     default:
                         ASSERTL0(false,"face is out of range (edge < 3)");
                 }
  
                 // normalise
                 fac = 0.0;
                 for (i = 0; i < vCoordDim; ++i)
                 {
                     fac += normal[i][0]*normal[i][0];
                 }
                 fac = 1.0/sqrt(fac);
                 Vmath::Fill(nqb, fac, length, 1);
  
                 for (i = 0; i < vCoordDim; ++i)
                 {
                     Vmath::Fill(nq_face,fac*normal[i][0],normal[i],1);
                 }
         }
             else
             {
                 // Set up deformed normals
                 int j, k;
  
                 int nq0 = ptsKeys[0].GetNumPoints();
                 int nq1 = ptsKeys[1].GetNumPoints();
                 int nq2 = ptsKeys[2].GetNumPoints();
                 int nqtot;
                 int nq01 =nq0*nq1;
  
                 // number of elemental quad points
                 if (face == 0)
                 {
                     nqtot = nq01;
                 }
                 else if (face == 1)
                 {
                     nqtot = nq0*nq2;
                 }
                 else
                 {
                     nqtot = nq1*nq2;
                 }
  
                 LibUtilities::PointsKey points0;
                 LibUtilities::PointsKey points1;
  
                 Array<OneD, NekDouble> faceJac(nqtot);
                 Array<OneD,NekDouble>  normals(vCoordDim*nqtot, 0.0);
  
                 // Extract Jacobian along face and recover local derivates
                 // (dx/dr) for polynomial interpolation by multiplying m_gmat by
                 // jacobian
                 switch (face)
             {
                     case 0:
                     {
                         for(j = 0; j < nq01; ++j)
                         {
                             normals[j]         = -df[2][j]*jac[j];
                             normals[nqtot+j]   = -df[5][j]*jac[j];
                             normals[2*nqtot+j] = -df[8][j]*jac[j];
                             faceJac[j]         = jac[j];
                         }
  
                         points0 = ptsKeys[0];
                         points1 = ptsKeys[1];
                         break;
                     }
  
                     case 1:
                     {
                         for (j = 0; j < nq0; ++j)
                         {
                             for(k = 0; k < nq2; ++k)
                             {
                                 int tmp = j+nq01*k;
                                 normals[j+k*nq0]          =
                                     -df[1][tmp]*jac[tmp];
                                 normals[nqtot+j+k*nq0]    =
                                     -df[4][tmp]*jac[tmp];
                                 normals[2*nqtot+j+k*nq0]  =
                                     -df[7][tmp]*jac[tmp];
                                 faceJac[j+k*nq0] = jac[tmp];
                             }
                         }
  
                         points0 = ptsKeys[0];
                         points1 = ptsKeys[2];
                         break;
                     }
  
                     case 2:
                     {
                         for (j = 0; j < nq1; ++j)
                         {
                             for(k = 0; k < nq2; ++k)
                             {
                                 int tmp = nq0-1+nq0*j+nq01*k;
                                 normals[j+k*nq1]         =
                                     (df[0][tmp]+df[1][tmp]+df[2][tmp])*
                                         jac[tmp];
                                 normals[nqtot+j+k*nq1]   =
                                     (df[3][tmp]+df[4][tmp]+df[5][tmp])*
                                         jac[tmp];
                                 normals[2*nqtot+j+k*nq1] =
                                     (df[6][tmp]+df[7][tmp]+df[8][tmp])*
                                         jac[tmp];
                                 faceJac[j+k*nq1] = jac[tmp];
                             }
                         }
  
                         points0 = ptsKeys[1];
                         points1 = ptsKeys[2];
                         break;
                     }
  
                     case 3:
                     {
                         for (j = 0; j < nq1; ++j)
                         {
                             for(k = 0; k < nq2; ++k)
                             {
                                 int tmp = j*nq0+nq01*k;
                                 normals[j+k*nq1]         =
                                     -df[0][tmp]*jac[tmp];
                                 normals[nqtot+j+k*nq1]   =
                                     -df[3][tmp]*jac[tmp];
                                 normals[2*nqtot+j+k*nq1] =
                                     -df[6][tmp]*jac[tmp];
                                 faceJac[j+k*nq1] = jac[tmp];
                             }
                         }
  
                         points0 = ptsKeys[1];
                         points1 = ptsKeys[2];
                         break;
                     }
  
                     default:
                         ASSERTL0(false,"face is out of range (face < 3)");
                 }
  
                 Array<OneD,NekDouble> work   (nq_face,   0.0);
                 // Interpolate Jacobian and invert
                 LibUtilities::Interp2D(points0, points1, faceJac,
                                        tobasis0.GetPointsKey(),
                                        tobasis1.GetPointsKey(),
                                        work);
                 Vmath::Sdiv(nq_face, 1.0, &work[0], 1, &work[0], 1);
  
                 // Interpolate normal and multiply by inverse Jacobian.
                 for(i = 0; i < vCoordDim; ++i)
                 {
                     LibUtilities::Interp2D(points0, points1,
                                            &normals[i*nqtot],
                                            tobasis0.GetPointsKey(),
                                            tobasis1.GetPointsKey(),
                                            &normal[i][0]);
                     Vmath::Vmul(nq_face,work,1,normal[i],1,normal[i],1);
                 }
  
                 // Normalise to obtain unit normals.
                 Vmath::Zero(nq_face,work,1);
                 for(i = 0; i < GetCoordim(); ++i)
                 {
                     Vmath::Vvtvp(nq_face,normal[i],1,normal[i],1,work,1,work,1);
                 }
  
                 Vmath::Vsqrt(nq_face,work,1,work,1);
                 Vmath::Sdiv (nq_face,1.0,work,1,work,1);
  
                 Vmath::Vcopy(nqb, work, 1, length, 1);
  
                 for(i = 0; i < GetCoordim(); ++i)
                 {
                     Vmath::Vmul(nq_face,normal[i],1,work,1,normal[i],1);
                 }
             }
         }

References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::BasisKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::LibUtilities::BasisKey::GetPointsKey(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::GetTraceBasisKey(), Nektar::LibUtilities::Interp2D(), Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen, Nektar::LocalRegions::Expansion3D::m_faceNormals, Vmath::Sdiv(), tinysimd::sqrt(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().

◆ v_CreateStdMatrix()

DNekMatSharedPtr Nektar::LocalRegions::TetExp::v_CreateStdMatrix ( const StdRegions::StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 1506 of file TetExp.cpp.

         {
             LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
             LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
             LibUtilities::BasisKey bkey2 = m_base[2]->GetBasisKey();
             StdRegions::StdTetExpSharedPtr tmp = MemoryManager<StdTetExp>::AllocateSharedPtr(bkey0, bkey1, bkey2);
  
             return tmp->GetStdMatrix(mkey);
         }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_DetShapeType()

LibUtilities::ShapeType Nektar::LocalRegions::TetExp::v_DetShapeType ( ) const

protectedvirtual

Return Shape of region, using ShapeType enum list.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 561 of file TetExp.cpp.

         {
             return LibUtilities::eTetrahedron;
         }

References Nektar::LibUtilities::eTetrahedron.

◆ v_DropLocStaticCondMatrix()

void Nektar::LocalRegions::TetExp::v_DropLocStaticCondMatrix ( const MatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1527 of file TetExp.cpp.

         {
             m_staticCondMatrixManager.DeleteObject(mkey);
         }

References m_staticCondMatrixManager.

◆ v_ExtractDataToCoeffs()

void Nektar::LocalRegions::TetExp::v_ExtractDataToCoeffs	(	const NekDouble *	data,
		const std::vector< unsigned int > &	nummodes,
		const int	mode_offset,
		NekDouble *	coeffs,
		std::vector< LibUtilities::BasisType > &	fromType
	)

protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 594 of file TetExp.cpp.

         {
             boost::ignore_unused(fromType);
  
             int data_order0 = nummodes[mode_offset];
             int fillorder0  = min(m_base[0]->GetNumModes(),data_order0);
             int data_order1 = nummodes[mode_offset+1];
             int order1      = m_base[1]->GetNumModes();
             int fillorder1  = min(order1,data_order1);
             int data_order2 = nummodes[mode_offset+2];
             int order2      = m_base[2]->GetNumModes();
             int fillorder2  = min(order2,data_order2);
  
             switch(m_base[0]->GetBasisType())
             {
             case LibUtilities::eModified_A:
                 {
                     int i,j;
                     int cnt  = 0;
                     int cnt1 = 0;
  
                     ASSERTL1(m_base[1]->GetBasisType() ==
                              LibUtilities::eModified_B,
                              "Extraction routine not set up for this basis");
                     ASSERTL1(m_base[2]->GetBasisType() ==
                              LibUtilities::eModified_C,
                              "Extraction routine not set up for this basis");
  
                     Vmath::Zero(m_ncoeffs,coeffs,1);
                     for(j = 0; j < fillorder0; ++j)
                     {
                         for(i = 0; i < fillorder1-j; ++i)
                         {
                             Vmath::Vcopy(fillorder2-j-i, &data[cnt],    1,
                                          &coeffs[cnt1], 1);
                             cnt  += data_order2-j-i;
                             cnt1 += order2-j-i;
                         }
  
                         // count out data for j iteration
                         for(i = fillorder1-j; i < data_order1-j; ++i)
                         {
                             cnt += data_order2-j-i;
                         }
  
                         for(i = fillorder1-j; i < order1-j; ++i)
                         {
                             cnt1 += order2-j-i;
                         }
  
                     }
                 }
                 break;
             default:
                 ASSERTL0(false, "basis is either not set up or not "
                          "hierarchicial");
             }
         }

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Zero().

◆ v_FwdTrans()

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

protectedvirtual

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->_coeffs.

@param   inarray     Array of physical quadrature points to be
                     transformed.
@param   outarray    Array of coefficients to update.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 242 of file TetExp.cpp.

         {
             if((m_base[0]->Collocation())&&(m_base[1]->Collocation())&&(m_base[2]->Collocation()))
             {
                 Vmath::Vcopy(GetNcoeffs(),&inarray[0],1,&outarray[0],1);
             }
             else
             {
                 IProductWRTBase(inarray,outarray);
  
                 // get Mass matrix inverse
                 MatrixKey             masskey(StdRegions::eInvMass,
                                               DetShapeType(),*this);
                 DNekScalMatSharedPtr  matsys = m_matrixManager[masskey];
  
                 // copy inarray in case inarray == outarray
                 DNekVec in (m_ncoeffs,outarray);
                 DNekVec out(m_ncoeffs,outarray,eWrapper);
  
                 out = (*matsys)*in;
             }
         }

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::IProductWRTBase(), Nektar::StdRegions::StdExpansion::m_base, m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::LocalRegions::TetExp::v_GenMatrix ( const StdRegions::StdMatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 1081 of file TetExp.cpp.

         {
             DNekMatSharedPtr returnval;
  
             switch(mkey.GetMatrixType())
             {
             case StdRegions::eHybridDGHelmholtz:
             case StdRegions::eHybridDGLamToU:
             case StdRegions::eHybridDGLamToQ0:
             case StdRegions::eHybridDGLamToQ1:
             case StdRegions::eHybridDGLamToQ2:
             case StdRegions::eHybridDGHelmBndLam:
             case StdRegions::eInvLaplacianWithUnityMean:
                 returnval = Expansion3D::v_GenMatrix(mkey);
                 break;
             default:
                 returnval = StdTetExp::v_GenMatrix(mkey);
             }
  
             return returnval;
         }

References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ v_GetCoord()

void Nektar::LocalRegions::TetExp::v_GetCoord	(	const Array< OneD, const NekDouble > &	Lcoords,
		Array< OneD, NekDouble > &	coords
	)

protectedvirtual

Get the coordinates "coords" at the local coordinates "Lcoords".

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 526 of file TetExp.cpp.

         {
             int  i;
  
             ASSERTL1(Lcoords[0] <= -1.0 && Lcoords[0] >= 1.0 &&
                      Lcoords[1] <= -1.0 && Lcoords[1] >= 1.0 &&
                      Lcoords[2] <= -1.0 && Lcoords[2] >= 1.0,
                      "Local coordinates are not in region [-1,1]");
  
             // m_geom->FillGeom(); // TODO: implement FillGeom()
  
             for(i = 0; i < m_geom->GetCoordim(); ++i)
             {
                 coords[i] = m_geom->GetCoord(i,Lcoords);
             }
         }

References ASSERTL1, and Nektar::LocalRegions::Expansion::m_geom.

◆ v_GetCoordim()

int Nektar::LocalRegions::TetExp::v_GetCoordim ( void )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 589 of file TetExp.cpp.

         {
             return m_geom->GetCoordim();
         }

References Nektar::LocalRegions::Expansion::m_geom.

◆ v_GetCoords()

void Nektar::LocalRegions::TetExp::v_GetCoords	(	Array< OneD, NekDouble > &	coords_1,
		Array< OneD, NekDouble > &	coords_2,
		Array< OneD, NekDouble > &	coords_3
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 545 of file TetExp.cpp.

         {
             Expansion::v_GetCoords(coords_0, coords_1, coords_2);
         }

References Nektar::LocalRegions::Expansion::v_GetCoords().

◆ v_GetLinStdExp()

StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::TetExp::v_GetLinStdExp ( void ) const

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 575 of file TetExp.cpp.

         {
             LibUtilities::BasisKey bkey0(m_base[0]->GetBasisType(),
                            2, m_base[0]->GetPointsKey());
             LibUtilities::BasisKey bkey1(m_base[1]->GetBasisType(),
                            2, m_base[1]->GetPointsKey());
             LibUtilities::BasisKey bkey2(m_base[2]->GetBasisType(),
                            2, m_base[2]->GetPointsKey());
  
             return MemoryManager<StdRegions::StdTetExp>
                 ::AllocateSharedPtr( bkey0, bkey1, bkey2);
         }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetLocMatrix()

DNekScalMatSharedPtr Nektar::LocalRegions::TetExp::v_GetLocMatrix ( const MatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1517 of file TetExp.cpp.

         {
             return m_matrixManager[mkey];
         }

References m_matrixManager.

◆ v_GetLocStaticCondMatrix()

DNekScalBlkMatSharedPtr Nektar::LocalRegions::TetExp::v_GetLocStaticCondMatrix ( const MatrixKey & mkey )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1522 of file TetExp.cpp.

         {
             return m_staticCondMatrixManager[mkey];
         }

References m_staticCondMatrixManager.

◆ v_GetStdExp()

StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::TetExp::v_GetStdExp ( void ) const

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 566 of file TetExp.cpp.

         {
             return MemoryManager<StdRegions::StdTetExp>
                 ::AllocateSharedPtr(m_base[0]->GetBasisKey(),
                                     m_base[1]->GetBasisKey(),
                                     m_base[2]->GetBasisKey());
         }

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetTracePhysMap()

void Nektar::LocalRegions::TetExp::v_GetTracePhysMap	(	const int	face,
		Array< OneD, int > &	outarray
	)

protectedvirtual

Returns the physical values at the quadrature points of a face.

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 661 of file TetExp.cpp.

         {
             int nquad0 = m_base[0]->GetNumPoints();
             int nquad1 = m_base[1]->GetNumPoints();
             int nquad2 = m_base[2]->GetNumPoints();
  
             int nq0 = 0;
             int nq1 = 0;
  
             // get forward aligned faces.
             switch(face)
             {
                 case 0:
                 {
                     nq0 = nquad0;
                     nq1 = nquad1;
                     if(outarray.size()!=nq0*nq1)
                     {
                         outarray = Array<OneD, int>(nq0*nq1);
                     }
  
                     for (int i = 0; i < nquad0*nquad1; ++i)
                     {
                         outarray[i] = i;
                     }
  
                     break;
                 }
                 case 1:
                 {
                     nq0 = nquad0;
                     nq1 = nquad2;
                     if(outarray.size()!=nq0*nq1)
                     {
                         outarray = Array<OneD, int>(nq0*nq1);
                     }
  
                     //Direction A and B positive
                     for (int k=0; k<nquad2; k++)
                     {
                         for(int i = 0; i < nquad0; ++i)
                         {
                             outarray[k*nquad0+i] = (nquad0*nquad1*k)+i;
                         }
                     }
                     break;
                 }
                 case 2:
                 {
                     nq0 = nquad1;
                     nq1 = nquad2;
                     if(outarray.size()!=nq0*nq1)
                     {
                         outarray = Array<OneD, int>(nq0*nq1);
                     }
  
                     //Directions A and B positive
                     for(int j = 0; j < nquad1*nquad2; ++j)
                     {
                         outarray[j] = nquad0-1 + j*nquad0;
                     }
                     break;
                 }
                 case 3:
                 {
                     nq0 = nquad1;
                     nq1 = nquad2;
                     if(outarray.size() != nq0*nq1)
                     {
                         outarray = Array<OneD, int>(nq0*nq1);
                     }
  
                     //Directions A and B positive
                     for(int j = 0; j < nquad1*nquad2; ++j)
                     {
                         outarray[j] = j*nquad0;
                     }
                 }
                 break;
             default:
                 ASSERTL0(false,"face value (> 3) is out of range");
                 break;
             }
         }

References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_HelmholtzMatrixOp()

void Nektar::LocalRegions::TetExp::v_HelmholtzMatrixOp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const StdRegions::StdMatrixKey &	mkey
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1020 of file TetExp.cpp.

         {
             TetExp::v_HelmholtzMatrixOp_MatFree(inarray,outarray,mkey);
         }

References Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree().

◆ v_Integral()

NekDouble Nektar::LocalRegions::TetExp::v_Integral ( const Array< OneD, const NekDouble > & inarray )

protectedvirtual

Integrate the physical point list inarray over region.

Parameters

inarray Definition of function to be returned at quadrature point of expansion.

Returns: \(\int^1_{-1}\int^1_{-1} \int^1_{-1} u(\eta_1, \eta_2, \eta_3) J[i,j,k] d \eta_1 d \eta_2 d \eta_3 \) where \(inarray[i,j,k] = u(\eta_{1i},\eta_{2j},\eta_{3k}) \) and \( J[i,j,k] \) is the Jacobian evaluated at the quadrature point.

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 123 of file TetExp.cpp.

         {
             int    nquad0 = m_base[0]->GetNumPoints();
             int    nquad1 = m_base[1]->GetNumPoints();
             int    nquad2 = m_base[2]->GetNumPoints();
             Array<OneD, const NekDouble> jac = m_metricinfo->GetJac(GetPointsKeys());
             NekDouble retrunVal;
             Array<OneD,NekDouble> tmp(nquad0*nquad1*nquad2);
  
             // multiply inarray with Jacobian
             if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad0*nquad1*nquad2,&jac[0],1,
                             (NekDouble*)&inarray[0],1, &tmp[0],1);
             }
             else
             {
                 Vmath::Smul(nquad0*nquad1*nquad2,(NekDouble) jac[0],
                             (NekDouble*)&inarray[0],1,&tmp[0],1);
             }
  
             // call StdTetExp version;
             retrunVal = StdTetExp::v_Integral(tmp);
  
             return retrunVal;
         }

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), and Vmath::Vmul().

◆ v_IProductWRTBase()

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

protectedvirtual

Calculate the inner product of inarray with respect to the basis B=m_base0*m_base1*m_base2 and put into outarray:

\f$ \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} \f$ \n
where
\f$ \phi_{pqr} (\xi_1 , \xi_2 , \xi_3)
  = \psi_p^a (\eta_1) \psi_{pq}^b (\eta_2) \psi_{pqr}^c (\eta_3) \f$
which can be implemented as \n
\f$f_{pqr} (\xi_{3k})
  = \sum_{k=0}^{nq_3} \psi_{pqr}^c u(\eta_{1i},\eta_{2j},\eta_{3k})
J_{i,j,k} = {\bf B_3 U}   \f$ \n
\f$ g_{pq} (\xi_{3k})
  = \sum_{j=0}^{nq_1} \psi_{pq}^b (\xi_{2j}) f_{pqr} (\xi_{3k})
  = {\bf B_2 F}  \f$ \n
\f$ (\phi_{pqr}, u)_{\delta}
  = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{pq} (\xi_{3k})
  = {\bf B_1 G} \f$

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 296 of file TetExp.cpp.

         {
             v_IProductWRTBase_SumFac(inarray, outarray);
         }

References v_IProductWRTBase_SumFac().

◆ v_IProductWRTBase_SumFac()

void Nektar::LocalRegions::TetExp::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 303 of file TetExp.cpp.

         {
             const int nquad0 = m_base[0]->GetNumPoints();
             const int nquad1 = m_base[1]->GetNumPoints();
             const int nquad2 = m_base[2]->GetNumPoints();
             const int order0 = m_base[0]->GetNumModes();
             const int order1 = m_base[1]->GetNumModes();
             Array<OneD, NekDouble> wsp(nquad1*nquad2*order0 +
                                        nquad2*order0*(order1+1)/2);
  
             if(multiplybyweights)
             {
                 Array<OneD, NekDouble> tmp(nquad0*nquad1*nquad2);
  
                 MultiplyByQuadratureMetric(inarray, tmp);
                 IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
                                              m_base[1]->GetBdata(),
                                              m_base[2]->GetBdata(),
                                              tmp,outarray,wsp,
                                              true,true,true);
             }
             else
             {
                 IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
                                              m_base[1]->GetBdata(),
                                              m_base[2]->GetBdata(),
                                              inarray,outarray,wsp,
                                              true,true,true);
             }
         }

References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().

Referenced by v_IProductWRTBase().

◆ v_IProductWRTDerivBase()

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

protectedvirtual

Calculates the inner product \( I_{pqr} = (u, \partial_{x_i} \phi_{pqr}) \).

The derivative of the basis functions is performed using the chain rule in order to incorporate the geometric factors. Assuming that the basis functions are a tensor product \(\phi_{pqr}(\eta_1,\eta_2,\eta_3) = \phi_1(\eta_1)\phi_2(\eta_2)\phi_3(\eta_3)\), this yields the result

\[ I_{pqr} = \sum_{j=1}^3 \left(u, \frac{\partial u}{\partial \eta_j} \frac{\partial \eta_j}{\partial x_i}\right) \]

In the prismatic element, we must also incorporate a second set of geometric factors which incorporate the collapsed co-ordinate system, so that

\[ \frac{\partial\eta_j}{\partial x_i} = \sum_{k=1}^3 \frac{\partial\eta_j}{\partial\xi_k}\frac{\partial\xi_k}{\partial x_i} \]

These derivatives can be found on p152 of Sherwin & Karniadakis.

Parameters

dir	Direction in which to take the derivative.
inarray	The function \( u \).
outarray	Value of the inner product.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 367 of file TetExp.cpp.

         {
             const int nquad0 = m_base[0]->GetNumPoints();
             const int nquad1 = m_base[1]->GetNumPoints();
             const int nquad2 = m_base[2]->GetNumPoints();
             const int order0 = m_base[0]->GetNumModes ();
             const int order1 = m_base[1]->GetNumModes ();
             const int nqtot  = nquad0*nquad1*nquad2;
  
             Array<OneD, NekDouble> tmp1 (nqtot);
             Array<OneD, NekDouble> tmp2 (nqtot);
             Array<OneD, NekDouble> tmp3 (nqtot);
             Array<OneD, NekDouble> tmp4 (nqtot);
             Array<OneD, NekDouble> tmp6 (m_ncoeffs);
             Array<OneD, NekDouble> wsp  (nquad1*nquad2*order0 +
                                          nquad2*order0*(order1+1)/2);
  
             MultiplyByQuadratureMetric(inarray,tmp1);
  
             Array<OneD, Array<OneD, NekDouble>> tmp2D{3};
             tmp2D[0] = tmp2;
             tmp2D[1] = tmp3;
             tmp2D[2] = tmp4;
             
             TetExp::v_AlignVectorToCollapsedDir(dir, tmp1, tmp2D);
  
             IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
                                          m_base[1]->GetBdata (),
                                          m_base[2]->GetBdata (),
                                          tmp2,outarray,wsp,
                                          false,true,true);
  
             IProductWRTBase_SumFacKernel(m_base[0]->GetBdata (),
                                          m_base[1]->GetDbdata(),
                                          m_base[2]->GetBdata (),
                                          tmp3,tmp6,wsp,
                                          true,false,true);
  
             Vmath::Vadd(m_ncoeffs, tmp6, 1, outarray, 1, outarray, 1);
  
             IProductWRTBase_SumFacKernel(m_base[0]->GetBdata (),
                                          m_base[1]->GetBdata (),
                                          m_base[2]->GetDbdata(),
                                          tmp4,tmp6,wsp,
                                          true,true,false);
  
             Vmath::Vadd(m_ncoeffs, tmp6, 1, outarray, 1, outarray, 1);
         }

References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), v_AlignVectorToCollapsedDir(), and Vmath::Vadd().

◆ v_LaplacianMatrixOp() [1/2]

void Nektar::LocalRegions::TetExp::v_LaplacianMatrixOp	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const StdRegions::StdMatrixKey &	mkey
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1029 of file TetExp.cpp.

         {
             TetExp::v_LaplacianMatrixOp_MatFree(inarray,outarray,mkey);
         }

References Nektar::StdRegions::StdExpansion3D::v_LaplacianMatrixOp_MatFree().

◆ v_LaplacianMatrixOp() [2/2]

void Nektar::LocalRegions::TetExp::v_LaplacianMatrixOp	(	const int	k1,
		const int	k2,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		const StdRegions::StdMatrixKey &	mkey
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1037 of file TetExp.cpp.

         {
             StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,
                                                         mkey);
         }

◆ v_LaplacianMatrixOp_MatFree_Kernel()

void Nektar::LocalRegions::TetExp::v_LaplacianMatrixOp_MatFree_Kernel	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		Array< OneD, NekDouble > &	wsp
	)

privatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1555 of file TetExp.cpp.

         {
             // This implementation is only valid when there are no
             // coefficients associated to the Laplacian operator
             if (m_metrics.count(eMetricLaplacian00) == 0)
             {
                 ComputeLaplacianMetric();
             }
  
             int nquad0  = m_base[0]->GetNumPoints();
             int nquad1  = m_base[1]->GetNumPoints();
             int nquad2  = m_base[2]->GetNumPoints();
             int nqtot   = nquad0*nquad1*nquad2;
  
             ASSERTL1(wsp.size() >= 6*nqtot,
                      "Insufficient workspace size.");
             ASSERTL1(m_ncoeffs <= nqtot,
                      "Workspace not set up for ncoeffs > nqtot");
  
             const Array<OneD, const NekDouble>& base0  = m_base[0]->GetBdata();
             const Array<OneD, const NekDouble>& base1  = m_base[1]->GetBdata();
             const Array<OneD, const NekDouble>& base2  = m_base[2]->GetBdata();
             const Array<OneD, const NekDouble>& dbase0 = m_base[0]->GetDbdata();
             const Array<OneD, const NekDouble>& dbase1 = m_base[1]->GetDbdata();
             const Array<OneD, const NekDouble>& dbase2 = m_base[2]->GetDbdata();
             const Array<OneD, const NekDouble>& metric00 = m_metrics[eMetricLaplacian00];
             const Array<OneD, const NekDouble>& metric01 = m_metrics[eMetricLaplacian01];
             const Array<OneD, const NekDouble>& metric02 = m_metrics[eMetricLaplacian02];
             const Array<OneD, const NekDouble>& metric11 = m_metrics[eMetricLaplacian11];
             const Array<OneD, const NekDouble>& metric12 = m_metrics[eMetricLaplacian12];
             const Array<OneD, const NekDouble>& metric22 = m_metrics[eMetricLaplacian22];
  
             // Allocate temporary storage
             Array<OneD,NekDouble> wsp0 (2*nqtot, wsp);
             Array<OneD,NekDouble> wsp1 (  nqtot, wsp+1*nqtot);
             Array<OneD,NekDouble> wsp2 (  nqtot, wsp+2*nqtot);
             Array<OneD,NekDouble> wsp3 (  nqtot, wsp+3*nqtot);
             Array<OneD,NekDouble> wsp4 (  nqtot, wsp+4*nqtot);
             Array<OneD,NekDouble> wsp5 (  nqtot, wsp+5*nqtot);
  
             // LAPLACIAN MATRIX OPERATION
             // wsp1 = du_dxi1 = D_xi1 * inarray = D_xi1 * u
             // wsp2 = du_dxi2 = D_xi2 * inarray = D_xi2 * u
             // wsp2 = du_dxi3 = D_xi3 * inarray = D_xi3 * u
             StdExpansion3D::PhysTensorDeriv(inarray,wsp0,wsp1,wsp2);
  
             // wsp0 = k = g0 * wsp1 + g1 * wsp2 = g0 * du_dxi1 + g1 * du_dxi2
             // wsp2 = l = g1 * wsp1 + g2 * wsp2 = g0 * du_dxi1 + g1 * du_dxi2
             // where g0, g1 and g2 are the metric terms set up in the GeomFactors class
             // especially for this purpose
             Vmath::Vvtvvtp(nqtot,&metric00[0],1,&wsp0[0],1,&metric01[0],1,&wsp1[0],1,&wsp3[0],1);
             Vmath::Vvtvp  (nqtot,&metric02[0],1,&wsp2[0],1,&wsp3[0],1,&wsp3[0],1);
             Vmath::Vvtvvtp(nqtot,&metric01[0],1,&wsp0[0],1,&metric11[0],1,&wsp1[0],1,&wsp4[0],1);
             Vmath::Vvtvp  (nqtot,&metric12[0],1,&wsp2[0],1,&wsp4[0],1,&wsp4[0],1);
             Vmath::Vvtvvtp(nqtot,&metric02[0],1,&wsp0[0],1,&metric12[0],1,&wsp1[0],1,&wsp5[0],1);
             Vmath::Vvtvp  (nqtot,&metric22[0],1,&wsp2[0],1,&wsp5[0],1,&wsp5[0],1);
  
             // outarray = m = (D_xi1 * B)^T * k
             // wsp1     = n = (D_xi2 * B)^T * l
             IProductWRTBase_SumFacKernel(dbase0,base1,base2,wsp3,outarray,wsp0,false,true,true);
             IProductWRTBase_SumFacKernel(base0,dbase1,base2,wsp4,wsp2,    wsp0,true,false,true);
             Vmath::Vadd(m_ncoeffs,wsp2.get(),1,outarray.get(),1,outarray.get(),1);
             IProductWRTBase_SumFacKernel(base0,base1,dbase2,wsp5,wsp2,    wsp0,true,true,false);
             Vmath::Vadd(m_ncoeffs,wsp2.get(),1,outarray.get(),1,outarray.get(),1);
         }

◆ v_PhysDeriv()

void Nektar::LocalRegions::TetExp::v_PhysDeriv	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_d0,
		Array< OneD, NekDouble > &	out_d1,
		Array< OneD, NekDouble > &	out_d2
	)

protectedvirtual

Differentiate inarray in the three coordinate directions.

@param   inarray     Input array of values at quadrature points to
                     be differentiated.
@param   out_d0      Derivative in first coordinate direction.
@param   out_d1      Derivative in second coordinate direction.
@param   out_d2      Derivative in third coordinate direction.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 164 of file TetExp.cpp.

         {
             int  TotPts = m_base[0]->GetNumPoints()*m_base[1]->GetNumPoints()*
                 m_base[2]->GetNumPoints();
  
             Array<TwoD, const NekDouble> df =
                 m_metricinfo->GetDerivFactors(GetPointsKeys());
             Array<OneD,NekDouble> Diff0 = Array<OneD,NekDouble>(3*TotPts);
             Array<OneD,NekDouble> Diff1 = Diff0 + TotPts;
             Array<OneD,NekDouble> Diff2 = Diff1 + TotPts;
  
             StdTetExp::v_PhysDeriv(inarray, Diff0, Diff1, Diff2);
  
             if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 if(out_d0.size())
                 {
                     Vmath::Vmul  (TotPts,&df[0][0],1,&Diff0[0],1, &out_d0[0], 1);
                     Vmath::Vvtvp (TotPts,&df[1][0],1,&Diff1[0],1, &out_d0[0], 1,&out_d0[0],1);
                     Vmath::Vvtvp (TotPts,&df[2][0],1,&Diff2[0],1, &out_d0[0], 1,&out_d0[0],1);
                 }
  
                 if(out_d1.size())
                 {
                     Vmath::Vmul  (TotPts,&df[3][0],1,&Diff0[0],1, &out_d1[0], 1);
                     Vmath::Vvtvp (TotPts,&df[4][0],1,&Diff1[0],1, &out_d1[0], 1,&out_d1[0],1);
                     Vmath::Vvtvp (TotPts,&df[5][0],1,&Diff2[0],1, &out_d1[0], 1,&out_d1[0],1);
                 }
  
                 if(out_d2.size())
                 {
                     Vmath::Vmul  (TotPts,&df[6][0],1,&Diff0[0],1, &out_d2[0], 1);
                     Vmath::Vvtvp (TotPts,&df[7][0],1,&Diff1[0],1, &out_d2[0], 1, &out_d2[0],1);
                     Vmath::Vvtvp (TotPts,&df[8][0],1,&Diff2[0],1, &out_d2[0], 1, &out_d2[0],1);
                 }
             }
             else // regular geometry
             {
                 if(out_d0.size())
                 {
                     Vmath::Smul (TotPts,df[0][0],&Diff0[0],1, &out_d0[0], 1);
                     Blas::Daxpy (TotPts,df[1][0],&Diff1[0],1, &out_d0[0], 1);
                     Blas::Daxpy (TotPts,df[2][0],&Diff2[0],1, &out_d0[0], 1);
                 }
  
                 if(out_d1.size())
                 {
                     Vmath::Smul (TotPts,df[3][0],&Diff0[0],1, &out_d1[0], 1);
                     Blas::Daxpy (TotPts,df[4][0],&Diff1[0],1, &out_d1[0], 1);
                     Blas::Daxpy (TotPts,df[5][0],&Diff2[0],1, &out_d1[0], 1);
                 }
  
                 if(out_d2.size())
                 {
                     Vmath::Smul (TotPts,df[6][0],&Diff0[0],1, &out_d2[0], 1);
                     Blas::Daxpy (TotPts,df[7][0],&Diff1[0],1, &out_d2[0], 1);
                     Blas::Daxpy (TotPts,df[8][0],&Diff2[0],1, &out_d2[0], 1);
                 }
             }
         }

References Blas::Daxpy(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Smul(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ v_PhysEvaluate()

NekDouble Nektar::LocalRegions::TetExp::v_PhysEvaluate	(	const Array< OneD, const NekDouble > &	coord,
		const Array< OneD, const NekDouble > &	physvals
	)

protectedvirtual

Parameters

coord Physical space coordinate

Returns: Evaluation of expansion at given coordinate.

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 508 of file TetExp.cpp.

         {
             ASSERTL0(m_geom,"m_geom not defined");
  
             Array<OneD,NekDouble> Lcoord = Array<OneD,NekDouble>(3);
  
             // Get the local (eta) coordinates of the point
             m_geom->GetLocCoords(coord,Lcoord);
  
             // Evaluate point in local (eta) coordinates.
             return StdTetExp::v_PhysEvaluate(Lcoord,physvals);
         }

References ASSERTL0, and Nektar::LocalRegions::Expansion::m_geom.

◆ v_StdPhysEvaluate()

NekDouble Nektar::LocalRegions::TetExp::v_StdPhysEvaluate	(	const Array< OneD, const NekDouble > &	Lcoord,
		const Array< OneD, const NekDouble > &	physvals
	)

protectedvirtual

Given the local cartesian coordinate Lcoord evaluate the value of physvals at this point by calling through to the StdExpansion method

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 496 of file TetExp.cpp.

         {
             // Evaluate point in local (eta) coordinates.
             return StdTetExp::v_PhysEvaluate(Lcoord,physvals);
         }

◆ v_SVVLaplacianFilter()

void Nektar::LocalRegions::TetExp::v_SVVLaplacianFilter	(	Array< OneD, NekDouble > &	array,
		const StdRegions::StdMatrixKey &	mkey
	)

protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 1048 of file TetExp.cpp.

         {
             int nq = GetTotPoints();
  
             // Calculate sqrt of the Jacobian
             Array<OneD, const NekDouble> jac =
                                     m_metricinfo->GetJac(GetPointsKeys());
             Array<OneD, NekDouble> sqrt_jac(nq);
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vsqrt(nq,jac,1,sqrt_jac,1);
             }
             else
             {
                 Vmath::Fill(nq,sqrt(jac[0]),sqrt_jac,1);
             }
  
             // Multiply array by sqrt(Jac)
             Vmath::Vmul(nq,sqrt_jac,1,array,1,array,1);
  
             // Apply std region filter
             StdTetExp::v_SVVLaplacianFilter( array, mkey);
  
             // Divide by sqrt(Jac)
             Vmath::Vdiv(nq,array,1,sqrt_jac,1,array,1);
         }

References Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, tinysimd::sqrt(), Vmath::Vdiv(), Vmath::Vmul(), and Vmath::Vsqrt().

Member Data Documentation

◆ m_matrixManager

LibUtilities::NekManager<MatrixKey, DNekScalMat, MatrixKey::opLess> Nektar::LocalRegions::TetExp::m_matrixManager

private

Definition at line 215 of file TetExp.h.

Referenced by CreateMatrix(), v_FwdTrans(), and v_GetLocMatrix().

◆ m_staticCondMatrixManager

LibUtilities::NekManager<MatrixKey, DNekScalBlkMat, MatrixKey::opLess> Nektar::LocalRegions::TetExp::m_staticCondMatrixManager

private

Definition at line 216 of file TetExp.h.

Referenced by v_DropLocStaticCondMatrix(), and v_GetLocStaticCondMatrix().

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TetExp() [1/3]

◆ TetExp() [2/3]

◆ ~TetExp()

◆ TetExp() [3/3]

Member Function Documentation

◆ CreateMatrix()

◆ CreateStaticCondMatrix()

◆ GeneralMatrixOp_MatOp()

◆ SetUpInverseTransformationMatrix()

◆ v_AlignVectorToCollapsedDir()

◆ v_ComputeConditionNumberOfMatrix()

◆ v_ComputeLaplacianMetric()

◆ v_ComputeTraceNormal()

◆ v_CreateStdMatrix()

◆ v_DetShapeType()

◆ v_DropLocStaticCondMatrix()

◆ v_ExtractDataToCoeffs()

◆ v_FwdTrans()

◆ v_GenMatrix()

◆ v_GetCoord()

◆ v_GetCoordim()

◆ v_GetCoords()

◆ v_GetLinStdExp()

◆ v_GetLocMatrix()

◆ v_GetLocStaticCondMatrix()

◆ v_GetStdExp()

◆ v_GetTracePhysMap()

◆ v_HelmholtzMatrixOp()

◆ v_Integral()

◆ v_IProductWRTBase()

◆ v_IProductWRTBase_SumFac()

◆ v_IProductWRTDerivBase()

◆ v_LaplacianMatrixOp() [1/2]

◆ v_LaplacianMatrixOp() [2/2]

◆ v_LaplacianMatrixOp_MatFree_Kernel()

◆ v_PhysDeriv()

◆ v_PhysEvaluate()

◆ v_StdPhysEvaluate()

◆ v_SVVLaplacianFilter()

Member Data Documentation

◆ m_matrixManager

◆ m_staticCondMatrixManager