#include <SegExp.h>

Inheritance diagram for Nektar::LocalRegions::SegExp:

Collaboration 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	GetNedges () const
	This function returns the number of edges of the expansion domain. More...

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

int	GetTotalEdgeIntNcoeffs () const

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

int	DetCartesianDirOfEdge (const int edge)

const LibUtilities::BasisKey	DetEdgeBasisKey (const int i) const

const LibUtilities::BasisKey	DetFaceBasisKey (const int i, const int k) const

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

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

int	GetFaceIntNcoeffs (const int i) const

int	GetTotalFaceIntNcoeffs () const

LibUtilities::PointsKey	GetFacePointsKey (const int i, const int j) const

int	NumBndryCoeffs (void) const

int	NumDGBndryCoeffs (void) const

LibUtilities::BasisType	GetEdgeBasisType (const int i) const
	This function returns the type of expansion basis on the i-th edge. More...

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

int	GetNfaces () const
	This function returns the number of faces of the expansion domain. More...

int	GetNtrace () 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...

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

int	GetShapeDimension () const

bool	IsBoundaryInteriorExpansion ()

bool	IsNodalNonTensorialExp ()

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

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

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

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

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

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

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

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

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)

IndexMapValuesSharedPtr	GetIndexMap (const IndexMapKey &ikey)

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

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

virtual void	SetUpPhysNormals (const int edge)

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

DNekScalBlkMatSharedPtr	GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

void	DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)

StdRegions::Orientation	GetForient (int face)

StdRegions::Orientation	GetEorient (int edge)

StdRegions::Orientation	GetPorient (int point)

StdRegions::Orientation	GetCartesianEorient (int edge)

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

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

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

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

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	GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

void	GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

void	GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)

void	GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)

void	GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...

void	GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

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

void	GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)

void	GetEdgeQFactors (const int edge, 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	GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)

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	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)

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

void	AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)

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...

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

const boost::shared_ptr< SpatialDomains::GeomFactors > &	GetMetricInfo (void) const

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

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

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

virtual StdRegions::Orientation	v_GetForient (int face)

virtual StdRegions::Orientation	v_GetEorient (int edge)

virtual StdRegions::Orientation	v_GetCartesianEorient (int edge)

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 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 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 NormalVector &	GetEdgeNormal (const int edge) const

void	ComputeEdgeNormal (const int edge)

void	NegateEdgeNormal (const int edge)

bool	EdgeNormalNegated (const int edge)

void	ComputeFaceNormal (const int face)

void	NegateFaceNormal (const int face)

void	ComputeVertexNormal (const int vertex)

const NormalVector &	GetFaceNormal (const int face) const

const NormalVector &	GetVertexNormal (const int vertex) const

const NormalVector &	GetSurfaceNormal (const int id) const

const LibUtilities::PointsKeyVector	GetPointsKeys () const

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

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

DNekMatSharedPtr	BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)

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

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

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

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)

Expansion2DSharedPtr	GetLeftAdjacentElementExp () const

Expansion2DSharedPtr	GetRightAdjacentElementExp () const

int	GetLeftAdjacentElementEdge () const

int	GetRightAdjacentElementEdge () const

void	SetAdjacentElementExp (int edge, Expansion2DSharedPtr &e)

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 ()

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 ()

virtual const SpatialDomains::GeomFactorsSharedPtr &	v_GetMetricInfo () const

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

DNekMatSharedPtr	BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)

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

void	AddFaceNormBoundaryInt (const int face, const boost::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)

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

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

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

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

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

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

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

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

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

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

virtual StdRegions::StdExpansionSharedPtr	v_GetStdExp (void) const

virtual int	v_GetCoordim ()

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

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

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

virtual int	v_NumDGBndryCoeffs () const

virtual void	v_ComputeVertexNormal (const int vertex)

virtual StdRegions::Orientation	v_GetPorient (int point)

virtual SpatialDomains::GeomType	v_MetricInfoType ()

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

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

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

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

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

DNekScalMatSharedPtr	CreateMatrix (const MatrixKey &mkey)

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

DNekScalBlkMatSharedPtr	CreateStaticCondMatrix (const MatrixKey &mkey)

virtual DNekScalMatSharedPtr	v_GetLocMatrix (const MatrixKey &mkey)

virtual DNekScalBlkMatSharedPtr	v_GetLocStaticCondMatrix (const MatrixKey &mkey)

void	v_DropLocStaticCondMatrix (const MatrixKey &mkey)

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_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 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...

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...

IndexMapValuesSharedPtr	CreateIndexMap (const IndexMapKey &ikey)
	Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. 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	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)

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, Array< OneD, NekDouble > &coeffs)

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

void	ComputeQuadratureMetric ()

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

virtual void	v_ComputeLaplacianMetric ()

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 boost::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 boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

virtual void	v_AddFaceNormBoundaryInt (const int face, const boost::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)

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::StdExpansion1D
std::map< int, NormalVector >	m_vertexNormals

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

LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess >	m_IndexMapManager

Protected Attributes inherited from Nektar::LocalRegions::Expansion
SpatialDomains::GeometrySharedPtr	m_geom

SpatialDomains::GeomFactorsSharedPtr	m_metricinfo

MetricMap	m_metrics

Detailed Description

Defines a Segment local expansion.

Definition at line 52 of file SegExp.h.

Constructor & Destructor Documentation

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 57 of file SegExp.cpp.

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

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

Copy Constructor.

Parameters

S	Existing segment to duplicate.

Definition at line 78 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)
         {
         }

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

Definition at line 93 of file SegExp.cpp.

94 {

95 }

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

private

Member Function Documentation

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

protected

Definition at line 1177 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;
         }

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

protected

Todo:: Really need a constructor which takes Arrays

Definition at line 1411 of file SegExp.cpp.

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

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

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 1600 of file SegExp.cpp.

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

         {
             // 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;
         }

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 1558 of file SegExp.cpp.

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().

         {
 
             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;
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 864 of file SegExp.cpp.

References ASSERTL0, Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion1D::m_vertexNormals, and Vmath::Smul().

         {
             int i;
             const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
                 GetGeom()->GetMetricInfo();
             SpatialDomains::GeomType type = geomFactors->GetGtype();
             const Array<TwoD, const NekDouble> &gmat =
                                 geomFactors->GetDerivFactors(GetPointsKeys());
             int nqe = m_base[0]->GetNumPoints();
             int vCoordDim = GetCoordim();
 
             m_vertexNormals[vertex] =
                 Array<OneD, Array<OneD, NekDouble> >(vCoordDim);
             Array<OneD, Array<OneD, NekDouble> > &normal =
                 m_vertexNormals[vertex];
             for (i = 0; i < vCoordDim; ++i)
             {
                 normal[i] = Array<OneD, NekDouble>(nqe);
             }
 
             // 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);
                 for (i = 0; i < vCoordDim; ++i)
                 {
                     Vmath::Smul(nqe, vert, normal[i], 1, normal[i], 1);
                 }
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1166 of file SegExp.cpp.

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

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

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1155 of file SegExp.cpp.

References m_staticCondMatrixManager.

         {
             m_staticCondMatrixManager.DeleteObject(mkey);
         }

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

protectedvirtual

Unpack data from input file assuming it comes from.

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 820 of file SegExp.cpp.

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().

         {
             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 p0(
                         nummodes[mode_offset],
                         LibUtilities::eGaussLobattoLegendre);
                     LibUtilities::Interp1D(
                         p0,data, m_base[0]->GetPointsKey(), coeffs);
                 }
                     break;
                 case LibUtilities::eGauss_Lagrange:
                 {
                     // Assume that input is also Gauss_Lagrange
                     // but no way to check;
                     LibUtilities::PointsKey p0(
                         nummodes[mode_offset],
                         LibUtilities::eGaussGaussLegendre);
                     LibUtilities::Interp1D(
                         p0,data, m_base[0]->GetPointsKey(), coeffs);
                 }
                     break;
                 default:
                     ASSERTL0(false,
                         "basis is either not set up or not hierarchicial");
             }
         }

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

protectedvirtual

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in 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 375 of file SegExp.cpp.

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_FwdTrans_BndConstrained().

         {
             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;
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 399 of file SegExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::StdRegions::eMass, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetVertexMap(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, m_staticCondMatrixManager, Nektar::StdRegions::StdExpansion::MassMatrixOp(), v_FwdTrans(), v_IProductWRTBase(), Vmath::Vcopy(), and Vmath::Vsub().

         {
             if(m_base[0]->Collocation())
             {
                 Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
             }
             else
             {
                 int nInteriorDofs = m_ncoeffs-2;
                 int offset;
 
                 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:
                         {
                             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);
                     
                 }
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1387 of file SegExp.cpp.

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().

         {
             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;
         }

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

protectedvirtual

Definition at line 800 of file SegExp.cpp.

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

         {
             return GetBasis(dir);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 670 of file SegExp.cpp.

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

         {
             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);
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion1D.

Definition at line 774 of file SegExp.cpp.

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

         {
             return m_geom->GetCoordim();
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 686 of file SegExp.cpp.

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

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

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

protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1160 of file SegExp.cpp.

References m_matrixManager.

         {
             return m_matrixManager[mkey];
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1149 of file SegExp.cpp.

References m_staticCondMatrixManager.

         {
             return m_staticCondMatrixManager[mkey];
         }

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

protectedvirtual

Definition at line 795 of file SegExp.cpp.

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

         {
             return m_ncoeffs;
         }

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

protectedvirtual

Definition at line 790 of file SegExp.cpp.

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

         {
             return GetNumPoints(dir);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 779 of file SegExp.cpp.

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

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

StdRegions::Orientation Nektar::LocalRegions::SegExp::v_GetPorient ( int point )

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 762 of file SegExp.cpp.

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

         {
             return m_geom->GetPorient(point);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 768 of file SegExp.cpp.

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

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

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 695 of file SegExp.cpp.

References Vmath::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.

         {
             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);
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 1034 of file SegExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::BwdTrans(), 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().

         {
             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);
         }

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

protectedvirtual

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 116 of file SegExp.cpp.

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

         {
             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;
         }

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

protectedvirtual

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 501 of file SegExp.cpp.

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

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

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

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
	)

protectedvirtual

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 536 of file SegExp.cpp.

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

         {
             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);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 560 of file SegExp.cpp.

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().

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

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 928 of file SegExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::BwdTrans(), 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().

         {
             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);
         }

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

protectedvirtual

Definition at line 785 of file SegExp.cpp.

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

         {
             return m_metricinfo->GetGtype();
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 619 of file SegExp.cpp.

References Nektar::StdRegions::StdExpansion::GetEdgeNormal(), Nektar::LocalRegions::Expansion1D::GetLeftAdjacentElementEdge(), Nektar::LocalRegions::Expansion1D::GetLeftAdjacentElementExp(), Nektar::StdRegions::StdExpansion::m_base, v_IProductWRTBase(), Vmath::Vmul(), and Vmath::Vvtvp().

         {
             int nq = m_base[0]->GetNumPoints();
             Array<OneD, NekDouble > Fn(nq);
 //            cout << "I am segment " << GetGeom()->GetGlobalID() << endl;
 //            cout << "I want edge " << GetLeftAdjacentElementEdge() << endl;
 // @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()->
                         GetEdgeNormal(GetLeftAdjacentElementEdge());
             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);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 806 of file SegExp.cpp.

         {
             return 2;
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 812 of file SegExp.cpp.

         {
             return 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`
	)

protectedvirtual

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 164 of file SegExp.cpp.

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().

         {
             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.num_elements())
                 {
                     Vmath::Vmul(nquad0,&gmat[0][0],1,&diff[0],1,
                                 &out_d0[0],1);
                 }
 
                 if(out_d1.num_elements())
                 {
                     Vmath::Vmul(nquad0,&gmat[1][0],1,&diff[0],1,
                                 &out_d1[0],1);
                 }
 
                 if(out_d2.num_elements())
                 {
                     Vmath::Vmul(nquad0,&gmat[2][0],1,&diff[0],1,
                                 &out_d2[0],1);
                 }
             }
             else 
             {
                 if(out_d0.num_elements())
                 {
                     Vmath::Smul(nquad0, gmat[0][0], diff, 1,
                                 out_d0, 1);
                 }
 
                 if(out_d1.num_elements())
                 {
                     Vmath::Smul(nquad0, gmat[1][0], diff, 1,
                                 out_d1, 1);
                 }
 
                 if(out_d2.num_elements())
                 {
                     Vmath::Smul(nquad0, gmat[2][0], diff, 1,
                                 out_d2, 1);
                 }
             }
         }

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

protectedvirtual

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

See also: StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 317 of file SegExp.cpp.

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

         {
             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;
             }
         }

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

protectedvirtual

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 267 of file SegExp.cpp.

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().

         {
             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;
                     }
 
 
             }
 
         }

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

protectedvirtual

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 227 of file SegExp.cpp.

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().

         {
             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);
                     }
             }
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdSegExp.

Definition at line 657 of file SegExp.cpp.

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

         {
             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);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 735 of file SegExp.cpp.

         {
             v_SetCoeffsToOrientation(dir,coeffs,coeffs);
         }

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

protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 742 of file SegExp.cpp.

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

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

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

protectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 649 of file SegExp.cpp.

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

Member Data Documentation

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

private

Definition at line 235 of file SegExp.h.

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

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

private

Definition at line 237 of file SegExp.h.

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

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation