#include <Expansion.h>

Inheritance diagram for Nektar::LocalRegions::Expansion:

Public Member Functions
	Expansion (SpatialDomains::Geometry *pGeom)

	Expansion (const Expansion &pSrc)

	~Expansion () override

void	SetTraceExp (const int traceid, ExpansionSharedPtr &f)

ExpansionSharedPtr	GetTraceExp (const int traceid)

ExpansionSharedPtr	GetLocTraceExp (const int traceid)

StdRegions::StdExpansionSharedPtr	GetStdExp () const

StdRegions::StdExpansionSharedPtr	GetLinStdExp (void) const

DNekScalMatSharedPtr	GetLocMatrix (const LocalRegions::MatrixKey &mkey)

void	DropLocMatrix (const LocalRegions::MatrixKey &mkey)

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

SpatialDomains::Geometry *	GetGeom () const

void	Reset ()

IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)

DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)

SpatialDomains::GeomFactors *	GetGeomFactors () const
	Get the geometric factors for this object, generating them if required.

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.

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).

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	GetLocTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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

void	ReOrientTracePhysVals (const StdRegions::Orientation orient, const Array< OneD, const NekDouble > &in, Array< OneD, NekDouble > &out, const int nq0, const int nq1, bool Forwards=true)

const NormalVector &	GetTraceNormal (const int id)

const std::map< int, NormalVector > &	GetTraceNormals (void)

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)

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)

void	PhysDerivBaseOnTraceMat (const int traceid, Array< OneD, DNekMatSharedPtr > &DerivMat)

void	PhysBaseOnTraceMat (const int traceid, DNekMatSharedPtr &BdataMat)

void	GenGeomFactors ()
	Handles generation of geometry factors.

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

	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.

	StdExpansion (const StdExpansion &T)
	Copy Constructor.

virtual	~StdExpansion ()
	Destructor.

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

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

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

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

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

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

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

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

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

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

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.

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

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

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.

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

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

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.

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

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

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion () const

bool	IsNodalNonTensorialExp ()

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

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

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

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.

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

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

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.

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

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

Array< OneD, Array< OneD, NekDouble > >	GetCoords ()

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

DNekMatSharedPtr	GetStdMatrix (const StdMatrixKey &mkey)

DNekBlkMatSharedPtr	GetStdStaticCondMatrix (const StdMatrixKey &mkey)

Array< OneD, const NekDouble >	GetStdFac (const StdFacKey &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 \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\)

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	LinearAdvectionMatrixOp (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	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)

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.

NekDouble	PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
	This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain.

NekDouble	PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)

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.

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.

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

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

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

void	PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData, bool Transpose=false)
	interpolate from one set of quadrature points available from FromExp to the set of quadrature points in the current expansion. If the points are the same this routine will just copy the data

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

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

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

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

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

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

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

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.

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.

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.

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.

void	PhysInterpToGLL (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)

void	PhysInterpToPoints (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset, MatrixType distrib)

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.

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.

void	EquiSpacedToPhys (const int nequi, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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

void	GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

Protected Member Functions
void	ComputeLaplacianMetric ()

void	ComputeQuadratureMetric ()

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

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

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

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

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

NekDouble	v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals) override

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

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

virtual void	v_ComputeLaplacianMetric ()

virtual StdRegions::StdExpansionSharedPtr	v_GetStdExp () const

virtual StdRegions::StdExpansionSharedPtr	v_GetLinStdExp (void) const

int	v_GetCoordim () const override

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

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

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

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

virtual DNekMatSharedPtr	v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

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

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

virtual void	v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors)

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

virtual StdRegions::Orientation	v_GetTraceOrient (int trace)

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

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_GetLocTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const NekDouble *inarray, Array< OneD, NekDouble > &outarray)

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

virtual void	v_ReOrientTracePhysVals (const StdRegions::Orientation orient, const Array< OneD, const NekDouble > &in, Array< OneD, NekDouble > &out, const int nq0, const int nq1, bool Forwards)

virtual void	v_ComputeTraceNormal (const int id)

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

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

virtual void	v_SetUpPhysNormals (const int id)

virtual void	v_AddRobinMassMatrix (const int face, 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 void	v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)

virtual void	v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp)

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

std::shared_ptr< Array< OneD, const NekDouble > >	CreateStdFac (const StdFacKey &mkey)

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

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

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

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

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
	This function performs the barycentric interpolation of the polynomial stored in `coord` at a point `physvals` using barycentric interpolation weights in direction.

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

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
	Helper function to pass an unused value by reference into BaryEvaluate.

template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)

virtual int	v_GetNverts () const =0

virtual int	v_GetNtraces () const =0

virtual int	v_NumBndryCoeffs () const =0

virtual int	v_NumDGBndryCoeffs () const =0

virtual int	v_GetTraceNcoeffs (const int i) const =0

virtual int	v_GetTraceIntNcoeffs (const int i) const =0

virtual int	v_GetTraceNumPoints (const int i) const =0

virtual const LibUtilities::BasisKey	v_GetTraceBasisKey (const int i, const int k, bool UseGLL=false) const

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

virtual const LibUtilities::PointsKey	v_GetNodalPointsKey () const

virtual LibUtilities::ShapeType	v_DetShapeType () const =0

virtual int	v_GetShapeDimension () const =0

virtual bool	v_IsCollocatedBasis () const =0

virtual bool	v_IsBoundaryInteriorExpansion () const

virtual bool	v_IsNodalNonTensorialExp ()

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

virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)=0

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)=0
	Calculates the inner product of a given function f with the different modes of the expansion.

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

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

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

virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2, Array< OneD, NekDouble > &out_d3)
	Calculate the derivative of the physical points.

virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0)
	Calculate the derivative of the physical points in a given direction.

virtual void	v_PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
	Physical derivative along a direction vector.

virtual void	v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2, Array< OneD, NekDouble > &out_d3)

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

virtual NekDouble	v_PhysEvalFirstDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)

virtual NekDouble	v_PhysEvalFirstSecondDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)

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

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_PhysInterp (std::shared_ptr< StdExpansion > FromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData, bool Transpose)

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

virtual DNekMatSharedPtr	v_GenMatrix (const StdMatrixKey &mkey)

virtual DNekMatSharedPtr	v_CreateStdMatrix (const StdMatrixKey &mkey)

virtual void	v_GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)

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

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

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

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

virtual void	v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual DNekMatSharedPtr	v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

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

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

Protected Attributes
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_indexMapManager

std::map< int, ExpansionWeakPtr >	m_traceExp

SpatialDomains::Geometry *	m_geom

SpatialDomains::GeomFactorsUniquePtr	m_geomFactors

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_geomFactors times the standard element length (which is 2.0)

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

int	m_elmt_id

int	m_ncoeffs

std::vector< Array< OneD, const NekDouble > >	m_weights

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

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

LibUtilities::NekManager< StdFacKey, Array< OneD, const NekDouble > >	m_stdFacManager

Detailed Description

Definition at line 71 of file Expansion.h.

Constructor & Destructor Documentation

◆ Expansion() [1/2]

Nektar::LocalRegions::Expansion::Expansion ( SpatialDomains::Geometry * pGeom )

Definition at line 43 of file Expansion.cpp.

    : m_indexMapManager(
          std::bind(&Expansion::CreateIndexMap, this, std::placeholders::_1),
          std::string("ExpansionIndexMap")),
      m_geom(pGeom), m_elementTraceLeft(-1), m_elementTraceRight(-1)
{
    GenGeomFactors();
 
    if (!m_geomFactors)
    {
        return;
    }
 
    if (!m_geomFactors->IsValid())
    {
        int nDim    = m_base.size();
        string type = "regular";
        if (m_geomFactors->GetGtype() == SpatialDomains::eDeformed)
        {
            type = "deformed";
        }
 
        stringstream err;
        err << nDim << "D " << type << " Jacobian not positive "
            << "(element ID = " << m_geom->GetGlobalID() << ") "
            << "(first vertex ID = " << m_geom->GetVid(0) << ")";
        NEKERROR(ErrorUtil::ewarning, err.str());
    }
 
    m_traceExp.clear();
}

References Nektar::SpatialDomains::eDeformed, Nektar::ErrorUtil::ewarning, GenGeomFactors(), Nektar::SpatialDomains::Geometry::GetGlobalID(), Nektar::SpatialDomains::Geometry::GetVid(), Nektar::StdRegions::StdExpansion::m_base, m_geom, m_geomFactors, m_traceExp, and NEKERROR.

◆ Expansion() [2/2]

Nektar::LocalRegions::Expansion::Expansion ( const Expansion & pSrc )

Definition at line 75 of file Expansion.cpp.

    : StdExpansion(pSrc), m_indexMapManager(pSrc.m_indexMapManager),
      m_geom(pSrc.m_geom)
{
    m_geomFactors =
        ObjPoolManager<SpatialDomains::GeomFactors>::AllocateUniquePtr(
            *(pSrc.m_geomFactors));
}

References Nektar::ObjPoolManager< DataType >::AllocateUniquePtr(), and m_geomFactors.

◆ ~Expansion()

Nektar::LocalRegions::Expansion::~Expansion ( )

override

Definition at line 84 of file Expansion.cpp.

85{

86}

Member Function Documentation

◆ AddEdgeNormBoundaryInt() [1/2]

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

Definition at line 126 of file Expansion.cpp.

{
    v_AddEdgeNormBoundaryInt(edge, EdgeExp, Fn, outarray);
}

References v_AddEdgeNormBoundaryInt().

◆ AddEdgeNormBoundaryInt() [2/2]

void Nektar::LocalRegions::Expansion::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
	)

Definition at line 118 of file Expansion.cpp.

{
    v_AddEdgeNormBoundaryInt(edge, EdgeExp, Fx, Fy, outarray);
}

References v_AddEdgeNormBoundaryInt().

Referenced by Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt().

◆ AddFaceNormBoundaryInt()

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

Definition at line 133 of file Expansion.cpp.

{
    v_AddFaceNormBoundaryInt(face, FaceExp, Fn, outarray);
}

References v_AddFaceNormBoundaryInt().

◆ AddRobinMassMatrix()

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

inline

Definition at line 268 of file Expansion.h.

    {
        v_AddRobinMassMatrix(traceid, primCoeffs, inoutmat);
    }

References v_AddRobinMassMatrix().

◆ AddRobinTraceContribution()

void Nektar::LocalRegions::Expansion::AddRobinTraceContribution	(	const int	traceid,
		const Array< OneD, const NekDouble > &	primCoeffs,
		const Array< OneD, NekDouble > &	incoeffs,
		Array< OneD, NekDouble > &	coeffs
	)

inline

Definition at line 280 of file Expansion.h.

    {
        v_AddRobinTraceContribution(traceid, primCoeffs, incoeffs, coeffs);
    }

References v_AddRobinTraceContribution().

◆ AlignVectorToCollapsedDir()

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

inline

Definition at line 164 of file Expansion.h.

    {
        v_AlignVectorToCollapsedDir(dir, inarray, outarray);
    }

References v_AlignVectorToCollapsedDir().

◆ BuildTransformationMatrix()

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

Definition at line 99 of file Expansion.cpp.

{
    return v_BuildTransformationMatrix(r_bnd, matrixType);
}

References v_BuildTransformationMatrix().

Referenced by Nektar::LocalRegions::Expansion3D::CreateMatrix().

◆ BuildVertexMatrix()

DNekMatSharedPtr Nektar::LocalRegions::Expansion::BuildVertexMatrix ( const DNekScalMatSharedPtr & r_bnd )

Definition at line 105 of file Expansion.cpp.

{
    return v_BuildVertexMatrix(r_bnd);
}

References v_BuildVertexMatrix().

Referenced by Nektar::LocalRegions::Expansion2D::CreateMatrix(), and Nektar::LocalRegions::Expansion3D::CreateMatrix().

◆ ComputeGmatcdotMF()

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

protected

Definition at line 783 of file Expansion.cpp.

{
    int shapedim = dfdir.size();
    int coordim  = GetCoordim();
    int nqtot    = direction.size() / coordim;
 
    for (int j = 0; j < shapedim; j++)
    {
        dfdir[j] = Array<OneD, NekDouble>(nqtot, 0.0);
        for (int k = 0; k < coordim; k++)
        {
            if (m_geomFactors->GetGtype() == SpatialDomains::eDeformed)
            {
                Vmath::Vvtvp(nqtot, &df[shapedim * k + j][0], 1,
                             &direction[k * nqtot], 1, &dfdir[j][0], 1,
                             &dfdir[j][0], 1);
            }
            else
            {
                Vmath::Svtvp(nqtot, df[shapedim * k + j][0],
                             &direction[k * nqtot], 1, &dfdir[j][0], 1,
                             &dfdir[j][0], 1);
            }
        }
    }
}

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetCoordim(), m_geomFactors, Vmath::Svtvp(), and Vmath::Vvtvp().

Referenced by Nektar::LocalRegions::Expansion2D::CreateMatrix(), Nektar::LocalRegions::HexExp::v_IProductWRTDirectionalDerivBase(), Nektar::LocalRegions::TriExp::v_IProductWRTDirectionalDerivBase(), and Nektar::LocalRegions::Expansion3D::v_PhysDirectionalDeriv().

◆ ComputeLaplacianMetric()

void Nektar::LocalRegions::Expansion::ComputeLaplacianMetric ( )

protected

Definition at line 542 of file Expansion.cpp.

{
    v_ComputeLaplacianMetric();
}

References v_ComputeLaplacianMetric().

Referenced by Nektar::LocalRegions::HexExp::v_LaplacianMatrixOp_MatFree_Kernel(), Nektar::LocalRegions::PyrExp::v_LaplacianMatrixOp_MatFree_Kernel(), Nektar::LocalRegions::QuadExp::v_LaplacianMatrixOp_MatFree_Kernel(), Nektar::LocalRegions::TetExp::v_LaplacianMatrixOp_MatFree_Kernel(), and Nektar::LocalRegions::TriExp::v_LaplacianMatrixOp_MatFree_Kernel().

◆ ComputeQuadratureMetric()

void Nektar::LocalRegions::Expansion::ComputeQuadratureMetric ( )

protected

Definition at line 547 of file Expansion.cpp.

{
    unsigned int nqtot            = GetTotPoints();
    SpatialDomains::GeomType type = m_geomFactors->GetGtype();
    if (type == SpatialDomains::eRegular ||
        type == SpatialDomains::eMovingRegular)
    {
        m_metrics[eMetricQuadrature] =
            Array<OneD, NekDouble>(nqtot, m_geomFactors->GetJac()[0]);
    }
    else
    {
        m_metrics[eMetricQuadrature] = m_geomFactors->GetJac();
    }
 
    v_MultiplyByStdQuadratureMetric(m_metrics[eMetricQuadrature],
                                    m_metrics[eMetricQuadrature]);
}

References Nektar::LocalRegions::eMetricQuadrature, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_geomFactors, m_metrics, and Nektar::StdRegions::StdExpansion::v_MultiplyByStdQuadratureMetric().

Referenced by v_DivideByQuadratureMetric(), and v_MultiplyByQuadratureMetric().

◆ ComputeTraceNormal()

void Nektar::LocalRegions::Expansion::ComputeTraceNormal ( const int id )

inline

Definition at line 248 of file Expansion.h.

    {
        v_ComputeTraceNormal(id);
    }

References v_ComputeTraceNormal().

◆ CreateIndexMap()

IndexMapValuesSharedPtr Nektar::LocalRegions::Expansion::CreateIndexMap ( const IndexMapKey & ikey )

Definition at line 185 of file Expansion.cpp.

{
    IndexMapValuesSharedPtr returnval;
 
    IndexMapType itype = ikey.GetIndexMapType();
 
    int entity = ikey.GetIndexEntity();
 
    StdRegions::Orientation orient = ikey.GetIndexOrientation();
 
    Array<OneD, unsigned int> map;
    Array<OneD, int> sign;
 
    switch (itype)
    {
        case eEdgeToElement:
        {
            GetTraceToElementMap(entity, map, sign, orient);
        }
        break;
        case eFaceToElement:
        {
            GetTraceToElementMap(entity, map, sign, orient);
        }
        break;
        case eEdgeInterior:
        {
            ASSERTL0(false, "Boundary Index Map not implemented yet.");
            // v_GetEdgeInteriorMap(entity,orient,map,sign);
        }
        break;
        case eFaceInterior:
        {
            ASSERTL0(false, "Boundary Index Map not implemented yet.");
            // v_GetFaceInteriorMap(entity,orient,map,sign);
        }
        break;
        case eBoundary:
        {
            ASSERTL0(false, "Boundary Index Map not implemented yet.");
        }
        break;
        case eVertex:
        {
            ASSERTL0(false, "Vertex Index Map not implemented yet.");
        }
        break;
        default:
        {
            ASSERTL0(false, "The Index Map you are requiring "
                            "is not between the possible options.");
        }
    }
 
    returnval = MemoryManager<IndexMapValues>::AllocateSharedPtr(map.size());
 
    for (int i = 0; i < map.size(); i++)
    {
        (*returnval)[i].index = map[i];
        (*returnval)[i].sign  = sign[i];
    }
 
    return returnval;
}

◆ CreateStaticCondMatrix()

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

Definition at line 297 of file Expansion.cpp.

{
    DNekScalBlkMatSharedPtr returnval;
 
    ASSERTL2(m_geomFactors->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);
    // Really need a constructor which takes Arrays
    NekDouble factor = 1.0;
 
    switch (mkey.GetMatrixType())
    {
        // this can only use stdregions statically condensed system
        // for mass matrix
        case StdRegions::eMass:
            if ((m_geomFactors->GetGtype() == SpatialDomains::eDeformed) ||
                (mkey.GetNVarCoeff()))
            {
                factor = 1.0;
                goto UseLocRegionsMatrix;
            }
            else
            {
                factor = (m_geomFactors->GetJac())[0];
                goto UseStdRegionsMatrix;
            }
            break;
        default: // use Deformed case for both
                 // regular and deformed geometries
            factor = 1.0;
            goto UseLocRegionsMatrix;
            break;
        UseStdRegionsMatrix:
        {
            NekDouble invfactor     = 1.0 / factor;
            NekDouble one           = 1.0;
            DNekBlkMatSharedPtr mat = GetStdStaticCondMatrix(mkey);
            DNekScalMatSharedPtr Atmp;
            DNekMatSharedPtr Asubmat;
 
            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);
            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));
 
            // Remove the local matrix from manager if using this option
            // since we assume it is only created to generate static
            // condensed system
            v_DropLocMatrix(mkey);
        }
    }
    return returnval;
}

◆ DGDeriv()

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

Definition at line 140 of file Expansion.cpp.

{
    v_DGDeriv(dir, inarray, EdgeExp, coeffs, outarray);
}

References v_DGDeriv().

◆ DivideByQuadratureMetric()

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

inline

Divided by the metric jacobi and quadrature weights.

Definition at line 194 of file Expansion.h.

    {
        v_DivideByQuadratureMetric(inarray, outarray);
    }

References v_DivideByQuadratureMetric().

◆ DropLocMatrix()

void Nektar::LocalRegions::Expansion::DropLocMatrix ( const LocalRegions::MatrixKey & mkey )

Definition at line 94 of file Expansion.cpp.

{
    return v_DropLocMatrix(mkey);
}

References v_DropLocMatrix().

Referenced by Nektar::LocalRegions::Expansion2D::CreateMatrix(), Nektar::LocalRegions::Expansion3D::CreateMatrix(), and Nektar::LocalRegions::SegExp::CreateMatrix().

◆ ExtractDataToCoeffs()

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

Definition at line 110 of file Expansion.cpp.

{
    v_ExtractDataToCoeffs(data, nummodes, nmodes_offset, coeffs, fromType);
}

References v_ExtractDataToCoeffs().

Referenced by Nektar::LocalRegions::NodalPrismExp::v_ExtractDataToCoeffs(), Nektar::LocalRegions::NodalTetExp::v_ExtractDataToCoeffs(), and Nektar::LocalRegions::NodalTriExp::v_ExtractDataToCoeffs().

◆ GenGeomFactors()

void Nektar::LocalRegions::Expansion::GenGeomFactors ( )

inline

Handles generation of geometry factors.

Generate the geometric factors (i.e. derivatives of \(\chi\)) and related metrics.

See also: SpatialDomains::GeomFactors

Definition at line 482 of file Expansion.h.

{
    LibUtilities::PointsKeyVector keyTgt = GetPointsKeys();
    m_geomFactors                        = m_geom->GenGeomFactors(keyTgt);
}

References Nektar::SpatialDomains::Geometry::GenGeomFactors(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), m_geom, and m_geomFactors.

Referenced by Expansion(), and Reset().

◆ GetElmtBndNormDirElmtLen()

const Array< OneD, const NekDouble > & Nektar::LocalRegions::Expansion::GetElmtBndNormDirElmtLen ( const int nbnd ) const

Definition at line 1107 of file Expansion.cpp.

{
    auto x = m_elmtBndNormDirElmtLen.find(nbnd);
    ASSERTL0(x != m_elmtBndNormDirElmtLen.end(),
             "m_elmtBndNormDirElmtLen normal not computed.");
    return x->second;
}

References ASSERTL0, and m_elmtBndNormDirElmtLen.

◆ GetGeom()

SpatialDomains::Geometry * Nektar::LocalRegions::Expansion::GetGeom ( ) const

Definition at line 171 of file Expansion.cpp.

{
    return m_geom;
}

References m_geom.

◆ GetGeomFactors()

SpatialDomains::GeomFactors * Nektar::LocalRegions::Expansion::GetGeomFactors ( ) const

inline

Get the geometric factors for this object, generating them if required.

Definition at line 471 of file Expansion.h.

{
    return m_geomFactors.get();
}

References m_geomFactors.

Referenced by Nektar::FieldUtils::ProcessJacobianEnergy::v_Process(), and Nektar::FieldUtils::ProcessScalGrad::v_Process().

◆ GetIndexMap()

IndexMapValuesSharedPtr Nektar::LocalRegions::Expansion::GetIndexMap ( const IndexMapKey & ikey )

inline

Definition at line 159 of file Expansion.h.

    {
        return m_indexMapManager[ikey];
    }

References m_indexMapManager.

Referenced by Nektar::LocalRegions::Expansion3D::AddFaceBoundaryInt(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion3D::SetFaceToGeomOrientation(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion3D::v_AddFaceNormBoundaryInt(), Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ GetLeftAdjacentElementExp()

ExpansionSharedPtr Nektar::LocalRegions::Expansion::GetLeftAdjacentElementExp ( ) const

inline

Definition at line 531 of file Expansion.h.

{
    ASSERTL1(m_elementLeft.lock().get(), "Left adjacent element not set.");
    return m_elementLeft.lock();
}

References ASSERTL1, and m_elementLeft.

Referenced by Nektar::LocalRegions::PointExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::QuadExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::TriExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::Expansion1D::v_VectorFlux(), and Nektar::LocalRegions::Expansion2D::v_VectorFlux().

◆ GetLeftAdjacentElementTrace()

int Nektar::LocalRegions::Expansion::GetLeftAdjacentElementTrace ( ) const

inline

Definition at line 544 of file Expansion.h.

{
    return m_elementTraceLeft;
}

References m_elementTraceLeft.

Referenced by Nektar::LocalRegions::PointExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::QuadExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::TriExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::Expansion1D::v_VectorFlux(), and Nektar::LocalRegions::Expansion2D::v_VectorFlux().

◆ GetLinStdExp()

StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::Expansion::GetLinStdExp ( void ) const

inline

Definition at line 90 of file Expansion.h.

    {
        return v_GetLinStdExp();
    }

References v_GetLinStdExp().

Referenced by Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix().

◆ GetLocMatrix() [1/2]

DNekScalMatSharedPtr Nektar::LocalRegions::Expansion::GetLocMatrix ( const LocalRegions::MatrixKey & mkey )

Definition at line 88 of file Expansion.cpp.

{
    return v_GetLocMatrix(mkey);
}

References v_GetLocMatrix().

◆ GetLocMatrix() [2/2]

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

Definition at line 162 of file Expansion.cpp.

{
    MatrixKey mkey(mtype, DetShapeType(), *this, factors, varcoeffs);
    return GetLocMatrix(mkey);
}

References Nektar::StdRegions::StdExpansion::DetShapeType(), and GetLocMatrix().

◆ GetLocTraceExp()

ExpansionSharedPtr Nektar::LocalRegions::Expansion::GetLocTraceExp ( const int traceid )

inline

Definition at line 512 of file Expansion.h.

{
    ASSERTL1(traceid < GetNtraces(), "Trace is out of range.");
 
    ExpansionSharedPtr returnval;
 
    // Generate local trace exp
    v_GenTraceExp(traceid, returnval);
 
    return returnval;
}

References ASSERTL1, Nektar::StdRegions::StdExpansion::GetNtraces(), and v_GenTraceExp().

◆ GetLocTracePhysVals()

void Nektar::LocalRegions::Expansion::GetLocTracePhysVals	(	const int	trace,
		const StdRegions::StdExpansionSharedPtr &	TraceExp,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

inline

Definition at line 222 of file Expansion.h.

    {
        v_GetLocTracePhysVals(trace, TraceExp, inarray.data(), outarray);
    }

References v_GetLocTracePhysVals().

Referenced by Nektar::LocalRegions::Expansion2D::v_GenMatrix().

◆ GetMF()

Array< OneD, NekDouble > Nektar::LocalRegions::Expansion::GetMF	(	const int	dir,
		const int	shapedim,
		const StdRegions::VarCoeffMap &	varcoeffs
	)

protected

Definition at line 813 of file Expansion.cpp.

{
    int coordim = GetCoordim();
 
    int nquad0, nquad1, nquad2;
    int nqtot = 1;
    switch (shapedim)
    {
        case 2:
        {
            nquad0 = m_base[0]->GetNumPoints();
            nquad1 = m_base[1]->GetNumPoints();
            nqtot  = nquad0 * nquad1;
            break;
        }
        case 3:
        {
            nquad0 = m_base[0]->GetNumPoints();
            nquad1 = m_base[1]->GetNumPoints();
            nquad2 = m_base[2]->GetNumPoints();
            nqtot  = nquad0 * nquad1 * nquad2;
            break;
        }
        default:
            break;
    }
 
    StdRegions::VarCoeffType MMFCoeffs[15] = {
        StdRegions::eVarCoeffMF1x,   StdRegions::eVarCoeffMF1y,
        StdRegions::eVarCoeffMF1z,   StdRegions::eVarCoeffMF1Div,
        StdRegions::eVarCoeffMF1Mag, StdRegions::eVarCoeffMF2x,
        StdRegions::eVarCoeffMF2y,   StdRegions::eVarCoeffMF2z,
        StdRegions::eVarCoeffMF2Div, StdRegions::eVarCoeffMF2Mag,
        StdRegions::eVarCoeffMF3x,   StdRegions::eVarCoeffMF3y,
        StdRegions::eVarCoeffMF3z,   StdRegions::eVarCoeffMF3Div,
        StdRegions::eVarCoeffMF3Mag};
 
    Array<OneD, NekDouble> MF(coordim * nqtot);
    Array<OneD, NekDouble> tmp(nqtot);
    for (int k = 0; k < coordim; k++)
    {
        StdRegions::VarCoeffMap::const_iterator MFdir =
            varcoeffs.find(MMFCoeffs[5 * dir + k]);
        tmp = MFdir->second.GetValue();
 
        Vmath::Vcopy(nqtot, &tmp[0], 1, &MF[k * nqtot], 1);
    }
 
    return MF;
}

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ GetMFDiv()

Array< OneD, NekDouble > Nektar::LocalRegions::Expansion::GetMFDiv	(	const int	dir,
		const StdRegions::VarCoeffMap &	varcoeffs
	)

protected

Definition at line 866 of file Expansion.cpp.

{
    int indxDiv = 3;
 
    StdRegions::VarCoeffType MMFCoeffs[15] = {
        StdRegions::eVarCoeffMF1x,   StdRegions::eVarCoeffMF1y,
        StdRegions::eVarCoeffMF1z,   StdRegions::eVarCoeffMF1Div,
        StdRegions::eVarCoeffMF1Mag, StdRegions::eVarCoeffMF2x,
        StdRegions::eVarCoeffMF2y,   StdRegions::eVarCoeffMF2z,
        StdRegions::eVarCoeffMF2Div, StdRegions::eVarCoeffMF2Mag,
        StdRegions::eVarCoeffMF3x,   StdRegions::eVarCoeffMF3y,
        StdRegions::eVarCoeffMF3z,   StdRegions::eVarCoeffMF3Div,
        StdRegions::eVarCoeffMF3Mag};
 
    StdRegions::VarCoeffMap::const_iterator MFdir =
        varcoeffs.find(MMFCoeffs[5 * dir + indxDiv]);
    Array<OneD, NekDouble> MFDiv = MFdir->second.GetValue();
 
    return MFDiv;
}

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ GetMFMag()

Array< OneD, NekDouble > Nektar::LocalRegions::Expansion::GetMFMag	(	const int	dir,
		const StdRegions::VarCoeffMap &	varcoeffs
	)

protected

Definition at line 889 of file Expansion.cpp.

{
    int indxMag = 4;
 
    StdRegions::VarCoeffType MMFCoeffs[15] = {
        StdRegions::eVarCoeffMF1x,   StdRegions::eVarCoeffMF1y,
        StdRegions::eVarCoeffMF1z,   StdRegions::eVarCoeffMF1Div,
        StdRegions::eVarCoeffMF1Mag, StdRegions::eVarCoeffMF2x,
        StdRegions::eVarCoeffMF2y,   StdRegions::eVarCoeffMF2z,
        StdRegions::eVarCoeffMF2Div, StdRegions::eVarCoeffMF2Mag,
        StdRegions::eVarCoeffMF3x,   StdRegions::eVarCoeffMF3y,
        StdRegions::eVarCoeffMF3z,   StdRegions::eVarCoeffMF3Div,
        StdRegions::eVarCoeffMF3Mag};
 
    StdRegions::VarCoeffMap::const_iterator MFdir =
        varcoeffs.find(MMFCoeffs[5 * dir + indxMag]);
    Array<OneD, NekDouble> MFmag = MFdir->second.GetValue();
 
    return MFmag;
}

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ GetPhysNormals()

const Array< OneD, const NekDouble > & Nektar::LocalRegions::Expansion::GetPhysNormals ( void )

inline

Definition at line 253 of file Expansion.h.

    {
        return v_GetPhysNormals();
    }

References v_GetPhysNormals().

◆ GetRightAdjacentElementExp()

ExpansionSharedPtr Nektar::LocalRegions::Expansion::GetRightAdjacentElementExp ( ) const

inline

Definition at line 537 of file Expansion.h.

{
    ASSERTL1(m_elementLeft.lock().get(), "Right adjacent element not set.");
 
    return m_elementRight.lock();
}

References ASSERTL1, m_elementLeft, and m_elementRight.

◆ GetRightAdjacentElementTrace()

int Nektar::LocalRegions::Expansion::GetRightAdjacentElementTrace ( ) const

inline

Definition at line 549 of file Expansion.h.

{
    return m_elementTraceRight;
}

References m_elementTraceRight.

◆ GetStdExp()

StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::Expansion::GetStdExp ( ) const

inline

Definition at line 85 of file Expansion.h.

    {
        return v_GetStdExp();
    }

References v_GetStdExp().

◆ GetTraceExp()

ExpansionSharedPtr Nektar::LocalRegions::Expansion::GetTraceExp ( const int traceid )

inline

Definition at line 491 of file Expansion.h.

{
    ASSERTL1(traceid < GetNtraces(), "Trace is out of range.");
 
    ExpansionSharedPtr returnval;
 
    if (m_traceExp.count(traceid))
    {
        // Use stored value
        returnval = m_traceExp[traceid].lock();
    }
    else
    {
        // Generate trace exp
        v_GenTraceExp(traceid, returnval);
    }
 
    return returnval;
}

References ASSERTL1, Nektar::StdRegions::StdExpansion::GetNtraces(), m_traceExp, and v_GenTraceExp().

Referenced by Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ GetTraceNormal()

const NormalVector & Nektar::LocalRegions::Expansion::GetTraceNormal ( const int id )

Definition at line 250 of file Expansion.cpp.

{
    std::map<int, NormalVector>::const_iterator x;
    x = m_traceNormals.find(id);
 
    // if edge normal not defined compute it
    if (x == m_traceNormals.end())
    {
        v_ComputeTraceNormal(id);
        x = m_traceNormals.find(id);
    }
    return x->second;
}

References m_traceNormals, and v_ComputeTraceNormal().

◆ GetTraceNormals()

const std::map< int, NormalVector > & Nektar::LocalRegions::Expansion::GetTraceNormals ( void )

Definition at line 264 of file Expansion.cpp.

{
    if (m_traceNormals.size() != GetNtraces())
    {
        for (unsigned i = 0; i < GetNtraces(); ++i)
        {
            v_ComputeTraceNormal(i);
        }
    }
    return m_traceNormals;
}

References Nektar::StdRegions::StdExpansion::GetNtraces(), m_traceNormals, and v_ComputeTraceNormal().

Referenced by Nektar::LocalRegions::Expansion3D::v_NormalTraceDerivFactors(), and Nektar::LocalRegions::Expansion2D::v_NormalTraceDerivFactors().

◆ GetTraceOrient()

StdRegions::Orientation Nektar::LocalRegions::Expansion::GetTraceOrient ( int trace )

inline

Definition at line 181 of file Expansion.h.

    {
        return v_GetTraceOrient(trace);
    }

References v_GetTraceOrient().

◆ GetTracePhysMap()

void Nektar::LocalRegions::Expansion::GetTracePhysMap	(	const int	edge,
		Array< OneD, int > &	outarray
	)

inline

Definition at line 230 of file Expansion.h.

    {
        v_GetTracePhysMap(edge, outarray);
    }

References v_GetTracePhysMap().

Referenced by PhysBaseOnTraceMat(), PhysDerivBaseOnTraceMat(), and Nektar::LocalRegions::Expansion3D::v_GetLocTracePhysVals().

◆ GetTracePhysVals()

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

inline

Definition at line 213 of file Expansion.h.

    {
        v_GetTracePhysVals(trace, TraceExp, inarray, outarray, orient);
    }

References v_GetTracePhysVals().

Referenced by StdDerivBaseOnTraceMat().

◆ GetTraceQFactors()

void Nektar::LocalRegions::Expansion::GetTraceQFactors	(	const int	trace,
		Array< OneD, NekDouble > &	outarray
	)

inline

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).

Definition at line 207 of file Expansion.h.

    {
        v_GetTraceQFactors(trace, outarray);
    }

References v_GetTraceQFactors().

◆ NormalTraceDerivFactors()

void Nektar::LocalRegions::Expansion::NormalTraceDerivFactors	(	Array< OneD, Array< OneD, NekDouble > > &	factors,
		Array< OneD, Array< OneD, NekDouble > > &	d0factors,
		Array< OneD, Array< OneD, NekDouble > > &	d1factors
	)

Definition at line 154 of file Expansion.cpp.

{
    return v_NormalTraceDerivFactors(factors, d0factors, d1factors);
}

References v_NormalTraceDerivFactors().

◆ PhysBaseOnTraceMat()

void Nektar::LocalRegions::Expansion::PhysBaseOnTraceMat	(	const int	traceid,
		DNekMatSharedPtr &	BdataMat
	)

Definition at line 681 of file Expansion.cpp.

{
    int nquad = GetTotPoints();
 
    Array<OneD, NekDouble> coeffs(m_ncoeffs);
    Array<OneD, NekDouble> phys(nquad);
 
    Array<OneD, int> tracePhysIds;
    GetTracePhysMap(traceid, tracePhysIds);
 
    int nTracePts = GetTraceNumPoints(traceid);
 
    BdataMat =
        MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs, nTracePts, 0.0);
 
    for (int i = 0; i < m_ncoeffs; ++i)
    {
        Vmath::Zero(m_ncoeffs, coeffs, 1);
        coeffs[i] = 1.0;
        BwdTrans(coeffs, phys);
 
        for (int k = 0; k < nTracePts; ++k)
        {
            (*BdataMat)(i, k) = phys[tracePhysIds[k]];
        }
    }
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::GetTraceNumPoints(), GetTracePhysMap(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Zero().

◆ PhysDerivBaseOnTraceMat()

void Nektar::LocalRegions::Expansion::PhysDerivBaseOnTraceMat	(	const int	traceid,
		Array< OneD, DNekMatSharedPtr > &	DerivMat
	)

Definition at line 637 of file Expansion.cpp.

{
    int nquad = GetTotPoints();
    int ndir  = m_base.size();
 
    Array<OneD, NekDouble> coeffs(m_ncoeffs);
    Array<OneD, NekDouble> phys(nquad);
 
    Array<OneD, int> tracePhysIds;
    GetTracePhysMap(traceid, tracePhysIds);
 
    int nTracePts = GetTraceNumPoints(traceid);
 
    // initialise array to null so can call for
    // differnt dimensions
    Array<OneD, Array<OneD, NekDouble>> Deriv(3, NullNekDouble1DArray);
    DerivMat = Array<OneD, DNekMatSharedPtr>(ndir);
    for (int d = 0; d < ndir; ++d)
    {
        Deriv[d]    = Array<OneD, NekDouble>(nquad);
        DerivMat[d] = MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs,
                                                                nTracePts, 0.0);
    }
 
    for (int i = 0; i < m_ncoeffs; ++i)
    {
        Vmath::Zero(m_ncoeffs, coeffs, 1);
        coeffs[i] = 1.0;
        BwdTrans(coeffs, phys);
 
        // dphi_i/d\xi_1,  dphi_i/d\xi_2  dphi_i/d\xi_3
        PhysDeriv(phys, Deriv[0], Deriv[1], Deriv[2]);
 
        for (int k = 0; k < nTracePts; ++k)
        {
            for (int d = 0; d < ndir; ++d)
            {
                (*DerivMat[d])(i, k) = Deriv[d][tracePhysIds[k]];
            }
        }
    }
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::GetTraceNumPoints(), GetTracePhysMap(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::NullNekDouble1DArray, Nektar::StdRegions::StdExpansion::PhysDeriv(), and Vmath::Zero().

◆ ReOrientTracePhysVals()

void Nektar::LocalRegions::Expansion::ReOrientTracePhysVals	(	const StdRegions::Orientation	orient,
		const Array< OneD, const NekDouble > &	in,
		Array< OneD, NekDouble > &	out,
		const int	nq0,
		const int	nq1,
		bool	Forwards = `true`
	)

inline

Definition at line 235 of file Expansion.h.

    {
        v_ReOrientTracePhysVals(orient, in, out, nq0, nq1, Forwards);
    }

References v_ReOrientTracePhysVals().

◆ Reset()

void Nektar::LocalRegions::Expansion::Reset ( )

Definition at line 176 of file Expansion.cpp.

{
    // Clear metrics
    m_metrics.clear();
 
    // Regenerate geometry factors
    GenGeomFactors();
}

References GenGeomFactors(), and m_metrics.

Referenced by export_Expansion().

◆ SetAdjacentElementExp()

void Nektar::LocalRegions::Expansion::SetAdjacentElementExp	(	int	traceid,
		ExpansionSharedPtr &	e
	)

inline

Definition at line 554 of file Expansion.h.

{
    if (m_elementLeft.lock().get())
    {
        m_elementRight      = exp;
        m_elementTraceRight = traceid;
    }
    else
    {
        m_elementLeft      = exp;
        m_elementTraceLeft = traceid;
    }
}

References m_elementLeft, m_elementRight, m_elementTraceLeft, and m_elementTraceRight.

◆ SetCoeffsToOrientation()

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

inline

Definition at line 186 of file Expansion.h.

    {
        v_SetCoeffsToOrientation(dir, inarray, outarray);
    }

References v_SetCoeffsToOrientation().

◆ SetPhysNormals()

void Nektar::LocalRegions::Expansion::SetPhysNormals ( Array< OneD, const NekDouble > & normal )

inline

Definition at line 258 of file Expansion.h.

    {
        v_SetPhysNormals(normal);
    }

References v_SetPhysNormals().

◆ SetTraceExp()

void Nektar::LocalRegions::Expansion::SetTraceExp	(	const int	traceid,
		ExpansionSharedPtr &	f
	)

inline

Definition at line 524 of file Expansion.h.

{
    ASSERTL1(traceid < GetNtraces(), "Trace out of range.");
 
    m_traceExp[traceid] = exp;
}

References ASSERTL1, Nektar::StdRegions::StdExpansion::GetNtraces(), and m_traceExp.

◆ SetUpPhysNormals()

void Nektar::LocalRegions::Expansion::SetUpPhysNormals ( const int trace )

inline

Definition at line 263 of file Expansion.h.

    {
        v_SetUpPhysNormals(trace);
    }

References v_SetUpPhysNormals().

◆ StdDerivBaseOnTraceMat()

void Nektar::LocalRegions::Expansion::StdDerivBaseOnTraceMat ( Array< OneD, DNekMatSharedPtr > & DerivMat )

Definition at line 566 of file Expansion.cpp.

{
    int nquad   = GetTotPoints();
    int ntraces = GetNtraces();
    int ndir    = m_base.size();
 
    Array<OneD, NekDouble> coeffs(m_ncoeffs);
    Array<OneD, NekDouble> phys(nquad);
 
    int tottracepts = 0;
    int maxtracepts = 0;
    Array<OneD, ExpansionSharedPtr> traceExp(ntraces);
    for (int i = 0; i < ntraces; ++i)
    {
        // Note we are using GenTraceExp to ensure we have local trace
        // expansion not ont from shared trace which can happe if we use
        // GetTraceExp since it can be set in DisContField::SetupDG
        v_GenTraceExp(i, traceExp[i]);
        int ntpts   = traceExp[i]->GetTotPoints();
        maxtracepts = max(maxtracepts, ntpts);
        tottracepts += ntpts;
    }
 
    // initialise array to null so can call for
    // differnt dimensions
    Array<OneD, Array<OneD, NekDouble>> Deriv(3, NullNekDouble1DArray);
    Array<OneD, NekDouble> traceDeriv(maxtracepts);
 
    DerivMat = Array<OneD, DNekMatSharedPtr>(ndir);
    for (int i = 0; i < ndir; ++i)
    {
        Deriv[i] = Array<OneD, NekDouble>(nquad);
        DerivMat[i] =
            MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs, tottracepts);
    }
 
    for (int i = 0; i < m_ncoeffs; ++i)
    {
        Vmath::Zero(m_ncoeffs, coeffs, 1);
        coeffs[i] = 1.0;
        BwdTrans(coeffs, phys);
 
        // dphi_i/d\xi_1,  dphi_i/d\xi_2  dphi_i/d\xi_3
        StdPhysDeriv(phys, Deriv[0], Deriv[1], Deriv[2]);
 
        int cnt = 0;
        for (int j = 0; j < ntraces; ++j)
        {
            LibUtilities::BasisKey traceKey0 = GetTraceBasisKey(j, 0);
            LibUtilities::BasisKey traceKey1 = GetTraceBasisKey(j, 1);
 
            int nTracePts = traceExp[j]->GetTotPoints();
 
            for (int d = 0; d < ndir; ++d)
            {
                // specifying eForwards since Std Operation always Fwd
                GetTracePhysVals(j, traceExp[j], Deriv[d], traceDeriv,
                                 StdRegions::eDir1FwdDir1_Dir2FwdDir2);
 
                // fill matrix
                for (int k = 0; k < nTracePts; ++k)
                {
                    (*DerivMat[d])(i, cnt + k) = traceDeriv[k];
                }
            }
 
            cnt += nTracePts;
        }
    }
}

◆ TraceNormLen()

void Nektar::LocalRegions::Expansion::TraceNormLen	(	const int	traceid,
		NekDouble &	h,
		NekDouble &	p
	)

inline

Definition at line 275 of file Expansion.h.

    {
        v_TraceNormLen(traceid, h, p);
    }

References v_TraceNormLen().

Referenced by Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

◆ v_AddEdgeNormBoundaryInt() [1/2]

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

protectedvirtual

Definition at line 946 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

◆ v_AddEdgeNormBoundaryInt() [2/2]

void Nektar::LocalRegions::Expansion::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
	)

protectedvirtual

Definition at line 936 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by AddEdgeNormBoundaryInt(), and AddEdgeNormBoundaryInt().

◆ v_AddFaceNormBoundaryInt()

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

protectedvirtual

Definition at line 955 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by AddFaceNormBoundaryInt().

◆ v_AddRobinMassMatrix()

void Nektar::LocalRegions::Expansion::v_AddRobinMassMatrix	(	const int	face,
		const Array< OneD, const NekDouble > &	primCoeffs,
		DNekMatSharedPtr &	inoutmat
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, Nektar::LocalRegions::Expansion3D, and Nektar::LocalRegions::Expansion1D.

Definition at line 1083 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not valid for this class");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by AddRobinMassMatrix().

◆ v_AddRobinTraceContribution()

void Nektar::LocalRegions::Expansion::v_AddRobinTraceContribution	(	const int	traceid,
		const Array< OneD, const NekDouble > &	primCoeffs,
		const Array< OneD, NekDouble > &	incoeffs,
		Array< OneD, NekDouble > &	coeffs
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion1D.

Definition at line 1091 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not valid for this class");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by AddRobinTraceContribution().

◆ v_AlignVectorToCollapsedDir()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 1116 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "v_AlignVectorToCollapsedDir is not defined");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by AlignVectorToCollapsedDir().

◆ v_BuildTransformationMatrix()

DNekMatSharedPtr Nektar::LocalRegions::Expansion::v_BuildTransformationMatrix	(	const DNekScalMatSharedPtr &	r_bnd,
		const StdRegions::MatrixType	matrixType
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion3D.

Definition at line 911 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
    return NullDNekMatSharedPtr;
}

References Nektar::ErrorUtil::efatal, NEKERROR, and Nektar::NullDNekMatSharedPtr.

Referenced by BuildTransformationMatrix().

◆ v_BuildVertexMatrix()

DNekMatSharedPtr Nektar::LocalRegions::Expansion::v_BuildVertexMatrix ( const DNekScalMatSharedPtr & r_bnd )

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion3D.

Definition at line 919 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
    return NullDNekMatSharedPtr;
}

References Nektar::ErrorUtil::efatal, NEKERROR, and Nektar::NullDNekMatSharedPtr.

Referenced by BuildVertexMatrix().

◆ v_ComputeLaplacianMetric()

virtual void Nektar::LocalRegions::Expansion::v_ComputeLaplacianMetric ( )

inlineprotectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 352 of file Expansion.h.

353 {

354 }

Referenced by ComputeLaplacianMetric().

◆ v_ComputeTraceNormal()

void Nektar::LocalRegions::Expansion::v_ComputeTraceNormal ( const int id )

protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TriExp, Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::SegExp.

Definition at line 1061 of file Expansion.cpp.

{
    ASSERTL0(false, "Cannot compute trace normal for this expansion.");
}

References ASSERTL0.

Referenced by ComputeTraceNormal(), GetTraceNormal(), GetTraceNormals(), and Nektar::LocalRegions::Expansion2D::v_SetUpPhysNormals().

◆ v_DGDeriv()

void Nektar::LocalRegions::Expansion::v_DGDeriv	(	const int	dir,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, ExpansionSharedPtr > &	EdgeExp,
		Array< OneD, Array< OneD, NekDouble > > &	coeffs,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion3D.

Definition at line 964 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by DGDeriv().

◆ v_DivideByQuadratureMetric()

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

protectedvirtual

Definition at line 519 of file Expansion.cpp.

{
    const int nqtot = GetTotPoints();
 
    if (m_metrics.count(eMetricQuadrature) == 0)
    {
        ComputeQuadratureMetric();
    }
 
    Vmath::Vdiv(nqtot, inarray, 1, m_metrics[eMetricQuadrature], 1, outarray,
                1);
    // remove NaN or Inf values and set to zero
    for (int i = 0; i < nqtot; ++i)
    {
        if (std::isnan(outarray[i]) || std::isinf(outarray[i]))
        {
            outarray[i] = 0.0;
        }
    }
}

References ComputeQuadratureMetric(), Nektar::LocalRegions::eMetricQuadrature, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_metrics, and Vmath::Vdiv().

Referenced by DivideByQuadratureMetric().

◆ v_DropLocMatrix()

void Nektar::LocalRegions::Expansion::v_DropLocMatrix ( const LocalRegions::MatrixKey & mkey )

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 443 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by CreateStaticCondMatrix(), and DropLocMatrix().

◆ v_ExtractDataToCoeffs()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 926 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by ExtractDataToCoeffs().

◆ v_FwdTrans()

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

overrideprotectedvirtual

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.

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 462 of file Expansion.cpp.

{
    if (v_IsCollocatedBasis())
    {
        Vmath::Vcopy(GetNcoeffs(), &inarray[0], 1, &outarray[0], 1);
    }
    else
    {
        v_IProductWRTBase(inarray, outarray);
 
        // get Mass matrix inverse
        LibUtilities::PointsType nodalPointsType =
            (v_GetNodalPointsKey() == LibUtilities::NullPointsKey)
                ? LibUtilities::eNoPointsType
                : v_GetNodalPointsKey().GetPointsType();
        MatrixKey masskey(StdRegions::eInvMass, DetShapeType(), *this,
                          StdRegions::NullConstFactorMap,
                          StdRegions::NullVarCoeffMap,
                          StdRegions::NullVarFactorsMap, nodalPointsType);
        DNekScalMatSharedPtr matsys = v_GetLocMatrix(masskey);
 
        // copy inarray in case inarray == outarray
        DNekVec in(m_ncoeffs, outarray);
        DNekVec out(m_ncoeffs, outarray, eWrapper);
 
        out = (*matsys) * in;
    }
}

Referenced by Nektar::LocalRegions::SegExp::v_FwdTransBndConstrained().

◆ v_GenTraceExp()

void Nektar::LocalRegions::Expansion::v_GenTraceExp	(	const int	traceid,
		ExpansionSharedPtr &	exp
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion3D.

Definition at line 1054 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetLocTraceExp(), GetTraceExp(), and StdDerivBaseOnTraceMat().

◆ v_GetCoordim()

int Nektar::LocalRegions::Expansion::v_GetCoordim ( ) const

inlineoverrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 362 of file Expansion.h.

    {
        return m_geom->GetCoordim();
    }

References Nektar::SpatialDomains::Geometry::GetCoordim(), and m_geom.

◆ v_GetCoords()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::PointExp, Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 710 of file Expansion.cpp.

{
    ASSERTL1(m_geom, "m_geom not defined");
 
    // get physical points defined in Geom
    m_geom->FillGeom();
 
    const int expDim = m_base.size();
    int nqGeom       = 1;
    bool doCopy      = true;
 
    Array<OneD, LibUtilities::BasisSharedPtr> CBasis(expDim);
    Array<OneD, Array<OneD, NekDouble>> tmp(3);
 
    for (int i = 0; i < expDim; ++i)
    {
        CBasis[i] = m_geom->GetXmap()->GetBasis(i);
        nqGeom *= CBasis[i]->GetNumPoints();
        doCopy = doCopy &&
                 m_base[i]->GetBasisKey().SamePoints(CBasis[i]->GetBasisKey());
    }
 
    tmp[0] = coords_0;
    tmp[1] = coords_1;
    tmp[2] = coords_2;
 
    if (doCopy)
    {
        for (int i = 0; i < m_geom->GetCoordim(); ++i)
        {
            m_geom->GetXmap()->BwdTrans(m_geom->GetCoeffs(i), tmp[i]);
        }
    }
    else
    {
        for (int i = 0; i < m_geom->GetCoordim(); ++i)
        {
            Array<OneD, NekDouble> tmpGeom(nqGeom);
            m_geom->GetXmap()->BwdTrans(m_geom->GetCoeffs(i), tmpGeom);
 
            switch (expDim)
            {
                case 1:
                {
                    LibUtilities::Interp1D(
                        CBasis[0]->GetPointsKey(), &tmpGeom[0],
                        m_base[0]->GetPointsKey(), &tmp[i][0]);
                    break;
                }
                case 2:
                {
                    LibUtilities::Interp2D(
                        CBasis[0]->GetPointsKey(), CBasis[1]->GetPointsKey(),
                        &tmpGeom[0], m_base[0]->GetPointsKey(),
                        m_base[1]->GetPointsKey(), &tmp[i][0]);
                    break;
                }
                case 3:
                {
                    LibUtilities::Interp3D(
                        CBasis[0]->GetPointsKey(), CBasis[1]->GetPointsKey(),
                        CBasis[2]->GetPointsKey(), &tmpGeom[0],
                        m_base[0]->GetPointsKey(), m_base[1]->GetPointsKey(),
                        m_base[2]->GetPointsKey(), &tmp[i][0]);
                    break;
                }
            }
        }
    }
}

References ASSERTL1, Nektar::SpatialDomains::Geometry::FillGeom(), Nektar::SpatialDomains::Geometry::GetCoeffs(), Nektar::SpatialDomains::Geometry::GetCoordim(), Nektar::SpatialDomains::Geometry::GetXmap(), Nektar::LibUtilities::Interp1D(), Nektar::LibUtilities::Interp2D(), Nektar::LibUtilities::Interp3D(), Nektar::StdRegions::StdExpansion::m_base, and m_geom.

Referenced by Nektar::LocalRegions::HexExp::v_GetCoords(), Nektar::LocalRegions::PrismExp::v_GetCoords(), Nektar::LocalRegions::PyrExp::v_GetCoords(), Nektar::LocalRegions::QuadExp::v_GetCoords(), Nektar::LocalRegions::SegExp::v_GetCoords(), Nektar::LocalRegions::TetExp::v_GetCoords(), and Nektar::LocalRegions::TriExp::v_GetCoords().

◆ v_GetLinStdExp()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 283 of file Expansion.cpp.

{
    ASSERTL0(false, "This method is not defined for this expansion");
    StdRegions::StdExpansionSharedPtr returnval;
    return returnval;
}

References ASSERTL0.

Referenced by GetLinStdExp().

◆ v_GetLocMatrix()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 290 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
    return NullDNekScalMatSharedPtr;
}

References Nektar::ErrorUtil::efatal, NEKERROR, and Nektar::NullDNekScalMatSharedPtr.

Referenced by GetLocMatrix(), and v_FwdTrans().

◆ v_GetLocTracePhysVals()

void Nektar::LocalRegions::Expansion::v_GetLocTracePhysVals	(	const int	trace,
		const StdRegions::StdExpansionSharedPtr &	TraceExp,
		const NekDouble *	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TriExp, and Nektar::LocalRegions::Expansion3D.

Definition at line 1025 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetLocTracePhysVals(), and Nektar::LocalRegions::Expansion2D::v_NormalTraceDerivFactors().

◆ v_GetPhysNormals()

const Array< OneD, const NekDouble > & Nektar::LocalRegions::Expansion::v_GetPhysNormals ( void )

protectedvirtual

Reimplemented in Nektar::LocalRegions::SegExp.

Definition at line 1066 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not valid for this class");
    return NullNekDouble1DArray;
}

References Nektar::ErrorUtil::efatal, NEKERROR, and Nektar::NullNekDouble1DArray.

Referenced by GetPhysNormals().

◆ v_GetStdExp()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, Nektar::LocalRegions::NodalPrismExp, Nektar::LocalRegions::NodalTetExp, Nektar::LocalRegions::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 276 of file Expansion.cpp.

{
    ASSERTL0(false, "This method is not defined for this expansion");
    StdRegions::StdExpansionSharedPtr returnval;
    return returnval;
}

References ASSERTL0.

Referenced by GetStdExp().

◆ v_GetTraceOrient()

StdRegions::Orientation Nektar::LocalRegions::Expansion::v_GetTraceOrient ( int trace )

protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TriExp, and Nektar::LocalRegions::Expansion3D.

Definition at line 993 of file Expansion.cpp.

{
    return StdRegions::eForwards;
}

References Nektar::StdRegions::eForwards.

Referenced by Nektar::LocalRegions::Expansion2D::AddEdgeBoundaryInt(), GetTraceOrient(), Nektar::LocalRegions::Expansion2D::v_AddRobinMassMatrix(), and Nektar::LocalRegions::Expansion2D::v_AddRobinTraceContribution().

◆ v_GetTracePhysMap()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TriExp, Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::SegExp.

Definition at line 1036 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetTracePhysMap().

◆ v_GetTracePhysVals()

void Nektar::LocalRegions::Expansion::v_GetTracePhysVals	(	const int	trace,
		const StdRegions::StdExpansionSharedPtr &	TraceExp,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		StdRegions::Orientation	orient
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TriExp, Nektar::LocalRegions::Expansion3D, and Nektar::LocalRegions::QuadExp.

Definition at line 1014 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetTracePhysVals().

◆ v_GetTraceQFactors()

void Nektar::LocalRegions::Expansion::v_GetTraceQFactors	(	const int	trace,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp, and Nektar::LocalRegions::TriExp.

Definition at line 1006 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by GetTraceQFactors().

◆ v_MultiplyByQuadratureMetric()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 504 of file Expansion.cpp.

{
    const int nqtot = GetTotPoints();
 
    if (m_metrics.count(eMetricQuadrature) == 0)
    {
        ComputeQuadratureMetric();
    }
 
    Vmath::Vmul(nqtot, m_metrics[eMetricQuadrature], 1, inarray, 1, outarray,
                1);
}

References ComputeQuadratureMetric(), Nektar::LocalRegions::eMetricQuadrature, Nektar::StdRegions::StdExpansion::GetTotPoints(), m_metrics, and Vmath::Vmul().

◆ v_NormalTraceDerivFactors()

void Nektar::LocalRegions::Expansion::v_NormalTraceDerivFactors	(	Array< OneD, Array< OneD, NekDouble > > &	factors,
		Array< OneD, Array< OneD, NekDouble > > &	d0factors,
		Array< OneD, Array< OneD, NekDouble > > &	d1factors
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion3D, Nektar::LocalRegions::Expansion1D, and Nektar::LocalRegions::Expansion2D.

Definition at line 983 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "This function is only valid for "
             "shape expansion in LocalRegions, not parant class");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by NormalTraceDerivFactors().

◆ v_PhysEvaluate()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 492 of file Expansion.cpp.

{
    Array<OneD, NekDouble> Lcoord = Array<OneD, NekDouble>(GetShapeDimension());
 
    ASSERTL0(m_geom, "m_geom not defined");
    m_geom->GetLocCoords(coord, Lcoord);
 
    return v_StdPhysEvaluate(Lcoord, physvals);
}

References ASSERTL0, Nektar::SpatialDomains::Geometry::GetLocCoords(), Nektar::StdRegions::StdExpansion::GetShapeDimension(), m_geom, and Nektar::StdRegions::StdExpansion::v_StdPhysEvaluate().

◆ v_ReOrientTracePhysVals()

void Nektar::LocalRegions::Expansion::v_ReOrientTracePhysVals	(	const StdRegions::Orientation	orient,
		const Array< OneD, const NekDouble > &	in,
		Array< OneD, NekDouble > &	out,
		const int	nq0,
		const int	nq1,
		bool	Forwards
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion3D.

Definition at line 1043 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by ReOrientTracePhysVals().

◆ v_SetCoeffsToOrientation()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::SegExp.

Definition at line 998 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not defined for this shape");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by SetCoeffsToOrientation().

◆ v_SetPhysNormals()

void Nektar::LocalRegions::Expansion::v_SetPhysNormals ( Array< OneD, const NekDouble > & normal )

protectedvirtual

Definition at line 1072 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not valid for this class");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by SetPhysNormals().

◆ v_SetUpPhysNormals()

void Nektar::LocalRegions::Expansion::v_SetUpPhysNormals ( const int id )

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion2D.

Definition at line 1078 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This function is not valid for this class");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by SetUpPhysNormals().

◆ v_TraceNormLen()

void Nektar::LocalRegions::Expansion::v_TraceNormLen	(	const int	traceid,
		NekDouble &	h,
		NekDouble &	p
	)

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion1D, Nektar::LocalRegions::Expansion2D, and Nektar::LocalRegions::Expansion3D.

Definition at line 1100 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal, "This method has not been defined");
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by TraceNormLen().

◆ v_VectorFlux()

NekDouble Nektar::LocalRegions::Expansion::v_VectorFlux ( const Array< OneD, Array< OneD, NekDouble > > & vec )

protectedvirtual

Reimplemented in Nektar::LocalRegions::Expansion1D, and Nektar::LocalRegions::Expansion2D.

Definition at line 974 of file Expansion.cpp.

{
    NEKERROR(ErrorUtil::efatal,
             "This function is only valid for "
             "shape expansion in LocalRegions, not parant class");
    return 0.0;
}

References Nektar::ErrorUtil::efatal, and NEKERROR.

Referenced by VectorFlux().

◆ VectorFlux()

NekDouble Nektar::LocalRegions::Expansion::VectorFlux ( const Array< OneD, Array< OneD, NekDouble > > & vec )

Definition at line 149 of file Expansion.cpp.

{
    return v_VectorFlux(vec);
}

References v_VectorFlux().

Member Data Documentation

◆ m_elementLeft

ExpansionWeakPtr Nektar::LocalRegions::Expansion::m_elementLeft

protected

Definition at line 310 of file Expansion.h.

Referenced by GetLeftAdjacentElementExp(), GetRightAdjacentElementExp(), and SetAdjacentElementExp().

◆ m_elementRight

ExpansionWeakPtr Nektar::LocalRegions::Expansion::m_elementRight

protected

Definition at line 311 of file Expansion.h.

Referenced by GetRightAdjacentElementExp(), and SetAdjacentElementExp().

◆ m_elementTraceLeft

int Nektar::LocalRegions::Expansion::m_elementTraceLeft = -1

protected

Definition at line 312 of file Expansion.h.

Referenced by GetLeftAdjacentElementTrace(), and SetAdjacentElementExp().

◆ m_elementTraceRight

int Nektar::LocalRegions::Expansion::m_elementTraceRight = -1

protected

Definition at line 313 of file Expansion.h.

Referenced by GetRightAdjacentElementTrace(), and SetAdjacentElementExp().

◆ m_elmtBndNormDirElmtLen

std::map<int, Array<OneD, NekDouble> > Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen

protected

the element length in each element boundary(Vertex, edge or face) normal direction calculated based on the local m_geomFactors times the standard element length (which is 2.0)

Definition at line 319 of file Expansion.h.

Referenced by GetElmtBndNormDirElmtLen(), Nektar::LocalRegions::QuadExp::v_ComputeTraceNormal(), Nektar::LocalRegions::TriExp::v_ComputeTraceNormal(), Nektar::LocalRegions::HexExp::v_ComputeTraceNormal(), Nektar::LocalRegions::PrismExp::v_ComputeTraceNormal(), Nektar::LocalRegions::PyrExp::v_ComputeTraceNormal(), Nektar::LocalRegions::TetExp::v_ComputeTraceNormal(), and Nektar::LocalRegions::SegExp::v_ComputeTraceNormal().

◆ m_geom

SpatialDomains::Geometry* Nektar::LocalRegions::Expansion::m_geom

protected

Definition at line 306 of file Expansion.h.

◆ m_geomFactors

SpatialDomains::GeomFactorsUniquePtr Nektar::LocalRegions::Expansion::m_geomFactors

protected

Definition at line 307 of file Expansion.h.

◆ m_indexMapManager

LibUtilities::NekManager<IndexMapKey, IndexMapValues, IndexMapKey::opLess> Nektar::LocalRegions::Expansion::m_indexMapManager

protected

Definition at line 303 of file Expansion.h.

Referenced by GetIndexMap().

◆ m_metrics

MetricMap Nektar::LocalRegions::Expansion::m_metrics

protected

Definition at line 308 of file Expansion.h.

◆ m_traceExp

std::map<int, ExpansionWeakPtr> Nektar::LocalRegions::Expansion::m_traceExp

protected

Definition at line 305 of file Expansion.h.

Referenced by Expansion(), GetTraceExp(), SetTraceExp(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion3D::v_AddFaceNormBoundaryInt(), Nektar::LocalRegions::Expansion2D::v_AddRobinMassMatrix(), Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix(), and Nektar::LocalRegions::Expansion2D::v_AddRobinTraceContribution().

◆ m_traceNormals

std::map<int, NormalVector> Nektar::LocalRegions::Expansion::m_traceNormals

protected

Definition at line 309 of file Expansion.h.

Referenced by GetTraceNormal(), GetTraceNormals(), Nektar::LocalRegions::QuadExp::v_ComputeTraceNormal(), Nektar::LocalRegions::TriExp::v_ComputeTraceNormal(), Nektar::LocalRegions::HexExp::v_ComputeTraceNormal(), Nektar::LocalRegions::PrismExp::v_ComputeTraceNormal(), Nektar::LocalRegions::PyrExp::v_ComputeTraceNormal(), Nektar::LocalRegions::TetExp::v_ComputeTraceNormal(), and Nektar::LocalRegions::SegExp::v_ComputeTraceNormal().

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Expansion() [1/2]

◆ Expansion() [2/2]

◆ ~Expansion()

Member Function Documentation

◆ AddEdgeNormBoundaryInt() [1/2]

◆ AddEdgeNormBoundaryInt() [2/2]

◆ AddFaceNormBoundaryInt()

◆ AddRobinMassMatrix()

◆ AddRobinTraceContribution()

◆ AlignVectorToCollapsedDir()

◆ BuildTransformationMatrix()

◆ BuildVertexMatrix()

◆ ComputeGmatcdotMF()

◆ ComputeLaplacianMetric()

◆ ComputeQuadratureMetric()

◆ ComputeTraceNormal()

◆ CreateIndexMap()

◆ CreateStaticCondMatrix()

◆ DGDeriv()

◆ DivideByQuadratureMetric()

◆ DropLocMatrix()

◆ ExtractDataToCoeffs()

◆ GenGeomFactors()

◆ GetElmtBndNormDirElmtLen()

◆ GetGeom()

◆ GetGeomFactors()

◆ GetIndexMap()

◆ GetLeftAdjacentElementExp()

◆ GetLeftAdjacentElementTrace()

◆ GetLinStdExp()

◆ GetLocMatrix() [1/2]

◆ GetLocMatrix() [2/2]

◆ GetLocTraceExp()

◆ GetLocTracePhysVals()

◆ GetMF()

◆ GetMFDiv()

◆ GetMFMag()

◆ GetPhysNormals()

◆ GetRightAdjacentElementExp()

◆ GetRightAdjacentElementTrace()

◆ GetStdExp()

◆ GetTraceExp()

◆ GetTraceNormal()

◆ GetTraceNormals()

◆ GetTraceOrient()

◆ GetTracePhysMap()

◆ GetTracePhysVals()

◆ GetTraceQFactors()

◆ NormalTraceDerivFactors()

◆ PhysBaseOnTraceMat()

◆ PhysDerivBaseOnTraceMat()

◆ ReOrientTracePhysVals()

◆ Reset()

◆ SetAdjacentElementExp()

◆ SetCoeffsToOrientation()

◆ SetPhysNormals()

◆ SetTraceExp()

◆ SetUpPhysNormals()

◆ StdDerivBaseOnTraceMat()

◆ TraceNormLen()

◆ v_AddEdgeNormBoundaryInt() [1/2]

◆ v_AddEdgeNormBoundaryInt() [2/2]

◆ v_AddFaceNormBoundaryInt()

◆ v_AddRobinMassMatrix()

◆ v_AddRobinTraceContribution()

◆ v_AlignVectorToCollapsedDir()

◆ v_BuildTransformationMatrix()

◆ v_BuildVertexMatrix()

◆ v_ComputeLaplacianMetric()

◆ v_ComputeTraceNormal()

◆ v_DGDeriv()

◆ v_DivideByQuadratureMetric()

◆ v_DropLocMatrix()

◆ v_ExtractDataToCoeffs()

◆ v_FwdTrans()