#include <SegExp.h>

Inheritance diagram for Nektar::LocalRegions::SegExp:

Public Member Functions
	SegExp (const LibUtilities::BasisKey &Ba, const SpatialDomains::Geometry1DSharedPtr &geom)
	Constructor using BasisKey class for quadrature points and order definition. More...

	SegExp (const SegExp &S)
	Copy Constructor. More...

	~SegExp ()

Public Member Functions inherited from Nektar::StdRegions::StdSegExp
	StdSegExp ()
	Default constructor. More...

	StdSegExp (const LibUtilities::BasisKey &Ba)
	Constructor using BasisKey class for quadrature points and order definition. More...

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

	~StdSegExp ()

Public Member Functions inherited from Nektar::StdRegions::StdExpansion1D
	StdExpansion1D ()

	StdExpansion1D (int numcoeffs, const LibUtilities::BasisKey &Ba)

	StdExpansion1D (const StdExpansion1D &T)

virtual	~StdExpansion1D ()

void	PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Evaluate the derivative \( d/d{\xi_1} \) at the physical quadrature points given by inarray and return in outarray. More...

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

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

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

virtual	~StdExpansion ()
	Destructor. More...

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

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

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

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

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

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

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

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

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

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

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

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

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

int	GetTraceIntNcoeffs (const int i) const

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

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

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

int	NumBndryCoeffs (void) const

int	NumDGBndryCoeffs (void) const

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

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

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

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

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

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion ()

bool	IsNodalNonTensorialExp ()

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

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

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

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

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

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

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

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

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

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

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

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

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

DNekMatSharedPtr	GetStdMatrix (const StdMatrixKey &mkey)

DNekBlkMatSharedPtr	GetStdStaticCondMatrix (const StdMatrixKey &mkey)

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

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

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

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

DNekScalBlkMatSharedPtr	GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

void	DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

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

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

int	GetCoordim ()

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

DNekMatSharedPtr	GenMatrix (const StdMatrixKey &mkey)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

const LibUtilities::PointsKeyVector	GetPointsKeys () const

DNekMatSharedPtr	BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

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

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

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

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

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

void	GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)

Public Member Functions inherited from Nektar::LocalRegions::Expansion1D
	Expansion1D (SpatialDomains::Geometry1DSharedPtr pGeom)

virtual	~Expansion1D ()

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

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

SpatialDomains::Geometry1DSharedPtr	GetGeom1D () const

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

	Expansion (const Expansion &pSrc)

virtual	~Expansion ()

void	SetTraceExp (const int traceid, ExpansionSharedPtr &f)

ExpansionSharedPtr	GetTraceExp (const int traceid)

DNekScalMatSharedPtr	GetLocMatrix (const LocalRegions::MatrixKey &mkey)

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

SpatialDomains::GeometrySharedPtr	GetGeom () const

void	Reset ()

IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)

DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)

const SpatialDomains::GeomFactorsSharedPtr &	GetMetricInfo () const

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

DNekMatSharedPtr	BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

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

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

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

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

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

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

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

IndexMapValuesSharedPtr	GetIndexMap (const IndexMapKey &ikey)

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

ExpansionSharedPtr	GetLeftAdjacentElementExp () const

ExpansionSharedPtr	GetRightAdjacentElementExp () const

int	GetLeftAdjacentElementTrace () const

int	GetRightAdjacentElementTrace () const

void	SetAdjacentElementExp (int traceid, ExpansionSharedPtr &e)

StdRegions::Orientation	GetTraceOrient (int trace)

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

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

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

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

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

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

const NormalVector &	GetTraceNormal (const int id)

void	ComputeTraceNormal (const int id)

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

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

void	SetUpPhysNormals (const int trace)

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

void	TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)

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

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

void	StdDerivBaseOnTraceMat (Array< OneD, DNekMatSharedPtr > &DerivMat)

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

virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray) override
	Evaluate the derivative \( d/d{\xi_1} \) at the physical quadrature points given by inarray and return in outarray. More...

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

virtual void	v_PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds) override
	Evaluate the derivative along a line: \( d/ds=\frac{spacedim}{\|\|tangent\|\|}d/d{\xi} \). The derivative is calculated performing the product \( du/d{s}=\nabla u \cdot tangent \). More...

virtual void	v_PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn) override
	Evaluate the derivative normal to a line: \( d/dn=\frac{spacedim}{\|\|normal\|\|}d/d{\xi} \). The derivative is calculated performing the product \( du/d{s}=\nabla u \cdot normal \). More...

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

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

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
	Inner product of inarray over region with respect to the expansion basis (this)->_Base[0] and return in outarray. More...

virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check) override
	Inner product of inarray over region with respect to expansion basis base and return in outarray. More...

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

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

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

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

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

virtual void	v_GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords) override

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

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

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

virtual void	v_GetTracePhysVals (const int edge, const StdRegions::StdExpansionSharedPtr &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient) override

virtual void	v_GetTracePhysMap (const int vertex, Array< OneD, int > &map) override

virtual StdRegions::StdExpansionSharedPtr	v_GetStdExp (void) const override

virtual StdRegions::StdExpansionSharedPtr	v_GetLinStdExp (void) const override

virtual int	v_GetCoordim () override

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

virtual int	v_GetNumPoints (const int dir) const

virtual int	v_GetNcoeffs (void) const

virtual const LibUtilities::BasisSharedPtr &	v_GetBasis (int dir) const

virtual int	v_NumBndryCoeffs () const override

virtual int	v_NumDGBndryCoeffs () const override

virtual void	v_ComputeTraceNormal (const int vertex) override

virtual SpatialDomains::GeomType	v_MetricInfoType ()

virtual void	v_ExtractDataToCoeffs (const NekDouble data, const std::vector< unsigned int > &nummodes, const int mode_offset, NekDouble coeffs, std::vector< LibUtilities::BasisType > &fromType) override
	Unpack data from input file assuming it comes from. More...

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

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

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

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

DNekScalMatSharedPtr	CreateMatrix (const MatrixKey &mkey)

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

virtual DNekScalMatSharedPtr	v_GetLocMatrix (const MatrixKey &mkey) override

virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const MatrixKey &mkey) override

void	v_DropLocStaticCondMatrix (const MatrixKey &mkey) override

Protected Member Functions inherited from Nektar::StdRegions::StdSegExp
virtual void	v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)

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

virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Backward transform from coefficient space given in inarray and evaluate at the physical quadrature points outarray. More...

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

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

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

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

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

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

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

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

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

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

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

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

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

virtual int	v_GetNverts () const

virtual int	v_GetNtraces () const

virtual int	v_GetTraceNcoeffs (const int i) const

virtual int	v_GetTraceNumPoints (const int i) const

virtual bool	v_IsBoundaryInteriorExpansion ()

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

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

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

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

virtual void	v_GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
	Get the map of the coefficient location to teh local trace coefficients. More...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Protected Member Functions inherited from Nektar::LocalRegions::Expansion1D
virtual void	v_AddRobinMassMatrix (const int vert, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)

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

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)
	: This method gets all of the factors which are required as part of the Gradient Jump Penalty stabilisation and involves the product of the normal and geometric factors along the element trace. More...

virtual const NormalVector &	v_GetTraceNormal (const int edge) const final

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

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

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

void	ComputeQuadratureMetric ()

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

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

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

virtual void	v_ComputeLaplacianMetric ()

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

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

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

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

virtual DNekMatSharedPtr	v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

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 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_GetTraceQFactors (const int trace, Array< OneD, NekDouble > &outarray)

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

virtual void	v_SetUpPhysNormals (const int id)

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

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

Private Member Functions
	SegExp ()

void	ReverseCoeffsAndSign (const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Reverse the coefficients in a boundary interior expansion this routine is of use when we need the segment coefficients corresponding to a expansion in the reverse coordinate direction. More...

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

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

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

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

int	m_elmt_id

int	m_ncoeffs

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

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

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

std::map< int, ExpansionWeakPtr >	m_traceExp

SpatialDomains::GeometrySharedPtr	m_geom

SpatialDomains::GeomFactorsSharedPtr	m_metricinfo

MetricMap	m_metrics

std::map< int, NormalVector >	m_traceNormals

ExpansionWeakPtr	m_elementLeft

ExpansionWeakPtr	m_elementRight

int	m_elementTraceLeft = -1

int	m_elementTraceRight = -1

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

Detailed Description

Defines a Segment local expansion.

Definition at line 51 of file SegExp.h.

Constructor & Destructor Documentation

◆ SegExp() [1/3]

Nektar::LocalRegions::SegExp::SegExp	(	const LibUtilities::BasisKey &	Ba,
		const SpatialDomains::Geometry1DSharedPtr &	geom
	)

Constructor using BasisKey class for quadrature points and order definition.

Parameters

Ba	Basis key of segment expansion.
geom	Description of geometry.

Definition at line 59 of file SegExp.cpp.

     : StdExpansion(Ba.GetNumModes(), 1, Ba),
       StdExpansion1D(Ba.GetNumModes(), Ba), StdRegions::StdSegExp(Ba),
       Expansion(geom), Expansion1D(geom),
       m_matrixManager(
           std::bind(&SegExp::CreateMatrix, this, std::placeholders::_1),
           std::string("SegExpMatrix")),
       m_staticCondMatrixManager(std::bind(&Expansion::CreateStaticCondMatrix,
                                           this, std::placeholders::_1),
                                 std::string("SegExpStaticCondMatrix"))
 {
 }

◆ SegExp() [2/3]

Nektar::LocalRegions::SegExp::SegExp ( const SegExp & S )

Copy Constructor.

Parameters

S	Existing segment to duplicate.

Definition at line 77 of file SegExp.cpp.

     : StdExpansion(S), StdExpansion1D(S), StdRegions::StdSegExp(S),
       Expansion(S), Expansion1D(S), m_matrixManager(S.m_matrixManager),
       m_staticCondMatrixManager(S.m_staticCondMatrixManager)
 {
 }

◆ ~SegExp()

Nektar::LocalRegions::SegExp::~SegExp ( )

Definition at line 87 of file SegExp.cpp.

88 {

89 }

◆ SegExp() [3/3]

Nektar::LocalRegions::SegExp::SegExp ( )

private

Member Function Documentation

◆ CreateMatrix()

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

protected

Definition at line 1136 of file SegExp.cpp.

 {
     DNekScalMatSharedPtr returnval;
     NekDouble fac;
     LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
  
     ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,
              "Geometric information is not set up");
  
     switch (mkey.GetMatrixType())
     {
         case StdRegions::eMass:
         {
             if ((m_metricinfo->GetGtype() == SpatialDomains::eDeformed) ||
                 (mkey.GetNVarCoeff()))
             {
                 fac = 1.0;
                 goto UseLocRegionsMatrix;
             }
             else
             {
                 fac = (m_metricinfo->GetJac(ptsKeys))[0];
                 goto UseStdRegionsMatrix;
             }
         }
         break;
         case StdRegions::eInvMass:
         {
             if ((m_metricinfo->GetGtype() == SpatialDomains::eDeformed) ||
                 (mkey.GetNVarCoeff()))
             {
                 NekDouble one = 1.0;
                 StdRegions::StdMatrixKey masskey(StdRegions::eMass,
                                                  DetShapeType(), *this);
                 DNekMatSharedPtr mat = GenMatrix(masskey);
                 mat->Invert();
  
                 returnval =
                     MemoryManager<DNekScalMat>::AllocateSharedPtr(one, mat);
             }
             else
             {
                 fac = 1.0 / (m_metricinfo->GetJac(ptsKeys))[0];
                 goto UseStdRegionsMatrix;
             }
         }
         break;
         case StdRegions::eWeakDeriv0:
         case StdRegions::eWeakDeriv1:
         case StdRegions::eWeakDeriv2:
         {
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
                 mkey.GetNVarCoeff())
             {
                 fac = 1.0;
                 goto UseLocRegionsMatrix;
             }
             else
             {
                 int dir = 0;
                 switch (mkey.GetMatrixType())
                 {
                     case StdRegions::eWeakDeriv0:
                         dir = 0;
                         break;
                     case StdRegions::eWeakDeriv1:
                         ASSERTL1(m_geom->GetCoordim() >= 2,
                                  "Cannot call eWeakDeriv2 in a "
                                  "coordinate system which is not at "
                                  "least two-dimensional");
                         dir = 1;
                         break;
                     case StdRegions::eWeakDeriv2:
                         ASSERTL1(m_geom->GetCoordim() == 3,
                                  "Cannot call eWeakDeriv2 in a "
                                  "coordinate system which is not "
                                  "three-dimensional");
                         dir = 2;
                         break;
                     default:
                         break;
                 }
  
                 MatrixKey deriv0key(StdRegions::eWeakDeriv0,
                                     mkey.GetShapeType(), *this);
  
                 DNekMatSharedPtr WeakDerivStd = GetStdMatrix(deriv0key);
                 fac = m_metricinfo->GetDerivFactors(ptsKeys)[dir][0] *
                       m_metricinfo->GetJac(ptsKeys)[0];
  
                 returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(
                     fac, WeakDerivStd);
             }
         }
         break;
         case StdRegions::eLaplacian:
         {
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 fac = 1.0;
                 goto UseLocRegionsMatrix;
             }
             else
             {
                 int coordim = m_geom->GetCoordim();
                 fac         = 0.0;
                 for (int i = 0; i < coordim; ++i)
                 {
                     fac += m_metricinfo->GetDerivFactors(ptsKeys)[i][0] *
                            m_metricinfo->GetDerivFactors(ptsKeys)[i][0];
                 }
                 fac *= m_metricinfo->GetJac(ptsKeys)[0];
                 goto UseStdRegionsMatrix;
             }
         }
         break;
         case StdRegions::eHelmholtz:
         {
             NekDouble factor = mkey.GetConstFactor(StdRegions::eFactorLambda);
             MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
             DNekScalMat &MassMat = *(this->m_matrixManager[masskey]);
             MatrixKey lapkey(StdRegions::eLaplacian, mkey.GetShapeType(), *this,
                              mkey.GetConstFactors(), mkey.GetVarCoeffs());
             DNekScalMat &LapMat = *(this->m_matrixManager[lapkey]);
  
             int rows = LapMat.GetRows();
             int cols = LapMat.GetColumns();
  
             DNekMatSharedPtr helm =
                 MemoryManager<DNekMat>::AllocateSharedPtr(rows, cols);
  
             NekDouble one = 1.0;
             (*helm)       = LapMat + factor * MassMat;
  
             returnval =
                 MemoryManager<DNekScalMat>::AllocateSharedPtr(one, helm);
         }
         break;
         case StdRegions::eHybridDGHelmholtz:
         case StdRegions::eHybridDGLamToU:
         case StdRegions::eHybridDGLamToQ0:
         case StdRegions::eHybridDGHelmBndLam:
         {
             NekDouble one = 1.0;
  
             DNekMatSharedPtr mat = GenMatrix(mkey);
             returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one, mat);
         }
         break;
         case StdRegions::eInvHybridDGHelmholtz:
         {
             NekDouble one = 1.0;
  
             //                  StdRegions::StdMatrixKey
             //                  hkey(StdRegions::eHybridDGHelmholtz,
             //                                                DetShapeType(),*this,
             //                                                mkey.GetConstant(0),
             //                                                mkey.GetConstant(1));
             MatrixKey hkey(StdRegions::eHybridDGHelmholtz, DetShapeType(),
                            *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
             DNekMatSharedPtr mat = GenMatrix(hkey);
  
             mat->Invert();
             returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one, mat);
         }
         break;
         case StdRegions::eInterpGauss:
         {
             DNekMatSharedPtr m_Ix;
             Array<OneD, NekDouble> coords(1, 0.0);
             StdRegions::ConstFactorMap factors = mkey.GetConstFactors();
             int vertex = (int)factors[StdRegions::eFactorGaussVertex];
  
             coords[0] = (vertex == 0) ? -1.0 : 1.0;
  
             m_Ix = m_base[0]->GetI(coords);
             returnval =
                 MemoryManager<DNekScalMat>::AllocateSharedPtr(1.0, m_Ix);
         }
         break;
  
         UseLocRegionsMatrix:
         {
             DNekMatSharedPtr mat = GenMatrix(mkey);
             returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(fac, mat);
         }
         break;
         UseStdRegionsMatrix:
         {
             DNekMatSharedPtr mat = GetStdMatrix(mkey);
             returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(fac, mat);
         }
         break;
         default:
             NEKERROR(ErrorUtil::efatal, "Matrix creation not defined");
             break;
     }
  
     return returnval;
 }

◆ MultiplyByElmtInvMass()

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

private

Todo:: Same method exists in ExpList and everyone references ExpList::MultiplyByElmtInvMass. Remove this one?

Definition at line 1408 of file SegExp.cpp.

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

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, m_matrixManager, and Nektar::StdRegions::StdExpansion::m_ncoeffs.

◆ ReverseCoeffsAndSign()

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

private

Reverse the coefficients in a boundary interior expansion this routine is of use when we need the segment coefficients corresponding to a expansion in the reverse coordinate direction.

Definition at line 1367 of file SegExp.cpp.

 {
  
     int m;
     NekDouble sgn = 1;
  
     ASSERTL1(&inarray[0] != &outarray[0],
              "inarray and outarray can not be the same");
     switch (GetBasisType(0))
     {
         case LibUtilities::eModified_A:
             // Swap vertices
             outarray[0] = inarray[1];
             outarray[1] = inarray[0];
             // negate odd modes
             for (m = 2; m < m_ncoeffs; ++m)
             {
                 outarray[m] = sgn * inarray[m];
                 sgn         = -sgn;
             }
             break;
         case LibUtilities::eGLL_Lagrange:
         case LibUtilities::eGauss_Lagrange:
             for (m = 0; m < m_ncoeffs; ++m)
             {
                 outarray[m_ncoeffs - 1 - m] = inarray[m];
             }
             break;
         default:
             ASSERTL0(false, "This basis is not allowed in this method");
             break;
     }
 }

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.

Referenced by v_SetCoeffsToOrientation().

◆ v_AddVertexPhysVals()

void Nektar::LocalRegions::SegExp::v_AddVertexPhysVals	(	const int	vertex,
		const NekDouble &	inarray,
		Array< OneD, NekDouble > &	outarray
	)

protectedvirtual

Definition at line 673 of file SegExp.cpp.

 {
     size_t nquad = m_base[0]->GetNumPoints();
  
     if (m_base[0]->GetPointsType() != LibUtilities::eGaussGaussLegendre)
     {
         switch (vertex)
         {
             case 0:
                 outarray[0] += inarray;
                 break;
             case 1:
                 outarray[nquad - 1] += inarray;
                 break;
         }
     }
     else
     {
         StdRegions::ConstFactorMap factors;
         factors[StdRegions::eFactorGaussVertex] = vertex;
  
         StdRegions::StdMatrixKey key(StdRegions::eInterpGauss, DetShapeType(),
                                      *this, factors);
  
         DNekScalMatSharedPtr mat_gauss = m_matrixManager[key];
  
         Vmath::Svtvp(nquad, inarray,
                      mat_gauss->GetOwnedMatrix()->GetPtr().get(), 1,
                      &outarray[0], 1, &outarray[0], 1);
     }
 }

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eFactorGaussVertex, Nektar::LibUtilities::eGaussGaussLegendre, Nektar::StdRegions::eInterpGauss, Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, m_matrixManager, and Vmath::Svtvp().

◆ v_ComputeTraceNormal()

void Nektar::LocalRegions::SegExp::v_ComputeTraceNormal ( const int vertex )

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 854 of file SegExp.cpp.

 {
     int i;
     const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
         GetGeom()->GetMetricInfo();
     SpatialDomains::GeomType type = geomFactors->GetGtype();
     const Array<TwoD, const NekDouble> &gmat =
         geomFactors->GetDerivFactors(GetPointsKeys());
     int nqe       = 1;
     int vCoordDim = GetCoordim();
  
     m_traceNormals[vertex] = Array<OneD, Array<OneD, NekDouble>>(vCoordDim);
     Array<OneD, Array<OneD, NekDouble>> &normal = m_traceNormals[vertex];
     for (i = 0; i < vCoordDim; ++i)
     {
         normal[i] = Array<OneD, NekDouble>(nqe);
     }
  
     size_t nqb                     = nqe;
     size_t nbnd                    = vertex;
     m_elmtBndNormDirElmtLen[nbnd]  = Array<OneD, NekDouble>{nqb, 0.0};
     Array<OneD, NekDouble> &length = m_elmtBndNormDirElmtLen[nbnd];
  
     // Regular geometry case
     if ((type == SpatialDomains::eRegular) ||
         (type == SpatialDomains::eMovingRegular))
     {
         NekDouble vert;
         // Set up normals
         switch (vertex)
         {
             case 0:
                 for (i = 0; i < vCoordDim; ++i)
                 {
                     Vmath::Fill(nqe, -gmat[i][0], normal[i], 1);
                 }
                 break;
             case 1:
                 for (i = 0; i < vCoordDim; ++i)
                 {
                     Vmath::Fill(nqe, gmat[i][0], normal[i], 1);
                 }
                 break;
             default:
                 ASSERTL0(false, "point is out of range (point < 2)");
         }
  
         // normalise
         vert = 0.0;
         for (i = 0; i < vCoordDim; ++i)
         {
             vert += normal[i][0] * normal[i][0];
         }
         vert = 1.0 / sqrt(vert);
  
         Vmath::Fill(nqb, vert, length, 1);
  
         for (i = 0; i < vCoordDim; ++i)
         {
             Vmath::Smul(nqe, vert, normal[i], 1, normal[i], 1);
         }
     }
 }

References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LocalRegions::Expansion::m_elmtBndNormDirElmtLen, Nektar::LocalRegions::Expansion::m_traceNormals, Vmath::Smul(), and tinysimd::sqrt().

◆ v_CreateStdMatrix()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1127 of file SegExp.cpp.

 {
     LibUtilities::BasisKey bkey = m_base[0]->GetBasisKey();
     StdRegions::StdSegExpSharedPtr tmp =
         MemoryManager<StdSegExp>::AllocateSharedPtr(bkey);
  
     return tmp->GetStdMatrix(mkey);
 }

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

◆ v_DropLocStaticCondMatrix()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1117 of file SegExp.cpp.

 {
     m_staticCondMatrixManager.DeleteObject(mkey);
 }

References m_staticCondMatrixManager.

◆ v_ExtractDataToCoeffs()

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

overrideprotectedvirtual

Unpack data from input file assuming it comes from.

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 810 of file SegExp.cpp.

 {
     boost::ignore_unused(fromType);
  
     switch (m_base[0]->GetBasisType())
     {
         case LibUtilities::eModified_A:
         {
             int fillorder = min((int)nummodes[mode_offset], m_ncoeffs);
  
             Vmath::Zero(m_ncoeffs, coeffs, 1);
             Vmath::Vcopy(fillorder, &data[0], 1, &coeffs[0], 1);
         }
         break;
         case LibUtilities::eGLL_Lagrange:
         {
             // Assume that input is also Gll_Lagrange
             // but no way to check;
             LibUtilities::PointsKey f0(nummodes[mode_offset],
                                        LibUtilities::eGaussLobattoLegendre);
             LibUtilities::PointsKey t0(m_base[0]->GetNumModes(),
                                        LibUtilities::eGaussLobattoLegendre);
             LibUtilities::Interp1D(f0, data, t0, coeffs);
         }
         break;
         case LibUtilities::eGauss_Lagrange:
         {
             // Assume that input is also Gauss_Lagrange
             // but no way to check;
             LibUtilities::PointsKey f0(nummodes[mode_offset],
                                        LibUtilities::eGaussGaussLegendre);
             LibUtilities::PointsKey t0(m_base[0]->GetNumModes(),
                                        LibUtilities::eGaussGaussLegendre);
             LibUtilities::Interp1D(f0, data, t0, coeffs);
         }
         break;
         default:
             ASSERTL0(false, "basis is either not set up or not hierarchicial");
     }
 }

References ASSERTL0, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGaussGaussLegendre, Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::Interp1D(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Zero().

◆ v_FwdTrans()

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

overrideprotectedvirtual

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray.

Perform a forward transform using a Galerkin projection by taking the inner product of the physical points and multiplying by the inverse of the mass matrix using the Solve method of the standard matrix container holding the local mass matrix, i.e. \( {\bf \hat{u}} = {\bf M}^{-1} {\bf I} \) where \( {\bf I}[p] = \int^1_{-1} \phi_p(\xi_1) u(\xi_1) d\xi_1 \)

Inputs:

inarray: array of physical quadrature points to be transformed

Outputs:

outarray: updated array of expansion coefficients.

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 357 of file SegExp.cpp.

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

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::m_base, m_matrixManager, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_IProductWRTBase(), and Vmath::Vcopy().

Referenced by v_FwdTransBndConstrained().

◆ v_FwdTransBndConstrained()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 380 of file SegExp.cpp.

 {
     if (m_base[0]->Collocation())
     {
         Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
     }
     else
     {
         int nInteriorDofs = m_ncoeffs - 2;
         int offset        = 0;
  
         switch (m_base[0]->GetBasisType())
         {
             case LibUtilities::eGLL_Lagrange:
             {
                 offset = 1;
             }
             break;
             case LibUtilities::eGauss_Lagrange:
             {
                 nInteriorDofs = m_ncoeffs;
                 offset        = 0;
             }
             break;
             case LibUtilities::eModified_A:
             case LibUtilities::eModified_B:
             {
                 ASSERTL1(
                     m_base[0]->GetPointsType() ==
                             LibUtilities::eGaussLobattoLegendre ||
                         m_base[0]->GetPointsType() ==
                             LibUtilities::ePolyEvenlySpaced,
                     "Cannot use FwdTrans_BndConstrained with these points.");
                 offset = 2;
             }
             break;
             default:
                 ASSERTL0(false, "This type of FwdTrans is not defined"
                                 "for this expansion type");
         }
  
         fill(outarray.get(), outarray.get() + m_ncoeffs, 0.0);
  
         if (m_base[0]->GetBasisType() != LibUtilities::eGauss_Lagrange)
         {
  
             outarray[GetVertexMap(0)] = inarray[0];
             outarray[GetVertexMap(1)] = inarray[m_base[0]->GetNumPoints() - 1];
  
             if (m_ncoeffs > 2)
             {
                 // ideally, we would like to have tmp0 to be replaced
                 // by outarray (currently MassMatrixOp does not allow
                 // aliasing)
                 Array<OneD, NekDouble> tmp0(m_ncoeffs);
                 Array<OneD, NekDouble> tmp1(m_ncoeffs);
  
                 StdRegions::StdMatrixKey stdmasskey(StdRegions::eMass,
                                                     DetShapeType(), *this);
                 MassMatrixOp(outarray, tmp0, stdmasskey);
                 v_IProductWRTBase(inarray, tmp1);
  
                 Vmath::Vsub(m_ncoeffs, tmp1, 1, tmp0, 1, tmp1, 1);
  
                 // get Mass matrix inverse (only of interior DOF)
                 MatrixKey masskey(StdRegions::eMass, DetShapeType(), *this);
                 DNekScalMatSharedPtr matsys =
                     (m_staticCondMatrixManager[masskey])->GetBlock(1, 1);
  
                 Blas::Dgemv('N', nInteriorDofs, nInteriorDofs, matsys->Scale(),
                             &((matsys->GetOwnedMatrix())->GetPtr())[0],
                             nInteriorDofs, tmp1.get() + offset, 1, 0.0,
                             outarray.get() + offset, 1);
             }
         }
         else
         {
             SegExp::v_FwdTrans(inarray, outarray);
         }
     }
 }

◆ v_GenMatrix()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1337 of file SegExp.cpp.

 {
     DNekMatSharedPtr returnval;
  
     switch (mkey.GetMatrixType())
     {
         case StdRegions::eHybridDGHelmholtz:
         case StdRegions::eHybridDGLamToU:
         case StdRegions::eHybridDGLamToQ0:
         case StdRegions::eHybridDGLamToQ1:
         case StdRegions::eHybridDGLamToQ2:
         case StdRegions::eHybridDGHelmBndLam:
             returnval = Expansion1D::v_GenMatrix(mkey);
             break;
         default:
             returnval = StdSegExp::v_GenMatrix(mkey);
             break;
     }
  
     return returnval;
 }

References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion1D::v_GenMatrix().

◆ v_GetBasis()

const LibUtilities::BasisSharedPtr & Nektar::LocalRegions::SegExp::v_GetBasis ( int dir ) const

protectedvirtual

Definition at line 793 of file SegExp.cpp.

 {
     return GetBasis(dir);
 }

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

◆ v_GetCoord()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 615 of file SegExp.cpp.

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

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

◆ v_GetCoordim()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion1D.

Definition at line 767 of file SegExp.cpp.

 {
     return m_geom->GetCoordim();
 }

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

◆ v_GetCoords()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 630 of file SegExp.cpp.

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

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

◆ v_GetLinStdExp()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 759 of file SegExp.cpp.

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

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

◆ v_GetLocMatrix()

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

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1122 of file SegExp.cpp.

 {
     return m_matrixManager[mkey];
 }

References m_matrixManager.

◆ v_GetLocStaticCondMatrix()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1112 of file SegExp.cpp.

 {
     return m_staticCondMatrixManager[mkey];
 }

References m_staticCondMatrixManager.

◆ v_GetNcoeffs()

int Nektar::LocalRegions::SegExp::v_GetNcoeffs ( void ) const

protectedvirtual

Definition at line 788 of file SegExp.cpp.

 {
     return m_ncoeffs;
 }

References Nektar::StdRegions::StdExpansion::m_ncoeffs.

◆ v_GetNumPoints()

int Nektar::LocalRegions::SegExp::v_GetNumPoints ( const int dir ) const

protectedvirtual

Definition at line 783 of file SegExp.cpp.

 {
     return GetNumPoints(dir);
 }

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

◆ v_GetPhysNormals()

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

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 772 of file SegExp.cpp.

 {
     NEKERROR(ErrorUtil::efatal, "Got to SegExp");
     return NullNekDouble1DArray;
 }

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

◆ v_GetStdExp()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 753 of file SegExp.cpp.

 {
     return MemoryManager<StdRegions::StdSegExp>::AllocateSharedPtr(
         m_base[0]->GetBasisKey());
 }

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

◆ v_GetTracePhysMap()

void Nektar::LocalRegions::SegExp::v_GetTracePhysMap	(	const int	vertex,
		Array< OneD, int > &	map
	)

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 719 of file SegExp.cpp.

 {
     int nquad = m_base[0]->GetNumPoints();
  
     ASSERTL1(vertex == 0 || vertex == 1, "Vertex value should be 0 or 1");
  
     map = Array<OneD, int>(1);
  
     map[0] = vertex == 0 ? 0 : nquad - 1;
 }

References ASSERTL1, and Nektar::StdRegions::StdExpansion::m_base.

◆ v_GetTracePhysVals()

void Nektar::LocalRegions::SegExp::v_GetTracePhysVals	(	const int	edge,
		const StdRegions::StdExpansionSharedPtr &	EdgeExp,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		StdRegions::Orientation	orient
	)

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 706 of file SegExp.cpp.

 {
     boost::ignore_unused(EdgeExp, orient);
  
     NekDouble result;
     v_GetVertexPhysVals(edge, inarray, result);
     outarray[0] = result;
 }

References v_GetVertexPhysVals().

◆ v_GetVertexPhysVals()

void Nektar::LocalRegions::SegExp::v_GetVertexPhysVals	(	const int	vertex,
		const Array< OneD, const NekDouble > &	inarray,
		NekDouble &	outarray
	)

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 638 of file SegExp.cpp.

 {
     int nquad = m_base[0]->GetNumPoints();
  
     if (m_base[0]->GetPointsType() != LibUtilities::eGaussGaussLegendre)
     {
         switch (vertex)
         {
             case 0:
                 outarray = inarray[0];
                 break;
             case 1:
                 outarray = inarray[nquad - 1];
                 break;
         }
     }
     else
     {
         StdRegions::ConstFactorMap factors;
         factors[StdRegions::eFactorGaussVertex] = vertex;
  
         StdRegions::StdMatrixKey key(StdRegions::eInterpGauss, DetShapeType(),
                                      *this, factors);
  
         DNekScalMatSharedPtr mat_gauss = m_matrixManager[key];
  
         outarray =
             Blas::Ddot(nquad, mat_gauss->GetOwnedMatrix()->GetPtr().get(), 1,
                        &inarray[0], 1);
     }
 }

References Blas::Ddot(), Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eFactorGaussVertex, Nektar::LibUtilities::eGaussGaussLegendre, Nektar::StdRegions::eInterpGauss, Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and m_matrixManager.

Referenced by v_GetTracePhysVals().

◆ v_HelmholtzMatrixOp()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1013 of file SegExp.cpp.

 {
     int nquad = m_base[0]->GetNumPoints();
     const Array<TwoD, const NekDouble> &gmat =
         m_metricinfo->GetDerivFactors(GetPointsKeys());
     const NekDouble lambda = mkey.GetConstFactor(StdRegions::eFactorLambda);
  
     Array<OneD, NekDouble> physValues(nquad);
     Array<OneD, NekDouble> dPhysValuesdx(nquad);
     Array<OneD, NekDouble> wsp(m_ncoeffs);
  
     BwdTrans(inarray, physValues);
  
     // mass matrix operation
     v_IProductWRTBase((m_base[0]->GetBdata()), physValues, wsp, 1);
  
     // Laplacian matrix operation
     switch (m_geom->GetCoordim())
     {
         case 1:
         {
             PhysDeriv(physValues, dPhysValuesdx);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
             }
         }
         break;
         case 2:
         {
             Array<OneD, NekDouble> dPhysValuesdy(nquad);
  
             PhysDeriv(physValues, dPhysValuesdx, dPhysValuesdy);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[1][0], 1, dPhysValuesdy.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[1][0], dPhysValuesdy.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
         }
         break;
         case 3:
         {
             Array<OneD, NekDouble> dPhysValuesdy(nquad);
             Array<OneD, NekDouble> dPhysValuesdz(nquad);
  
             PhysDeriv(physValues, dPhysValuesdx, dPhysValuesdy, dPhysValuesdz);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[1][0], 1, dPhysValuesdy.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[2][0], 1, dPhysValuesdz.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[1][0], dPhysValuesdy.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[2][0], dPhysValuesdz.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
         }
         break;
         default:
             ASSERTL0(false, "Wrong number of dimensions");
             break;
     }
  
     v_IProductWRTBase(m_base[0]->GetDbdata(), dPhysValuesdx, outarray, 1);
     Blas::Daxpy(m_ncoeffs, lambda, wsp.get(), 1, outarray.get(), 1);
 }

References ASSERTL0, Nektar::StdRegions::StdExpansion::BwdTrans(), Blas::Daxpy(), Blas::Dscal(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::PhysDeriv(), v_IProductWRTBase(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ v_Integral()

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

overrideprotectedvirtual

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

Inputs:

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

Outputs:

returns \(\int^1_{-1} u(\xi_1)d \xi_1 \) where \(inarray[i] = u(\xi_{1i}) \)

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 109 of file SegExp.cpp.

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

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

◆ v_IProductWRTBase() [1/2]

void Nektar::LocalRegions::SegExp::v_IProductWRTBase	(	const Array< OneD, const NekDouble > &	base,
		const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	outarray,
		int	coll_check
	)

overrideprotectedvirtual

Inner product of inarray over region with respect to expansion basis base and return in outarray.

Calculate \( I[p] = \int^{1}_{-1} \phi_p(\xi_1) u(\xi_1) d\xi_1 = \sum_{i=0}^{nq-1} \phi_p(\xi_{1i}) u(\xi_{1i}) w_i \) where \( outarray[p] = I[p], inarray[i] = u(\xi_{1i}), base[p*nq+i] = \phi_p(\xi_{1i}) \).

Inputs:

base: an array definiing the local basis for the inner product usually passed from Basis->get_bdata() or Basis->get_Dbdata()
inarray: physical point array of function to be integrated \( u(\xi_1) \)
coll_check: Flag to identify when a Basis->collocation() call should be performed to see if this is a GLL_Lagrange basis with a collocation property. (should be set to 0 if taking the inner product with respect to the derivative of basis)

Output:

outarray: array of coefficients representing the inner product of function with ever mode in the exapnsion

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 516 of file SegExp.cpp.

 {
     int nquad0                       = m_base[0]->GetNumPoints();
     Array<OneD, const NekDouble> jac = m_metricinfo->GetJac(GetPointsKeys());
     Array<OneD, NekDouble> tmp(nquad0);
  
     // multiply inarray with Jacobian
     if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
     {
         Vmath::Vmul(nquad0, jac, 1, inarray, 1, tmp, 1);
     }
     else
     {
         Vmath::Smul(nquad0, jac[0], inarray, 1, tmp, 1);
     }
     StdSegExp::v_IProductWRTBase(base, tmp, outarray, coll_check);
 }

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

◆ v_IProductWRTBase() [2/2]

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

overrideprotectedvirtual

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

Wrapper call to SegExp::IProduct_WRT_B

Input:

inarray: array of function evaluated at the physical collocation points

Output:

outarray: array of inner product with respect to each basis over region

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 483 of file SegExp.cpp.

 {
     v_IProductWRTBase(m_base[0]->GetBdata(), inarray, outarray, 1);
 }

References Nektar::StdRegions::StdExpansion::m_base.

Referenced by v_FwdTrans(), v_FwdTransBndConstrained(), v_HelmholtzMatrixOp(), v_IProductWRTDerivBase(), v_LaplacianMatrixOp(), and v_NormVectorIProductWRTBase().

◆ v_IProductWRTDerivBase()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 536 of file SegExp.cpp.

 {
     ASSERTL1(dir < 3, "input dir is out of range");
     ASSERTL1((dir == 2) ? m_geom->GetCoordim() == 3 : true,
              "input dir is out of range");
  
     int nquad = m_base[0]->GetNumPoints();
     const Array<TwoD, const NekDouble> &gmat =
         m_metricinfo->GetDerivFactors(GetPointsKeys());
  
     Array<OneD, NekDouble> tmp1(nquad);
  
     if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
     {
         Vmath::Vmul(nquad, gmat[dir], 1, inarray, 1, tmp1, 1);
     }
     else
     {
         Vmath::Smul(nquad, gmat[dir][0], inarray, 1, tmp1, 1);
     }
  
     v_IProductWRTBase(m_base[0]->GetDbdata(), tmp1, outarray, 1);
 }

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

◆ v_LaplacianMatrixOp()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 922 of file SegExp.cpp.

 {
     boost::ignore_unused(mkey);
  
     int nquad = m_base[0]->GetNumPoints();
     const Array<TwoD, const NekDouble> &gmat =
         m_metricinfo->GetDerivFactors(GetPointsKeys());
  
     Array<OneD, NekDouble> physValues(nquad);
     Array<OneD, NekDouble> dPhysValuesdx(nquad);
  
     BwdTrans(inarray, physValues);
  
     // Laplacian matrix operation
     switch (m_geom->GetCoordim())
     {
         case 1:
         {
             PhysDeriv(physValues, dPhysValuesdx);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
             }
         }
         break;
         case 2:
         {
             Array<OneD, NekDouble> dPhysValuesdy(nquad);
  
             PhysDeriv(physValues, dPhysValuesdx, dPhysValuesdy);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[1][0], 1, dPhysValuesdy.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[1][0], dPhysValuesdy.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
         }
         break;
         case 3:
         {
             Array<OneD, NekDouble> dPhysValuesdy(nquad);
             Array<OneD, NekDouble> dPhysValuesdz(nquad);
  
             PhysDeriv(physValues, dPhysValuesdx, dPhysValuesdy, dPhysValuesdz);
  
             // multiply with the proper geometric factors
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 Vmath::Vmul(nquad, &gmat[0][0], 1, dPhysValuesdx.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[1][0], 1, dPhysValuesdy.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
                 Vmath::Vvtvp(nquad, &gmat[2][0], 1, dPhysValuesdz.get(), 1,
                              dPhysValuesdx.get(), 1, dPhysValuesdx.get(), 1);
             }
             else
             {
                 Blas::Dscal(nquad, gmat[0][0], dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[1][0], dPhysValuesdy.get(), 1,
                             dPhysValuesdx.get(), 1);
                 Blas::Daxpy(nquad, gmat[2][0], dPhysValuesdz.get(), 1,
                             dPhysValuesdx.get(), 1);
             }
         }
         break;
         default:
             ASSERTL0(false, "Wrong number of dimensions");
             break;
     }
  
     v_IProductWRTBase(m_base[0]->GetDbdata(), dPhysValuesdx, outarray, 1);
 }

References ASSERTL0, Nektar::StdRegions::StdExpansion::BwdTrans(), Blas::Daxpy(), Blas::Dscal(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::PhysDeriv(), v_IProductWRTBase(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ v_MetricInfoType()

SpatialDomains::GeomType Nektar::LocalRegions::SegExp::v_MetricInfoType ( )

protectedvirtual

Definition at line 778 of file SegExp.cpp.

 {
     return m_metricinfo->GetGtype();
 }

References Nektar::LocalRegions::Expansion::m_metricinfo.

◆ v_NormVectorIProductWRTBase() [1/2]

void Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase	(	const Array< OneD, const Array< OneD, NekDouble >> &	Fvec,
		Array< OneD, NekDouble > &	outarray
	)

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 580 of file SegExp.cpp.

 {
     NormVectorIProductWRTBase(Fvec[0], Fvec[1], outarray);
 }

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

◆ v_NormVectorIProductWRTBase() [2/2]

void Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase	(	const Array< OneD, const NekDouble > &	Fx,
		const Array< OneD, const NekDouble > &	Fy,
		Array< OneD, NekDouble > &	outarray
	)

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 562 of file SegExp.cpp.

 {
     int nq = m_base[0]->GetNumPoints();
     Array<OneD, NekDouble> Fn(nq);
  
     // @TODO: This routine no longer makes sense as a normal is not unique to an
     // edge
     const Array<OneD, const Array<OneD, NekDouble>> &normals =
         GetLeftAdjacentElementExp()->GetTraceNormal(
             GetLeftAdjacentElementTrace());
     Vmath::Vmul(nq, &Fx[0], 1, &normals[0][0], 1, &Fn[0], 1);
     Vmath::Vvtvp(nq, &Fy[0], 1, &normals[1][0], 1, &Fn[0], 1, &Fn[0], 1);
  
     v_IProductWRTBase(Fn, outarray);
 }

References Nektar::LocalRegions::Expansion::GetLeftAdjacentElementExp(), Nektar::LocalRegions::Expansion::GetLeftAdjacentElementTrace(), Nektar::StdRegions::StdExpansion::m_base, v_IProductWRTBase(), Vmath::Vmul(), and Vmath::Vvtvp().

◆ v_NumBndryCoeffs()

int Nektar::LocalRegions::SegExp::v_NumBndryCoeffs ( ) const

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 798 of file SegExp.cpp.

 {
     return 2;
 }

◆ v_NumDGBndryCoeffs()

int Nektar::LocalRegions::SegExp::v_NumDGBndryCoeffs ( ) const

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 803 of file SegExp.cpp.

 {
     return 2;
 }

◆ v_PhysDeriv() [1/2]

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

overrideprotectedvirtual

Evaluate the derivative \( d/d{\xi_1} \) at the physical quadrature points given by inarray and return in outarray.

This is a wrapper around StdExpansion1D::Tensor_Deriv

Input:

n: number of derivatives to be evaluated where \( n \leq dim\)
inarray: array of function evaluated at the quadrature points

Output:

outarray: array of the derivatives \( du/d_{\xi_1}|_{\xi_{1i}} d\xi_1/dx, du/d_{\xi_1}|_{\xi_{1i}} d\xi_1/dy, du/d_{\xi_1}|_{\xi_{1i}} d\xi_1/dz, \) depending on value of dim

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 156 of file SegExp.cpp.

 {
     int nquad0 = m_base[0]->GetNumPoints();
     Array<TwoD, const NekDouble> gmat =
         m_metricinfo->GetDerivFactors(GetPointsKeys());
     Array<OneD, NekDouble> diff(nquad0);
  
     // StdExpansion1D::PhysTensorDeriv(inarray,diff);
     PhysTensorDeriv(inarray, diff);
     if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
     {
         if (out_d0.size())
         {
             Vmath::Vmul(nquad0, &gmat[0][0], 1, &diff[0], 1, &out_d0[0], 1);
         }
  
         if (out_d1.size())
         {
             Vmath::Vmul(nquad0, &gmat[1][0], 1, &diff[0], 1, &out_d1[0], 1);
         }
  
         if (out_d2.size())
         {
             Vmath::Vmul(nquad0, &gmat[2][0], 1, &diff[0], 1, &out_d2[0], 1);
         }
     }
     else
     {
         if (out_d0.size())
         {
             Vmath::Smul(nquad0, gmat[0][0], diff, 1, out_d0, 1);
         }
  
         if (out_d1.size())
         {
             Vmath::Smul(nquad0, gmat[1][0], diff, 1, out_d1, 1);
         }
  
         if (out_d2.size())
         {
             Vmath::Smul(nquad0, gmat[2][0], diff, 1, out_d2, 1);
         }
     }
 }

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion1D::PhysTensorDeriv(), Vmath::Smul(), and Vmath::Vmul().

Referenced by v_PhysDeriv_n().

◆ v_PhysDeriv() [2/2]

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

overrideprotectedvirtual

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

See also: StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 300 of file SegExp.cpp.

 {
     switch (dir)
     {
         case 0:
         {
             PhysDeriv(inarray, outarray, NullNekDouble1DArray,
                       NullNekDouble1DArray);
         }
         break;
         case 1:
         {
             PhysDeriv(inarray, NullNekDouble1DArray, outarray,
                       NullNekDouble1DArray);
         }
         break;
         case 2:
         {
             PhysDeriv(inarray, NullNekDouble1DArray, NullNekDouble1DArray,
                       outarray);
         }
         break;
         default:
         {
             ASSERTL1(false, "input dir is out of range");
         }
         break;
     }
 }

References ASSERTL1, Nektar::NullNekDouble1DArray, and Nektar::StdRegions::StdExpansion::PhysDeriv().

◆ v_PhysDeriv_n()

void Nektar::LocalRegions::SegExp::v_PhysDeriv_n	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_dn
	)

overrideprotectedvirtual

Evaluate the derivative normal to a line: \( d/dn=\frac{spacedim}{||normal||}d/d{\xi} \). The derivative is calculated performing the product \( du/d{s}=\nabla u \cdot normal \).

Parameters

inarray	function to derive
out_dn	result of the derivative operation

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 251 of file SegExp.cpp.

 {
     int nquad0 = m_base[0]->GetNumPoints();
     Array<TwoD, const NekDouble> gmat =
         m_metricinfo->GetDerivFactors(GetPointsKeys());
     int coordim = m_geom->GetCoordim();
     Array<OneD, NekDouble> out_dn_tmp(nquad0, 0.0);
     switch (coordim)
     {
         case 2:
  
             Array<OneD, NekDouble> inarray_d0(nquad0);
             Array<OneD, NekDouble> inarray_d1(nquad0);
  
             v_PhysDeriv(inarray, inarray_d0, inarray_d1);
             Array<OneD, Array<OneD, NekDouble>> normals;
             normals = Array<OneD, Array<OneD, NekDouble>>(coordim);
             cout << "der_n" << endl;
             for (int k = 0; k < coordim; ++k)
             {
                 normals[k] = Array<OneD, NekDouble>(nquad0);
             }
             // @TODO: this routine no longer makes sense, since normals are not
             // unique on
             //        an edge
             //        normals = GetMetricInfo()->GetNormal();
             for (int i = 0; i < nquad0; i++)
             {
                 cout << "nx= " << normals[0][i] << "  ny=" << normals[1][i]
                      << endl;
             }
             ASSERTL0(normals != NullNekDoubleArrayOfArray,
                      "normal vectors do not exist: check if a"
                      "boundary region is defined as I ");
             // \nabla u \cdot normal
             Vmath::Vmul(nquad0, normals[0], 1, inarray_d0, 1, out_dn_tmp, 1);
             Vmath::Vadd(nquad0, out_dn_tmp, 1, out_dn, 1, out_dn, 1);
             Vmath::Zero(nquad0, out_dn_tmp, 1);
             Vmath::Vmul(nquad0, normals[1], 1, inarray_d1, 1, out_dn_tmp, 1);
             Vmath::Vadd(nquad0, out_dn_tmp, 1, out_dn, 1, out_dn, 1);
  
             for (int i = 0; i < nquad0; i++)
             {
                 cout << "deps/dx =" << inarray_d0[i]
                      << "  deps/dy=" << inarray_d1[i] << endl;
             }
     }
 }

References ASSERTL0, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::NullNekDoubleArrayOfArray, v_PhysDeriv(), Vmath::Vadd(), Vmath::Vmul(), and Vmath::Zero().

◆ v_PhysDeriv_s()

void Nektar::LocalRegions::SegExp::v_PhysDeriv_s	(	const Array< OneD, const NekDouble > &	inarray,
		Array< OneD, NekDouble > &	out_ds
	)

overrideprotectedvirtual

Evaluate the derivative along a line: \( d/ds=\frac{spacedim}{||tangent||}d/d{\xi} \). The derivative is calculated performing the product \( du/d{s}=\nabla u \cdot tangent \).

Parameters

inarray	function to derive
out_ds	result of the derivative operation

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 212 of file SegExp.cpp.

 {
     int nquad0  = m_base[0]->GetNumPoints();
     int coordim = m_geom->GetCoordim();
     Array<OneD, NekDouble> diff(nquad0);
     // this operation is needed if you put out_ds==inarray
     Vmath::Zero(nquad0, out_ds, 1);
     switch (coordim)
     {
         case 2:
             // diff= dU/de
             Array<OneD, NekDouble> diff(nquad0);
  
             PhysTensorDeriv(inarray, diff);
  
             // get dS/de= (Jac)^-1
             Array<OneD, NekDouble> Jac = m_metricinfo->GetJac(GetPointsKeys());
             if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
             {
                 // calculate the derivative as (dU/de)*(Jac)^-1
                 Vmath::Vdiv(nquad0, diff, 1, Jac, 1, out_ds, 1);
             }
             else
             {
                 NekDouble invJac = 1 / Jac[0];
                 Vmath::Smul(nquad0, invJac, diff, 1, out_ds, 1);
             }
     }
 }

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_geom, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion1D::PhysTensorDeriv(), Vmath::Smul(), Vmath::Vdiv(), and Vmath::Zero().

◆ v_PhysEvaluate()

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

overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion1D.

Definition at line 604 of file SegExp.cpp.

 {
     Array<OneD, NekDouble> Lcoord = Array<OneD, NekDouble>(1);
  
     ASSERTL0(m_geom, "m_geom not defined");
     m_geom->GetLocCoords(coord, Lcoord);
  
     return StdSegExp::v_PhysEvaluate(Lcoord, physvals);
 }

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

◆ v_SetCoeffsToOrientation()

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

overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 734 of file SegExp.cpp.

 {
  
     if (dir == StdRegions::eBackwards)
     {
         if (&inarray[0] != &outarray[0])
         {
             Array<OneD, NekDouble> intmp(inarray);
             ReverseCoeffsAndSign(intmp, outarray);
         }
         else
         {
             ReverseCoeffsAndSign(inarray, outarray);
         }
     }
 }

References Nektar::StdRegions::eBackwards, and ReverseCoeffsAndSign().

◆ v_StdPhysEvaluate()

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

overrideprotectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 596 of file SegExp.cpp.

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

Member Data Documentation

◆ m_matrixManager

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

private

Definition at line 238 of file SegExp.h.

Referenced by CreateMatrix(), MultiplyByElmtInvMass(), v_AddVertexPhysVals(), v_FwdTrans(), v_GetLocMatrix(), and v_GetVertexPhysVals().

◆ m_staticCondMatrixManager

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

private

Definition at line 240 of file SegExp.h.

Referenced by v_DropLocStaticCondMatrix(), v_FwdTransBndConstrained(), and v_GetLocStaticCondMatrix().

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ SegExp() [1/3]

◆ SegExp() [2/3]

◆ ~SegExp()

◆ SegExp() [3/3]

Member Function Documentation

◆ CreateMatrix()

◆ MultiplyByElmtInvMass()

◆ ReverseCoeffsAndSign()

◆ v_AddVertexPhysVals()

◆ v_ComputeTraceNormal()

◆ v_CreateStdMatrix()

◆ v_DropLocStaticCondMatrix()

◆ v_ExtractDataToCoeffs()

◆ v_FwdTrans()

◆ v_FwdTransBndConstrained()

◆ v_GenMatrix()

◆ v_GetBasis()

◆ v_GetCoord()

◆ v_GetCoordim()

◆ v_GetCoords()

◆ v_GetLinStdExp()

◆ v_GetLocMatrix()

◆ v_GetLocStaticCondMatrix()

◆ v_GetNcoeffs()

◆ v_GetNumPoints()

◆ v_GetPhysNormals()

◆ v_GetStdExp()

◆ v_GetTracePhysMap()

◆ v_GetTracePhysVals()

◆ v_GetVertexPhysVals()

◆ v_HelmholtzMatrixOp()

◆ v_Integral()

◆ v_IProductWRTBase() [1/2]

◆ v_IProductWRTBase() [2/2]

◆ v_IProductWRTDerivBase()

◆ v_LaplacianMatrixOp()

◆ v_MetricInfoType()

◆ v_NormVectorIProductWRTBase() [1/2]

◆ v_NormVectorIProductWRTBase() [2/2]

◆ v_NumBndryCoeffs()

◆ v_NumDGBndryCoeffs()

◆ v_PhysDeriv() [1/2]

◆ v_PhysDeriv() [2/2]

◆ v_PhysDeriv_n()

◆ v_PhysDeriv_s()

◆ v_PhysEvaluate()

◆ v_SetCoeffsToOrientation()

◆ v_StdPhysEvaluate()

Member Data Documentation

◆ m_matrixManager

◆ m_staticCondMatrixManager