Nektar::LocalRegions::NodalTriExp Class Reference

#include <NodalTriExp.h>

Inheritance diagram for Nektar::LocalRegions::NodalTriExp:

Public Member Functions
	NodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype, const SpatialDomains::TriGeomSharedPtr &geom)
	Constructor using BasisKey class for quadrature points and order definition. More...
	NodalTriExp (const NodalTriExp &T)
	Copy Constructor. More...
	~NodalTriExp ()
	Destructor. More...
void	GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
void	GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
	Integrate the physical point list inarray over region. More...
void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray. More...
void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
	Differentiation Methods. More...
void	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...
NekDouble	PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
void	MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void	LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void	LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void	WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void	HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Public Member Functions inherited from Nektar::StdRegions::StdNodalTriExp
	StdNodalTriExp ()
	StdNodalTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::PointsType Ntype)
	StdNodalTriExp (const StdNodalTriExp &T)
	~StdNodalTriExp ()
void	NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
DNekMatSharedPtr	GenNBasisTransMatrix ()
Public Member Functions inherited from Nektar::StdRegions::StdTriExp
	StdTriExp ()
	StdTriExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
	StdTriExp (const StdTriExp &T)
	~StdTriExp ()
Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D
	StdExpansion2D ()
	StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
	StdExpansion2D (const StdExpansion2D &T)
virtual	~StdExpansion2D ()
void	PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d0, Array< OneD, NekDouble > &outarray_d1)
	Calculate the 2D derivative in the local tensor/collapsed coordinate at the physical points. More...
NekDouble	Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1)
void	BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
void	IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
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	FwdTransBndConstrained (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	GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
void	GetElmtTraceToTraceMap (const unsigned 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)
virtual void	v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble >> &Fvec, Array< OneD, NekDouble > &outarray)
virtual void	v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
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::Expansion2D
	Expansion2D (SpatialDomains::Geometry2DSharedPtr pGeom)
virtual	~Expansion2D ()
DNekScalMatSharedPtr	CreateMatrix (const MatrixKey &mkey)
void	SetTraceToGeomOrientation (Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &inout)
Array< OneD, unsigned int >	GetTraceInverseBoundaryMap (int eid)
void	AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble >> &edgeCoeffs, Array< OneD, NekDouble > &outarray)
void	AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs)
void	AddEdgeBoundaryInt (const int edge, ExpansionSharedPtr &EdgeExp, Array< OneD, NekDouble > &edgePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
void	AddHDGHelmholtzEdgeTerms (const NekDouble tau, const int edge, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, NekDouble > &edgePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
void	AddHDGHelmholtzTraceTerms (const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
SpatialDomains::Geometry2DSharedPtr	GetGeom2D () const
void	ReOrientEdgePhysMap (const int nvert, const StdRegions::Orientation orient, const int nq0, Array< OneD, int > &idmap)
virtual void	v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp)
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)
DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)
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)
void	NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble >> &factors, Array< OneD, Array< OneD, NekDouble >> &d0factors, Array< OneD, Array< OneD, NekDouble >> &d1factors)
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)
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)
void	TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)
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
void	StdDerivBaseOnTraceMat (Array< OneD, DNekMatSharedPtr > &DerivMat)

Protected Member Functions
DNekMatSharedPtr	CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)
void	IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
void	IProductWRTBase_MatOp (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	IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual StdRegions::StdExpansionSharedPtr	v_GetStdExp (void) const
virtual StdRegions::StdExpansionSharedPtr	v_GetLinStdExp (void) const
virtual DNekMatSharedPtr	v_GenMatrix (const StdRegions::StdMatrixKey &mkey)
Protected Member Functions inherited from Nektar::StdRegions::StdNodalTriExp
virtual const LibUtilities::PointsKey	v_GetNodalPointsKey () const
virtual bool	v_IsNodalNonTensorialExp ()
virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Backward tranform for triangular elements. More...
virtual void	v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)
virtual int	v_NumBndryCoeffs () const
virtual int	v_GetVertexMap (int localVertexId, bool useCoeffPacking=false)
virtual void	v_GetTraceToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient=eForwards, int P=-1, int Q=-1)
virtual void	v_GetTraceInteriorToElementMap (const int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation edgeOrient=eForwards)
virtual void	v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
virtual void	v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
Protected Member Functions inherited from Nektar::StdRegions::StdTriExp
virtual void	v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
virtual void	v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
virtual void	v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
virtual void	v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
NekDouble	v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final
virtual int	v_GetNverts () const
virtual int	v_GetNtraces () const
virtual LibUtilities::ShapeType	v_DetShapeType () const
virtual int	v_NumDGBndryCoeffs () const
virtual int	v_GetTraceNcoeffs (const int i) const
virtual int	v_GetTraceNumPoints (const int i) const
virtual int	v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
virtual bool	v_IsBoundaryInteriorExpansion ()
virtual const LibUtilities::BasisKey	v_GetTraceBasisKey (const int i, const int j) const
virtual void	v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
virtual void	v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
virtual void	v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void	v_MultiplyByStdQuadratureMetric (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::StdExpansion2D
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_GetElmtTraceToTraceMap (const unsigned int eid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation edgeOrient, int P, int Q)
	Determine the mapping to re-orientate the coefficients along the element trace (assumed to align with the standard element) into the orientation of the local trace given by edgeOrient. More...
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)
virtual NekDouble	v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
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::Expansion2D
virtual Array< OneD, NekDouble >	v_GetMF (const int dir, const int shapedim, const StdRegions::VarCoeffMap &varcoeffs)
virtual Array< OneD, NekDouble >	v_GetMFDiv (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
virtual Array< OneD, NekDouble >	v_GetMFMag (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
virtual void	v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble >> &edgeCoeffs, Array< OneD, NekDouble > &out_d)
virtual void	v_AddEdgeNormBoundaryInt (const int edge, const ExpansionSharedPtr &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 ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
virtual void	v_AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
virtual void	v_AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs)
virtual DNekMatSharedPtr	v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
void	GetPhysEdgeVarCoeffsFromElement (const int edge, ExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &varcoeff, Array< OneD, NekDouble > &outarray)
Array< OneD, NekDouble >	v_GetnEdgecdotMF (const int dir, const int edge, ExpansionSharedPtr &EdgeExp_e, const Array< OneD, const Array< OneD, NekDouble >> &normals, const StdRegions::VarCoeffMap &varcoeffs)
void	v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1)
virtual void	v_SetUpPhysNormals (const int edge)
virtual NekDouble	v_VectorFlux (const Array< OneD, Array< OneD, NekDouble >> &vec)
virtual void	v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)
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)
virtual void	v_ComputeLaplacianMetric ()
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 DNekMatSharedPtr	v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
virtual void	v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
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 void	v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble >> &factors, Array< OneD, Array< OneD, NekDouble >> &d0factors, Array< OneD, Array< OneD, NekDouble >> &d1factors)
virtual StdRegions::Orientation	v_GetTraceOrient (int trace)
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 void	v_GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
virtual void	v_GetTracePhysMap (const int edge, Array< OneD, int > &outarray)
virtual const Array< OneD, const NekDouble > &	v_GetPhysNormals (void)
virtual void	v_SetPhysNormals (Array< OneD, const NekDouble > &normal)

Private Member Functions
virtual DNekMatSharedPtr	v_GenNBasisTransMatrix ()
virtual void	v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray)
virtual void	v_GetCoord (const Array< OneD, const NekDouble > &lcoord, Array< OneD, NekDouble > &coord)
virtual void	v_GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y)
virtual NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray)
	Virtual call to integrate the physical point list inarray over region (see SegExp::Integral) More...
virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Virtual call to TriExp::IProduct_WRT_B. More...
virtual void	v_IProductWRTDerivBase (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=NullNekDouble1DArray)
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=NullNekDouble1DArray)
	Calculate the derivative of the physical points. More...
virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Calculate the derivative of the physical points in a given direction. More...
virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Virtual call to SegExp::FwdTrans. More...
virtual NekDouble	v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
	Virtual call to TriExp::Evaluate. More...
virtual DNekMatSharedPtr	v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)
virtual DNekScalMatSharedPtr	v_GetLocMatrix (const MatrixKey &mkey)
virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const MatrixKey &mkey)
virtual void	v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
virtual void	v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble >> &outarray)
virtual void	v_MassMatrixOp (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_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void	v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
void	v_ComputeTraceNormal (const int edge)

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::StdNodalTriExp
LibUtilities::PointsKey	m_nodalPointsKey
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::Expansion2D
std::vector< bool >	m_requireNeg
Protected Attributes inherited from Nektar::LocalRegions::Expansion
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_indexMapManager
std::map< int, ExpansionWeakPtr >	m_traceExp
SpatialDomains::GeometrySharedPtr	m_geom
SpatialDomains::GeomFactorsSharedPtr	m_metricinfo
MetricMap	m_metrics
std::map< int, NormalVector >	m_traceNormals
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

Definition at line 52 of file NodalTriExp.h.

Constructor & Destructor Documentation

NodalTriExp() [1/2]

Nektar::LocalRegions::NodalTriExp::NodalTriExp	(	const LibUtilities::BasisKey &	Ba,
		const LibUtilities::BasisKey &	Bb,
		const LibUtilities::PointsType	Ntype,
		const SpatialDomains::TriGeomSharedPtr &	geom
	)

Constructor using BasisKey class for quadrature points and order definition.

Definition at line 44 of file NodalTriExp.cpp.

    : StdExpansion(LibUtilities::StdTriData::getNumberOfCoefficients(
                       Ba.GetNumModes(), (Bb.GetNumModes())),
                   2, Ba, Bb),
      StdExpansion2D(LibUtilities::StdTriData::getNumberOfCoefficients(
                         Ba.GetNumModes(), (Bb.GetNumModes())),
                     Ba, Bb),
      StdNodalTriExp(Ba, Bb, Ntype), Expansion(geom), Expansion2D(geom),
      m_matrixManager(
          std::bind(&Expansion2D::CreateMatrix, this, std::placeholders::_1),
          std::string("NodalTriExpMatrix")),
      m_staticCondMatrixManager(std::bind(&Expansion::CreateStaticCondMatrix,
                                          this, std::placeholders::_1),
                                std::string("NodalTriExpStaticCondMatrix"))
{
}

NodalTriExp() [2/2]

Nektar::LocalRegions::NodalTriExp::NodalTriExp

(

const NodalTriExp &

T

)

Copy Constructor.

Definition at line 64 of file NodalTriExp.cpp.

    : StdExpansion(T), StdExpansion2D(T), StdRegions::StdNodalTriExp(T),
      Expansion(T), Expansion2D(T), m_matrixManager(T.m_matrixManager),
      m_staticCondMatrixManager(T.m_staticCondMatrixManager)
{
}

~NodalTriExp()

Nektar::LocalRegions::NodalTriExp::~NodalTriExp

(

)

Destructor.

Definition at line 71 of file NodalTriExp.cpp.

{
}

Member Function Documentation

CreateStdMatrix()

DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::CreateStdMatrix ( const StdRegions::StdMatrixKey &  mkey )

protected

Definition at line 440 of file NodalTriExp.cpp.

{
    LibUtilities::BasisKey bkey0   = m_base[0]->GetBasisKey();
    LibUtilities::BasisKey bkey1   = m_base[1]->GetBasisKey();
    LibUtilities::PointsType ntype = m_nodalPointsKey.GetPointsType();
    StdRegions::StdNodalTriExpSharedPtr tmp =
        MemoryManager<StdNodalTriExp>::AllocateSharedPtr(bkey0, bkey1, ntype);
 
    return tmp->GetStdMatrix(mkey);
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.

Referenced by v_CreateStdMatrix().

FwdTrans()

void Nektar::LocalRegions::NodalTriExp::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

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

Inputs:

• inarray: array of physical quadrature points to be transformed

Outputs:

• (this)->_coeffs: updated array of expansion coefficients.

Definition at line 373 of file NodalTriExp.cpp.

{
    IProductWRTBase(inarray, outarray);
 
    // get Mass matrix inverse
    MatrixKey masskey(StdRegions::eInvMass, DetShapeType(), *this,
                      StdRegions::NullConstFactorMap,
                      StdRegions::NullVarCoeffMap,
                      m_nodalPointsKey.GetPointsType());
    DNekScalMatSharedPtr matsys = m_matrixManager[masskey];
 
    // copy inarray in case inarray == outarray
    NekVector<NekDouble> in(m_ncoeffs, outarray, eCopy);
    NekVector<NekDouble> out(m_ncoeffs, outarray, eWrapper);
 
    out = (*matsys) * in;
}

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::LibUtilities::PointsKey::GetPointsType(), IProductWRTBase(), m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_FwdTrans().

GeneralMatrixOp_MatOp()

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

protected

Definition at line 392 of file NodalTriExp.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().

GetCoord()

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

Definition at line 423 of file NodalTriExp.cpp.

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

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

Referenced by v_GetCoord().

GetCoords()

void Nektar::LocalRegions::NodalTriExp::GetCoords	(	Array< OneD, NekDouble > &	coords_1,
		Array< OneD, NekDouble > &	coords_2,
		Array< OneD, NekDouble > &	coords_3 = NullNekDouble1DArray
	)

Definition at line 415 of file NodalTriExp.cpp.

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

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

Referenced by v_GetCoords().

HelmholtzMatrixOp()

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

inline

Definition at line 155 of file NodalTriExp.h.

    {
        StdExpansion::HelmholtzMatrixOp_MatFree_GenericImpl(inarray, outarray,
                                                            mkey);
    }

Referenced by v_HelmholtzMatrixOp().

Integral()

NekDouble Nektar::LocalRegions::NodalTriExp::Integral

(

const Array< OneD, const NekDouble > &

inarray

)

Integrate the physical point list inarray over region.

Integrate the physical point list inarray over region and return the value.

Inputs:

• inarray: definition of function to be returned at quadrature point of expansion.

Outputs:

• returns \(\int^1_{-1}\int^1_{-1} u(\xi_1, \xi_2) J[i,j] d \xi_1 d \xi_2 \) where \(inarray[i,j] = u(\xi_{1i},\xi_{2j}) \) and \( J[i,j] \) is the Jacobian evaluated at the quadrature point.

Definition at line 95 of file NodalTriExp.cpp.

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

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_Integral().

IProductWRTBase()

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

inline

Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray.

Definition at line 86 of file NodalTriExp.h.

    {
        NodalTriExp::IProductWRTBase_SumFac(inarray, outarray);
    }

References IProductWRTBase_SumFac().

Referenced by FwdTrans(), and v_IProductWRTBase().

IProductWRTBase_MatOp()

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

protected

Definition at line 147 of file NodalTriExp.cpp.

{
    int nq = GetTotPoints();
    MatrixKey iprodmatkey(StdRegions::eIProductWRTBase, DetShapeType(), *this);
    DNekScalMatSharedPtr iprodmat = m_matrixManager[iprodmatkey];
 
    Blas::Dgemv('N', m_ncoeffs, nq, iprodmat->Scale(),
                (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
                inarray.get(), 1, 0.0, outarray.get(), 1);
}

References Nektar::StdRegions::StdExpansion::DetShapeType(), Blas::Dgemv(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.

IProductWRTBase_SumFac()

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

protected

Definition at line 118 of file NodalTriExp.cpp.

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

References Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose().

Referenced by IProductWRTBase(), and v_IProductWRTBase_SumFac().

IProductWRTDerivBase()

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

inline

Definition at line 92 of file NodalTriExp.h.

    {
        NodalTriExp::IProductWRTDerivBase_SumFac(dir, inarray, outarray);
    }

References IProductWRTDerivBase_SumFac().

Referenced by v_IProductWRTDerivBase().

IProductWRTDerivBase_MatOp()

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

protected

Definition at line 256 of file NodalTriExp.cpp.

{
    int nq                       = GetTotPoints();
    StdRegions::MatrixType mtype = StdRegions::eIProductWRTDerivBase0;
 
    switch (dir)
    {
        case 0:
        {
            mtype = StdRegions::eIProductWRTDerivBase0;
        }
        break;
        case 1:
        {
            mtype = StdRegions::eIProductWRTDerivBase1;
        }
        break;
        case 2:
        {
            mtype = StdRegions::eIProductWRTDerivBase2;
        }
        break;
        default:
        {
            ASSERTL1(false, "input dir is out of range");
        }
        break;
    }
 
    MatrixKey iprodmatkey(mtype, DetShapeType(), *this);
    DNekScalMatSharedPtr iprodmat = m_matrixManager[iprodmatkey];
 
    Blas::Dgemv('N', m_ncoeffs, nq, iprodmat->Scale(),
                (iprodmat->GetOwnedMatrix())->GetPtr().get(), m_ncoeffs,
                inarray.get(), 1, 0.0, outarray.get(), 1);
}

References ASSERTL1, Nektar::StdRegions::StdExpansion::DetShapeType(), Blas::Dgemv(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::eIProductWRTDerivBase2, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.

IProductWRTDerivBase_SumFac()

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

protected

Definition at line 160 of file NodalTriExp.cpp.

{
    int nquad0  = m_base[0]->GetNumPoints();
    int nquad1  = m_base[1]->GetNumPoints();
    int nqtot   = nquad0 * nquad1;
    int wspsize = max(nqtot, m_ncoeffs);
 
    Array<OneD, NekDouble> tmp0(4 * wspsize);
    Array<OneD, NekDouble> tmp1(tmp0 + wspsize);
    Array<OneD, NekDouble> tmp2(tmp0 + 2 * wspsize);
    Array<OneD, NekDouble> tmp3(tmp0 + 3 * wspsize);
 
    Array<OneD, Array<OneD, NekDouble>> tmp2D{2};
    tmp2D[0] = tmp1;
    tmp2D[1] = tmp2;
 
    AlignVectorToCollapsedDir(dir, inarray, tmp2D);
 
    MultiplyByQuadratureMetric(tmp1, tmp1);
    MultiplyByQuadratureMetric(tmp2, tmp2);
 
    IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(), m_base[1]->GetBdata(),
                                 tmp1, tmp3, tmp0);
    IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(), m_base[1]->GetDbdata(),
                                 tmp2, outarray, tmp0);
    Vmath::Vadd(m_ncoeffs, tmp3, 1, outarray, 1, outarray, 1);
 
    NodalToModalTranspose(outarray, outarray);
}

References Nektar::LocalRegions::Expansion::AlignVectorToCollapsedDir(), Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Nektar::StdRegions::StdNodalTriExp::NodalToModalTranspose(), and Vmath::Vadd().

Referenced by IProductWRTDerivBase(), and v_IProductWRTDerivBase_SumFac().

LaplacianMatrixOp() [1/2]

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

inline

Definition at line 130 of file NodalTriExp.h.

    {
        StdExpansion::LaplacianMatrixOp_MatFree_GenericImpl(inarray, outarray,
                                                            mkey);
    }

Referenced by v_LaplacianMatrixOp().

LaplacianMatrixOp() [2/2]

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

inline

Definition at line 138 of file NodalTriExp.h.

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

MassMatrixOp()

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

inline

Definition at line 123 of file NodalTriExp.h.

    {
        StdExpansion::MassMatrixOp_MatFree(inarray, outarray, mkey);
    }

Referenced by v_MassMatrixOp().

PhysDeriv()

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

Differentiation Methods.

Calculate the deritive of the physical points

Definition at line 302 of file NodalTriExp.cpp.

{
    int nquad0 = m_base[0]->GetNumPoints();
    int nquad1 = m_base[1]->GetNumPoints();
    int nqtot  = nquad0 * nquad1;
    const Array<TwoD, const NekDouble> &df =
        m_metricinfo->GetDerivFactors(GetPointsKeys());
 
    Array<OneD, NekDouble> diff0(2 * nqtot);
    Array<OneD, NekDouble> diff1(diff0 + nqtot);
 
    StdNodalTriExp::v_PhysDeriv(inarray, diff0, diff1);
 
    if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
    {
        if (out_d0.size())
        {
            Vmath::Vmul(nqtot, df[0], 1, diff0, 1, out_d0, 1);
            Vmath::Vvtvp(nqtot, df[1], 1, diff1, 1, out_d0, 1, out_d0, 1);
        }
 
        if (out_d1.size())
        {
            Vmath::Vmul(nqtot, df[2], 1, diff0, 1, out_d1, 1);
            Vmath::Vvtvp(nqtot, df[3], 1, diff1, 1, out_d1, 1, out_d1, 1);
        }
 
        if (out_d2.size())
        {
            Vmath::Vmul(nqtot, df[4], 1, diff0, 1, out_d2, 1);
            Vmath::Vvtvp(nqtot, df[5], 1, diff1, 1, out_d2, 1, out_d2, 1);
        }
    }
    else // regular geometry
    {
        if (out_d0.size())
        {
            Vmath::Smul(nqtot, df[0][0], diff0, 1, out_d0, 1);
            Blas::Daxpy(nqtot, df[1][0], diff1, 1, out_d0, 1);
        }
 
        if (out_d1.size())
        {
            Vmath::Smul(nqtot, df[2][0], diff0, 1, out_d1, 1);
            Blas::Daxpy(nqtot, df[3][0], diff1, 1, out_d1, 1);
        }
 
        if (out_d2.size())
        {
            Vmath::Smul(nqtot, df[4][0], diff0, 1, out_d2, 1);
            Blas::Daxpy(nqtot, df[5][0], diff1, 1, out_d2, 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().

Referenced by v_PhysDeriv().

PhysEvaluate()

NekDouble Nektar::LocalRegions::NodalTriExp::PhysEvaluate	(	const Array< OneD, const NekDouble > &	coord,
		const Array< OneD, const NekDouble > &	physvals
	)

Definition at line 452 of file NodalTriExp.cpp.

{
    Array<OneD, NekDouble> Lcoord = Array<OneD, NekDouble>(2);
 
    ASSERTL0(m_geom, "m_geom not defined");
    m_geom->GetLocCoords(coord, Lcoord);
 
    return StdNodalTriExp::v_PhysEvaluate(Lcoord, physvals);
}

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

Referenced by v_PhysEvaluate().

v_AlignVectorToCollapsedDir()

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

privatevirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 192 of file NodalTriExp.cpp.

{
    ASSERTL1((dir == 0) || (dir == 1) || (dir == 2), "Invalid direction.");
    ASSERTL1((dir == 2) ? (m_geom->GetCoordim() == 3) : true,
             "Invalid direction.");
 
    int nquad0  = m_base[0]->GetNumPoints();
    int nquad1  = m_base[1]->GetNumPoints();
    int nqtot   = nquad0 * nquad1;
    int wspsize = max(nqtot, m_ncoeffs);
 
    const Array<TwoD, const NekDouble> &df =
        m_metricinfo->GetDerivFactors(GetPointsKeys());
 
    Array<OneD, NekDouble> tmp0(4 * wspsize);
    Array<OneD, NekDouble> tmp3(tmp0 + wspsize);
    Array<OneD, NekDouble> gfac0(tmp0 + 2 * wspsize);
    Array<OneD, NekDouble> gfac1(tmp0 + 3 * wspsize);
 
    Array<OneD, NekDouble> tmp1 = outarray[0];
    Array<OneD, NekDouble> tmp2 = outarray[1];
 
    const Array<OneD, const NekDouble> &z0 = m_base[0]->GetZ();
    const Array<OneD, const NekDouble> &z1 = m_base[1]->GetZ();
 
    // set up geometric factor: 2/(1-z1)
    for (int i = 0; i < nquad1; ++i)
    {
        gfac0[i] = 2.0 / (1 - z1[i]);
    }
    for (int i = 0; i < nquad0; ++i)
    {
        gfac1[i] = 0.5 * (1 + z0[i]);
    }
 
    for (int i = 0; i < nquad1; ++i)
    {
        Vmath::Smul(nquad0, gfac0[i], &inarray[0] + i * nquad0, 1,
                    &tmp0[0] + i * nquad0, 1);
    }
 
    for (int i = 0; i < nquad1; ++i)
    {
        Vmath::Vmul(nquad0, &gfac1[0], 1, &tmp0[0] + i * nquad0, 1,
                    &tmp1[0] + i * nquad0, 1);
    }
 
    if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
    {
        Vmath::Vmul(nqtot, &df[2 * dir][0], 1, &tmp0[0], 1, &tmp0[0], 1);
        Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &tmp1[0], 1, &tmp1[0], 1);
        Vmath::Vmul(nqtot, &df[2 * dir + 1][0], 1, &inarray[0], 1, &tmp2[0], 1);
    }
    else
    {
        Vmath::Smul(nqtot, df[2 * dir][0], tmp0, 1, tmp0, 1);
        Vmath::Smul(nqtot, df[2 * dir + 1][0], tmp1, 1, tmp1, 1);
        Vmath::Smul(nqtot, df[2 * dir + 1][0], inarray, 1, tmp2, 1);
    }
    Vmath::Vadd(nqtot, tmp0, 1, tmp1, 1, tmp1, 1);
}

References ASSERTL1, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().

v_BwdTrans_SumFac()

virtual void Nektar::LocalRegions::NodalTriExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  outarray  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 330 of file NodalTriExp.h.

    {
        StdNodalTriExp::v_BwdTrans_SumFac(inarray, outarray);
    }

v_ComputeTraceNormal()

void Nektar::LocalRegions::NodalTriExp::v_ComputeTraceNormal ( const int  edge )

privatevirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 505 of file NodalTriExp.cpp.

{
    int i;
    const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
        GetGeom()->GetMetricInfo();
    const SpatialDomains::GeomType type = geomFactors->GetGtype();
 
    LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
    const Array<TwoD, const NekDouble> &df =
        geomFactors->GetDerivFactors(ptsKeys);
    const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
    int nqe                                 = m_base[0]->GetNumPoints();
    int dim                                 = GetCoordim();
 
    m_traceNormals[edge] = Array<OneD, Array<OneD, NekDouble>>(dim);
    Array<OneD, Array<OneD, NekDouble>> &normal = m_traceNormals[edge];
    for (i = 0; i < dim; ++i)
    {
        normal[i] = Array<OneD, NekDouble>(nqe);
    }
 
    size_t nqb                     = nqe;
    size_t nbnd                    = edge;
    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 (edge)
        {
            case 0:
                for (i = 0; i < GetCoordim(); ++i)
                {
                    Vmath::Fill(nqe, -df[2 * i + 1][0], normal[i], 1);
                }
                break;
            case 1:
                for (i = 0; i < GetCoordim(); ++i)
                {
                    Vmath::Fill(nqe, df[2 * i + 1][0] + df[2 * i][0], normal[i],
                                1);
                }
                break;
            case 2:
                for (i = 0; i < GetCoordim(); ++i)
                {
                    Vmath::Fill(nqe, -df[2 * i][0], normal[i], 1);
                }
                break;
            default:
                ASSERTL0(false, "Edge is out of range (edge < 3)");
        }
 
        // normalise
        fac = 0.0;
        for (i = 0; i < GetCoordim(); ++i)
        {
            fac += normal[i][0] * normal[i][0];
        }
        fac = 1.0 / sqrt(fac);
 
        Vmath::Fill(nqb, fac, length, 1);
 
        for (i = 0; i < GetCoordim(); ++i)
        {
            Vmath::Smul(nqe, fac, normal[i], 1, normal[i], 1);
        }
    }
    else // Set up deformed normals
    {
        int j;
 
        int nquad0 = ptsKeys[0].GetNumPoints();
        int nquad1 = ptsKeys[1].GetNumPoints();
 
        LibUtilities::PointsKey from_key;
 
        Array<OneD, NekDouble> normals(GetCoordim() * max(nquad0, nquad1), 0.0);
        Array<OneD, NekDouble> edgejac(GetCoordim() * max(nquad0, nquad1), 0.0);
 
        // Extract Jacobian along edges and recover local
        // derivates (dx/dr) for polynomial interpolation by
        // multiplying m_gmat by jacobian
        switch (edge)
        {
            case 0:
                for (j = 0; j < nquad0; ++j)
                {
                    edgejac[j] = jac[j];
                    for (i = 0; i < GetCoordim(); ++i)
                    {
                        normals[i * nquad0 + j] =
                            -df[2 * i + 1][j] * edgejac[j];
                    }
                }
                from_key = ptsKeys[0];
                break;
            case 1:
                for (j = 0; j < nquad1; ++j)
                {
                    edgejac[j] = jac[nquad0 * j + nquad0 - 1];
                    for (i = 0; i < GetCoordim(); ++i)
                    {
                        normals[i * nquad1 + j] =
                            (df[2 * i][nquad0 * j + nquad0 - 1] +
                             df[2 * i + 1][nquad0 * j + nquad0 - 1]) *
                            edgejac[j];
                    }
                }
                from_key = ptsKeys[1];
                break;
            case 2:
                for (j = 0; j < nquad1; ++j)
                {
                    edgejac[j] = jac[nquad0 * j];
                    for (i = 0; i < GetCoordim(); ++i)
                    {
                        normals[i * nquad1 + j] =
                            -df[2 * i][nquad0 * j] * edgejac[j];
                    }
                }
                from_key = ptsKeys[1];
                break;
            default:
                ASSERTL0(false, "edge is out of range (edge < 3)");
        }
 
        int nq = from_key.GetNumPoints();
        Array<OneD, NekDouble> work(nqe, 0.0);
 
        // interpolate Jacobian and invert
        LibUtilities::Interp1D(from_key, jac, m_base[0]->GetPointsKey(), work);
        Vmath::Sdiv(nq, 1.0, &work[0], 1, &work[0], 1);
 
        // interpolate
        for (i = 0; i < GetCoordim(); ++i)
        {
            LibUtilities::Interp1D(from_key, &normals[i * nq],
                                   m_base[0]->GetPointsKey(), &normal[i][0]);
            Vmath::Vmul(nqe, work, 1, normal[i], 1, normal[i], 1);
        }
 
        // normalise normal vectors
        Vmath::Zero(nqe, work, 1);
        for (i = 0; i < GetCoordim(); ++i)
        {
            Vmath::Vvtvp(nqe, normal[i], 1, normal[i], 1, work, 1, work, 1);
        }
 
        Vmath::Vsqrt(nqe, work, 1, work, 1);
        Vmath::Sdiv(nqe, 1.0, work, 1, work, 1);
 
        Vmath::Vcopy(nqb, work, 1, length, 1);
 
        for (i = 0; i < GetCoordim(); ++i)
        {
            Vmath::Vmul(nqe, normal[i], 1, work, 1, normal[i], 1);
        }
 
        // Reverse direction so that points are in
        // anticlockwise direction if edge >=2
        if (edge >= 2)
        {
            for (i = 0; i < GetCoordim(); ++i)
            {
                Vmath::Reverse(nqe, normal[i], 1, normal[i], 1);
            }
        }
    }
}

References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::PointsKey::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp1D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen, Nektar::LocalRegions::Expansion::m_traceNormals, Vmath::Reverse(), Vmath::Sdiv(), Vmath::Smul(), tinysimd::sqrt(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().

v_CreateStdMatrix()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 304 of file NodalTriExp.h.

    {
        return CreateStdMatrix(mkey);
    }

References CreateStdMatrix().

v_FwdTrans()

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

inlineprivatevirtual

Virtual call to SegExp::FwdTrans.

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 289 of file NodalTriExp.h.

    {
        FwdTrans(inarray, outarray);
    }

References FwdTrans().

v_GenMatrix()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 484 of file NodalTriExp.cpp.

{
    DNekMatSharedPtr returnval;
 
    switch (mkey.GetMatrixType())
    {
        case StdRegions::eHybridDGHelmholtz:
        case StdRegions::eHybridDGLamToU:
        case StdRegions::eHybridDGLamToQ0:
        case StdRegions::eHybridDGLamToQ1:
        case StdRegions::eHybridDGLamToQ2:
        case StdRegions::eHybridDGHelmBndLam:
            returnval = Expansion2D::v_GenMatrix(mkey);
            break;
        default:
            returnval = StdNodalTriExp::v_GenMatrix(mkey);
            break;
    }
    return returnval;
}

References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion2D::v_GenMatrix().

v_GenNBasisTransMatrix()

virtual DNekMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GenNBasisTransMatrix ( )

inlineprivatevirtual

Definition at line 200 of file NodalTriExp.h.

    {
        return StdNodalTriExp::GenNBasisTransMatrix();
    }

v_GetCoord()

virtual void Nektar::LocalRegions::NodalTriExp::v_GetCoord ( const Array< OneD, const NekDouble > &  lcoord, Array< OneD, NekDouble > &  coord  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 213 of file NodalTriExp.h.

    {
        GetCoord(lcoord, coord);
    }

References GetCoord().

v_GetCoords()

virtual void Nektar::LocalRegions::NodalTriExp::v_GetCoords ( Array< OneD, NekDouble > &  coords_0, Array< OneD, NekDouble > &  coords_1 = NullNekDouble1DArray, Array< OneD, NekDouble > &  coords_2 = NullNekDouble1DArray  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 205 of file NodalTriExp.h.

    {
        GetCoords(coords_0, coords_1, coords_2);
    }

References GetCoords().

v_GetLinStdExp()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 473 of file NodalTriExp.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());
 
    return MemoryManager<StdRegions::StdNodalTriExp>::AllocateSharedPtr(
        bkey0, bkey1, m_nodalPointsKey.GetPointsType());
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.

v_GetLocMatrix()

virtual DNekScalMatSharedPtr Nektar::LocalRegions::NodalTriExp::v_GetLocMatrix ( const MatrixKey &  mkey )

inlineprivatevirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 310 of file NodalTriExp.h.

    {
        return m_matrixManager[mkey];
    }

References m_matrixManager.

v_GetLocStaticCondMatrix()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 324 of file NodalTriExp.h.

    {
        return m_staticCondMatrixManager[mkey];
    }

References m_staticCondMatrixManager.

v_GetNodalPoints()

virtual void Nektar::LocalRegions::NodalTriExp::v_GetNodalPoints ( Array< OneD, const NekDouble > &  x, Array< OneD, const NekDouble > &  y  )

inlineprivatevirtual

Definition at line 219 of file NodalTriExp.h.

    {
        return StdNodalTriExp::GetNodalPoints(x, y);
    }

v_GetStdExp()

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 465 of file NodalTriExp.cpp.

{
 
    return MemoryManager<StdRegions::StdNodalTriExp>::AllocateSharedPtr(
        m_base[0]->GetBasisKey(), m_base[1]->GetBasisKey(),
        m_nodalPointsKey.GetPointsType());
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::PointsKey::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdNodalTriExp::m_nodalPointsKey.

v_HelmholtzMatrixOp()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 383 of file NodalTriExp.h.

    {
        HelmholtzMatrixOp(inarray, outarray, mkey);
    }

References HelmholtzMatrixOp().

v_Integral()

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

inlineprivatevirtual

Virtual call to integrate the physical point list inarray over region (see SegExp::Integral)

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 227 of file NodalTriExp.h.

    {
        return Integral(inarray);
    }

References Integral().

v_IProductWRTBase()

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

inlineprivatevirtual

Virtual call to TriExp::IProduct_WRT_B.

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 233 of file NodalTriExp.h.

    {
        IProductWRTBase(inarray, outarray);
    }

References IProductWRTBase().

v_IProductWRTBase_SumFac()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 336 of file NodalTriExp.h.

    {
        boost::ignore_unused(multiplybyweights);
        IProductWRTBase_SumFac(inarray, outarray);
    }

References IProductWRTBase_SumFac().

v_IProductWRTDerivBase()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 239 of file NodalTriExp.h.

    {
        IProductWRTDerivBase(dir, inarray, outarray);
    }

References IProductWRTDerivBase().

v_IProductWRTDerivBase_SumFac()

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 344 of file NodalTriExp.h.

    {
        IProductWRTDerivBase_SumFac(dir, inarray, outarray);
    }

References IProductWRTDerivBase_SumFac().

v_LaplacianMatrixOp() [1/2]

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 362 of file NodalTriExp.h.

    {
        LaplacianMatrixOp(inarray, outarray, mkey);
    }

References LaplacianMatrixOp().

v_LaplacianMatrixOp() [2/2]

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

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 369 of file NodalTriExp.h.

    {
        LaplacianMatrixOp(k1, k2, inarray, outarray, mkey);
    }

References LaplacianMatrixOp().

v_MassMatrixOp()

virtual void Nektar::LocalRegions::NodalTriExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  outarray, const StdRegions::StdMatrixKey &  mkey  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 355 of file NodalTriExp.h.

    {
        MassMatrixOp(inarray, outarray, mkey);
    }

References MassMatrixOp().

v_PhysDeriv() [1/2]

virtual void Nektar::LocalRegions::NodalTriExp::v_PhysDeriv ( const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  out_d0, Array< OneD, NekDouble > &  out_d1, Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray  )

inlineprivatevirtual

Calculate the derivative of the physical points.

\( \frac{\partial u}{\partial x_1} = \left . \frac{2.0}{1-\eta_2} \frac{\partial u}{\partial d\eta_1} \right |_{\eta_2}\)

\( \frac{\partial u}{\partial x_2} = \left . \frac{1+\eta_1}{1-\eta_2} \frac{\partial u}{\partial d\eta_1} \right |_{\eta_2} + \left . \frac{\partial u}{\partial d\eta_2} \right |_{\eta_1} \)

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 254 of file NodalTriExp.h.

    {
        boost::ignore_unused(out_d2);
        PhysDeriv(inarray, out_d0, out_d1);
    }

References PhysDeriv().

v_PhysDeriv() [2/2]

virtual void Nektar::LocalRegions::NodalTriExp::v_PhysDeriv ( const int  dir, const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  out_d0  )

inlineprivatevirtual

Calculate the derivative of the physical points in a given direction.

See also

StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 263 of file NodalTriExp.h.

    {
        Array<OneD, NekDouble> tmp;
        switch (dir)
        {
            case 0:
            {
                PhysDeriv(inarray, outarray, tmp);
            }
            break;
            case 1:
            {
                PhysDeriv(inarray, tmp, outarray);
            }
            break;
            default:
            {
                ASSERTL1(dir >= 0 && dir < 2, "input dir is out of range");
            }
            break;
        }
    }

References ASSERTL1, and PhysDeriv().

v_PhysEvaluate()

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

inlineprivatevirtual

Virtual call to TriExp::Evaluate.

Reimplemented from Nektar::StdRegions::StdExpansion2D.

Definition at line 296 of file NodalTriExp.h.

    {
        return PhysEvaluate(coord, physvals);
    }

References PhysEvaluate().

v_StdPhysDeriv()

virtual void Nektar::LocalRegions::NodalTriExp::v_StdPhysDeriv ( const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  out_d0, Array< OneD, NekDouble > &  out_d1, Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdTriExp.

Definition at line 246 of file NodalTriExp.h.

    {
        StdTriExp::v_PhysDeriv(inarray, out_d0, out_d1, out_d2);
    }

v_WeakDerivMatrixOp()

virtual void Nektar::LocalRegions::NodalTriExp::v_WeakDerivMatrixOp ( const int  i, const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  outarray, const StdRegions::StdMatrixKey &  mkey  )

inlineprivatevirtual

Reimplemented from Nektar::StdRegions::StdNodalTriExp.

Definition at line 376 of file NodalTriExp.h.

    {
        WeakDerivMatrixOp(i, inarray, outarray, mkey);
    }

References WeakDerivMatrixOp().

WeakDerivMatrixOp()

void Nektar::LocalRegions::NodalTriExp::WeakDerivMatrixOp ( const int  i, const Array< OneD, const NekDouble > &  inarray, Array< OneD, NekDouble > &  outarray, const StdRegions::StdMatrixKey &  mkey  )

inline

Definition at line 147 of file NodalTriExp.h.

    {
        StdExpansion::WeakDerivMatrixOp_MatFree(i, inarray, outarray, mkey);
    }

Referenced by v_WeakDerivMatrixOp().

Member Data Documentation

m_matrixManager

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

private

Definition at line 191 of file NodalTriExp.h.

Referenced by FwdTrans(), IProductWRTBase_MatOp(), IProductWRTDerivBase_MatOp(), and v_GetLocMatrix().

m_staticCondMatrixManager

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

private

Definition at line 193 of file NodalTriExp.h.

Referenced by v_GetLocStaticCondMatrix().