Nektar::LocalRegions::Expansion Class Reference

#include <Expansion.h>

Inheritance diagram for Nektar::LocalRegions::Expansion:

Public Member Functions
	Expansion (SpatialDomains::GeometrySharedPtr pGeom)
	Expansion (const Expansion &pSrc)
virtual	~Expansion ()
void	SetTraceExp (const int traceid, ExpansionSharedPtr &f)
ExpansionSharedPtr	GetTraceExp (const int traceid)
DNekScalMatSharedPtr	GetLocMatrix (const LocalRegions::MatrixKey &mkey)
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::GeometrySharedPtr	GetGeom () const
void	Reset ()
IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)
DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)
const SpatialDomains::GeomFactorsSharedPtr &	GetMetricInfo () const
DNekMatSharedPtr	BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
DNekMatSharedPtr	BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
void	ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
void	AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
void	AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
void	AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
void	DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
NekDouble	VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)
void	NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors)
IndexMapValuesSharedPtr	GetIndexMap (const IndexMapKey &ikey)
void	AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
ExpansionSharedPtr	GetLeftAdjacentElementExp () const
ExpansionSharedPtr	GetRightAdjacentElementExp () const
int	GetLeftAdjacentElementTrace () const
int	GetRightAdjacentElementTrace () const
void	SetAdjacentElementExp (int traceid, ExpansionSharedPtr &e)
StdRegions::Orientation	GetTraceOrient (int trace)
void	SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Divided by the metric jacobi and quadrature weights. More...
void	GetTraceQFactors (const int trace, Array< OneD, NekDouble > &outarray)
	Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...
void	GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=StdRegions::eNoOrientation)
void	GetTracePhysMap (const int edge, Array< OneD, int > &outarray)
void	ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1)
const NormalVector &	GetTraceNormal (const int id)
void	ComputeTraceNormal (const int id)
const Array< OneD, const NekDouble > &	GetPhysNormals (void)
void	SetPhysNormals (Array< OneD, const NekDouble > &normal)
void	SetUpPhysNormals (const int trace)
void	AddRobinMassMatrix (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
void	TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)
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)
Public Member Functions inherited from Nektar::StdRegions::StdExpansion
	StdExpansion ()
	Default Constructor. More...
	StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
	Constructor. More...
	StdExpansion (const StdExpansion &T)
	Copy Constructor. More...
virtual	~StdExpansion ()
	Destructor. More...
int	GetNumBases () const
	This function returns the number of 1D bases used in the expansion. More...
const Array< OneD, const LibUtilities::BasisSharedPtr > &	GetBase () const
	This function gets the shared point to basis. More...
const LibUtilities::BasisSharedPtr &	GetBasis (int dir) const
	This function gets the shared point to basis in the dir direction. More...
int	GetNcoeffs (void) const
	This function returns the total number of coefficients used in the expansion. More...
int	GetTotPoints () const
	This function returns the total number of quadrature points used in the element. More...
LibUtilities::BasisType	GetBasisType (const int dir) const
	This function returns the type of basis used in the dir direction. More...
int	GetBasisNumModes (const int dir) const
	This function returns the number of expansion modes in the dir direction. More...
int	EvalBasisNumModesMax (void) const
	This function returns the maximum number of expansion modes over all local directions. More...
LibUtilities::PointsType	GetPointsType (const int dir) const
	This function returns the type of quadrature points used in the dir direction. More...
int	GetNumPoints (const int dir) const
	This function returns the number of quadrature points in the dir direction. More...
const Array< OneD, const NekDouble > &	GetPoints (const int dir) const
	This function returns a pointer to the array containing the quadrature points in dir direction. More...
int	GetNverts () const
	This function returns the number of vertices of the expansion domain. More...
int	GetTraceNcoeffs (const int i) const
	This function returns the number of expansion coefficients belonging to the i-th trace. More...
int	GetTraceIntNcoeffs (const int i) const
int	GetTraceNumPoints (const int i) const
	This function returns the number of quadrature points belonging to the i-th trace. More...
const LibUtilities::BasisKey	GetTraceBasisKey (const int i, int k=-1) const
	This function returns the basis key belonging to the i-th trace. More...
LibUtilities::PointsKey	GetTracePointsKey (const int i, int k=-1) const
	This function returns the basis key belonging to the i-th trace. More...
int	NumBndryCoeffs (void) const
int	NumDGBndryCoeffs (void) const
const LibUtilities::PointsKey	GetNodalPointsKey () const
	This function returns the type of expansion Nodal point type if defined. More...
int	GetNtraces () const
	Returns the number of trace elements connected to this element. More...
LibUtilities::ShapeType	DetShapeType () const
	This function returns the shape of the expansion domain. More...
std::shared_ptr< StdExpansion >	GetStdExp () const
std::shared_ptr< StdExpansion >	GetLinStdExp (void) const
int	GetShapeDimension () const
bool	IsBoundaryInteriorExpansion () const
bool	IsNodalNonTensorialExp ()
void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Backward transformation from coefficient space to physical space. More...
void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs the Forward transformation from physical space to coefficient space. More...
void	FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
	This function integrates the specified function over the domain. More...
void	FillMode (const int mode, Array< OneD, NekDouble > &outarray)
	This function fills the array outarray with the mode-th mode of the expansion. More...
void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	this function calculates the inner product of a given function f with the different modes of the expansion More...
void	IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
int	GetElmtId ()
	Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
void	SetElmtId (const int id)
	Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
void	GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
	this function returns the physical coordinates of the quadrature points of the expansion More...
void	GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
	given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
DNekMatSharedPtr	GetStdMatrix (const StdMatrixKey &mkey)
DNekBlkMatSharedPtr	GetStdStaticCondMatrix (const StdMatrixKey &mkey)
void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
void	NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
void	NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
DNekScalBlkMatSharedPtr	GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
void	DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
int	CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
NekDouble	StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
int	GetCoordim ()
void	GetBoundaryMap (Array< OneD, unsigned int > &outarray)
void	GetInteriorMap (Array< OneD, unsigned int > &outarray)
int	GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
void	GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
void	GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
void	GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
void	GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)
void	GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
void	MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
DNekMatSharedPtr	CreateGeneralMatrix (const StdMatrixKey &mkey)
	this function generates the mass matrix \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) More...
void	GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
void	ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
void	LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	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	PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
void	PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
void	PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
void	StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
void	StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
NekDouble	PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
	This function evaluates the expansion at a single (arbitrary) point of the domain. More...
NekDouble	PhysEvaluate (const Array< OneD, 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. More...
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. More...
NekDouble	PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
	This function evaluates the basis function mode mode at a point coords of the domain. More...
void	LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
	Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
void	LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
	Convert local collapsed coordinates eta into local cartesian coordinate xi. More...
virtual 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. More...
NekDouble	L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( L_2\) error, \( | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
NekDouble	H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
	Function to evaluate the discrete \( H^1\) error, \( | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
const LibUtilities::PointsKeyVector	GetPointsKeys () const
DNekMatSharedPtr	BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
void	PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
	This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
void	GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
	This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
void	EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
template<class T >
std::shared_ptr< T >	as ()
void	IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
void	GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

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)
virtual 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 int	v_GetCoordim () const override
virtual 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)
virtual 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_GetTracePhysMap (const int edge, Array< OneD, int > &outarray)
virtual void	v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1=-1)
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)
DNekBlkMatSharedPtr	CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
	Create the static condensation of a matrix when using a boundary interior decomposition. More...
void	BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
void	LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void	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 void	v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
virtual NekDouble	v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
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. More...
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. More...
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble	BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)

Protected Attributes
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_indexMapManager
std::map< int, ExpansionWeakPtr >	m_traceExp
SpatialDomains::GeometrySharedPtr	m_geom
SpatialDomains::GeomFactorsSharedPtr	m_metricinfo
MetricMap	m_metrics
std::map< int, NormalVector >	m_traceNormals
ExpansionWeakPtr	m_elementLeft
ExpansionWeakPtr	m_elementRight
int	m_elementTraceLeft = -1
int	m_elementTraceRight = -1
std::map< int, Array< OneD, NekDouble > >	m_elmtBndNormDirElmtLen
	the element length in each element boundary(Vertex, edge or face) normal direction calculated based on the local m_metricinfo times the standard element length (which is 2.0) More...
Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtr >	m_base
int	m_elmt_id
int	m_ncoeffs
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess >	m_stdMatrixManager
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess >	m_stdStaticCondMatrixManager

Detailed Description

Definition at line 73 of file Expansion.h.

Constructor & Destructor Documentation

Expansion() [1/2]

Nektar::LocalRegions::Expansion::Expansion

(

SpatialDomains::GeometrySharedPtr

pGeom

)

Definition at line 47 of file Expansion.cpp.

    : m_indexMapManager(
          std::bind(&Expansion::CreateIndexMap, this, std::placeholders::_1),
          std::string("ExpansionIndexMap")),
      m_geom(pGeom), m_metricinfo(m_geom->GetGeomFactors()),
      m_elementTraceLeft(-1), m_elementTraceRight(-1)
{
    if (!m_metricinfo)
    {
        return;
    }
 
    if (!m_metricinfo->IsValid())
    {
        int nDim    = m_base.size();
        string type = "regular";
        if (m_metricinfo->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.empty();
}

References Nektar::SpatialDomains::eDeformed, Nektar::ErrorUtil::ewarning, Nektar::StdRegions::StdExpansion::m_base, m_geom, m_metricinfo, m_traceExp, and NEKERROR.

Expansion() [2/2]

Nektar::LocalRegions::Expansion::Expansion

(

const Expansion &

pSrc

)

Definition at line 78 of file Expansion.cpp.

    : StdExpansion(pSrc), m_indexMapManager(pSrc.m_indexMapManager),
      m_geom(pSrc.m_geom), m_metricinfo(pSrc.m_metricinfo)
{
}

~Expansion()

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

virtual

Definition at line 84 of file Expansion.cpp.

{
}

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 245 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 257 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 153 of file Expansion.h.

    {
        v_AlignVectorToCollapsedDir(dir, inarray, outarray);
    }

References v_AlignVectorToCollapsedDir().

Referenced by Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_SumFac().

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 608 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_metricinfo->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_metricinfo, Vmath::Svtvp(), and Vmath::Vvtvp().

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

ComputeLaplacianMetric()

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

protected

Definition at line 454 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 459 of file Expansion.cpp.

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

References Nektar::LocalRegions::eMetricQuadrature, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), m_metricinfo, m_metrics, CellMLToNektar.cellml_metadata::p, and Nektar::StdRegions::StdExpansion::v_MultiplyByStdQuadratureMetric().

Referenced by Nektar::LocalRegions::HexExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::PyrExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::TriExp::v_ComputeLaplacianMetric(), v_DivideByQuadratureMetric(), and v_MultiplyByQuadratureMetric().

ComputeTraceNormal()

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

inline

Definition at line 225 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;
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::LocalRegions::eBoundary, Nektar::LocalRegions::eEdgeInterior, Nektar::LocalRegions::eEdgeToElement, Nektar::LocalRegions::eFaceInterior, Nektar::LocalRegions::eFaceToElement, Nektar::LocalRegions::eVertex, Nektar::LocalRegions::IndexMapKey::GetIndexEntity(), Nektar::LocalRegions::IndexMapKey::GetIndexMapType(), Nektar::LocalRegions::IndexMapKey::GetIndexOrientation(), Nektar::StdRegions::StdExpansion::GetTraceToElementMap(), and sign.

CreateStaticCondMatrix()

DNekScalBlkMatSharedPtr Nektar::LocalRegions::Expansion::CreateStaticCondMatrix

(

const MatrixKey &

mkey

)

Definition at line 277 of file Expansion.cpp.

{
    DNekScalBlkMatSharedPtr returnval;
 
    ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,
             "Geometric information is not set up");
 
    // set up block matrix system
    unsigned int nbdry      = NumBndryCoeffs();
    unsigned int nint       = (unsigned int)(m_ncoeffs - nbdry);
    unsigned int exp_size[] = {nbdry, nint};
    unsigned int nblks      = 2;
    returnval               = MemoryManager<DNekScalBlkMat>::AllocateSharedPtr(
        nblks, nblks, exp_size, exp_size);
    // 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_metricinfo->GetGtype() == SpatialDomains::eDeformed) ||
                (mkey.GetNVarCoeff()))
            {
                factor = 1.0;
                goto UseLocRegionsMatrix;
            }
            else
            {
                factor = (m_metricinfo->GetJac(GetPointsKeys()))[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));
        }
    }
    return returnval;
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL2, Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eMass, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetInteriorMap(), GetLocMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetStdStaticCondMatrix(), m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

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 183 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(), and Nektar::LocalRegions::Expansion3D::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().

GetElmtBndNormDirElmtLen()

const Array< OneD, const NekDouble > & Nektar::LocalRegions::Expansion::GetElmtBndNormDirElmtLen

(

const int

nbnd

)

const

Definition at line 918 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::GeometrySharedPtr Nektar::LocalRegions::Expansion::GetGeom

(

)

const

Definition at line 171 of file Expansion.cpp.

{
    return m_geom;
}

References m_geom.

Referenced by Nektar::MultiRegions::AssemblyMapCG::CreateGraph(), Nektar::MultiRegions::AssemblyMapDG::SetUpUniversalDGMap(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion3D::v_AddFaceNormBoundaryInt(), Nektar::MultiRegions::PreconditionerLowEnergy::v_BuildPreconditioner(), Nektar::LocalRegions::NodalTriExp::v_ComputeTraceNormal(), 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(), Nektar::LocalRegions::SegExp::v_ComputeTraceNormal(), Nektar::LocalRegions::Expansion1D::v_TraceNormLen(), Nektar::LocalRegions::Expansion2D::v_TraceNormLen(), and Nektar::LocalRegions::Expansion3D::v_TraceNormLen().

GetIndexMap()

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

inline

Definition at line 148 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 443 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 456 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().

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().

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion1D::AddHDGHelmholtzTraceTerms(), Nektar::LocalRegions::Expansion2D::CreateMatrix(), Nektar::LocalRegions::Expansion3D::CreateMatrix(), CreateStaticCondMatrix(), Nektar::LocalRegions::NodalTriExp::GeneralMatrixOp_MatOp(), Nektar::LocalRegions::TetExp::GeneralMatrixOp_MatOp(), GetLocMatrix(), Nektar::LocalRegions::Expansion2D::v_DGDeriv(), Nektar::LocalRegions::Expansion3D::v_DGDeriv(), Nektar::LocalRegions::Expansion1D::v_GenMatrix(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

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(), Nektar::VarcoeffHashingTest::factors, and GetLocMatrix().

GetMetricInfo()

const SpatialDomains::GeomFactorsSharedPtr & Nektar::LocalRegions::Expansion::GetMetricInfo

(

)

const

Definition at line 250 of file Expansion.cpp.

{
    return m_metricinfo;
}

References m_metricinfo.

Referenced by Nektar::SolverUtils::DiffusionLFR::DerCFlux_1D(), Nektar::SolverUtils::DiffusionLFRNS::DerCFlux_1D(), Nektar::SolverUtils::DiffusionLFR::DerCFlux_2D(), Nektar::SolverUtils::DiffusionLFRNS::DerCFlux_2D(), Nektar::Collections::CoalescedGeomData::GetDerivFactors(), Nektar::Collections::CoalescedGeomData::GetJac(), Nektar::Collections::CoalescedGeomData::GetJacWithStdWeights(), Nektar::Collections::CoalescedGeomData::IsDeformed(), Nektar::SolverUtils::AdvectionFR::SetupMetrics(), Nektar::SolverUtils::DiffusionLFR::SetupMetrics(), Nektar::SolverUtils::DiffusionLFRNS::SetupMetrics(), Nektar::FieldUtils::ProcessJacobianEnergy::v_Process(), and Nektar::FieldUtils::ProcessScalGrad::v_Process().

GetMF()

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

protected

Definition at line 638 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;
}

References Nektar::StdRegions::eVarCoeffMF1Div, Nektar::StdRegions::eVarCoeffMF1Mag, Nektar::StdRegions::eVarCoeffMF1x, Nektar::StdRegions::eVarCoeffMF1y, Nektar::StdRegions::eVarCoeffMF1z, Nektar::StdRegions::eVarCoeffMF2Div, Nektar::StdRegions::eVarCoeffMF2Mag, Nektar::StdRegions::eVarCoeffMF2x, Nektar::StdRegions::eVarCoeffMF2y, Nektar::StdRegions::eVarCoeffMF2z, Nektar::StdRegions::eVarCoeffMF3Div, Nektar::StdRegions::eVarCoeffMF3Mag, Nektar::StdRegions::eVarCoeffMF3x, Nektar::StdRegions::eVarCoeffMF3y, Nektar::StdRegions::eVarCoeffMF3z, Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vcopy().

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 691 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;
}

References Nektar::StdRegions::eVarCoeffMF1Div, Nektar::StdRegions::eVarCoeffMF1Mag, Nektar::StdRegions::eVarCoeffMF1x, Nektar::StdRegions::eVarCoeffMF1y, Nektar::StdRegions::eVarCoeffMF1z, Nektar::StdRegions::eVarCoeffMF2Div, Nektar::StdRegions::eVarCoeffMF2Mag, Nektar::StdRegions::eVarCoeffMF2x, Nektar::StdRegions::eVarCoeffMF2y, Nektar::StdRegions::eVarCoeffMF2z, Nektar::StdRegions::eVarCoeffMF3Div, Nektar::StdRegions::eVarCoeffMF3Mag, Nektar::StdRegions::eVarCoeffMF3x, Nektar::StdRegions::eVarCoeffMF3y, and Nektar::StdRegions::eVarCoeffMF3z.

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 714 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;
}

References Nektar::StdRegions::eVarCoeffMF1Div, Nektar::StdRegions::eVarCoeffMF1Mag, Nektar::StdRegions::eVarCoeffMF1x, Nektar::StdRegions::eVarCoeffMF1y, Nektar::StdRegions::eVarCoeffMF1z, Nektar::StdRegions::eVarCoeffMF2Div, Nektar::StdRegions::eVarCoeffMF2Mag, Nektar::StdRegions::eVarCoeffMF2x, Nektar::StdRegions::eVarCoeffMF2y, Nektar::StdRegions::eVarCoeffMF2z, Nektar::StdRegions::eVarCoeffMF3Div, Nektar::StdRegions::eVarCoeffMF3Mag, Nektar::StdRegions::eVarCoeffMF3x, Nektar::StdRegions::eVarCoeffMF3y, and Nektar::StdRegions::eVarCoeffMF3z.

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 230 of file Expansion.h.

    {
        return v_GetPhysNormals();
    }

References v_GetPhysNormals().

GetRightAdjacentElementExp()

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

inline

Definition at line 449 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 461 of file Expansion.h.

{
    return m_elementTraceRight;
}

References m_elementTraceRight.

GetTraceExp()

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

inline

Definition at line 416 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 255 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().

Referenced by Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::AddNormTraceInt(), Nektar::LocalRegions::Expansion3D::AddNormTraceInt(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), Nektar::LocalRegions::Expansion3D::v_GenMatrix(), Nektar::LocalRegions::PrismExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::Expansion1D::v_NormalTraceDerivFactors(), Nektar::LocalRegions::HexExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::QuadExp::v_NormalTraceDerivFactors(), and Nektar::LocalRegions::TriExp::v_NormalTraceDerivFactors().

GetTraceOrient()

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

inline

Definition at line 170 of file Expansion.h.

    {
        return v_GetTraceOrient(trace);
    }

References v_GetTraceOrient().

Referenced by Nektar::LocalRegions::Expansion3D::AddFaceBoundaryInt(), Nektar::LocalRegions::Expansion2D::AddHDGHelmholtzEdgeTerms(), Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms(), Nektar::LocalRegions::Expansion2D::GetPhysEdgeVarCoeffsFromElement(), Nektar::LocalRegions::Expansion3D::GetPhysFaceVarCoeffsFromElement(), Nektar::LocalRegions::Expansion3D::GetTraceInverseBoundaryMap(), Nektar::LocalRegions::Expansion3D::SetFaceToGeomOrientation(), Nektar::LocalRegions::Expansion2D::SetTraceToGeomOrientation(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::Expansion3D::v_AddFaceNormBoundaryInt(), Nektar::LocalRegions::Expansion2D::v_AddRobinMassMatrix(), Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix(), Nektar::LocalRegions::QuadExp::v_FwdTransBndConstrained(), Nektar::LocalRegions::Expansion2D::v_GenMatrix(), Nektar::LocalRegions::Expansion3D::v_GenMatrix(), Nektar::LocalRegions::QuadExp::v_GetTracePhysVals(), Nektar::LocalRegions::TriExp::v_GetTracePhysVals(), and Nektar::LocalRegions::Expansion3D::v_GetTracePhysVals().

GetTracePhysMap()

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

inline

Definition at line 211 of file Expansion.h.

    {
        v_GetTracePhysMap(edge, outarray);
    }

References v_GetTracePhysMap().

Referenced by StdDerivBaseOnTraceMat(), and Nektar::LocalRegions::Expansion3D::v_GetTracePhysVals().

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 202 of file Expansion.h.

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

References v_GetTracePhysVals().

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

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 196 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 Nektar::VarcoeffHashingTest::factors, and v_NormalTraceDerivFactors().

ReOrientTracePhysMap()

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

inline

Definition at line 216 of file Expansion.h.

    {
        v_ReOrientTracePhysMap(orient, idmap, nq0, nq1);
    }

References v_ReOrientTracePhysMap().

Reset()

void Nektar::LocalRegions::Expansion::Reset

(

)

Definition at line 176 of file Expansion.cpp.

{
    // Clear metrics
    m_metrics.clear();
 
    // Regenerate geometry factors
    m_metricinfo = m_geom->GetGeomFactors();
}

References m_geom, m_metricinfo, and m_metrics.

SetAdjacentElementExp()

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

inline

Definition at line 466 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 175 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 235 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 436 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 240 of file Expansion.h.

    {
        v_SetUpPhysNormals(trace);
    }

References v_SetUpPhysNormals().

StdDerivBaseOnTraceMat()

void Nektar::LocalRegions::Expansion::StdDerivBaseOnTraceMat

(

Array< OneD, DNekMatSharedPtr > &

DerivMat

)

Definition at line 479 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);
 
    Array<OneD, Array<OneD, int>> traceids(ntraces);
 
    int tottracepts = 0;
    for (int i = 0; i < ntraces; ++i)
    {
        GetTracePhysMap(i, traceids[i]);
        tottracepts += GetTraceNumPoints(i);
    }
 
    // 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 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)
        {
            int nTracePts = GetTraceNumPoints(j);
            for (int k = 0; k < nTracePts; ++k)
            {
                for (int d = 0; d < ndir; ++d)
                {
                    (*DerivMat[d])(i, cnt + k) = Deriv[d][traceids[j][k]];
                }
            }
            cnt += nTracePts;
        }
    }
}

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

TraceNormLen()

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

inline

Definition at line 252 of file Expansion.h.

    {
        v_TraceNormLen(traceid, h, p);
    }

References CellMLToNektar.cellml_metadata::p, and 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 770 of file Expansion.cpp.

{
    boost::ignore_unused(edge, EdgeExp, Fn, outarray);
    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 761 of file Expansion.cpp.

{
    boost::ignore_unused(edge, EdgeExp, Fx, Fy, outarray);
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

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

Referenced by 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 778 of file Expansion.cpp.

{
    boost::ignore_unused(face, FaceExp, Fn, outarray);
    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 896 of file Expansion.cpp.

{
    boost::ignore_unused(trace, primCoeffs, inoutmat);
    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 904 of file Expansion.cpp.

{
    boost::ignore_unused(traceid, primCoeffs, incoeffs, coeffs);
    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::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 927 of file Expansion.cpp.

{
    boost::ignore_unused(dir, inarray, outarray);
    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 736 of file Expansion.cpp.

{
    boost::ignore_unused(r_bnd, matrixType);
    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 744 of file Expansion.cpp.

{
    boost::ignore_unused(r_bnd);
    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 313 of file Expansion.h.

    {
    }

Referenced by ComputeLaplacianMetric().

v_ComputeTraceNormal()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::NodalTriExp, 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 872 of file Expansion.cpp.

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

References ASSERTL0.

Referenced by ComputeTraceNormal(), GetTraceNormal(), 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 786 of file Expansion.cpp.

{
    boost::ignore_unused(dir, inarray, EdgeExp, coeffs, outarray);
    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 439 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);
}

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::NodalTriExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 418 of file Expansion.cpp.

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

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

Referenced by 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::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 752 of file Expansion.cpp.

{
    boost::ignore_unused(data, nummodes, nmodes_offset, coeffs, fromType);
    NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
}

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

Referenced by ExtractDataToCoeffs().

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 865 of file Expansion.cpp.

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

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

Referenced by GetTraceExp().

v_GetCoordim()

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

inlineoverrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 317 of file Expansion.h.

    {
        return m_geom->GetCoordim();
    }

References 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::NodalTriExp, Nektar::LocalRegions::HexExp, Nektar::LocalRegions::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TetExp, and Nektar::LocalRegions::TriExp.

Definition at line 535 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::LibUtilities::Interp1D(), Nektar::LibUtilities::Interp2D(), Nektar::LibUtilities::Interp3D(), Nektar::StdRegions::StdExpansion::m_base, and m_geom.

Referenced by Nektar::LocalRegions::NodalTriExp::GetCoords(), 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_GetLocMatrix()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::HexExp, 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 269 of file Expansion.cpp.

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

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

Referenced by GetLocMatrix().

v_GetPhysNormals()

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

protectedvirtual

Reimplemented in Nektar::LocalRegions::SegExp.

Definition at line 878 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_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 817 of file Expansion.cpp.

{
    boost::ignore_unused(trace);
    return StdRegions::eForwards;
}

References Nektar::StdRegions::eForwards.

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

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 849 of file Expansion.cpp.

{
    boost::ignore_unused(edge, outarray);
    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::QuadExp, Nektar::LocalRegions::SegExp, Nektar::LocalRegions::TriExp, and Nektar::LocalRegions::Expansion3D.

Definition at line 839 of file Expansion.cpp.

{
    boost::ignore_unused(trace, TraceExp, inarray, outarray, orient);
    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 831 of file Expansion.cpp.

{
    boost::ignore_unused(trace, outarray);
    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 424 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::PrismExp, Nektar::LocalRegions::PyrExp, Nektar::LocalRegions::TetExp, Nektar::LocalRegions::Expansion1D, Nektar::LocalRegions::HexExp, Nektar::LocalRegions::QuadExp, and Nektar::LocalRegions::TriExp.

Definition at line 806 of file Expansion.cpp.

{
    boost::ignore_unused(factors, d0factors, d1factors);
    NEKERROR(ErrorUtil::efatal,
             "This function is only valid for "
             "shape expansion in LocalRegions, not parant class");
}

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

Referenced by NormalTraceDerivFactors().

v_ReOrientTracePhysMap()

void Nektar::LocalRegions::Expansion::v_ReOrientTracePhysMap ( const StdRegions::Orientation  orient, Array< OneD, int > &  idmap, const int  nq0, const int  nq1 = -1  )

protectedvirtual

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

Definition at line 856 of file Expansion.cpp.

{
    boost::ignore_unused(orient, idmap, nq0, nq1);
    NEKERROR(ErrorUtil::efatal,
             "Method does not exist for this shape or library");
}

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

Referenced by ReOrientTracePhysMap().

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 823 of file Expansion.cpp.

{
    boost::ignore_unused(dir, inarray, outarray);
    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 884 of file Expansion.cpp.

{
    boost::ignore_unused(normal);
    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 890 of file Expansion.cpp.

{
    boost::ignore_unused(edge);
    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 912 of file Expansion.cpp.

{
    boost::ignore_unused(traceid, h, p);
    NEKERROR(ErrorUtil::efatal, "This method has not been defined");
}

References Nektar::ErrorUtil::efatal, NEKERROR, and CellMLToNektar.cellml_metadata::p.

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 796 of file Expansion.cpp.

{
    boost::ignore_unused(vec);
    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 279 of file Expansion.h.

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

m_elementRight

ExpansionWeakPtr Nektar::LocalRegions::Expansion::m_elementRight

protected

Definition at line 280 of file Expansion.h.

Referenced by GetRightAdjacentElementExp(), and SetAdjacentElementExp().

m_elementTraceLeft

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

protected

Definition at line 281 of file Expansion.h.

Referenced by GetLeftAdjacentElementTrace(), and SetAdjacentElementExp().

m_elementTraceRight

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

protected

Definition at line 282 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_metricinfo times the standard element length (which is 2.0)

Definition at line 288 of file Expansion.h.

Referenced by GetElmtBndNormDirElmtLen(), Nektar::LocalRegions::NodalTriExp::v_ComputeTraceNormal(), 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::GeometrySharedPtr Nektar::LocalRegions::Expansion::m_geom

protected

Definition at line 275 of file Expansion.h.

Referenced by Nektar::LocalRegions::SegExp::CreateMatrix(), Expansion(), Nektar::LocalRegions::NodalTriExp::GetCoord(), Nektar::LocalRegions::PointExp::GetCoords(), GetGeom(), Nektar::LocalRegions::PointExp::GetGeom(), Nektar::LocalRegions::Expansion0D::GetGeom0D(), Nektar::LocalRegions::Expansion1D::GetGeom1D(), Nektar::LocalRegions::Expansion2D::GetGeom2D(), Nektar::LocalRegions::Expansion3D::GetGeom3D(), Nektar::LocalRegions::NodalTriExp::PhysEvaluate(), Reset(), Nektar::LocalRegions::Expansion2D::v_AddEdgeNormBoundaryInt(), Nektar::LocalRegions::NodalTriExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::QuadExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::TriExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::Expansion2D::v_GenTraceExp(), Nektar::LocalRegions::Expansion3D::v_GenTraceExp(), Nektar::LocalRegions::HexExp::v_GetCoord(), Nektar::LocalRegions::PrismExp::v_GetCoord(), Nektar::LocalRegions::PyrExp::v_GetCoord(), Nektar::LocalRegions::QuadExp::v_GetCoord(), Nektar::LocalRegions::SegExp::v_GetCoord(), Nektar::LocalRegions::TetExp::v_GetCoord(), Nektar::LocalRegions::TriExp::v_GetCoord(), v_GetCoordim(), Nektar::LocalRegions::PointExp::v_GetCoords(), v_GetCoords(), Nektar::LocalRegions::PrismExp::v_GetSimplexEquiSpacedConnectivity(), Nektar::LocalRegions::QuadExp::v_GetTraceOrient(), Nektar::LocalRegions::Expansion3D::v_GetTraceOrient(), Nektar::LocalRegions::SegExp::v_HelmholtzMatrixOp(), Nektar::LocalRegions::SegExp::v_IProductWRTDerivBase(), Nektar::LocalRegions::QuadExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::SegExp::v_LaplacianMatrixOp(), Nektar::LocalRegions::SegExp::v_PhysDeriv_n(), Nektar::LocalRegions::SegExp::v_PhysDeriv_s(), Nektar::LocalRegions::QuadExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::TriExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::PrismExp::v_PhysEvaluate(), Nektar::LocalRegions::PyrExp::v_PhysEvaluate(), Nektar::LocalRegions::QuadExp::v_PhysEvaluate(), Nektar::LocalRegions::SegExp::v_PhysEvaluate(), Nektar::LocalRegions::TriExp::v_PhysEvaluate(), Nektar::LocalRegions::HexExp::v_PhysEvaluate(), Nektar::LocalRegions::TetExp::v_PhysEvaluate(), and Nektar::LocalRegions::NodalTriExp::v_PhysEvaluate().

m_indexMapManager

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

protected

Definition at line 272 of file Expansion.h.

Referenced by GetIndexMap().

m_metricinfo

SpatialDomains::GeomFactorsSharedPtr Nektar::LocalRegions::Expansion::m_metricinfo

protected

Definition at line 276 of file Expansion.h.

Referenced by ComputeGmatcdotMF(), ComputeQuadratureMetric(), Nektar::LocalRegions::Expansion2D::CreateMatrix(), Nektar::LocalRegions::Expansion3D::CreateMatrix(), Nektar::LocalRegions::SegExp::CreateMatrix(), CreateStaticCondMatrix(), Expansion(), GetMetricInfo(), Nektar::LocalRegions::NodalTriExp::Integral(), Nektar::LocalRegions::NodalTriExp::PhysDeriv(), Reset(), Nektar::LocalRegions::HexExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::NodalTriExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::PrismExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::PyrExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::QuadExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::TetExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::TriExp::v_AlignVectorToCollapsedDir(), Nektar::LocalRegions::HexExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::PyrExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::TriExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_GetTraceQFactors(), Nektar::LocalRegions::SegExp::v_HelmholtzMatrixOp(), Nektar::LocalRegions::HexExp::v_Integral(), Nektar::LocalRegions::PrismExp::v_Integral(), Nektar::LocalRegions::PyrExp::v_Integral(), Nektar::LocalRegions::QuadExp::v_Integral(), Nektar::LocalRegions::SegExp::v_Integral(), Nektar::LocalRegions::TetExp::v_Integral(), Nektar::LocalRegions::TriExp::v_Integral(), Nektar::LocalRegions::SegExp::v_IProductWRTBase(), Nektar::LocalRegions::SegExp::v_IProductWRTDerivBase(), Nektar::LocalRegions::HexExp::v_IProductWRTDirectionalDerivBase_SumFac(), Nektar::LocalRegions::TriExp::v_IProductWRTDirectionalDerivBase_SumFac(), Nektar::LocalRegions::SegExp::v_LaplacianMatrixOp(), Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp_MatFree_Kernel(), Nektar::LocalRegions::PrismExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::Expansion1D::v_NormalTraceDerivFactors(), Nektar::LocalRegions::HexExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::QuadExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::TriExp::v_NormalTraceDerivFactors(), Nektar::LocalRegions::QuadExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::TriExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::HexExp::v_PhysDeriv(), Nektar::LocalRegions::PrismExp::v_PhysDeriv(), Nektar::LocalRegions::PyrExp::v_PhysDeriv(), Nektar::LocalRegions::TetExp::v_PhysDeriv(), Nektar::LocalRegions::QuadExp::v_PhysDeriv(), Nektar::LocalRegions::TriExp::v_PhysDeriv(), Nektar::LocalRegions::SegExp::v_PhysDeriv(), Nektar::LocalRegions::SegExp::v_PhysDeriv_n(), Nektar::LocalRegions::SegExp::v_PhysDeriv_s(), Nektar::LocalRegions::HexExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::QuadExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::TriExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::HexExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::PrismExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::PyrExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::QuadExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::TetExp::v_SVVLaplacianFilter(), and Nektar::LocalRegions::TriExp::v_SVVLaplacianFilter().

m_metrics

MetricMap Nektar::LocalRegions::Expansion::m_metrics

protected

Definition at line 277 of file Expansion.h.

Referenced by ComputeQuadratureMetric(), Reset(), Nektar::LocalRegions::HexExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::PyrExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::TriExp::v_ComputeLaplacianMetric(), v_DivideByQuadratureMetric(), 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(), Nektar::LocalRegions::TriExp::v_LaplacianMatrixOp_MatFree_Kernel(), and v_MultiplyByQuadratureMetric().

m_traceExp

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

protected

Definition at line 274 of file Expansion.h.

Referenced by Expansion(), GetTraceExp(), SetTraceExp(), 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 278 of file Expansion.h.

Referenced by GetTraceNormal(), Nektar::LocalRegions::NodalTriExp::v_ComputeTraceNormal(), 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().