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Nektar::StdRegions::StdQuadExp Class Reference

#include <StdQuadExp.h>

Inheritance diagram for Nektar::StdRegions::StdQuadExp:
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Public Member Functions

 StdQuadExp ()
 StdQuadExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 Constructor using BasisKey class for quadrature points and order definition.
 StdQuadExp (const StdQuadExp &T)
 Copy Constructor.
 ~StdQuadExp ()
 Destructor.
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion2D
 StdExpansion2D ()
 StdExpansion2D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb)
 StdExpansion2D (const StdExpansion2D &T)
virtual ~StdExpansion2D ()
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d0, Array< OneD, NekDouble > &outarray_d1)
 Calculate the 2D derivative in the local tensor/collapsed coordinate at the physical points.
NekDouble Integral (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1)
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0=true, bool doCheckCollDir1=true)
- 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 GetNtrace () const
 Returns the number of trace elements connected to this element.
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape 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 GetForient (int face)
StdRegions::Orientation GetEorient (int edge)
StdRegions::Orientation GetPorient (int point)
StdRegions::Orientation GetCartesianEorient (int edge)
void SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
void SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
void ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs)
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
int GetCoordim ()
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
void GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
void GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
void GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp.
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)
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_GetForient (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)
void PhysInterpToSimplexEquiSpaced (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values.
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.
template<class T >
boost::shared_ptr< T > as ()

Protected Member Functions

NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain.
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 Calculate the derivative of the physical points.
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a given direction.
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=NullNekDouble1DArray)
virtual void v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_FwdTrans_BndConstrained (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_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Transform a given function from physical quadrature space to coefficient space.
virtual void v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the inner product of inarray with respect to the basis B=base0*base1 and put into outarray.
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
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 > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1)
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_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_FillMode (const int mode, Array< OneD, NekDouble > &array)
 Fill outarray with mode mode of expansion.
virtual int v_GetNverts () const
virtual int v_GetNedges () const
virtual int v_GetEdgeNcoeffs (const int i) const
virtual int v_GetEdgeNumPoints (const int i) const
virtual int v_NumBndryCoeffs () const
virtual int v_NumDGBndryCoeffs () const
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
virtual int v_DetCartesianDirOfEdge (const int edge)
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
virtual const
LibUtilities::BasisKey 		v_DetEdgeBasisKey (const int i) const
virtual LibUtilities::ShapeType v_DetShapeType () const
virtual bool v_IsBoundaryInteriorExpansion ()
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_0, Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2)
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
virtual int v_GetVertexMap (int localVertexId, bool useCoeffPacking=false)
virtual void v_GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
void v_GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
virtual DNekMatSharedPtr v_GenMatrix (const StdMatrixKey &mkey)
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdMatrixKey &mkey)
virtual void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
virtual void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
virtual void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion2D
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)
- 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)

Private Types

typedef boost::shared_ptr
< StdExpansion1D > 		StdExpansion1DSharedPtr

Additional Inherited Members

- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD,
LibUtilities::BasisSharedPtr > 		m_base
int m_elmt_id
int m_ncoeffs
LibUtilities::NekManager
< StdMatrixKey, DNekMat,
StdMatrixKey::opLess > 		m_stdMatrixManager
LibUtilities::NekManager
< StdMatrixKey, DNekBlkMat,
StdMatrixKey::opLess > 		m_stdStaticCondMatrixManager
LibUtilities::NekManager
< IndexMapKey, IndexMapValues,
IndexMapKey::opLess > 		m_IndexMapManager

Detailed Description

Definition at line 51 of file StdQuadExp.h.

Member Typedef Documentation

typedef boost::shared_ptr<StdExpansion1D> Nektar::StdRegions::StdQuadExp::StdExpansion1DSharedPtr
private

Definition at line 54 of file StdQuadExp.h.

Constructor & Destructor Documentation

Nektar::StdRegions::StdQuadExp::StdQuadExp ( )

Definition at line 46 of file StdQuadExp.cpp.

{
}
Nektar::StdRegions::StdQuadExp::StdQuadExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb 
)

Constructor using BasisKey class for quadrature points and order definition.

Definition at line 53 of file StdQuadExp.cpp.

:
StdExpansion (Ba.GetNumModes()*Bb.GetNumModes(),2,Ba,Bb),
StdExpansion2D(Ba.GetNumModes()*Bb.GetNumModes(),Ba,Bb)
{
}
Nektar::StdRegions::StdQuadExp::StdQuadExp ( const StdQuadExp &  T)

Copy Constructor.

Definition at line 61 of file StdQuadExp.cpp.

:
StdExpansion(T),
StdExpansion2D(T)
{
}
Nektar::StdRegions::StdQuadExp::~StdQuadExp ( )

Destructor.

Definition at line 68 of file StdQuadExp.cpp.

{
}

Member Function Documentation

void Nektar::StdRegions::StdQuadExp::v_BwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 150 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, v_BwdTrans_SumFac(), and Vmath::Vcopy().

{
if(m_base[0]->Collocation() && m_base[1]->Collocation())
{
Vmath::Vcopy(m_base[0]->GetNumPoints() * m_base[1]->GetNumPoints(),
inarray, 1, outarray, 1);
}
else
{
StdQuadExp::v_BwdTrans_SumFac(inarray,outarray);
}
}
void Nektar::StdRegions::StdQuadExp::v_BwdTrans_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 164 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::BwdTrans_SumFacKernel(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.

Referenced by v_BwdTrans().

{
Array<OneD, NekDouble> wsp(m_base[0]->GetNumPoints()*
m_base[1]->GetNumModes());
BwdTrans_SumFacKernel(m_base[0]->GetBdata(),
m_base[1]->GetBdata(),
inarray,outarray,wsp,true,true);
}
void Nektar::StdRegions::StdQuadExp::v_BwdTrans_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1 
)
protectedvirtual

Implements Nektar::StdRegions::StdExpansion2D.

Definition at line 186 of file StdQuadExp.cpp.

References ASSERTL1, Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int nmodes0 = m_base[0]->GetNumModes();
int nmodes1 = m_base[1]->GetNumModes();
bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
if(colldir0 && colldir1)
{
Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
}
else if(colldir0)
{
Blas::Dgemm('N','T', nquad0, nquad1,nmodes1, 1.0, &inarray[0], nquad0,
base1.get(), nquad1, 0.0, &outarray[0], nquad0);
}
else if(colldir1)
{
Blas::Dgemm('N','N', nquad0,nmodes1,nmodes0,1.0, base0.get(),
nquad0, &inarray[0], nmodes0,0.0,&outarray[0], nquad0);
}
else
{
ASSERTL1(wsp.num_elements()>=nquad0*nmodes1,"Workspace size is not sufficient");
// Those two calls correpsond to the operation
// out = B0*in*Transpose(B1);
Blas::Dgemm('N','N', nquad0,nmodes1,nmodes0,1.0, base0.get(),
nquad0, &inarray[0], nmodes0,0.0,&wsp[0], nquad0);
Blas::Dgemm('N','T', nquad0, nquad1,nmodes1, 1.0, &wsp[0], nquad0,
base1.get(), nquad1, 0.0, &outarray[0], nquad0);
}
}
int Nektar::StdRegions::StdQuadExp::v_CalcNumberOfCoefficients ( const std::vector< unsigned int > &  nummodes,
int &  modes_offset 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 722 of file StdQuadExp.cpp.

{
int nmodes = nummodes[modes_offset]*nummodes[modes_offset+1];
modes_offset += 2;
return nmodes;
}
DNekMatSharedPtr Nektar::StdRegions::StdQuadExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1435 of file StdQuadExp.cpp.

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

{
return GenMatrix(mkey);
}
int Nektar::StdRegions::StdQuadExp::v_DetCartesianDirOfEdge ( const int  edge)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 659 of file StdQuadExp.cpp.

References ASSERTL2.

{
ASSERTL2((edge >= 0)&&(edge <= 3),"edge id is out of range");
if((edge == 0)||(edge == 2))
{
return 0;
}
else
{
return 1;
}
}
const LibUtilities::BasisKey Nektar::StdRegions::StdQuadExp::v_DetEdgeBasisKey ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 673 of file StdQuadExp.cpp.

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasis().

{
ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
if((i == 0)||(i == 2))
{
return GetBasis(0)->GetBasisKey();
}
else
{
return GetBasis(1)->GetBasisKey();
}
}
LibUtilities::ShapeType Nektar::StdRegions::StdQuadExp::v_DetShapeType ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 688 of file StdQuadExp.cpp.

References Nektar::LibUtilities::eQuadrilateral.

{
return LibUtilities::eQuadrilateral;
};
void Nektar::StdRegions::StdQuadExp::v_FillMode ( const int  mode,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Fill outarray with mode mode of expansion.

Note for quadrilateral expansions _base0 modes run fastest

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 571 of file StdQuadExp.cpp.

References ASSERTL2, Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Vmul().

{
int i;
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
Array<OneD, const NekDouble> base0 = m_base[0]->GetBdata();
Array<OneD, const NekDouble> base1 = m_base[1]->GetBdata();
int btmp0 = m_base[0]->GetNumModes();
int mode0 = mode%btmp0;
int mode1 = mode/btmp0;
ASSERTL2(mode1 == (int)floor((1.0*mode)/btmp0),
"Integer Truncation not Equiv to Floor");
ASSERTL2(m_ncoeffs <= mode,
"calling argument mode is larger than total expansion order");
for(i = 0; i < nquad1; ++i)
{
Vmath::Vcopy(nquad0,(NekDouble *)(base0.get() + mode0*nquad0),
1, &outarray[0]+i*nquad0,1);
}
for(i = 0; i < nquad0; ++i)
{
Vmath::Vmul(nquad1,(NekDouble *)(base1.get() + mode1*nquad1),1,
&outarray[0]+i,nquad0,&outarray[0]+i,nquad0);
}
}
void Nektar::StdRegions::StdQuadExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Transform a given function from physical quadrature space to coefficient space.

See Also
StdExpansion::FwdTrans

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 231 of file StdQuadExp.cpp.

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

{
if((m_base[0]->Collocation())&&(m_base[1]->Collocation()))
{
Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
}
else
{
StdQuadExp::v_IProductWRTBase(inarray,outarray);
// get Mass matrix inverse
StdMatrixKey masskey(eInvMass,DetShapeType(),*this);
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;
}
}
void Nektar::StdRegions::StdQuadExp::v_FwdTrans_BndConstrained ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 254 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eForwards, Nektar::StdRegions::eMass, Nektar::StdRegions::StdExpansion::GetEdgeToElementMap(), Nektar::StdRegions::StdExpansion::GetInteriorMap(), Nektar::StdRegions::StdExpansion::IProductWRTBase(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::m_stdStaticCondMatrixManager, Nektar::StdRegions::StdExpansion::MassMatrixOp(), Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), sign, Vmath::Vcopy(), and Vmath::Vsub().

{
if((m_base[0]->Collocation())&&(m_base[1]->Collocation()))
{
Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
}
else
{
int i,j;
int npoints[2] = {m_base[0]->GetNumPoints(),
m_base[1]->GetNumPoints()};
int nmodes[2] = {m_base[0]->GetNumModes(),
m_base[1]->GetNumModes()};
fill(outarray.get(), outarray.get()+m_ncoeffs, 0.0 );
Array<OneD, NekDouble> physEdge[4];
Array<OneD, NekDouble> coeffEdge[4];
for(i = 0; i < 4; i++)
{
physEdge[i] = Array<OneD, NekDouble>(npoints[i%2]);
coeffEdge[i] = Array<OneD, NekDouble>(nmodes[i%2]);
}
for(i = 0; i < npoints[0]; i++)
{
physEdge[0][i] = inarray[i];
physEdge[2][i] = inarray[npoints[0]*npoints[1]-1-i];
}
for(i = 0; i < npoints[1]; i++)
{
physEdge[1][i] = inarray[npoints[0]-1+i*npoints[0]];
physEdge[3][i] = inarray[(npoints[1]-1)*npoints[0]-i*npoints[0]];
}
StdSegExpSharedPtr segexp[2] = {MemoryManager<StdRegions::StdSegExp>::AllocateSharedPtr(m_base[0]->GetBasisKey()),
MemoryManager<StdRegions::StdSegExp>::AllocateSharedPtr(m_base[1]->GetBasisKey())};
Array<OneD, unsigned int> mapArray;
Array<OneD, int> signArray;
NekDouble sign;
for(i = 0; i < 4; i++)
{
segexp[i%2]->FwdTrans_BndConstrained(physEdge[i],coeffEdge[i]);
GetEdgeToElementMap(i,eForwards,mapArray,signArray);
for(j=0; j < nmodes[i%2]; j++)
{
sign = (NekDouble) signArray[j];
outarray[ mapArray[j] ] = sign * coeffEdge[i][j];
}
}
Array<OneD, NekDouble> tmp0(m_ncoeffs);
Array<OneD, NekDouble> tmp1(m_ncoeffs);
StdMatrixKey masskey(eMass,DetShapeType(),*this);
MassMatrixOp(outarray,tmp0,masskey);
IProductWRTBase(inarray,tmp1);
Vmath::Vsub(m_ncoeffs, tmp1, 1, tmp0, 1, tmp1, 1);
// get Mass matrix inverse (only of interior DOF)
// use block (1,1) of the static condensed system
// note: this block alreay contains the inverse matrix
DNekMatSharedPtr matsys = (m_stdStaticCondMatrixManager[masskey])->GetBlock(1,1);
int nBoundaryDofs = NumBndryCoeffs();
int nInteriorDofs = m_ncoeffs - nBoundaryDofs;
Array<OneD, NekDouble> rhs(nInteriorDofs);
Array<OneD, NekDouble> result(nInteriorDofs);
GetInteriorMap(mapArray);
for(i = 0; i < nInteriorDofs; i++)
{
rhs[i] = tmp1[ mapArray[i] ];
}
Blas::Dgemv('N',nInteriorDofs,nInteriorDofs,1.0, &(matsys->GetPtr())[0],
nInteriorDofs,rhs.get(),1,0.0,result.get(),1);
for(i = 0; i < nInteriorDofs; i++)
{
outarray[ mapArray[i] ] = result[i];
}
}
}
void Nektar::StdRegions::StdQuadExp::v_GeneralMatrixOp_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protected

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1444 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::m_stdMatrixManager, and Vmath::Vcopy().

{
DNekMatSharedPtr mat = m_stdMatrixManager[mkey];
if(inarray.get() == outarray.get())
{
Array<OneD,NekDouble> tmp(m_ncoeffs);
Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
}
else
{
Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
}
DNekMatSharedPtr Nektar::StdRegions::StdQuadExp::v_GenMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1310 of file StdQuadExp.cpp.

References Nektar::LibUtilities::BasisManager(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eFactorGaussEdge, Nektar::LibUtilities::eFourier, Nektar::StdRegions::eFwdTrans, Nektar::LibUtilities::eGauss_Lagrange, Nektar::StdRegions::eGaussDG, Nektar::LibUtilities::eGaussGaussLegendre, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::eMass, Nektar::StdRegions::ePhysInterpToEquiSpaced, Nektar::StdRegions::StdExpansion::GetBasisNumModes(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::LibUtilities::StdSegData::getNumberOfCoefficients(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Smul(), and Vmath::Vcopy().

{
int i;
int order0 = GetBasisNumModes(0);
int order1 = GetBasisNumModes(1);
MatrixType mtype = mkey.GetMatrixType();
DNekMatSharedPtr Mat;
switch(mtype)
{
case ePhysInterpToEquiSpaced:
{
int nq0 = m_base[0]->GetNumPoints();
int nq1 = m_base[1]->GetNumPoints();
int nq = max(nq0,nq1);
int neq = LibUtilities::StdQuadData::
getNumberOfCoefficients(nq, nq);
Array<OneD, Array<OneD, NekDouble> > coords(neq);
Array<OneD, NekDouble> coll (2);
Array<OneD, DNekMatSharedPtr> I (2);
Array<OneD, NekDouble> tmp (nq0);
Mat = MemoryManager<DNekMat>::
AllocateSharedPtr(neq, nq0 * nq1);
int cnt = 0;
for(int i = 0; i < nq; ++i)
{
for(int j = 0; j < nq; ++j,++cnt)
{
coords[cnt] = Array<OneD, NekDouble>(2);
coords[cnt][0] = -1.0 + 2*j/(NekDouble)(nq-1);
coords[cnt][1] = -1.0 + 2*i/(NekDouble)(nq-1);
}
}
for(int i = 0; i < neq; ++i)
{
LocCoordToLocCollapsed(coords[i],coll);
I[0] = m_base[0]->GetI(coll);
I[1] = m_base[1]->GetI(coll+1);
// interpolate first coordinate direction
for (int j = 0; j < nq1; ++j)
{
NekDouble fac = (I[1]->GetPtr())[j];
Vmath::Smul(nq0,fac,I[0]->GetPtr(),1,tmp,1);
Vmath::Vcopy(nq0, &tmp[0], 1,
Mat->GetRawPtr()+j*nq0*neq+i,neq);
}
}
break;
}
case eMass:
{
Mat = StdExpansion::CreateGeneralMatrix(mkey);
// For Fourier basis set the imaginary component of mean mode
// to have a unit diagonal component in mass matrix
if(m_base[0]->GetBasisType() == LibUtilities::eFourier)
{
for(i = 0; i < order1; ++i)
{
(*Mat)(order0*i+1,i*order0+1) = 1.0;
}
}
if(m_base[1]->GetBasisType() == LibUtilities::eFourier)
{
for(i = 0; i < order0; ++i)
{
(*Mat)(order0+i ,order0+i) = 1.0;
}
}
break;
}
case eFwdTrans:
{
Mat = MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs,m_ncoeffs);
StdMatrixKey iprodkey(eIProductWRTBase,DetShapeType(),*this);
DNekMat &Iprod = *GetStdMatrix(iprodkey);
StdMatrixKey imasskey(eInvMass,DetShapeType(),*this);
DNekMat &Imass = *GetStdMatrix(imasskey);
(*Mat) = Imass*Iprod;
break;
}
case eGaussDG:
{
ConstFactorMap factors = mkey.GetConstFactors();
int edge = (int)factors[StdRegions::eFactorGaussEdge];
int dir = (edge + 1) % 2;
int nCoeffs = m_base[dir]->GetNumModes();
const LibUtilities::PointsKey BS_p(
nCoeffs, LibUtilities::eGaussGaussLegendre);
const LibUtilities::BasisKey BS_k(
LibUtilities::eGauss_Lagrange, nCoeffs, BS_p);
Array<OneD, NekDouble> coords(1, 0.0);
coords[0] = (edge == 0 || edge == 3) ? -1.0 : 1.0;
LibUtilities::BasisSharedPtr basis =
LibUtilities::BasisManager()[BS_k];
DNekMatSharedPtr m_Ix = basis->GetI(coords);
Mat = MemoryManager<DNekMat>::AllocateSharedPtr(
1.0, nCoeffs);
Vmath::Vcopy(nCoeffs, m_Ix->GetPtr(), 1, Mat->GetPtr(), 1);
break;
}
default:
{
Mat = StdExpansion::CreateGeneralMatrix(mkey);
break;
}
}
return Mat;
}
void Nektar::StdRegions::StdQuadExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 770 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
int i;
int cnt=0;
int nummodes0, nummodes1;
int value1 = 0, value2 = 0;
if(outarray.num_elements()!=NumBndryCoeffs())
{
outarray = Array<OneD, unsigned int>(NumBndryCoeffs());
}
nummodes0 = m_base[0]->GetNumModes();
nummodes1 = m_base[1]->GetNumModes();
const LibUtilities::BasisType Btype0 = GetBasisType(0);
const LibUtilities::BasisType Btype1 = GetBasisType(1);
switch(Btype1)
{
case LibUtilities::eGLL_Lagrange:
case LibUtilities::eGauss_Lagrange:
value1 = nummodes0;
break;
case LibUtilities::eModified_A:
value1 = 2*nummodes0;
break;
default:
ASSERTL0(0,"Mapping array is not defined for this expansion");
break;
}
for(i = 0; i < value1; i++)
{
outarray[i]=i;
}
cnt=value1;
switch(Btype0)
{
case LibUtilities::eGLL_Lagrange:
case LibUtilities::eGauss_Lagrange:
value2 = value1+nummodes0-1;
break;
case LibUtilities::eModified_A:
value2 = value1+1;
break;
default:
ASSERTL0(0,"Mapping array is not defined for this expansion");
break;
}
for(i = 0; i < nummodes1-2; i++)
{
outarray[cnt++]=value1+i*nummodes0;
outarray[cnt++]=value2+i*nummodes0;
}
if(Btype1 == LibUtilities::eGLL_Lagrange || Btype1 == LibUtilities::eGauss_Lagrange )
{
for(i = nummodes0*(nummodes1-1);i < GetNcoeffs(); i++)
{
outarray[cnt++] = i;
}
}
}
void Nektar::StdRegions::StdQuadExp::v_GetCoords ( Array< OneD, NekDouble > &  coords_0,
Array< OneD, NekDouble > &  coords_1,
Array< OneD, NekDouble > &  coords_2 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 749 of file StdQuadExp.cpp.

References Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.

{
Array<OneD, const NekDouble> z0 = m_base[0]->GetZ();
Array<OneD, const NekDouble> z1 = m_base[1]->GetZ();
int nq0 = GetNumPoints(0);
int nq1 = GetNumPoints(1);
int i;
for(i = 0; i < nq1; ++i)
{
Blas::Dcopy(nq0,z0.get(), 1,&coords_0[0] + i*nq0,1);
Vmath::Fill(nq0,z1[i],&coords_1[0] + i*nq0,1);
}
}
LibUtilities::BasisType Nektar::StdRegions::StdQuadExp::v_GetEdgeBasisType ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 645 of file StdQuadExp.cpp.

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisType().

{
ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
if((i == 0)||(i == 2))
{
return GetBasisType(0);
}
else
{
return GetBasisType(1);
}
}
void Nektar::StdRegions::StdQuadExp::v_GetEdgeInteriorMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 998 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetEdgeBasisType(), Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs(), and Nektar::StdRegions::StdExpansion::m_base.

{
int i;
const int nummodes0 = m_base[0]->GetNumModes();
const int nummodes1 = m_base[1]->GetNumModes();
const int nEdgeIntCoeffs = GetEdgeNcoeffs(eid)-2;
const LibUtilities::BasisType bType = GetEdgeBasisType(eid);
if(maparray.num_elements() != nEdgeIntCoeffs)
{
maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
}
if(signarray.num_elements() != nEdgeIntCoeffs)
{
signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
}
else
{
fill( signarray.get() , signarray.get()+nEdgeIntCoeffs, 1 );
}
if(bType == LibUtilities::eModified_A)
{
switch(eid)
{
case 0:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = i+2;
}
if(edgeOrient==eBackwards)
{
for(i = 1; i < nEdgeIntCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 1:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = (i+2)*nummodes0 + 1;
}
if(edgeOrient==eBackwards)
{
for(i = 1; i < nEdgeIntCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 2:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = nummodes0+i+2;
}
if(edgeOrient==eForwards)
{
for(i = 1; i < nEdgeIntCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 3:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = (i+2)*nummodes0;
}
if(edgeOrient==eForwards)
{
for(i = 1; i < nEdgeIntCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
}
else if(bType == LibUtilities::eGLL_Lagrange)
{
switch(eid)
{
case 0:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = i+1;
}
}
break;
case 1:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = (i+2)*nummodes0 - 1;
}
}
break;
case 2:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = nummodes0*nummodes1 - 2 - i;
}
}
break;
case 3:
{
for(i = 0; i < nEdgeIntCoeffs; i++)
{
maparray[i] = nummodes0*(nummodes1-2-i);
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
if(edgeOrient == eBackwards)
{
reverse( maparray.get() , maparray.get()+nEdgeIntCoeffs );
}
}
else
{
ASSERTL0(false,"Mapping not defined for this type of basis");
}
}
int Nektar::StdRegions::StdQuadExp::v_GetEdgeNcoeffs ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 617 of file StdQuadExp.cpp.

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().

{
ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
if((i == 0)||(i == 2))
{
return GetBasisNumModes(0);
}
else
{
return GetBasisNumModes(1);
}
}
int Nektar::StdRegions::StdQuadExp::v_GetEdgeNumPoints ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 631 of file StdQuadExp.cpp.

References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetNumPoints().

{
ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
if((i == 0)||(i == 2))
{
return GetNumPoints(0);
}
else
{
return GetNumPoints(1);
}
}
void Nektar::StdRegions::StdQuadExp::v_GetEdgeToElementMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1148 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::StdRegions::eBackwards, Nektar::StdRegions::eForwards, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetEdgeBasisType(), Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs(), and Nektar::StdRegions::StdExpansion::m_base.

{
int i;
const int nummodes0 = m_base[0]->GetNumModes();
const int nummodes1 = m_base[1]->GetNumModes();
const int nEdgeCoeffs = GetEdgeNcoeffs(eid);
const LibUtilities::BasisType bType = GetEdgeBasisType(eid);
if(maparray.num_elements() != nEdgeCoeffs)
{
maparray = Array<OneD, unsigned int>(nEdgeCoeffs);
}
if(signarray.num_elements() != nEdgeCoeffs)
{
signarray = Array<OneD, int>(nEdgeCoeffs,1);
}
else
{
fill( signarray.get() , signarray.get()+nEdgeCoeffs, 1 );
}
if(bType == LibUtilities::eModified_A)
{
switch(eid)
{
case 0:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = i;
}
if(edgeOrient==eBackwards)
{
swap( maparray[0] , maparray[1] );
for(i = 3; i < nEdgeCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 1:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = i*nummodes0 + 1;
}
if(edgeOrient==eBackwards)
{
swap( maparray[0] , maparray[1] );
for(i = 3; i < nEdgeCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 2:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = nummodes0+i;
}
if(edgeOrient==eForwards)
{
swap( maparray[0] , maparray[1] );
for(i = 3; i < nEdgeCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
case 3:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = i*nummodes0;
}
if(edgeOrient==eForwards)
{
swap( maparray[0] , maparray[1] );
for(i = 3; i < nEdgeCoeffs; i+=2)
{
signarray[i] = -1;
}
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
}
else if(bType == LibUtilities::eGLL_Lagrange ||
bType == LibUtilities::eGauss_Lagrange)
{
switch(eid)
{
case 0:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = i;
}
}
break;
case 1:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = (i+1)*nummodes0 - 1;
}
}
break;
case 2:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = nummodes0*nummodes1 - 1 - i;
}
}
break;
case 3:
{
for(i = 0; i < nEdgeCoeffs; i++)
{
maparray[i] = nummodes0*(nummodes1-1-i);
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
if(edgeOrient == eBackwards)
{
reverse( maparray.get() , maparray.get()+nEdgeCoeffs );
}
}
else
{
ASSERTL0(false,"Mapping not defined for this type of basis");
}
}
void Nektar::StdRegions::StdQuadExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 837 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

{
int i,j;
int cnt=0;
int nummodes0, nummodes1;
int startvalue;
if(outarray.num_elements()!=GetNcoeffs()-NumBndryCoeffs())
{
outarray = Array<OneD, unsigned int>(GetNcoeffs()-NumBndryCoeffs());
}
nummodes0 = m_base[0]->GetNumModes();
nummodes1 = m_base[1]->GetNumModes();
const LibUtilities::BasisType Btype0 = GetBasisType(0);
const LibUtilities::BasisType Btype1 = GetBasisType(1);
switch(Btype1)
{
case LibUtilities::eGLL_Lagrange:
startvalue = nummodes0;
break;
case LibUtilities::eModified_A:
startvalue = 2*nummodes0;
break;
default:
ASSERTL0(0,"Mapping array is not defined for this expansion");
break;
}
switch(Btype0)
{
case LibUtilities::eGLL_Lagrange:
startvalue++;
break;
case LibUtilities::eModified_A:
startvalue+=2;
break;
default:
ASSERTL0(0,"Mapping array is not defined for this expansion");
break;
}
for(i = 0; i < nummodes1-2; i++)
{
for(j = 0; j < nummodes0-2; j++)
{
outarray[cnt++]=startvalue+j;
}
startvalue+=nummodes0;
}
}
int Nektar::StdRegions::StdQuadExp::v_GetNedges ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 612 of file StdQuadExp.cpp.

{
return 4;
}
int Nektar::StdRegions::StdQuadExp::v_GetNverts ( ) const
protectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 607 of file StdQuadExp.cpp.

{
return 4;
}
void Nektar::StdRegions::StdQuadExp::v_GetSimplexEquiSpacedConnectivity ( Array< OneD, int > &  conn,
bool  standard = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1634 of file StdQuadExp.cpp.

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

{
int np1 = m_base[0]->GetNumPoints();
int np2 = m_base[1]->GetNumPoints();
int np = max(np1,np2);
conn = Array<OneD, int>(6*(np-1)*(np-1));
int row = 0;
int rowp1 = 0;
int cnt = 0;
for(int i = 0; i < np-1; ++i)
{
rowp1 += np;
for(int j = 0; j < np-1; ++j)
{
conn[cnt++] = row +j;
conn[cnt++] = row +j+1;
conn[cnt++] = rowp1 +j;
conn[cnt++] = rowp1 +j+1;
conn[cnt++] = rowp1 +j;
conn[cnt++] = row +j+1;
}
row += np;
}
}
int Nektar::StdRegions::StdQuadExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 890 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::LibUtilities::eGLL_Lagrange, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.

{
int localDOF = 0;
if(useCoeffPacking == true)
{
switch(localVertexId)
{
case 0:
{
localDOF = 0;
}
break;
case 1:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes()-1;
}
else
{
localDOF = 1;
}
}
break;
case 2:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes() * (m_base[1]->GetNumModes()-1);
}
else
{
localDOF = m_base[0]->GetNumModes();
}
}
break;
case 3:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes()*m_base[1]->GetNumModes()-1;
}
else
{
localDOF = m_base[0]->GetNumModes()+1;
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
}
else
{
switch(localVertexId)
{
case 0:
{
localDOF = 0;
}
break;
case 1:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes()-1;
}
else
{
localDOF = 1;
}
}
break;
case 2:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes()*m_base[1]->GetNumModes()-1;
}
else
{
localDOF = m_base[0]->GetNumModes()+1;
}
}
break;
case 3:
{
if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
{
localDOF = m_base[0]->GetNumModes() * (m_base[1]->GetNumModes()-1);
}
else
{
localDOF = m_base[0]->GetNumModes();
}
}
break;
default:
ASSERTL0(false,"eid must be between 0 and 3");
break;
}
}
return localDOF;
}
void Nektar::StdRegions::StdQuadExp::v_HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1601 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::v_HelmholtzMatrixOp_MatFree().

{
StdQuadExp::v_HelmholtzMatrixOp_MatFree(inarray,outarray,mkey);
}
NekDouble Nektar::StdRegions::StdQuadExp::v_Integral ( const Array< OneD, const NekDouble > &  inarray)
protectedvirtual

Integrates the specified function over the domain.

See Also
StdRegions::StdExpansion::Integral.

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 76 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::Integral(), and Nektar::StdRegions::StdExpansion::m_base.

{
Array<OneD, const NekDouble> w0 = m_base[0]->GetW();
Array<OneD, const NekDouble> w1 = m_base[1]->GetW();
return StdExpansion2D::Integral(inarray,w0,w1);
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTBase ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Calculate the inner product of inarray with respect to the basis B=base0*base1 and put into outarray.

$ \begin{array}{rcl} I_{pq} = (\phi_q \phi_q, u) & = & \sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \phi_p(\xi_{0,i}) \phi_q(\xi_{1,j}) w^0_i w^1_j u(\xi_{0,i} \xi_{1,j}) \\ & = & \sum_{i=0}^{nq_0} \phi_p(\xi_{0,i}) \sum_{j=0}^{nq_1} \phi_q(\xi_{1,j}) \tilde{u}_{i,j} \end{array} $

where

$ \tilde{u}_{i,j} = w^0_i w^1_j u(\xi_{0,i},\xi_{1,j}) $

which can be implemented as

$ f_{qi} = \sum_{j=0}^{nq_1} \phi_q(\xi_{1,j}) \tilde{u}_{i,j} = {\bf B_1 U} $ $ I_{pq} = \sum_{i=0}^{nq_0} \phi_p(\xi_{0,i}) f_{qi} = {\bf B_0 F} $

Implements Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 379 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

{
if(m_base[0]->Collocation() && m_base[1]->Collocation())
{
MultiplyByQuadratureMetric(inarray,outarray);
}
else
{
StdQuadExp::v_IProductWRTBase_SumFac(inarray,outarray);
}
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTBase_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 413 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.

{
int nq = GetTotPoints();
StdMatrixKey iprodmatkey(eIProductWRTBase,DetShapeType(),*this);
DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 394 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().

Referenced by v_IProductWRTBase().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int order0 = m_base[0]->GetNumModes();
Array<OneD,NekDouble> tmp(nquad0*nquad1+nquad1*order0);
Array<OneD,NekDouble> wsp(tmp+nquad0*nquad1);
// multiply by integration constants
MultiplyByQuadratureMetric(inarray,tmp);
IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
m_base[1]->GetBdata(),
tmp,outarray,wsp,true,true);
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTBase_SumFacKernel ( const Array< OneD, const NekDouble > &  base0,
const Array< OneD, const NekDouble > &  base1,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp,
bool  doCheckCollDir0,
bool  doCheckCollDir1 
)
protectedvirtual

Implements Nektar::StdRegions::StdExpansion2D.

Definition at line 498 of file StdQuadExp.cpp.

References ASSERTL1, Vmath::Ddot(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

{
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int nmodes0 = m_base[0]->GetNumModes();
int nmodes1 = m_base[1]->GetNumModes();
bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
if(colldir0 && colldir1)
{
Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
}
else if(colldir0)
{
Blas::Dgemm('N', 'N',nmodes0,nmodes1, nquad1,1.0, inarray.get(),
nmodes0, base1.get(), nquad1, 0.0,outarray.get(),nmodes0);
}
else if(colldir1)
{
Blas::Dgemm('T','N',nmodes0,nquad1,nquad0,1.0,base0.get(),
nquad0,inarray.get(),nquad0,0.0,outarray.get(),nmodes0);
}
else
{
ASSERTL1(wsp.num_elements()>=nquad1*nmodes0,"Workspace size is not sufficient");
#if 1
Blas::Dgemm('T','N',nmodes0,nquad1,nquad0,1.0,base0.get(),
nquad0,inarray.get(),nquad0,0.0,wsp.get(),nmodes0);
#else
for(int i = 0; i < nmodes0; ++i)
{
for(int j = 0; j < nquad1; ++j)
{
wsp[j*nmodes0+i] = Blas::Ddot(nquad0,
base0.get()+i*nquad0,1,
inarray.get()+j*nquad0,1);
}
}
#endif
Blas::Dgemm('N', 'N',nmodes0,nmodes1, nquad1,1.0, wsp.get(),
nmodes0, base1.get(), nquad1, 0.0,outarray.get(),nmodes0);
}
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 425 of file StdQuadExp.cpp.

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

{
StdQuadExp::IProductWRTDerivBase_SumFac(dir,inarray,outarray);
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTDerivBase_MatOp ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 463 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eIProductWRTDerivBase0, Nektar::StdRegions::eIProductWRTDerivBase1, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::GetTotPoints(), and Nektar::StdRegions::StdExpansion::m_ncoeffs.

{
ASSERTL0((dir==0)||(dir==1),"input dir is out of range");
int nq = GetTotPoints();
MatrixType mtype;
if(dir) // dir == 1
{
mtype = eIProductWRTDerivBase1;
}
else // dir == 0
{
mtype = eIProductWRTDerivBase0;
}
StdMatrixKey iprodmatkey(mtype,DetShapeType(),*this);
DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
}
void Nektar::StdRegions::StdQuadExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 432 of file StdQuadExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().

{
ASSERTL0((dir==0)||(dir==1),"input dir is out of range");
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
int nqtot = nquad0*nquad1;
int order0 = m_base[0]->GetNumModes();
Array<OneD,NekDouble> tmp(nqtot+nquad1*order0);
Array<OneD,NekDouble> wsp(tmp+nqtot);
// multiply by integration constants
MultiplyByQuadratureMetric(inarray,tmp);
if(dir) // dir == 1
{
IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
m_base[1]->GetDbdata(),
tmp,outarray,wsp,true,false);
}
else // dir == 0
{
IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
m_base[1]->GetBdata(),
tmp,outarray,wsp,false,true);
}
}
bool Nektar::StdRegions::StdQuadExp::v_IsBoundaryInteriorExpansion ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 732 of file StdQuadExp.cpp.

References Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.

{
bool returnval = false;
if((m_base[0]->GetBasisType() == LibUtilities::eModified_A)
||(m_base[0]->GetBasisType() == LibUtilities::eGLL_Lagrange))
{
if((m_base[1]->GetBasisType() == LibUtilities::eModified_A)
||(m_base[1]->GetBasisType() == LibUtilities::eGLL_Lagrange))
{
returnval = true;
}
}
return returnval;
}
void Nektar::StdRegions::StdQuadExp::v_LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1577 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::v_LaplacianMatrixOp_MatFree().

{
StdQuadExp::v_LaplacianMatrixOp_MatFree(inarray,outarray,mkey);
}
void Nektar::StdRegions::StdQuadExp::v_LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1585 of file StdQuadExp.cpp.

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

{
StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,mkey);
}
void Nektar::StdRegions::StdQuadExp::v_LocCoordToLocCollapsed ( const Array< OneD, const NekDouble > &  xi,
Array< OneD, NekDouble > &  eta 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 558 of file StdQuadExp.cpp.

{
eta[0] = xi[0];
eta[1] = xi[1];
}
void Nektar::StdRegions::StdQuadExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1569 of file StdQuadExp.cpp.

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

{
StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
}
void Nektar::StdRegions::StdQuadExp::v_MultiplyByStdQuadratureMetric ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1609 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vmul().

{
int i;
int nquad0 = m_base[0]->GetNumPoints();
int nquad1 = m_base[1]->GetNumPoints();
const Array<OneD, const NekDouble>& w0 = m_base[0]->GetW();
const Array<OneD, const NekDouble>& w1 = m_base[1]->GetW();
// multiply by integration constants
for(i = 0; i < nquad1; ++i)
{
Vmath::Vmul(nquad0, inarray.get()+i*nquad0,1,
w0.get(),1,outarray.get()+i*nquad0,1);
}
for(i = 0; i < nquad0; ++i)
{
Vmath::Vmul(nquad1,outarray.get()+i,nquad0,w1.get(),1,
outarray.get()+i,nquad0);
}
}
int Nektar::StdRegions::StdQuadExp::v_NumBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 694 of file StdQuadExp.cpp.

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

{
ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
GetBasisType(0) == LibUtilities::eGLL_Lagrange||
GetBasisType(0) == LibUtilities::eGauss_Lagrange,
"BasisType is not a boundary interior form");
ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
GetBasisType(1) == LibUtilities::eGLL_Lagrange||
GetBasisType(0) == LibUtilities::eGauss_Lagrange,
"BasisType is not a boundary interior form");
return 4 + 2*(GetBasisNumModes(0)-2) + 2*(GetBasisNumModes(1)-2);
}
int Nektar::StdRegions::StdQuadExp::v_NumDGBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 708 of file StdQuadExp.cpp.

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

{
ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
GetBasisType(0) == LibUtilities::eGLL_Lagrange ||
GetBasisType(0) == LibUtilities::eGauss_Lagrange,
"BasisType is not a boundary interior form");
ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
GetBasisType(1) == LibUtilities::eGLL_Lagrange ||
GetBasisType(0) == LibUtilities::eGauss_Lagrange,
"BasisType is not a boundary interior form");
return 2*GetBasisNumModes(0) + 2*GetBasisNumModes(1);
}
void Nektar::StdRegions::StdQuadExp::v_PhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray 
)
protectedvirtual

Calculate the derivative of the physical points.

For quadrilateral region can use the Tensor_Deriv function defined under StdExpansion.

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 95 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion2D::PhysTensorDeriv().

Referenced by v_StdPhysDeriv().

{
PhysTensorDeriv(inarray, out_d0, out_d1);
}
void Nektar::StdRegions::StdQuadExp::v_PhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0 
)
protectedvirtual

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

See Also
StdRegions::StdExpansion::PhysDeriv

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 103 of file StdQuadExp.cpp.

References ASSERTL1, Nektar::NullNekDouble1DArray, and Nektar::StdRegions::StdExpansion2D::PhysTensorDeriv().

{
switch(dir)
{
case 0:
{
PhysTensorDeriv(inarray, outarray, NullNekDouble1DArray);
}
break;
case 1:
{
PhysTensorDeriv(inarray, NullNekDouble1DArray, outarray);
}
break;
default:
{
ASSERTL1(false,"input dir is out of range");
}
break;
}
}
void Nektar::StdRegions::StdQuadExp::v_ReduceOrderCoeffs ( int  numMin,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1519 of file StdQuadExp.cpp.

References Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eOrtho_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::InterpCoeff2D(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Vcopy(), and Vmath::Zero().

{
int n_coeffs = inarray.num_elements();
Array<OneD, NekDouble> coeff(n_coeffs);
Array<OneD, NekDouble> coeff_tmp(n_coeffs,0.0);
Array<OneD, NekDouble> tmp;
Array<OneD, NekDouble> tmp2;
int nmodes0 = m_base[0]->GetNumModes();
int nmodes1 = m_base[1]->GetNumModes();
int numMax = nmodes0;
Vmath::Vcopy(n_coeffs,inarray,1,coeff_tmp,1);
const LibUtilities::PointsKey Pkey0(
nmodes0, LibUtilities::eGaussLobattoLegendre);
const LibUtilities::PointsKey Pkey1(
nmodes1, LibUtilities::eGaussLobattoLegendre);
LibUtilities::BasisKey b0(m_base[0]->GetBasisType(),nmodes0,Pkey0);
LibUtilities::BasisKey b1(m_base[1]->GetBasisType(),nmodes1,Pkey1);
LibUtilities::BasisKey bortho0(LibUtilities::eOrtho_A,nmodes0,Pkey0);
LibUtilities::BasisKey bortho1(LibUtilities::eOrtho_A,nmodes1,Pkey1);
LibUtilities::InterpCoeff2D(
b0, b1, coeff_tmp, bortho0, bortho1, coeff);
Vmath::Zero(n_coeffs,coeff_tmp,1);
int cnt = 0;
for (int i = 0; i < numMin+1; ++i)
{
Vmath::Vcopy(numMin,
tmp = coeff+cnt,1,
tmp2 = coeff_tmp+cnt,1);
cnt = i*numMax;
}
LibUtilities::InterpCoeff2D(
bortho0, bortho1, coeff_tmp, b0, b1, outarray);
}
void Nektar::StdRegions::StdQuadExp::v_StdPhysDeriv ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  out_d0,
Array< OneD, NekDouble > &  out_d1,
Array< OneD, NekDouble > &  out_d2 = NullNekDouble1DArray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 127 of file StdQuadExp.cpp.

References v_PhysDeriv().

{
//PhysTensorDeriv(inarray, out_d0, out_d1);
StdQuadExp::v_PhysDeriv(inarray, out_d0, out_d1);
}
void Nektar::StdRegions::StdQuadExp::v_StdPhysDeriv ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 136 of file StdQuadExp.cpp.

References v_PhysDeriv().

{
//PhysTensorDeriv(inarray, outarray);
StdQuadExp::v_PhysDeriv(dir,inarray,outarray);
}
void Nektar::StdRegions::StdQuadExp::v_SVVLaplacianFilter ( Array< OneD, NekDouble > &  array,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1468 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), and Nektar::StdRegions::StdExpansion::m_base.

{
// Generate an orthonogal expansion
int qa = m_base[0]->GetNumPoints();
int qb = m_base[1]->GetNumPoints();
int nmodes_a = m_base[0]->GetNumModes();
int nmodes_b = m_base[1]->GetNumModes();
// Declare orthogonal basis.
LibUtilities::PointsKey pa(qa,m_base[0]->GetPointsType());
LibUtilities::PointsKey pb(qb,m_base[1]->GetPointsType());
LibUtilities::BasisKey Ba(LibUtilities::eOrtho_A,nmodes_a,pa);
LibUtilities::BasisKey Bb(LibUtilities::eOrtho_A,nmodes_b,pb);
StdQuadExp OrthoExp(Ba,Bb);
Array<OneD, NekDouble> orthocoeffs(OrthoExp.GetNcoeffs());
//for the "old" implementation
int cutoff = (int) (mkey.GetConstFactor(eFactorSVVCutoffRatio)*min(nmodes_a,nmodes_b));
//SVV parameters loaded from the .xml case file
NekDouble SvvDiffCoeff = mkey.GetConstFactor(eFactorSVVDiffCoeff);
// project onto modal space.
OrthoExp.FwdTrans(array,orthocoeffs);
//counters for scanning through orthocoeffs array
int j, k, cnt = 0;
int nmodes = min(nmodes_a,nmodes_b);
//------"New" Version August 22nd '13--------------------
for(j = 0; j < nmodes_a; ++j)
{
for(k = 0; k < nmodes_b; ++k)
{
if(j + k >= cutoff) //to filter out only the "high-modes"
{
orthocoeffs[j*nmodes_b+k] *=
(1.0+SvvDiffCoeff*exp(-(j+k-nmodes)*(j+k-nmodes)/
((NekDouble)((j+k-cutoff+1)*
(j+k-cutoff+1)))));
}
cnt++;
}
}
// backward transform to physical space
OrthoExp.BwdTrans(orthocoeffs,array);
}
void Nektar::StdRegions::StdQuadExp::v_WeakDerivMatrixOp ( const int  i,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1593 of file StdQuadExp.cpp.

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

{
StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,mkey);
}
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