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Nektar::StdRegions::StdNodalTetExp Class Reference

#include <StdNodalTetExp.h>

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Public Member Functions

 StdNodalTetExp ()
 StdNodalTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const LibUtilities::PointsType Ntype)
 StdNodalTetExp (const StdNodalTetExp &T)
 ~StdNodalTetExp ()
void NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void NodalToModalTranspose (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void ModalToNodal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void GetNodalPoints (Array< OneD, const NekDouble > &x, Array< OneD, const NekDouble > &y, Array< OneD, const NekDouble > &z)
DNekMatSharedPtr GenNBasisTransMatrix ()
- Public Member Functions inherited from Nektar::StdRegions::StdTetExp
 StdTetExp ()
 StdTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 StdTetExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys)
 StdTetExp (const StdTetExp &T)
 ~StdTetExp ()
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain.
NekDouble PhysEvaluate3D (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 Single Point Evaluation.
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
 StdExpansion3D ()
 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 StdExpansion3D (const StdExpansion3D &T)
virtual ~StdExpansion3D ()
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
 Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points.
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor.
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor.
 StdExpansion (const StdExpansion &T)
 Copy Constructor.
virtual ~StdExpansion ()
 Destructor.
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion.
const Array< OneD, const
LibUtilities::BasisSharedPtr > & 		GetBase () const
 This function gets the shared point to basis.
const
LibUtilities::BasisSharedPtr & 		GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction.
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion.
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element.
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction.
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction.
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions.
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction.
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction.
const Array< OneD, const
NekDouble > & 		GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction.
int GetNverts () const
 This function returns the number of vertices of the expansion domain.
int GetNedges () const
 This function returns the number of edges of the expansion domain.
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge.
int GetTotalEdgeIntNcoeffs () const
int GetEdgeNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th edge.
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.
int GetFaceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th face.
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.
int GetNfaces () const
 This function returns the number of faces of the expansion domain.
int GetShapeDimension () const
bool IsBoundaryInteriorExpansion ()
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space.
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space.
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.
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion.
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion
void 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.
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id.
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
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 GetFaceOrient (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)
void AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
void AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
void AddEdgeNormBoundaryBiInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)
void AddFaceNormBoundaryInt (const int face, boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
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.
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).
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 $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$
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)
void DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, boost::shared_ptr< StdExpansion > > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain.
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.
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta.
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.
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 void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs)
 Unpack data from input file assuming it comes from the same expansion type.
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 DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
virtual StdRegions::Orientation v_GetFaceOrient (int face)
virtual StdRegions::Orientation v_GetEorient (int edge)
virtual StdRegions::Orientation v_GetCartesianEorient (int edge)
virtual StdRegions::Orientation v_GetPorient (int point)
NekDouble Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ is given by the array sol.
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol.
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol.
const 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)
template<class T >
boost::shared_ptr< T > as ()

Protected Member Functions

virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase (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)
virtual void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)
virtual int v_GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
virtual DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey)
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey)
- Protected Member Functions inherited from Nektar::StdRegions::StdTetExp
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dx, Array< OneD, NekDouble > &out_dy, Array< OneD, NekDouble > &out_dz)
 Calculate the derivative of the physical points.
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
virtual void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
virtual void v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
virtual void v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_x, Array< OneD, NekDouble > &coords_y, Array< OneD, NekDouble > &coords_z)
virtual int v_GetNverts () const
virtual int v_GetNedges () const
virtual int v_GetNfaces () const
virtual LibUtilities::ShapeType v_DetShapeType () const
virtual int v_NumBndryCoeffs () const
virtual int v_NumDGBndryCoeffs () const
virtual int v_GetEdgeNcoeffs (const int i) const
virtual int v_GetTotalEdgeIntNcoeffs () const
virtual int v_GetFaceNcoeffs (const int i) const
virtual int v_GetFaceIntNcoeffs (const int i) const
virtual int v_GetTotalFaceIntNcoeffs () const
virtual int v_GetFaceNumPoints (const int i) const
virtual LibUtilities::PointsKey v_GetFacePointsKey (const int i, const int j) const
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
virtual const
LibUtilities::BasisKey 		v_DetFaceBasisKey (const int i, const int k) const
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
virtual bool v_IsBoundaryInteriorExpansion ()
virtual void v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
virtual void v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
virtual void v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
virtual NekDouble v_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.
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain.
virtual void v_NegateFaceNormal (const int face)
- 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.
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.
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 IProductWRTBase_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)
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
virtual void v_AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
virtual void v_AddEdgeNormBoundaryInt (const int edge, boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
virtual void v_AddFaceNormBoundaryInt (const int face, boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)

Protected Attributes

boost::shared_ptr
< LibUtilities::PointsKey > 		m_nodalPointsKey

Detailed Description

Definition at line 46 of file StdNodalTetExp.h.

Constructor & Destructor Documentation

Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp ( )
Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc,
const LibUtilities::PointsType  Ntype 
)

Definition at line 43 of file StdNodalTetExp.cpp.

References ASSERTL0, Nektar::LibUtilities::BasisKey::GetNumModes(), and m_nodalPointsKey.

:
StdExpansion (LibUtilities::StdTetData::getNumberOfCoefficients(
Ba.GetNumModes(),
Bb.GetNumModes(),
Bc.GetNumModes()),
3,Ba,Bb,Bc),
StdExpansion3D(LibUtilities::StdTetData::getNumberOfCoefficients(
Ba.GetNumModes(),
Bb.GetNumModes(),
Bc.GetNumModes()),
Ba,Bb,Bc),
StdTetExp (Ba,Bb,Bc),
m_nodalPointsKey()
{
ASSERTL0(Ba.GetNumModes() <= Bb.GetNumModes(),
"order in 'a' direction is higher than order "
"in 'b' direction");
ASSERTL0(Ba.GetNumModes() <= Bc.GetNumModes(),
"order in 'a' direction is higher than order "
"in 'c' direction");
ASSERTL0(Bb.GetNumModes() <= Bc.GetNumModes(),
"order in 'b' direction is higher than order "
"in 'c' direction");
int nummodes = Ba.GetNumModes();
m_nodalPointsKey = MemoryManager<LibUtilities::PointsKey>::
AllocateSharedPtr(nummodes,Ntype);
}
Nektar::StdRegions::StdNodalTetExp::StdNodalTetExp ( const StdNodalTetExp &  T)

Definition at line 75 of file StdNodalTetExp.cpp.

:
StdExpansion(T),
StdExpansion3D(T),
StdTetExp(T),
m_nodalPointsKey(T.m_nodalPointsKey)
{
}
Nektar::StdRegions::StdNodalTetExp::~StdNodalTetExp ( )

Definition at line 83 of file StdNodalTetExp.cpp.

{
}

Member Function Documentation

DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::GenNBasisTransMatrix ( )

Definition at line 144 of file StdNodalTetExp.cpp.

References GetNodalPoints(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::m_ncoeffs, v_FillMode(), and Nektar::StdRegions::StdExpansion3D::v_PhysEvaluate().

Referenced by v_GenMatrix().

{
int i,j;
Array<OneD, const NekDouble> r, s, t;
Array<OneD, NekDouble> c(3);
DNekMatSharedPtr Mat;
Mat = MemoryManager<DNekMat>::AllocateSharedPtr(
m_ncoeffs, m_ncoeffs);
GetNodalPoints(r,s,t);
//Store the values of m_phys in a temporary array
int nqtot = GetTotPoints();
Array<OneD,NekDouble> tmp_phys(nqtot);
for(i = 0; i < m_ncoeffs; ++i)
{
// fill physical space with mode i
StdTetExp::v_FillMode(i,tmp_phys);
// interpolate mode i to the Nodal points 'j' and
// store in outarray
for(j = 0; j < m_ncoeffs; ++j)
{
c[0] = r[j];
c[1] = s[j];
c[2] = t[j];
(*Mat)(j,i) = StdTetExp::v_PhysEvaluate(c,tmp_phys);
}
}
return Mat;
}
void Nektar::StdRegions::StdNodalTetExp::GetNodalPoints ( Array< OneD, const NekDouble > &  x,
Array< OneD, const NekDouble > &  y,
Array< OneD, const NekDouble > &  z 
)

Definition at line 136 of file StdNodalTetExp.cpp.

References m_nodalPointsKey, and Nektar::LibUtilities::PointsManager().

Referenced by GenNBasisTransMatrix().

{
LibUtilities::PointsManager()[*m_nodalPointsKey]->GetPoints(x,y,z);
}
void Nektar::StdRegions::StdNodalTetExp::ModalToNodal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 121 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::StdRegions::eNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

{
StdMatrixKey Nkey(eNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr vdm = GetStdMatrix(Nkey);
// Multiply out matrix
NekVector<NekDouble> modal(m_ncoeffs,inarray,eWrapper);
NekVector<NekDouble> nodal(m_ncoeffs,outarray,eWrapper);
nodal = (*vdm)*modal;
}
void Nektar::StdRegions::StdNodalTetExp::NodalToModal ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 92 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, and Nektar::StdRegions::NullVarCoeffMap.

Referenced by v_BwdTrans_SumFac().

{
StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
NekVector<NekDouble> nodal(m_ncoeffs,inarray,eWrapper);
NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
modal = (*inv_vdm) * nodal;
}
void Nektar::StdRegions::StdNodalTetExp::NodalToModalTranspose ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 107 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvNBasisTrans, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and Nektar::Transpose().

Referenced by v_IProductWRTBase_SumFac(), and v_IProductWRTDerivBase_SumFac().

{
StdMatrixKey Nkey(eInvNBasisTrans, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr inv_vdm = GetStdMatrix(Nkey);
NekVector<NekDouble> nodal(m_ncoeffs,inarray,eCopy);
NekVector<NekDouble> modal(m_ncoeffs,outarray,eWrapper);
modal = Transpose(*inv_vdm) * nodal;
}
void Nektar::StdRegions::StdNodalTetExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Note
'r' (base[2]) runs fastest in this element

$ u^{\delta} (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{m(pqr)} \hat u_{pqr} \phi_{pqr} (\xi_{1i}, \xi_{2j}, \xi_{3k})$

Backward transformation is three dimensional tensorial expansion $ u (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_p^a (\xi_{1i}) \lbrace { \sum_{q=0}^{Q_y} \psi_{pq}^b (\xi_{2j}) \lbrace { \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pqr}^c (\xi_{3k}) \rbrace} \rbrace}. $ And sumfactorizing step of the form is as:\

$ f_{pq} (\xi_{3k}) = \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pqr}^c (\xi_{3k}),\\ g_{p} (\xi_{2j}, \xi_{3k}) = \sum_{r=0}^{Q_y} \psi_{pq}^b (\xi_{2j}) f_{pq} (\xi_{3k}),\\ u(\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_{p}^a (\xi_{1i}) g_{p} (\xi_{2j}, \xi_{3k}). $

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 183 of file StdNodalTetExp.cpp.

References v_BwdTrans_SumFac().

Referenced by v_FillMode().

{
v_BwdTrans_SumFac(inarray,outarray);
}
void Nektar::StdRegions::StdNodalTetExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Sum-factorisation implementation of the BwdTrans operation.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 190 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, and NodalToModal().

Referenced by v_BwdTrans().

{
Array<OneD, NekDouble> tmp(m_ncoeffs);
NodalToModal(inarray,tmp);
StdTetExp::v_BwdTrans_SumFac(tmp,outarray);
}
DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 410 of file StdNodalTetExp.cpp.

References v_GenMatrix().

{
return StdNodalTetExp::v_GenMatrix(mkey);
}
void Nektar::StdRegions::StdNodalTetExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 259 of file StdNodalTetExp.cpp.

References ASSERTL2, Nektar::StdRegions::StdExpansion::m_ncoeffs, v_BwdTrans(), and Vmath::Zero().

Referenced by GenNBasisTransMatrix().

{
ASSERTL2(mode >= m_ncoeffs,
"calling argument mode is larger than total expansion order");
Vmath::Zero(m_ncoeffs, outarray, 1);
outarray[mode] = 1.0;
v_BwdTrans(outarray,outarray);
}
void Nektar::StdRegions::StdNodalTetExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Parameters
inarrayarray of physical quadrature points to be transformed.
outarrayupdated array of expansion coefficients.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 199 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdTetExp::DetShapeType(), Nektar::eCopy, Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, m_nodalPointsKey, Nektar::StdRegions::NullConstFactorMap, Nektar::StdRegions::NullVarCoeffMap, and v_IProductWRTBase().

{
v_IProductWRTBase(inarray,outarray);
// get Mass matrix inverse
StdMatrixKey masskey(eInvMass, DetShapeType(), *this,
NullConstFactorMap, NullVarCoeffMap,
m_nodalPointsKey->GetPointsType());
DNekMatSharedPtr matsys = GetStdMatrix(masskey);
// copy inarray in case inarray == outarray
NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
out = (*matsys)*in;
}
DNekMatSharedPtr Nektar::StdRegions::StdNodalTetExp::v_GenMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 393 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eNBasisTrans, GenNBasisTransMatrix(), and Nektar::StdRegions::StdMatrixKey::GetMatrixType().

Referenced by v_CreateStdMatrix().

{
DNekMatSharedPtr Mat;
switch(mkey.GetMatrixType())
{
case eNBasisTrans:
Mat = GenNBasisTransMatrix();
break;
default:
Mat = StdExpansion::CreateGeneralMatrix(mkey);
break;
}
return Mat;
}
void Nektar::StdRegions::StdNodalTetExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

List of all boundary modes in the the expansion.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 353 of file StdNodalTetExp.cpp.

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

{
unsigned int i;
const unsigned int nBndryCoeff = NumBndryCoeffs();
if (outarray.num_elements() != nBndryCoeff)
{
outarray = Array<OneD, unsigned int>(nBndryCoeff);
}
for (i = 0; i < nBndryCoeff; i++)
{
outarray[i] = i;
}
}
void Nektar::StdRegions::StdNodalTetExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

List of all interior modes in the expansion.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 370 of file StdNodalTetExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
unsigned int i;
const unsigned int nBndryCoeff = NumBndryCoeffs();
if (outarray.num_elements() != m_ncoeffs-nBndryCoeff)
{
outarray = Array<OneD, unsigned int>(
m_ncoeffs-nBndryCoeff);
}
for (i = nBndryCoeff; i < m_ncoeffs; i++)
{
outarray[i-nBndryCoeff] = i;
}
}
int Nektar::StdRegions::StdNodalTetExp::v_GetVertexMap ( const int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 345 of file StdNodalTetExp.cpp.

References ASSERTL0.

{
ASSERTL0(localVertexId >= 0 && localVertexId <= 3,
"Local Vertex ID must be between 0 and 3");
return localVertexId;
}
void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

$ \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = & \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a} (\eta_{1i}) \psi_{pq}^{b} (\eta_{2j}) \psi_{pqr}^{c} (\eta_{3k}) w_i w_j w_k u(\eta_{1,i} \eta_{2,j} \eta_{3,k}) J_{i,j,k}\\ & = & \sum_{i=0}^{nq_0} \psi_p^a(\eta_{1,i}) \sum_{j=0}^{nq_1} \psi_{pq}^b(\eta_{2,j}) \sum_{k=0}^{nq_2} \psi_{pqr}^c u(\eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k} \end{array} $

where

$ \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\eta_1) \psi_{pq}^b (\eta_2) \psi_{pqr}^c (\eta_3) $

which can be implemented as
$f_{pqr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pqr}^c u(\eta_{1i},\eta_{2j},\eta_{3k}) J_{i,j,k} = {\bf B_3 U} $

$ g_{pq} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{pq}^b (\xi_{2j}) f_{pqr} (\xi_{3k}) = {\bf B_2 F} $

$ (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{pq} (\xi_{3k}) = {\bf B_1 G} $

Parameters
inarrayFunction evaluated at physical collocation points.
outarrayInner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 223 of file StdNodalTetExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

{
v_IProductWRTBase_SumFac(inarray,outarray);
}
void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Parameters
inarrayFunction evaluated at physical collocation points.
outarrayInner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 230 of file StdNodalTetExp.cpp.

References NodalToModalTranspose().

Referenced by v_IProductWRTBase().

{
StdTetExp::v_IProductWRTBase_SumFac(inarray,outarray);
NodalToModalTranspose(outarray,outarray);
}
void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 238 of file StdNodalTetExp.cpp.

References v_IProductWRTDerivBase_SumFac().

{
v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
}
void Nektar::StdRegions::StdNodalTetExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual
Parameters
inarrayFunction evaluated at physical collocation points.
outarrayInner product with respect to each basis function over the element.

Reimplemented from Nektar::StdRegions::StdTetExp.

Definition at line 246 of file StdNodalTetExp.cpp.

References NodalToModalTranspose().

Referenced by v_IProductWRTDerivBase().

{
StdTetExp::v_IProductWRTDerivBase_SumFac(dir,inarray,outarray);
NodalToModalTranspose(outarray,outarray);
}

Member Data Documentation

boost::shared_ptr<LibUtilities::PointsKey> Nektar::StdRegions::StdNodalTetExp::m_nodalPointsKey
protected

Definition at line 77 of file StdNodalTetExp.h.

Referenced by GetNodalPoints(), ModalToNodal(), NodalToModal(), NodalToModalTranspose(), StdNodalTetExp(), and v_FwdTrans().

Generated on Sun Mar 15 2015 00:12:06 for Nektar++ by   doxygen 1.8.1.2