Nektar++
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Nektar::LocalRegions::Expansion Class Reference

#include <Expansion.h>

Inheritance diagram for Nektar::LocalRegions::Expansion:
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Public Member Functions

 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 ()
 
const SpatialDomains::GeomFactorsSharedPtrGetMetricInfo () const
 
DNekMatSharedPtr BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
 
DNekMatSharedPtr BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
 
void ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
 
void AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
void AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
void DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
 
NekDouble VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)
 
- 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::BasisSharedPtrGetBasis (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
 
int GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge/face. More...
 
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...
 
std::shared_ptr< StdExpansionGetStdExp (void) const
 
std::shared_ptr< StdExpansionGetLinStdExp (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)
 
void IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
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, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
StdRegions::Orientation GetForient (int face)
 
StdRegions::Orientation GetEorient (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)
 
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 GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)
 
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, int P=-1)
 
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 std::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetTracePhysVals (const int edge, const std::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 std::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)
 
void GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)
 
void GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix \(\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}\) More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
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...
 
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 const Array< OneD, const NekDouble > & v_GetPhysNormals (void)
 
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void v_SetUpPhysNormals (const int edge)
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual StdRegions::Orientation v_GetEorient (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 \( L_2\) error, \( | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
 
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete \( H^1\) error, \( | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 \) where \( u_{exact}\) is given by the array sol. More...
 
const NormalVectorGetEdgeNormal (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)
 
bool FaceNormalNegated (const int face)
 
void ComputeVertexNormal (const int vertex)
 
void NegateVertexNormal (const int vertex)
 
bool VertexNormalNegated (const int vertex)
 
const NormalVectorGetFaceNormal (const int face) const
 
const NormalVectorGetVertexNormal (const int vertex) const
 
const NormalVectorGetSurfaceNormal (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, int P1=-1, int P2=-1)
 
void GetInverseBoundaryMaps (Array< OneD, unsigned int > &vmap, Array< OneD, Array< OneD, unsigned int > > &emap, Array< OneD, Array< OneD, unsigned int > > &fmap)
 
DNekMatSharedPtr BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int npset=-1)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
 
void GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
std::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 

Protected Member Functions

void ComputeLaplacianMetric ()
 
void ComputeQuadratureMetric ()
 
void ComputeGmatcdotMF (const Array< TwoD, const NekDouble > &df, const Array< OneD, const NekDouble > &direction, Array< OneD, Array< OneD, NekDouble > > &dfdir)
 
virtual void v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_ComputeLaplacianMetric ()
 
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
 
Array< OneD, NekDoublev_GetMF (const int dir, const int shapedim, const StdRegions::VarCoeffMap &varcoeffs)
 
Array< OneD, NekDoublev_GetMFDiv (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
 
Array< OneD, NekDoublev_GetMFMag (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
 
virtual DNekScalMatSharedPtr v_GetLocMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual DNekMatSharedPtr v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
 
virtual DNekMatSharedPtr v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
 
virtual void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
 
virtual void v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddEdgeNormBoundaryInt (const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddFaceNormBoundaryInt (const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
virtual void v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
 
virtual NekDouble v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)
 
- 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 IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 

Protected Attributes

SpatialDomains::GeometrySharedPtr m_geom
 
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
 
MetricMap m_metrics
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD, LibUtilities::BasisSharedPtrm_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLessm_stdMatrixManager
 
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLessm_stdStaticCondMatrixManager
 
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLessm_IndexMapManager
 

Detailed Description

Definition at line 70 of file Expansion.h.

Constructor & Destructor Documentation

◆ Expansion() [1/2]

Nektar::LocalRegions::Expansion::Expansion ( SpatialDomains::GeometrySharedPtr  pGeom)

Definition at line 47 of file Expansion.cpp.

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

47  :
48  m_geom(pGeom),
49  m_metricinfo(m_geom->GetGeomFactors())
50  {
51  if (!m_metricinfo)
52  {
53  return;
54  }
55 
56  if (!m_metricinfo->IsValid())
57  {
58  int nDim = m_base.num_elements();
59  string type = "regular";
60  if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
61  {
62  type = "deformed";
63  }
64 
65  stringstream err;
66  err << nDim << "D " << type << " Jacobian not positive "
67  << "(element ID = " << m_geom->GetGlobalID() << ") "
68  << "(first vertex ID = " << m_geom->GetVid(0) << ")";
69  NEKERROR(ErrorUtil::ewarning, err.str());
70  }
71  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:128
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:127
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Geometry is curved or has non-constant factors.

◆ Expansion() [2/2]

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

Definition at line 73 of file Expansion.cpp.

73  :
74  StdExpansion(pSrc),
75  m_geom(pSrc.m_geom),
76  m_metricinfo(pSrc.m_metricinfo)
77  {
78 
79  }
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:128
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:127
StdExpansion()
Default Constructor.

◆ ~Expansion()

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

Definition at line 81 of file Expansion.cpp.

82  {
83  }

Member Function Documentation

◆ AddEdgeNormBoundaryInt() [1/2]

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

Definition at line 115 of file Expansion.cpp.

References v_AddEdgeNormBoundaryInt().

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

121  {
122  v_AddEdgeNormBoundaryInt(edge, EdgeExp, Fx, Fy, outarray);
123  }
virtual void v_AddEdgeNormBoundaryInt(const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
Definition: Expansion.cpp:505

◆ AddEdgeNormBoundaryInt() [2/2]

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

Definition at line 125 of file Expansion.cpp.

References v_AddEdgeNormBoundaryInt().

130  {
131  v_AddEdgeNormBoundaryInt(edge, EdgeExp, Fn, outarray);
132  }
virtual void v_AddEdgeNormBoundaryInt(const int edge, const std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
Definition: Expansion.cpp:505

◆ AddFaceNormBoundaryInt()

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

Definition at line 134 of file Expansion.cpp.

References v_AddFaceNormBoundaryInt().

139  {
140  v_AddFaceNormBoundaryInt(face, FaceExp, Fn, outarray);
141  }
virtual void v_AddFaceNormBoundaryInt(const int face, const std::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
Definition: Expansion.cpp:526

◆ BuildTransformationMatrix()

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

Definition at line 90 of file Expansion.cpp.

References v_BuildTransformationMatrix().

Referenced by Nektar::LocalRegions::TetExp::CreateMatrix(), Nektar::LocalRegions::PrismExp::CreateMatrix(), and Nektar::LocalRegions::HexExp::CreateMatrix().

93  {
94  return v_BuildTransformationMatrix(r_bnd,matrixType);
95  }
virtual DNekMatSharedPtr v_BuildTransformationMatrix(const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
Definition: Expansion.cpp:476

◆ BuildVertexMatrix()

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

◆ ComputeGmatcdotMF()

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

Definition at line 312 of file Expansion.cpp.

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

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

316  {
317  int shapedim = dfdir.num_elements();
318  int coordim = GetCoordim();
319  int nqtot = direction.num_elements()/coordim;
320 
321  for(int j = 0; j < shapedim; j++)
322  {
323  dfdir[j] = Array<OneD, NekDouble>(nqtot,0.0);
324  for (int k = 0; k < coordim; k++)
325  {
326  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
327  {
328  Vmath::Vvtvp(nqtot,
329  &df[shapedim*k+j][0], 1,
330  &direction[k*nqtot], 1,
331  &dfdir[j][0], 1,
332  &dfdir[j][0], 1);
333  }
334  else
335  {
336  Vmath::Svtvp(nqtot,
337  df[shapedim*k+j][0],
338  &direction[k*nqtot], 1,
339  &dfdir[j][0], 1,
340  &dfdir[j][0], 1);
341  }
342  }
343  }
344  }
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:488
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:445
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:128
Geometry is curved or has non-constant factors.

◆ ComputeLaplacianMetric()

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

◆ ComputeQuadratureMetric()

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

Definition at line 212 of file Expansion.cpp.

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

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

213  {
214  unsigned int nqtot = GetTotPoints();
215  SpatialDomains::GeomType type = m_metricinfo->GetGtype();
217  if (type == SpatialDomains::eRegular ||
219  {
220  m_metrics[eMetricQuadrature] = Array<OneD, NekDouble>(nqtot, m_metricinfo->GetJac(p)[0]);
221  }
222  else
223  {
225  }
226 
228  m_metrics[eMetricQuadrature]);
229  }
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:246
void MultiplyByStdQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:952
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:128
const LibUtilities::PointsKeyVector GetPointsKeys() const
Geometry is straight-sided with constant geometric factors.
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:140
GeomType
Indicates the type of element geometry.

◆ DGDeriv()

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

Definition at line 143 of file Expansion.cpp.

References v_DGDeriv().

149  {
150  v_DGDeriv(dir, inarray, EdgeExp, coeffs, outarray);
151  }
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)
Definition: Expansion.cpp:536

◆ ExtractDataToCoeffs()

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

Definition at line 105 of file Expansion.cpp.

References v_ExtractDataToCoeffs().

111  {
112  v_ExtractDataToCoeffs(data,nummodes,nmodes_offset,coeffs,fromType);
113  }
virtual void v_ExtractDataToCoeffs(const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
Definition: Expansion.cpp:493

◆ GetGeom()

SpatialDomains::GeometrySharedPtr Nektar::LocalRegions::Expansion::GetGeom ( ) const

◆ GetLocMatrix() [1/2]

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

◆ GetLocMatrix() [2/2]

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

Definition at line 159 of file Expansion.cpp.

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

162  {
163  MatrixKey mkey(mtype, DetShapeType(), *this, factors, varcoeffs);
164  return GetLocMatrix(mkey);
165  }
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:469
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85

◆ GetMetricInfo()

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

◆ Reset()

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

Definition at line 172 of file Expansion.cpp.

References m_geom, m_metricinfo, and m_metrics.

173  {
174  // Clear metrics
175  m_metrics.clear();
176 
177  // Regenerate geometry factors
178  m_metricinfo = m_geom->GetGeomFactors();
179  }
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:128
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:127

◆ v_AddEdgeNormBoundaryInt() [1/2]

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

Definition at line 505 of file Expansion.cpp.

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

Referenced by AddEdgeNormBoundaryInt(), and v_ComputeLaplacianMetric().

511  {
512  boost::ignore_unused(edge, EdgeExp, Fx, Fy, outarray);
513  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
514  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ v_AddEdgeNormBoundaryInt() [2/2]

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

Definition at line 516 of file Expansion.cpp.

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

521  {
522  boost::ignore_unused(edge, EdgeExp, Fn, outarray);
523  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
524  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ v_AddFaceNormBoundaryInt()

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

Definition at line 526 of file Expansion.cpp.

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

Referenced by AddFaceNormBoundaryInt(), and v_ComputeLaplacianMetric().

531  {
532  boost::ignore_unused(face, FaceExp, Fn, outarray);
533  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
534  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ v_BuildTransformationMatrix()

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

Reimplemented in Nektar::LocalRegions::Expansion3D.

Definition at line 476 of file Expansion.cpp.

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

Referenced by BuildTransformationMatrix(), and v_ComputeLaplacianMetric().

479  {
480  boost::ignore_unused(r_bnd, matrixType);
481  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
482  return NullDNekMatSharedPtr;
483  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209
static DNekMatSharedPtr NullDNekMatSharedPtr
Definition: NekTypeDefs.hpp:78

◆ v_BuildVertexMatrix()

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

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

Definition at line 485 of file Expansion.cpp.

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

Referenced by BuildVertexMatrix(), and v_ComputeLaplacianMetric().

487  {
488  boost::ignore_unused(r_bnd);
489  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
490  return NullDNekMatSharedPtr;
491  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209
static DNekMatSharedPtr NullDNekMatSharedPtr
Definition: NekTypeDefs.hpp:78

◆ v_ComputeLaplacianMetric()

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

◆ v_DGDeriv()

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

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

Definition at line 536 of file Expansion.cpp.

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

Referenced by DGDeriv(), and v_ComputeLaplacianMetric().

542  {
543  boost::ignore_unused(dir, inarray, EdgeExp, coeffs, outarray);
544  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
545  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ v_ExtractDataToCoeffs()

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

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

Definition at line 493 of file Expansion.cpp.

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

Referenced by ExtractDataToCoeffs(), and v_ComputeLaplacianMetric().

499  {
500  boost::ignore_unused(data, nummodes, nmodes_offset,
501  coeffs, fromType);
502  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
503  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ v_GetCoords()

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

Reimplemented from Nektar::StdRegions::StdExpansion.

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

Definition at line 231 of file Expansion.cpp.

References ASSERTL1, Nektar::LibUtilities::Interp1D(), Nektar::LibUtilities::Interp2D(), Nektar::LibUtilities::Interp3D(), Nektar::StdRegions::StdExpansion::m_base, and m_geom.

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

235  {
236  ASSERTL1(m_geom, "m_geom not defined");
237 
238  // get physical points defined in Geom
239  m_geom->FillGeom();
240 
241  const int expDim = m_base.num_elements();
242  int nqGeom = 1;
243  bool doCopy = true;
244 
245  Array<OneD, LibUtilities::BasisSharedPtr> CBasis(expDim);
246  Array<OneD, Array<OneD, NekDouble> > tmp(3);
247 
248  for (int i = 0; i < expDim; ++i)
249  {
250  CBasis[i] = m_geom->GetXmap()->GetBasis(i);
251  nqGeom *= CBasis[i]->GetNumPoints();
252  doCopy = doCopy && m_base[i]->GetBasisKey().SamePoints(
253  CBasis[i]->GetBasisKey());
254  }
255 
256  tmp[0] = coords_0;
257  tmp[1] = coords_1;
258  tmp[2] = coords_2;
259 
260  if (doCopy)
261  {
262  for (int i = 0; i < m_geom->GetCoordim(); ++i)
263  {
264  m_geom->GetXmap()->BwdTrans(m_geom->GetCoeffs(i), tmp[i]);
265  }
266  }
267  else
268  {
269  for (int i = 0; i < m_geom->GetCoordim(); ++i)
270  {
271  Array<OneD, NekDouble> tmpGeom(nqGeom);
272  m_geom->GetXmap()->BwdTrans(m_geom->GetCoeffs(i), tmpGeom);
273 
274  switch (expDim)
275  {
276  case 1:
277  {
279  CBasis[0]->GetPointsKey(), &tmpGeom[0],
280  m_base[0]->GetPointsKey(), &tmp[i][0]);
281  break;
282  }
283  case 2:
284  {
286  CBasis[0]->GetPointsKey(),
287  CBasis[1]->GetPointsKey(),
288  &tmpGeom[0],
289  m_base[0]->GetPointsKey(),
290  m_base[1]->GetPointsKey(),
291  &tmp[i][0]);
292  break;
293  }
294  case 3:
295  {
297  CBasis[0]->GetPointsKey(),
298  CBasis[1]->GetPointsKey(),
299  CBasis[2]->GetPointsKey(),
300  &tmpGeom[0],
301  m_base[0]->GetPointsKey(),
302  m_base[1]->GetPointsKey(),
303  m_base[2]->GetPointsKey(),
304  &tmp[i][0]);
305  break;
306  }
307  }
308  }
309  }
310  }
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:127
void Interp2D(const BasisKey &fbasis0, const BasisKey &fbasis1, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, Array< OneD, NekDouble > &to)
this function interpolates a 2D function evaluated at the quadrature points of the 2D basis...
Definition: Interp.cpp:115
void Interp3D(const BasisKey &fbasis0, const BasisKey &fbasis1, const BasisKey &fbasis2, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, const BasisKey &tbasis2, Array< OneD, NekDouble > &to)
this function interpolates a 3D function evaluated at the quadrature points of the 3D basis...
Definition: Interp.cpp:185
void Interp1D(const BasisKey &fbasis0, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, Array< OneD, NekDouble > &to)
this function interpolates a 1D function evaluated at the quadrature points of the basis fbasis0 to ...
Definition: Interp.cpp:53
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:250
Array< OneD, LibUtilities::BasisSharedPtr > m_base

◆ v_GetLocMatrix()

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

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

Definition at line 187 of file Expansion.cpp.

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

Referenced by GetLocMatrix(), and v_ComputeLaplacianMetric().

188  {
189  boost::ignore_unused(mkey);
190  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
192  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209
static DNekScalMatSharedPtr NullDNekScalMatSharedPtr
Definition: NekTypeDefs.hpp:79

◆ v_GetMF()

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

Definition at line 347 of file Expansion.cpp.

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

Referenced by v_ComputeLaplacianMetric(), and Nektar::LocalRegions::Expansion2D::v_GetMF().

351  {
352  int coordim = GetCoordim();
353 
354  int nquad0, nquad1, nquad2;
355  int nqtot=1;
356  switch(shapedim)
357  {
358  case 2:
359  {
360  nquad0 = m_base[0]->GetNumPoints();
361  nquad1 = m_base[1]->GetNumPoints();
362  nqtot = nquad0*nquad1;
363  break;
364  }
365  case 3:
366  {
367  nquad0 = m_base[0]->GetNumPoints();
368  nquad1 = m_base[1]->GetNumPoints();
369  nquad2 = m_base[2]->GetNumPoints();
370  nqtot = nquad0 * nquad1 * nquad2;
371  break;
372  }
373  default:
374  break;
375  }
376 
377  StdRegions::VarCoeffType MMFCoeffs[15] =
378  {
394  };
395 
396  Array<OneD, NekDouble> MF(coordim*nqtot);
397  Array<OneD, NekDouble> tmp(nqtot);
398  for (int k = 0; k < coordim; k++)
399  {
400  StdRegions::VarCoeffMap::const_iterator MFdir =
401  varcoeffs.find(MMFCoeffs[5*dir+k]);
402  tmp = MFdir->second;
403 
404  Vmath::Vcopy(nqtot, &tmp[0], 1, &MF[k*nqtot], 1);
405  }
406 
407  return MF;
408  }
Array< OneD, LibUtilities::BasisSharedPtr > m_base
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1064

◆ v_GetMFDiv()

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

Definition at line 411 of file Expansion.cpp.

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

Referenced by v_ComputeLaplacianMetric(), and Nektar::LocalRegions::Expansion2D::v_GetMFDiv().

414  {
415  int indxDiv = 3;
416 
417  StdRegions::VarCoeffType MMFCoeffs[15] =
418  {
434  };
435 
436  StdRegions::VarCoeffMap::const_iterator MFdir =
437  varcoeffs.find(MMFCoeffs[5*dir+indxDiv]);
438  Array<OneD, NekDouble> MFDiv = MFdir->second;
439 
440  return MFDiv;
441  }

◆ v_GetMFMag()

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

Definition at line 444 of file Expansion.cpp.

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

Referenced by v_ComputeLaplacianMetric(), and Nektar::LocalRegions::Expansion2D::v_GetMFMag().

447  {
448  int indxMag = 4;
449 
450  StdRegions::VarCoeffType MMFCoeffs[15] =
451  {
467  };
468 
469  StdRegions::VarCoeffMap::const_iterator MFdir = varcoeffs.find(MMFCoeffs[5*dir+indxMag]);
470  Array<OneD, NekDouble> MFmag = MFdir->second;
471 
472  return MFmag;
473  }

◆ v_MultiplyByQuadratureMetric()

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 194 of file Expansion.cpp.

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

196  {
197  const int nqtot = GetTotPoints();
198 
199  if (m_metrics.count(eMetricQuadrature) == 0)
200  {
202  }
203 
204  Vmath::Vmul(nqtot, m_metrics[eMetricQuadrature], 1, inarray, 1, outarray, 1);
205  }
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:140
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:186

◆ v_VectorFlux()

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

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

Definition at line 547 of file Expansion.cpp.

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

Referenced by v_ComputeLaplacianMetric(), and VectorFlux().

549  {
550  boost::ignore_unused(vec);
551  NEKERROR(ErrorUtil::efatal, "This function is only valid for LocalRegions");
552  return 0.0;
553  }
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:209

◆ VectorFlux()

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

Definition at line 153 of file Expansion.cpp.

References v_VectorFlux().

155  {
156  return v_VectorFlux(vec);
157  }
virtual NekDouble v_VectorFlux(const Array< OneD, Array< OneD, NekDouble > > &vec)
Definition: Expansion.cpp:547

Member Data Documentation

◆ m_geom

SpatialDomains::GeometrySharedPtr Nektar::LocalRegions::Expansion::m_geom
protected

Definition at line 127 of file Expansion.h.

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

◆ m_metricinfo

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

Definition at line 128 of file Expansion.h.

Referenced by ComputeGmatcdotMF(), ComputeQuadratureMetric(), Nektar::LocalRegions::NodalTriExp::CreateMatrix(), Nektar::LocalRegions::PyrExp::CreateMatrix(), Nektar::LocalRegions::TetExp::CreateMatrix(), Nektar::LocalRegions::PrismExp::CreateMatrix(), Nektar::LocalRegions::QuadExp::CreateMatrix(), Nektar::LocalRegions::SegExp::CreateMatrix(), Nektar::LocalRegions::TriExp::CreateMatrix(), Nektar::LocalRegions::HexExp::CreateMatrix(), Nektar::LocalRegions::NodalTriExp::CreateStaticCondMatrix(), Nektar::LocalRegions::PyrExp::CreateStaticCondMatrix(), Nektar::LocalRegions::TetExp::CreateStaticCondMatrix(), Nektar::LocalRegions::PrismExp::CreateStaticCondMatrix(), Nektar::LocalRegions::QuadExp::CreateStaticCondMatrix(), Nektar::LocalRegions::TriExp::CreateStaticCondMatrix(), Nektar::LocalRegions::SegExp::CreateStaticCondMatrix(), Nektar::LocalRegions::HexExp::CreateStaticCondMatrix(), Expansion(), GetMetricInfo(), Nektar::LocalRegions::NodalTriExp::Integral(), Nektar::LocalRegions::HexExp::IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::NodalTriExp::IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::HexExp::IProductWRTDirectionalDerivBase_SumFac(), Nektar::LocalRegions::NodalTriExp::PhysDeriv(), Reset(), Nektar::LocalRegions::PyrExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::TetExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::HexExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::TriExp::v_ComputeLaplacianMetric(), Nektar::LocalRegions::QuadExp::v_GetEdgeQFactors(), Nektar::LocalRegions::QuadExp::v_GetMetricInfo(), Nektar::LocalRegions::SegExp::v_HelmholtzMatrixOp(), Nektar::LocalRegions::PrismExp::v_Integral(), Nektar::LocalRegions::SegExp::v_Integral(), Nektar::LocalRegions::TetExp::v_Integral(), Nektar::LocalRegions::PyrExp::v_Integral(), Nektar::LocalRegions::TriExp::v_Integral(), Nektar::LocalRegions::QuadExp::v_Integral(), Nektar::LocalRegions::HexExp::v_Integral(), Nektar::LocalRegions::SegExp::v_IProductWRTBase(), Nektar::LocalRegions::TetExp::v_IProductWRTDerivBase(), Nektar::LocalRegions::SegExp::v_IProductWRTDerivBase(), Nektar::LocalRegions::PrismExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::PyrExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::TriExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::QuadExp::v_IProductWRTDerivBase_SumFac(), Nektar::LocalRegions::TriExp::v_IProductWRTDirectionalDerivBase_SumFac(), Nektar::LocalRegions::SegExp::v_LaplacianMatrixOp(), Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp_MatFree_Kernel(), Nektar::LocalRegions::SegExp::v_MetricInfoType(), Nektar::LocalRegions::QuadExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::TriExp::v_NormVectorIProductWRTBase(), Nektar::LocalRegions::SegExp::v_PhysDeriv(), Nektar::LocalRegions::PrismExp::v_PhysDeriv(), Nektar::LocalRegions::TetExp::v_PhysDeriv(), Nektar::LocalRegions::PyrExp::v_PhysDeriv(), Nektar::LocalRegions::TriExp::v_PhysDeriv(), Nektar::LocalRegions::QuadExp::v_PhysDeriv(), Nektar::LocalRegions::HexExp::v_PhysDeriv(), Nektar::LocalRegions::SegExp::v_PhysDeriv_n(), Nektar::LocalRegions::SegExp::v_PhysDeriv_s(), Nektar::LocalRegions::TriExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::QuadExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::HexExp::v_PhysDirectionalDeriv(), Nektar::LocalRegions::PyrExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::TetExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::PrismExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::HexExp::v_SVVLaplacianFilter(), Nektar::LocalRegions::QuadExp::v_SVVLaplacianFilter(), and Nektar::LocalRegions::TriExp::v_SVVLaplacianFilter().

◆ m_metrics

MetricMap Nektar::LocalRegions::Expansion::m_metrics
protected