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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. More...
 
 StdQuadExp (const StdQuadExp &T)
 Copy Constructor. More...
 
 ~StdQuadExp ()
 Destructor. More...
 
- 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. More...
 
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. More...
 
 StdExpansion (const int numcoeffs, const int numbases, const LibUtilities::BasisKey &Ba=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bb=LibUtilities::NullBasisKey, const LibUtilities::BasisKey &Bc=LibUtilities::NullBasisKey)
 Constructor. More...
 
 StdExpansion (const StdExpansion &T)
 Copy Constructor. More...
 
virtual ~StdExpansion ()
 Destructor. More...
 
int GetNumBases () const
 This function returns the number of 1D bases used in the expansion. More...
 
const Array< OneD, const
LibUtilities::BasisSharedPtr > & 		GetBase () const
 This function gets the shared point to basis. More...
 
const
LibUtilities::BasisSharedPtr & 		GetBasis (int dir) const
 This function gets the shared point to basis in the dir direction. More...
 
int GetNcoeffs (void) const
 This function returns the total number of coefficients used in the expansion. More...
 
int GetTotPoints () const
 This function returns the total number of quadrature points used in the element. More...
 
LibUtilities::BasisType GetBasisType (const int dir) const
 This function returns the type of basis used in the dir direction. More...
 
int GetBasisNumModes (const int dir) const
 This function returns the number of expansion modes in the dir direction. More...
 
int EvalBasisNumModesMax (void) const
 This function returns the maximum number of expansion modes over all local directions. More...
 
LibUtilities::PointsType GetPointsType (const int dir) const
 This function returns the type of quadrature points used in the dir direction. More...
 
int GetNumPoints (const int dir) const
 This function returns the number of quadrature points in the dir direction. More...
 
const Array< OneD, const
NekDouble > & 		GetPoints (const int dir) const
 This function returns a pointer to the array containing the quadrature points in dir direction. More...
 
int GetNverts () const
 This function returns the number of vertices of the expansion domain. More...
 
int GetNedges () const
 This function returns the number of edges of the expansion domain. More...
 
int GetEdgeNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge. More...
 
int GetTotalEdgeIntNcoeffs () const
 
int GetEdgeNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th edge. More...
 
int DetCartesianDirOfEdge (const int edge)
 
const LibUtilities::BasisKey DetEdgeBasisKey (const int i) const
 
const LibUtilities::BasisKey DetFaceBasisKey (const int i, const int k) const
 
int GetFaceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th face. More...
 
int GetFaceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th face. More...
 
int GetFaceIntNcoeffs (const int i) const
 
int GetTotalFaceIntNcoeffs () const
 
int GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th edge/face. More...
 
LibUtilities::PointsKey GetFacePointsKey (const int i, const int j) const
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
LibUtilities::BasisType GetEdgeBasisType (const int i) const
 This function returns the type of expansion basis on the i-th edge. More...
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNfaces () const
 This function returns the number of faces of the expansion domain. More...
 
int GetNtrace () const
 Returns the number of trace elements connected to this element. More...
 
LibUtilities::ShapeType DetShapeType () const
 This function returns the shape of the expansion domain. More...
 
boost::shared_ptr< StdExpansion > GetStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion ()
 
bool IsNodalNonTensorialExp ()
 
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space. More...
 
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space. More...
 
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 This function integrates the specified function over the domain. More...
 
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion. More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
 
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
IndexMapValuesSharedPtr GetIndexMap (const IndexMapKey &ikey)
 
const Array< OneD, const
NekDouble > & 		GetPhysNormals (void)
 
void SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void SetUpPhysNormals (const int edge)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
StdRegions::Orientation GetForient (int face)
 
StdRegions::Orientation GetEorient (int edge)
 
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, int P=-1)
 
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...
 
void GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)
 
void GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray)
 Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...
 
void GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)
 
void GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)
 
void GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$ More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
void AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
 
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
 
const boost::shared_ptr
< SpatialDomains::GeomFactors > & 		GetMetricInfo (void) const
 
virtual int v_GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
virtual 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. More...
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual StdRegions::Orientation v_GetEorient (int edge)
 
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. More...
 
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
const 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)
 
bool FaceNormalNegated (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, int npset=-1)
 This function performs an interpolation from the physical space points provided at input into an array of equispaced points which are not the collapsed coordinate. So for a tetrahedron you will only get a tetrahedral number of values. More...
 
void GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 This function provides the connectivity of local simplices (triangles or tets) to connect the equispaced data points provided by PhysInterpToSimplexEquiSpaced. More...
 
void EquiSpacedToCoeffs (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs a projection/interpolation from the equispaced points sometimes used in post-processing onto the coefficient space. More...
 
template<class T >
boost::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 

Protected Member Functions

NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain. More...
 
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. More...
 
virtual void v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculate the derivative of the physical points in a given direction. More...
 
virtual void v_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. More...
 
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. More...
 
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
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. More...
 
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, int P=-1)
 
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. More...
 
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 int v_GetTraceNcoeffs (const int i) const
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More...
 
void BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
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 48 of file StdQuadExp.cpp.

49  {
50  }
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 55 of file StdQuadExp.cpp.

56  :
57  StdExpansion (Ba.GetNumModes()*Bb.GetNumModes(),2,Ba,Bb),
58  StdExpansion2D(Ba.GetNumModes()*Bb.GetNumModes(),Ba,Bb)
59  {
60  }
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::StdRegions::StdQuadExp::StdQuadExp ( const StdQuadExp &  T)

Copy Constructor.

Definition at line 63 of file StdQuadExp.cpp.

63  :
64  StdExpansion(T),
65  StdExpansion2D(T)
66  {
67  }
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::StdRegions::StdQuadExp::~StdQuadExp ( )

Destructor.

Definition at line 70 of file StdQuadExp.cpp.

71  {
72  }

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 152 of file StdQuadExp.cpp.

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

154  {
155  if(m_base[0]->Collocation() && m_base[1]->Collocation())
156  {
157  Vmath::Vcopy(m_base[0]->GetNumPoints() * m_base[1]->GetNumPoints(),
158  inarray, 1, outarray, 1);
159  }
160  else
161  {
162  StdQuadExp::v_BwdTrans_SumFac(inarray,outarray);
163  }
164  }
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
Nektar::StdRegions::StdQuadExp::v_BwdTrans_SumFac
virtual void v_BwdTrans_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdQuadExp.cpp:166
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
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 166 of file StdQuadExp.cpp.

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

Referenced by v_BwdTrans().

169  {
170  Array<OneD, NekDouble> wsp(m_base[0]->GetNumPoints()*
171  m_base[1]->GetNumModes());
172 
173  BwdTrans_SumFacKernel(m_base[0]->GetBdata(),
174  m_base[1]->GetBdata(),
175  inarray,outarray,wsp,true,true);
176  }
Nektar::StdRegions::StdExpansion2D::BwdTrans_SumFacKernel
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)
Definition: StdExpansion2D.cpp:188
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 188 of file StdQuadExp.cpp.

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

196  {
197  int nquad0 = m_base[0]->GetNumPoints();
198  int nquad1 = m_base[1]->GetNumPoints();
199  int nmodes0 = m_base[0]->GetNumModes();
200  int nmodes1 = m_base[1]->GetNumModes();
201 
202  bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
203  bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
204 
205  if(colldir0 && colldir1)
206  {
207  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
208  }
209  else if(colldir0)
210  {
211  Blas::Dgemm('N','T', nquad0, nquad1,nmodes1, 1.0, &inarray[0], nquad0,
212  base1.get(), nquad1, 0.0, &outarray[0], nquad0);
213  }
214  else if(colldir1)
215  {
216  Blas::Dgemm('N','N', nquad0,nmodes1,nmodes0,1.0, base0.get(),
217  nquad0, &inarray[0], nmodes0,0.0,&outarray[0], nquad0);
218  }
219  else
220  {
221  ASSERTL1(wsp.num_elements()>=nquad0*nmodes1,"Workspace size is not sufficient");
222 
223  // Those two calls correpsond to the operation
224  // out = B0*in*Transpose(B1);
225  Blas::Dgemm('N','N', nquad0,nmodes1,nmodes0,1.0, base0.get(),
226  nquad0, &inarray[0], nmodes0,0.0,&wsp[0], nquad0);
227  Blas::Dgemm('N','T', nquad0, nquad1,nmodes1, 1.0, &wsp[0], nquad0,
228  base1.get(), nquad1, 0.0, &outarray[0], nquad0);
229  }
230  }
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
int Nektar::StdRegions::StdQuadExp::v_CalcNumberOfCoefficients ( const std::vector< unsigned int > &  nummodes,
int &  modes_offset 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 733 of file StdQuadExp.cpp.

736  {
737  int nmodes = nummodes[modes_offset]*nummodes[modes_offset+1];
738  modes_offset += 2;
739 
740  return nmodes;
741  }
DNekMatSharedPtr Nektar::StdRegions::StdQuadExp::v_CreateStdMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1503 of file StdQuadExp.cpp.

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

1504  {
1505  return GenMatrix(mkey);
1506  }
Nektar::StdRegions::StdExpansion::GenMatrix
DNekMatSharedPtr GenMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:1049
int Nektar::StdRegions::StdQuadExp::v_DetCartesianDirOfEdge ( const int  edge)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 670 of file StdQuadExp.cpp.

References ASSERTL2.

671  {
672  ASSERTL2((edge >= 0)&&(edge <= 3),"edge id is out of range");
673 
674  if((edge == 0)||(edge == 2))
675  {
676  return 0;
677  }
678  else
679  {
680  return 1;
681  }
682  }
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
const LibUtilities::BasisKey Nektar::StdRegions::StdQuadExp::v_DetEdgeBasisKey ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 684 of file StdQuadExp.cpp.

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

685  {
686  ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
687 
688  if((i == 0)||(i == 2))
689  {
690  return GetBasis(0)->GetBasisKey();
691  }
692  else
693  {
694  return GetBasis(1)->GetBasisKey();
695  }
696 
697  }
Nektar::StdRegions::StdExpansion::GetBasis
const LibUtilities::BasisSharedPtr & GetBasis(int dir) const
This function gets the shared point to basis in the dir direction.
Definition: StdExpansion.h:118
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
LibUtilities::ShapeType Nektar::StdRegions::StdQuadExp::v_DetShapeType ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 699 of file StdQuadExp.cpp.

References Nektar::LibUtilities::eQuadrilateral.

700  {
701  return LibUtilities::eQuadrilateral;
702  };
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 582 of file StdQuadExp.cpp.

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

584  {
585  int i;
586  int nquad0 = m_base[0]->GetNumPoints();
587  int nquad1 = m_base[1]->GetNumPoints();
588  Array<OneD, const NekDouble> base0 = m_base[0]->GetBdata();
589  Array<OneD, const NekDouble> base1 = m_base[1]->GetBdata();
590  int btmp0 = m_base[0]->GetNumModes();
591  int mode0 = mode%btmp0;
592  int mode1 = mode/btmp0;
593 
594 
595  ASSERTL2(mode1 == (int)floor((1.0*mode)/btmp0),
596  "Integer Truncation not Equiv to Floor");
597 
598  ASSERTL2(m_ncoeffs <= mode,
599  "calling argument mode is larger than total expansion order");
600 
601  for(i = 0; i < nquad1; ++i)
602  {
603  Vmath::Vcopy(nquad0,(NekDouble *)(base0.get() + mode0*nquad0),
604  1, &outarray[0]+i*nquad0,1);
605  }
606 
607  for(i = 0; i < nquad0; ++i)
608  {
609  Vmath::Vmul(nquad1,(NekDouble *)(base1.get() + mode1*nquad1),1,
610  &outarray[0]+i,nquad0,&outarray[0]+i,nquad0);
611  }
612  }
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
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 233 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().

235  {
236  if((m_base[0]->Collocation())&&(m_base[1]->Collocation()))
237  {
238  Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
239  }
240  else
241  {
242  StdQuadExp::v_IProductWRTBase(inarray,outarray);
243 
244  // get Mass matrix inverse
245  StdMatrixKey masskey(eInvMass,DetShapeType(),*this);
246  DNekMatSharedPtr matsys = GetStdMatrix(masskey);
247 
248  // copy inarray in case inarray == outarray
249  NekVector<NekDouble> in(m_ncoeffs,outarray,eCopy);
250  NekVector<NekDouble> out(m_ncoeffs,outarray,eWrapper);
251 
252  out = (*matsys)*in;
253  }
254  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::StdRegions::StdQuadExp::v_IProductWRTBase
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...
Definition: StdQuadExp.cpp:381
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
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 256 of file StdQuadExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), 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().

259  {
260  if((m_base[0]->Collocation())&&(m_base[1]->Collocation()))
261  {
262  Vmath::Vcopy(m_ncoeffs, inarray, 1, outarray, 1);
263  }
264  else
265  {
266  int i,j;
267  int npoints[2] = {m_base[0]->GetNumPoints(),
268  m_base[1]->GetNumPoints()};
269  int nmodes[2] = {m_base[0]->GetNumModes(),
270  m_base[1]->GetNumModes()};
271 
272  fill(outarray.get(), outarray.get()+m_ncoeffs, 0.0 );
273 
274  Array<OneD, NekDouble> physEdge[4];
275  Array<OneD, NekDouble> coeffEdge[4];
276  for(i = 0; i < 4; i++)
277  {
278  physEdge[i] = Array<OneD, NekDouble>(npoints[i%2]);
279  coeffEdge[i] = Array<OneD, NekDouble>(nmodes[i%2]);
280  }
281 
282  for(i = 0; i < npoints[0]; i++)
283  {
284  physEdge[0][i] = inarray[i];
285  physEdge[2][i] = inarray[npoints[0]*npoints[1]-1-i];
286  }
287 
288  for(i = 0; i < npoints[1]; i++)
289  {
290  physEdge[1][i] = inarray[npoints[0]-1+i*npoints[0]];
291  physEdge[3][i] = inarray[(npoints[1]-1)*npoints[0]-i*npoints[0]];
292  }
293 
294  StdSegExpSharedPtr segexp[2] = {MemoryManager<StdRegions::StdSegExp>::AllocateSharedPtr(m_base[0]->GetBasisKey()),
295  MemoryManager<StdRegions::StdSegExp>::AllocateSharedPtr(m_base[1]->GetBasisKey())};
296 
297  Array<OneD, unsigned int> mapArray;
298  Array<OneD, int> signArray;
299  NekDouble sign;
300 
301  for(i = 0; i < 4; i++)
302  {
303  segexp[i%2]->FwdTrans_BndConstrained(physEdge[i],coeffEdge[i]);
304 
305  GetEdgeToElementMap(i,eForwards,mapArray,signArray);
306  for(j=0; j < nmodes[i%2]; j++)
307  {
308  sign = (NekDouble) signArray[j];
309  outarray[ mapArray[j] ] = sign * coeffEdge[i][j];
310  }
311  }
312 
313  Array<OneD, NekDouble> tmp0(m_ncoeffs);
314  Array<OneD, NekDouble> tmp1(m_ncoeffs);
315 
316  StdMatrixKey masskey(eMass,DetShapeType(),*this);
317  MassMatrixOp(outarray,tmp0,masskey);
318  IProductWRTBase(inarray,tmp1);
319 
320  Vmath::Vsub(m_ncoeffs, tmp1, 1, tmp0, 1, tmp1, 1);
321 
322  // get Mass matrix inverse (only of interior DOF)
323  // use block (1,1) of the static condensed system
324  // note: this block alreay contains the inverse matrix
325  DNekMatSharedPtr matsys = (m_stdStaticCondMatrixManager[masskey])->GetBlock(1,1);
326 
327  int nBoundaryDofs = NumBndryCoeffs();
328  int nInteriorDofs = m_ncoeffs - nBoundaryDofs;
329 
330 
331  Array<OneD, NekDouble> rhs(nInteriorDofs);
332  Array<OneD, NekDouble> result(nInteriorDofs);
333 
334  GetInteriorMap(mapArray);
335 
336  for(i = 0; i < nInteriorDofs; i++)
337  {
338  rhs[i] = tmp1[ mapArray[i] ];
339  }
340 
341  Blas::Dgemv('N',nInteriorDofs,nInteriorDofs,1.0, &(matsys->GetPtr())[0],
342  nInteriorDofs,rhs.get(),1,0.0,result.get(),1);
343 
344  for(i = 0; i < nInteriorDofs; i++)
345  {
346  outarray[ mapArray[i] ] = result[i];
347  }
348  }
349 
350  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::StdExpansion::MassMatrixOp
void MassMatrixOp(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:971
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
sign
#define sign(a, b)
return the sign(b)*a
Definition: Polylib.cpp:22
Nektar::StdRegions::StdExpansion::IProductWRTBase
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 expa...
Definition: StdExpansion.h:629
Nektar::StdRegions::StdExpansion::m_stdStaticCondMatrixManager
LibUtilities::NekManager< StdMatrixKey, DNekBlkMat, StdMatrixKey::opLess > m_stdStaticCondMatrixManager
Definition: StdExpansion.h:1426
Nektar::StdRegions::StdSegExpSharedPtr
boost::shared_ptr< StdSegExp > StdSegExpSharedPtr
Definition: StdSegExp.h:47
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetInteriorMap
void GetInteriorMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:821
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Vmath::Vsub
void Vsub(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Subtract vector z = x-y.
Definition: Vmath.cpp:329
Nektar::StdRegions::StdExpansion::GetEdgeToElementMap
void GetEdgeToElementMap(const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)
Definition: StdExpansion.h:846
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::StdRegions::StdQuadExp::v_GeneralMatrixOp_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdMatrixKey &  mkey 
)
protected

Definition at line 1512 of file StdQuadExp.cpp.

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

1516  {
1517 
1518  DNekMatSharedPtr mat = m_stdMatrixManager[mkey];
1519 
1520  if(inarray.get() == outarray.get())
1521  {
1522  Array<OneD,NekDouble> tmp(m_ncoeffs);
1523  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
1524 
1525  Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
1526  m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
1527  }
1528  else
1529  {
1530  Blas::Dgemv('N', m_ncoeffs, m_ncoeffs, 1.0, mat->GetPtr().get(),
1531  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
1532  }
1533  }
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::m_stdMatrixManager
LibUtilities::NekManager< StdMatrixKey, DNekMat, StdMatrixKey::opLess > m_stdMatrixManager
Definition: StdExpansion.h:1425
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
DNekMatSharedPtr Nektar::StdRegions::StdQuadExp::v_GenMatrix ( const StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1367 of file StdQuadExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::BasisManager(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eFactorConst, 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::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::LibUtilities::StdQuadData::getNumberOfCoefficients(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Smul(), and Vmath::Vcopy().

1368  {
1369  int i;
1370  int order0 = GetBasisNumModes(0);
1371  int order1 = GetBasisNumModes(1);
1372  MatrixType mtype = mkey.GetMatrixType();
1373 
1374  DNekMatSharedPtr Mat;
1375 
1376  switch(mtype)
1377  {
1378  case ePhysInterpToEquiSpaced:
1379  {
1380  int nq0 = m_base[0]->GetNumPoints();
1381  int nq1 = m_base[1]->GetNumPoints();
1382  int nq;
1383 
1384  // take definition from key
1385  if(mkey.ConstFactorExists(eFactorConst))
1386  {
1387  nq = (int) mkey.GetConstFactor(eFactorConst);
1388  }
1389  else
1390  {
1391  nq = max(nq0,nq1);
1392  }
1393 
1394  int neq = LibUtilities::StdQuadData::
1395  getNumberOfCoefficients(nq, nq);
1396  Array<OneD, Array<OneD, NekDouble> > coords(neq);
1397  Array<OneD, NekDouble> coll (2);
1398  Array<OneD, DNekMatSharedPtr> I (2);
1399  Array<OneD, NekDouble> tmp (nq0);
1400 
1401  Mat = MemoryManager<DNekMat>::
1402  AllocateSharedPtr(neq, nq0 * nq1);
1403  int cnt = 0;
1404 
1405  for(int i = 0; i < nq; ++i)
1406  {
1407  for(int j = 0; j < nq; ++j,++cnt)
1408  {
1409  coords[cnt] = Array<OneD, NekDouble>(2);
1410  coords[cnt][0] = -1.0 + 2*j/(NekDouble)(nq-1);
1411  coords[cnt][1] = -1.0 + 2*i/(NekDouble)(nq-1);
1412  }
1413  }
1414 
1415  for(int i = 0; i < neq; ++i)
1416  {
1417  LocCoordToLocCollapsed(coords[i],coll);
1418 
1419  I[0] = m_base[0]->GetI(coll);
1420  I[1] = m_base[1]->GetI(coll+1);
1421 
1422  // interpolate first coordinate direction
1423  for (int j = 0; j < nq1; ++j)
1424  {
1425  NekDouble fac = (I[1]->GetPtr())[j];
1426  Vmath::Smul(nq0,fac,I[0]->GetPtr(),1,tmp,1);
1427 
1428  Vmath::Vcopy(nq0, &tmp[0], 1,
1429  Mat->GetRawPtr()+j*nq0*neq+i,neq);
1430  }
1431 
1432  }
1433  break;
1434  }
1435  case eMass:
1436  {
1437  Mat = StdExpansion::CreateGeneralMatrix(mkey);
1438  // For Fourier basis set the imaginary component of mean mode
1439  // to have a unit diagonal component in mass matrix
1440  if(m_base[0]->GetBasisType() == LibUtilities::eFourier)
1441  {
1442  for(i = 0; i < order1; ++i)
1443  {
1444  (*Mat)(order0*i+1,i*order0+1) = 1.0;
1445  }
1446  }
1447 
1448  if(m_base[1]->GetBasisType() == LibUtilities::eFourier)
1449  {
1450  for(i = 0; i < order0; ++i)
1451  {
1452  (*Mat)(order0+i ,order0+i) = 1.0;
1453  }
1454  }
1455  break;
1456  }
1457  case eFwdTrans:
1458  {
1459  Mat = MemoryManager<DNekMat>::AllocateSharedPtr(m_ncoeffs,m_ncoeffs);
1460  StdMatrixKey iprodkey(eIProductWRTBase,DetShapeType(),*this);
1461  DNekMat &Iprod = *GetStdMatrix(iprodkey);
1462  StdMatrixKey imasskey(eInvMass,DetShapeType(),*this);
1463  DNekMat &Imass = *GetStdMatrix(imasskey);
1464 
1465  (*Mat) = Imass*Iprod;
1466  break;
1467  }
1468  case eGaussDG:
1469  {
1470  ConstFactorMap factors = mkey.GetConstFactors();
1471 
1472  int edge = (int)factors[StdRegions::eFactorGaussEdge];
1473  int dir = (edge + 1) % 2;
1474  int nCoeffs = m_base[dir]->GetNumModes();
1475 
1476  const LibUtilities::PointsKey BS_p(
1477  nCoeffs, LibUtilities::eGaussGaussLegendre);
1478  const LibUtilities::BasisKey BS_k(
1479  LibUtilities::eGauss_Lagrange, nCoeffs, BS_p);
1480 
1481  Array<OneD, NekDouble> coords(1, 0.0);
1482  coords[0] = (edge == 0 || edge == 3) ? -1.0 : 1.0;
1483 
1484  LibUtilities::BasisSharedPtr basis =
1485  LibUtilities::BasisManager()[BS_k];
1486  DNekMatSharedPtr m_Ix = basis->GetI(coords);
1487 
1488  Mat = MemoryManager<DNekMat>::AllocateSharedPtr(
1489  1.0, nCoeffs);
1490  Vmath::Vcopy(nCoeffs, m_Ix->GetPtr(), 1, Mat->GetPtr(), 1);
1491  break;
1492  }
1493  default:
1494  {
1495  Mat = StdExpansion::CreateGeneralMatrix(mkey);
1496  break;
1497  }
1498  }
1499 
1500  return Mat;
1501  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::LibUtilities::eGauss_Lagrange
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed
void LocCoordToLocCollapsed(const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
Convert local cartesian coordinate xi into local collapsed coordinates eta.
Definition: StdExpansion.h:1173
Nektar::StdRegions::ConstFactorMap
std::map< ConstFactorType, NekDouble > ConstFactorMap
Definition: StdRegions.hpp:251
Nektar::LibUtilities::eFourier
Fourier Expansion .
Definition: BasisType.h:52
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::LibUtilities::eGaussGaussLegendre
1D Gauss-Gauss-Legendre quadrature points
Definition: PointsType.h:47
Nektar::LibUtilities::BasisManager
BasisManagerT & BasisManager(void)
Definition: ManagerAccess.cpp:97
Vmath::Smul
void Smul(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha*y.
Definition: Vmath.cpp:199
Nektar::StdRegions::StdExpansion::CreateGeneralMatrix
DNekMatSharedPtr CreateGeneralMatrix(const StdMatrixKey &mkey)
this function generates the mass matrix
Definition: StdExpansion.cpp:322
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::LibUtilities::StdQuadData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb)
Definition: ShapeType.hpp:132
Nektar::LibUtilities::BasisSharedPtr
boost::shared_ptr< Basis > BasisSharedPtr
Definition: FoundationsFwd.hpp:79
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
void Nektar::StdRegions::StdQuadExp::v_GetBoundaryMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 781 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().

782  {
783  int i;
784  int cnt=0;
785  int nummodes0, nummodes1;
786  int value1 = 0, value2 = 0;
787  if(outarray.num_elements()!=NumBndryCoeffs())
788  {
789  outarray = Array<OneD, unsigned int>(NumBndryCoeffs());
790  }
791 
792  nummodes0 = m_base[0]->GetNumModes();
793  nummodes1 = m_base[1]->GetNumModes();
794 
795  const LibUtilities::BasisType Btype0 = GetBasisType(0);
796  const LibUtilities::BasisType Btype1 = GetBasisType(1);
797 
798  switch(Btype1)
799  {
800  case LibUtilities::eGLL_Lagrange:
801  case LibUtilities::eGauss_Lagrange:
802  value1 = nummodes0;
803  break;
804  case LibUtilities::eModified_A:
805  value1 = 2*nummodes0;
806  break;
807  default:
808  ASSERTL0(0,"Mapping array is not defined for this expansion");
809  break;
810  }
811 
812  for(i = 0; i < value1; i++)
813  {
814  outarray[i]=i;
815  }
816  cnt=value1;
817 
818  switch(Btype0)
819  {
820  case LibUtilities::eGLL_Lagrange:
821  case LibUtilities::eGauss_Lagrange:
822  value2 = value1+nummodes0-1;
823  break;
824  case LibUtilities::eModified_A:
825  value2 = value1+1;
826  break;
827  default:
828  ASSERTL0(0,"Mapping array is not defined for this expansion");
829  break;
830  }
831 
832  for(i = 0; i < nummodes1-2; i++)
833  {
834  outarray[cnt++]=value1+i*nummodes0;
835  outarray[cnt++]=value2+i*nummodes0;
836  }
837 
838 
839  if(Btype1 == LibUtilities::eGLL_Lagrange || Btype1 == LibUtilities::eGauss_Lagrange )
840  {
841  for(i = nummodes0*(nummodes1-1);i < GetNcoeffs(); i++)
842  {
843  outarray[cnt++] = i;
844  }
845  }
846  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eGauss_Lagrange
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 760 of file StdQuadExp.cpp.

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

763  {
764  Array<OneD, const NekDouble> z0 = m_base[0]->GetZ();
765  Array<OneD, const NekDouble> z1 = m_base[1]->GetZ();
766  int nq0 = GetNumPoints(0);
767  int nq1 = GetNumPoints(1);
768  int i;
769 
770  for(i = 0; i < nq1; ++i)
771  {
772  Blas::Dcopy(nq0,z0.get(), 1,&coords_0[0] + i*nq0,1);
773  Vmath::Fill(nq0,z1[i],&coords_1[0] + i*nq0,1);
774  }
775  }
Vmath::Fill
void Fill(int n, const T alpha, T *x, const int incx)
Fill a vector with a constant value.
Definition: Vmath.cpp:46
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
LibUtilities::BasisType Nektar::StdRegions::StdQuadExp::v_GetEdgeBasisType ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 656 of file StdQuadExp.cpp.

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

657  {
658  ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
659 
660  if((i == 0)||(i == 2))
661  {
662  return GetBasisType(0);
663  }
664  else
665  {
666  return GetBasisType(1);
667  }
668  }
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
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 1009 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.

1013  {
1014  int i;
1015  const int nummodes0 = m_base[0]->GetNumModes();
1016  const int nummodes1 = m_base[1]->GetNumModes();
1017  const int nEdgeIntCoeffs = GetEdgeNcoeffs(eid)-2;
1018  const LibUtilities::BasisType bType = GetEdgeBasisType(eid);
1019 
1020  if(maparray.num_elements() != nEdgeIntCoeffs)
1021  {
1022  maparray = Array<OneD, unsigned int>(nEdgeIntCoeffs);
1023  }
1024 
1025  if(signarray.num_elements() != nEdgeIntCoeffs)
1026  {
1027  signarray = Array<OneD, int>(nEdgeIntCoeffs,1);
1028  }
1029  else
1030  {
1031  fill( signarray.get() , signarray.get()+nEdgeIntCoeffs, 1 );
1032  }
1033 
1034  if(bType == LibUtilities::eModified_A)
1035  {
1036  switch(eid)
1037  {
1038  case 0:
1039  {
1040  for(i = 0; i < nEdgeIntCoeffs; i++)
1041  {
1042  maparray[i] = i+2;
1043  }
1044 
1045  if(edgeOrient==eBackwards)
1046  {
1047  for(i = 1; i < nEdgeIntCoeffs; i+=2)
1048  {
1049  signarray[i] = -1;
1050  }
1051  }
1052  }
1053  break;
1054  case 1:
1055  {
1056  for(i = 0; i < nEdgeIntCoeffs; i++)
1057  {
1058  maparray[i] = (i+2)*nummodes0 + 1;
1059  }
1060 
1061  if(edgeOrient==eBackwards)
1062  {
1063  for(i = 1; i < nEdgeIntCoeffs; i+=2)
1064  {
1065  signarray[i] = -1;
1066  }
1067  }
1068  }
1069  break;
1070  case 2:
1071  {
1072  for(i = 0; i < nEdgeIntCoeffs; i++)
1073  {
1074  maparray[i] = nummodes0+i+2;
1075  }
1076 
1077  if(edgeOrient==eForwards)
1078  {
1079  for(i = 1; i < nEdgeIntCoeffs; i+=2)
1080  {
1081  signarray[i] = -1;
1082  }
1083  }
1084  }
1085  break;
1086  case 3:
1087  {
1088  for(i = 0; i < nEdgeIntCoeffs; i++)
1089  {
1090  maparray[i] = (i+2)*nummodes0;
1091  }
1092 
1093  if(edgeOrient==eForwards)
1094  {
1095  for(i = 1; i < nEdgeIntCoeffs; i+=2)
1096  {
1097  signarray[i] = -1;
1098  }
1099  }
1100  }
1101  break;
1102  default:
1103  ASSERTL0(false,"eid must be between 0 and 3");
1104  break;
1105  }
1106  }
1107  else if(bType == LibUtilities::eGLL_Lagrange)
1108  {
1109  switch(eid)
1110  {
1111  case 0:
1112  {
1113  for(i = 0; i < nEdgeIntCoeffs; i++)
1114  {
1115  maparray[i] = i+1;
1116  }
1117  }
1118  break;
1119  case 1:
1120  {
1121  for(i = 0; i < nEdgeIntCoeffs; i++)
1122  {
1123  maparray[i] = (i+2)*nummodes0 - 1;
1124  }
1125  }
1126  break;
1127  case 2:
1128  {
1129  for(i = 0; i < nEdgeIntCoeffs; i++)
1130  {
1131  maparray[i] = nummodes0*nummodes1 - 2 - i;
1132  }
1133  }
1134  break;
1135  case 3:
1136  {
1137  for(i = 0; i < nEdgeIntCoeffs; i++)
1138  {
1139  maparray[i] = nummodes0*(nummodes1-2-i);
1140  }
1141  }
1142  break;
1143  default:
1144  ASSERTL0(false,"eid must be between 0 and 3");
1145  break;
1146  }
1147  if(edgeOrient == eBackwards)
1148  {
1149  reverse( maparray.get() , maparray.get()+nEdgeIntCoeffs );
1150  }
1151  }
1152  else
1153  {
1154  ASSERTL0(false,"Mapping not defined for this type of basis");
1155  }
1156 
1157  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
Nektar::StdRegions::StdExpansion::GetEdgeBasisType
LibUtilities::BasisType GetEdgeBasisType(const int i) const
This function returns the type of expansion basis on the i-th edge.
Definition: StdExpansion.h:413
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdQuadExp::v_GetEdgeNcoeffs ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 628 of file StdQuadExp.cpp.

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

629  {
630  ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
631 
632  if((i == 0)||(i == 2))
633  {
634  return GetBasisNumModes(0);
635  }
636  else
637  {
638  return GetBasisNumModes(1);
639  }
640  }
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
int Nektar::StdRegions::StdQuadExp::v_GetEdgeNumPoints ( const int  i) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 642 of file StdQuadExp.cpp.

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

643  {
644  ASSERTL2((i >= 0)&&(i <= 3),"edge id is out of range");
645 
646  if((i == 0)||(i == 2))
647  {
648  return GetNumPoints(0);
649  }
650  else
651  {
652  return GetNumPoints(1);
653  }
654  }
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:213
void Nektar::StdRegions::StdQuadExp::v_GetEdgeToElementMap ( const int  eid,
const Orientation  edgeOrient,
Array< OneD, unsigned int > &  maparray,
Array< OneD, int > &  signarray,
int  P = -1 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1159 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(), and Nektar::StdRegions::StdExpansion::m_base.

1165  {
1166  int i;
1167  int numModes;
1168  int order0 = m_base[0]->GetNumModes();
1169  int order1 = m_base[1]->GetNumModes();
1170 
1171  switch (eid)
1172  {
1173  case 0:
1174  case 2:
1175  numModes = order0;
1176  break;
1177  case 1:
1178  case 3:
1179  numModes = order1;
1180  }
1181 
1182  bool checkForZeroedModes = false;
1183  if (P == -1)
1184  {
1185  P = numModes;
1186  }
1187  else if(P != numModes)
1188  {
1189  checkForZeroedModes = true;
1190  }
1191  const LibUtilities::BasisType bType = GetEdgeBasisType(eid);
1192 
1193 
1194  if (maparray.num_elements() != P)
1195  {
1196  maparray = Array<OneD, unsigned int>(P);
1197  }
1198 
1199  if(signarray.num_elements() != P)
1200  {
1201  signarray = Array<OneD, int>(P, 1);
1202  }
1203  else
1204  {
1205  fill(signarray.get(), signarray.get()+P, 1);
1206  }
1207 
1208  if (bType == LibUtilities::eModified_A)
1209  {
1210  switch (eid)
1211  {
1212  case 0:
1213  {
1214  for (i = 0; i < P; i++)
1215  {
1216  maparray[i] = i;
1217  }
1218 
1219  if (edgeOrient == eBackwards)
1220  {
1221  swap(maparray[0], maparray[1]);
1222 
1223  for(i = 3; i < P; i+=2)
1224  {
1225  signarray[i] = -1;
1226  }
1227  }
1228  }
1229  break;
1230  case 1:
1231  {
1232  for (i = 0; i < P; i++)
1233  {
1234  maparray[i] = i*order0 + 1;
1235  }
1236 
1237  if (edgeOrient == eBackwards)
1238  {
1239  swap(maparray[0], maparray[1]);
1240 
1241  for(i = 3; i < P; i+=2)
1242  {
1243  signarray[i] = -1;
1244  }
1245  }
1246  }
1247  break;
1248  case 2:
1249  {
1250  for (i = 0; i < P; i++)
1251  {
1252  maparray[i] = order0+i;
1253  }
1254 
1255  if (edgeOrient == eForwards)
1256  {
1257  swap(maparray[0], maparray[1]);
1258 
1259  for (i = 3; i < P; i+=2)
1260  {
1261  signarray[i] = -1;
1262  }
1263  }
1264  }
1265  break;
1266  case 3:
1267  {
1268  for (i = 0; i < P; i++)
1269  {
1270  maparray[i] = i*order0;
1271  }
1272 
1273  if (edgeOrient == eForwards)
1274  {
1275  swap(maparray[0], maparray[1]);
1276 
1277  for (i = 3; i < P; i+=2)
1278  {
1279  signarray[i] = -1;
1280  }
1281  }
1282  }
1283  break;
1284  default:
1285  ASSERTL0(false, "eid must be between 0 and 3");
1286  break;
1287  }
1288  }
1289  else if(bType == LibUtilities::eGLL_Lagrange ||
1290  bType == LibUtilities::eGauss_Lagrange)
1291  {
1292  switch (eid)
1293  {
1294  case 0:
1295  {
1296  for (i = 0; i < P; i++)
1297  {
1298  maparray[i] = i;
1299  }
1300  }
1301  break;
1302  case 1:
1303  {
1304  for (i = 0; i < P; i++)
1305  {
1306  maparray[i] = (i+1)*order0 - 1;
1307  }
1308  }
1309  break;
1310  case 2:
1311  {
1312  for (i = 0; i < P; i++)
1313  {
1314  maparray[i] = order0*order1 - 1 - i;
1315  }
1316  }
1317  break;
1318  case 3:
1319  {
1320  for (i = 0; i < P; i++)
1321  {
1322  maparray[i] = order0*(order1-1-i);
1323  }
1324  }
1325  break;
1326  default:
1327  ASSERTL0(false, "eid must be between 0 and 3");
1328  break;
1329  }
1330  if (edgeOrient == eBackwards)
1331  {
1332  reverse(maparray.get(), maparray.get()+P);
1333  }
1334  }
1335  else
1336  {
1337  ASSERTL0(false, "Mapping not defined for this type of basis");
1338  }
1339 
1340  if (checkForZeroedModes)
1341  {
1342  if (bType == LibUtilities::eModified_A)
1343  {
1344  // Zero signmap and set maparray to zero if
1345  // elemental modes are not as large as face modesl
1346  for (int j = numModes; j < P; j++)
1347  {
1348  signarray[j] = 0.0;
1349  maparray[j] = maparray[0];
1350  }
1351  }
1352  else
1353  {
1354  ASSERTL0(false, "Different trace space edge dimension "
1355  "and element edge dimension not possible "
1356  "for GLL-Lagrange bases");
1357  }
1358  }
1359  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eGauss_Lagrange
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
Nektar::StdRegions::StdExpansion::GetEdgeBasisType
LibUtilities::BasisType GetEdgeBasisType(const int i) const
This function returns the type of expansion basis on the i-th edge.
Definition: StdExpansion.h:413
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
void Nektar::StdRegions::StdQuadExp::v_GetInteriorMap ( Array< OneD, unsigned int > &  outarray)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 848 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().

849  {
850  int i,j;
851  int cnt=0;
852  int nummodes0, nummodes1;
853  int startvalue;
854  if(outarray.num_elements()!=GetNcoeffs()-NumBndryCoeffs())
855  {
856  outarray = Array<OneD, unsigned int>(GetNcoeffs()-NumBndryCoeffs());
857  }
858 
859  nummodes0 = m_base[0]->GetNumModes();
860  nummodes1 = m_base[1]->GetNumModes();
861 
862  const LibUtilities::BasisType Btype0 = GetBasisType(0);
863  const LibUtilities::BasisType Btype1 = GetBasisType(1);
864 
865  switch(Btype1)
866  {
867  case LibUtilities::eGLL_Lagrange:
868  startvalue = nummodes0;
869  break;
870  case LibUtilities::eModified_A:
871  startvalue = 2*nummodes0;
872  break;
873  default:
874  ASSERTL0(0,"Mapping array is not defined for this expansion");
875  break;
876  }
877 
878  switch(Btype0)
879  {
880  case LibUtilities::eGLL_Lagrange:
881  startvalue++;
882  break;
883  case LibUtilities::eModified_A:
884  startvalue+=2;
885  break;
886  default:
887  ASSERTL0(0,"Mapping array is not defined for this expansion");
888  break;
889  }
890 
891  for(i = 0; i < nummodes1-2; i++)
892  {
893  for(j = 0; j < nummodes0-2; j++)
894  {
895  outarray[cnt++]=startvalue+j;
896  }
897  startvalue+=nummodes0;
898  }
899  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdQuadExp::v_GetNedges ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 623 of file StdQuadExp.cpp.

624  {
625  return 4;
626  }
int Nektar::StdRegions::StdQuadExp::v_GetNverts ( ) const
protectedvirtual

Implements Nektar::StdRegions::StdExpansion.

Definition at line 618 of file StdQuadExp.cpp.

619  {
620  return 4;
621  }
void Nektar::StdRegions::StdQuadExp::v_GetSimplexEquiSpacedConnectivity ( Array< OneD, int > &  conn,
bool  standard = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1750 of file StdQuadExp.cpp.

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

1753  {
1754  int np1 = m_base[0]->GetNumPoints();
1755  int np2 = m_base[1]->GetNumPoints();
1756  int np = max(np1,np2);
1757 
1758  conn = Array<OneD, int>(6*(np-1)*(np-1));
1759 
1760  int row = 0;
1761  int rowp1 = 0;
1762  int cnt = 0;
1763  for(int i = 0; i < np-1; ++i)
1764  {
1765  rowp1 += np;
1766  for(int j = 0; j < np-1; ++j)
1767  {
1768  conn[cnt++] = row +j;
1769  conn[cnt++] = row +j+1;
1770  conn[cnt++] = rowp1 +j;
1771 
1772  conn[cnt++] = rowp1 +j+1;
1773  conn[cnt++] = rowp1 +j;
1774  conn[cnt++] = row +j+1;
1775  }
1776  row += np;
1777  }
1778  }
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
int Nektar::StdRegions::StdQuadExp::v_GetVertexMap ( int  localVertexId,
bool  useCoeffPacking = false 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 901 of file StdQuadExp.cpp.

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

902  {
903  int localDOF = 0;
904 
905  if(useCoeffPacking == true)
906  {
907  switch(localVertexId)
908  {
909  case 0:
910  {
911  localDOF = 0;
912  }
913  break;
914  case 1:
915  {
916  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
917  {
918  localDOF = m_base[0]->GetNumModes()-1;
919  }
920  else
921  {
922  localDOF = 1;
923  }
924  }
925  break;
926  case 2:
927  {
928  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
929  {
930  localDOF = m_base[0]->GetNumModes() * (m_base[1]->GetNumModes()-1);
931  }
932  else
933  {
934  localDOF = m_base[0]->GetNumModes();
935  }
936  }
937  break;
938  case 3:
939  {
940  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
941  {
942  localDOF = m_base[0]->GetNumModes()*m_base[1]->GetNumModes()-1;
943  }
944  else
945  {
946  localDOF = m_base[0]->GetNumModes()+1;
947  }
948  }
949  break;
950  default:
951  ASSERTL0(false,"eid must be between 0 and 3");
952  break;
953  }
954 
955  }
956  else
957  {
958  switch(localVertexId)
959  {
960  case 0:
961  {
962  localDOF = 0;
963  }
964  break;
965  case 1:
966  {
967  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
968  {
969  localDOF = m_base[0]->GetNumModes()-1;
970  }
971  else
972  {
973  localDOF = 1;
974  }
975  }
976  break;
977  case 2:
978  {
979  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
980  {
981  localDOF = m_base[0]->GetNumModes()*m_base[1]->GetNumModes()-1;
982  }
983  else
984  {
985  localDOF = m_base[0]->GetNumModes()+1;
986  }
987  }
988  break;
989  case 3:
990  {
991  if(m_base[0]->GetBasisType()==LibUtilities::eGLL_Lagrange)
992  {
993  localDOF = m_base[0]->GetNumModes() * (m_base[1]->GetNumModes()-1);
994  }
995  else
996  {
997  localDOF = m_base[0]->GetNumModes();
998  }
999  }
1000  break;
1001  default:
1002  ASSERTL0(false,"eid must be between 0 and 3");
1003  break;
1004  }
1005  }
1006  return localDOF;
1007  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 1717 of file StdQuadExp.cpp.

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

1720  {
1721  StdQuadExp::v_HelmholtzMatrixOp_MatFree(inarray,outarray,mkey);
1722  }
Nektar::StdRegions::StdExpansion2D::v_HelmholtzMatrixOp_MatFree
virtual void v_HelmholtzMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: StdExpansion2D.cpp:261
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 78 of file StdQuadExp.cpp.

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

80  {
81  Array<OneD, const NekDouble> w0 = m_base[0]->GetW();
82  Array<OneD, const NekDouble> w1 = m_base[1]->GetW();
83 
84  return StdExpansion2D::Integral(inarray,w0,w1);
85  }
Nektar::StdRegions::StdExpansion2D::Integral
NekDouble Integral(const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &w0, const Array< OneD, const NekDouble > &w1)
Definition: StdExpansion2D.cpp:161
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 381 of file StdQuadExp.cpp.

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

Referenced by v_FwdTrans().

384  {
385  if(m_base[0]->Collocation() && m_base[1]->Collocation())
386  {
387  MultiplyByQuadratureMetric(inarray,outarray);
388  }
389  else
390  {
391  StdQuadExp::v_IProductWRTBase_SumFac(inarray,outarray);
392  }
393  }
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
Nektar::StdRegions::StdQuadExp::v_IProductWRTBase_SumFac
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
Definition: StdQuadExp.cpp:395
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 424 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.

427  {
428  int nq = GetTotPoints();
429  StdMatrixKey iprodmatkey(eIProductWRTBase,DetShapeType(),*this);
430  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
431 
432  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
433  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
434  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
void Nektar::StdRegions::StdQuadExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 395 of file StdQuadExp.cpp.

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

Referenced by v_IProductWRTBase().

399  {
400  int nquad0 = m_base[0]->GetNumPoints();
401  int nquad1 = m_base[1]->GetNumPoints();
402  int order0 = m_base[0]->GetNumModes();
403 
404  if(multiplybyweights)
405  {
406  Array<OneD,NekDouble> tmp(nquad0*nquad1+nquad1*order0);
407  Array<OneD,NekDouble> wsp(tmp+nquad0*nquad1);
408 
409  // multiply by integration constants
410  MultiplyByQuadratureMetric(inarray,tmp);
411  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
412  m_base[1]->GetBdata(),
413  tmp,outarray,wsp,true,true);
414  }
415  else
416  {
417  Array<OneD,NekDouble> wsp(nquad1*order0);
418  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
419  m_base[1]->GetBdata(),
420  inarray,outarray,wsp,true,true);
421  }
422  }
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel
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)
Definition: StdExpansion2D.cpp:200
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 509 of file StdQuadExp.cpp.

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

517  {
518  int nquad0 = m_base[0]->GetNumPoints();
519  int nquad1 = m_base[1]->GetNumPoints();
520  int nmodes0 = m_base[0]->GetNumModes();
521  int nmodes1 = m_base[1]->GetNumModes();
522 
523  bool colldir0 = doCheckCollDir0?(m_base[0]->Collocation()):false;
524  bool colldir1 = doCheckCollDir1?(m_base[1]->Collocation()):false;
525 
526  if(colldir0 && colldir1)
527  {
528  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,outarray.get(),1);
529  }
530  else if(colldir0)
531  {
532  Blas::Dgemm('N', 'N',nmodes0,nmodes1, nquad1,1.0, inarray.get(),
533  nmodes0, base1.get(), nquad1, 0.0,outarray.get(),nmodes0);
534  }
535  else if(colldir1)
536  {
537  Blas::Dgemm('T','N',nmodes0,nquad1,nquad0,1.0,base0.get(),
538  nquad0,inarray.get(),nquad0,0.0,outarray.get(),nmodes0);
539  }
540  else
541  {
542  ASSERTL1(wsp.num_elements()>=nquad1*nmodes0,"Workspace size is not sufficient");
543 
544 #if 1
545  Blas::Dgemm('T','N',nmodes0,nquad1,nquad0,1.0,base0.get(),
546  nquad0,inarray.get(),nquad0,0.0,wsp.get(),nmodes0);
547 
548 #else
549  for(int i = 0; i < nmodes0; ++i)
550  {
551  for(int j = 0; j < nquad1; ++j)
552  {
553  wsp[j*nmodes0+i] = Blas::Ddot(nquad0,
554  base0.get()+i*nquad0,1,
555  inarray.get()+j*nquad0,1);
556  }
557  }
558 #endif
559  Blas::Dgemm('N', 'N',nmodes0,nmodes1, nquad1,1.0, wsp.get(),
560  nmodes0, base1.get(), nquad1, 0.0,outarray.get(),nmodes0);
561  }
562  }
Vmath::Ddot
T Ddot(int n, const Array< OneD, const T > &w, const int incw, const Array< OneD, const T > &x, const int incx, const Array< OneD, const int > &y, const int incy)
Definition: VmathArray.hpp:434
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
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 436 of file StdQuadExp.cpp.

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

439  {
440  StdQuadExp::IProductWRTDerivBase_SumFac(dir,inarray,outarray);
441  }
Nektar::StdRegions::StdExpansion::IProductWRTDerivBase_SumFac
void IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:1467
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 474 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.

477  {
478  ASSERTL0((dir==0)||(dir==1),"input dir is out of range");
479 
480  int nq = GetTotPoints();
481  MatrixType mtype;
482 
483  if(dir) // dir == 1
484  {
485  mtype = eIProductWRTDerivBase1;
486  }
487  else // dir == 0
488  {
489  mtype = eIProductWRTDerivBase0;
490  }
491 
492  StdMatrixKey iprodmatkey(mtype,DetShapeType(),*this);
493  DNekMatSharedPtr iprodmat = GetStdMatrix(iprodmatkey);
494 
495  Blas::Dgemv('N',m_ncoeffs,nq,1.0,iprodmat->GetPtr().get(),
496  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
497  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:700
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
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 443 of file StdQuadExp.cpp.

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

446  {
447  ASSERTL0((dir==0)||(dir==1),"input dir is out of range");
448 
449  int nquad0 = m_base[0]->GetNumPoints();
450  int nquad1 = m_base[1]->GetNumPoints();
451  int nqtot = nquad0*nquad1;
452  int order0 = m_base[0]->GetNumModes();
453 
454  Array<OneD,NekDouble> tmp(nqtot+nquad1*order0);
455  Array<OneD,NekDouble> wsp(tmp+nqtot);
456 
457  // multiply by integration constants
458  MultiplyByQuadratureMetric(inarray,tmp);
459 
460  if(dir) // dir == 1
461  {
462  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
463  m_base[1]->GetDbdata(),
464  tmp,outarray,wsp,true,false);
465  }
466  else // dir == 0
467  {
468  IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
469  m_base[1]->GetBdata(),
470  tmp,outarray,wsp,false,true);
471  }
472  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:942
Nektar::StdRegions::StdExpansion2D::IProductWRTBase_SumFacKernel
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)
Definition: StdExpansion2D.cpp:200
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
bool Nektar::StdRegions::StdQuadExp::v_IsBoundaryInteriorExpansion ( )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 743 of file StdQuadExp.cpp.

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

744  {
745  bool returnval = false;
746 
747  if((m_base[0]->GetBasisType() == LibUtilities::eModified_A)
748  ||(m_base[0]->GetBasisType() == LibUtilities::eGLL_Lagrange))
749  {
750  if((m_base[1]->GetBasisType() == LibUtilities::eModified_A)
751  ||(m_base[1]->GetBasisType() == LibUtilities::eGLL_Lagrange))
752  {
753  returnval = true;
754  }
755  }
756 
757  return returnval;
758  }
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
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 1693 of file StdQuadExp.cpp.

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

1697  {
1698  StdQuadExp::v_LaplacianMatrixOp_MatFree(inarray,outarray,mkey);
1699  }
Nektar::StdRegions::StdExpansion2D::v_LaplacianMatrixOp_MatFree
virtual void v_LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: StdExpansion2D.cpp:212
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 1701 of file StdQuadExp.cpp.

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

1705  {
1706  StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,mkey);
1707  }
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:1489
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 569 of file StdQuadExp.cpp.

571  {
572  eta[0] = xi[0];
573  eta[1] = xi[1];
574  }
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 1685 of file StdQuadExp.cpp.

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

1689  {
1690  StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
1691  }
Nektar::StdRegions::StdExpansion::MassMatrixOp_MatFree
void MassMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:668
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 1725 of file StdQuadExp.cpp.

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

1728  {
1729  int i;
1730  int nquad0 = m_base[0]->GetNumPoints();
1731  int nquad1 = m_base[1]->GetNumPoints();
1732 
1733  const Array<OneD, const NekDouble>& w0 = m_base[0]->GetW();
1734  const Array<OneD, const NekDouble>& w1 = m_base[1]->GetW();
1735 
1736  // multiply by integration constants
1737  for(i = 0; i < nquad1; ++i)
1738  {
1739  Vmath::Vmul(nquad0, inarray.get()+i*nquad0,1,
1740  w0.get(),1,outarray.get()+i*nquad0,1);
1741  }
1742 
1743  for(i = 0; i < nquad0; ++i)
1744  {
1745  Vmath::Vmul(nquad1,outarray.get()+i,nquad0,w1.get(),1,
1746  outarray.get()+i,nquad0);
1747  }
1748  }
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
int Nektar::StdRegions::StdQuadExp::v_NumBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 705 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().

706  {
707  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
708  GetBasisType(0) == LibUtilities::eGLL_Lagrange||
709  GetBasisType(0) == LibUtilities::eGauss_Lagrange,
710  "BasisType is not a boundary interior form");
711  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
712  GetBasisType(1) == LibUtilities::eGLL_Lagrange||
713  GetBasisType(0) == LibUtilities::eGauss_Lagrange,
714  "BasisType is not a boundary interior form");
715 
716  return 4 + 2*(GetBasisNumModes(0)-2) + 2*(GetBasisNumModes(1)-2);
717  }
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eGauss_Lagrange
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
int Nektar::StdRegions::StdQuadExp::v_NumDGBndryCoeffs ( ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 719 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().

720  {
721  ASSERTL1(GetBasisType(0) == LibUtilities::eModified_A ||
722  GetBasisType(0) == LibUtilities::eGLL_Lagrange ||
723  GetBasisType(0) == LibUtilities::eGauss_Lagrange,
724  "BasisType is not a boundary interior form");
725  ASSERTL1(GetBasisType(1) == LibUtilities::eModified_A ||
726  GetBasisType(1) == LibUtilities::eGLL_Lagrange ||
727  GetBasisType(0) == LibUtilities::eGauss_Lagrange,
728  "BasisType is not a boundary interior form");
729 
730  return 2*GetBasisNumModes(0) + 2*GetBasisNumModes(1);
731  }
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eGauss_Lagrange
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Nektar::LibUtilities::eGLL_Lagrange
Lagrange for SEM basis .
Definition: BasisType.h:53
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
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 97 of file StdQuadExp.cpp.

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

Referenced by v_StdPhysDeriv().

101  {
102  PhysTensorDeriv(inarray, out_d0, out_d1);
103  }
Nektar::StdRegions::StdExpansion2D::PhysTensorDeriv
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...
Definition: StdExpansion2D.cpp:72
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 105 of file StdQuadExp.cpp.

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

108  {
109  switch(dir)
110  {
111  case 0:
112  {
113  PhysTensorDeriv(inarray, outarray, NullNekDouble1DArray);
114  }
115  break;
116  case 1:
117  {
118  PhysTensorDeriv(inarray, NullNekDouble1DArray, outarray);
119  }
120  break;
121  default:
122  {
123  ASSERTL1(false,"input dir is out of range");
124  }
125  break;
126  }
127  }
Nektar::NullNekDouble1DArray
static Array< OneD, NekDouble > NullNekDouble1DArray
Definition: SharedArray.hpp:784
Nektar::StdRegions::StdExpansion2D::PhysTensorDeriv
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...
Definition: StdExpansion2D.cpp:72
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
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 1635 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().

1639  {
1640  int n_coeffs = inarray.num_elements();
1641 
1642 
1643  Array<OneD, NekDouble> coeff(n_coeffs);
1644  Array<OneD, NekDouble> coeff_tmp(n_coeffs,0.0);
1645  Array<OneD, NekDouble> tmp;
1646  Array<OneD, NekDouble> tmp2;
1647 
1648  int nmodes0 = m_base[0]->GetNumModes();
1649  int nmodes1 = m_base[1]->GetNumModes();
1650  int numMax = nmodes0;
1651 
1652  Vmath::Vcopy(n_coeffs,inarray,1,coeff_tmp,1);
1653 
1654  const LibUtilities::PointsKey Pkey0(
1655  nmodes0, LibUtilities::eGaussLobattoLegendre);
1656  const LibUtilities::PointsKey Pkey1(
1657  nmodes1, LibUtilities::eGaussLobattoLegendre);
1658 
1659  LibUtilities::BasisKey b0(m_base[0]->GetBasisType(),nmodes0,Pkey0);
1660  LibUtilities::BasisKey b1(m_base[1]->GetBasisType(),nmodes1,Pkey1);
1661 
1662  LibUtilities::BasisKey bortho0(LibUtilities::eOrtho_A,nmodes0,Pkey0);
1663  LibUtilities::BasisKey bortho1(LibUtilities::eOrtho_A,nmodes1,Pkey1);
1664 
1665  LibUtilities::InterpCoeff2D(
1666  b0, b1, coeff_tmp, bortho0, bortho1, coeff);
1667 
1668  Vmath::Zero(n_coeffs,coeff_tmp,1);
1669 
1670  int cnt = 0;
1671  for (int i = 0; i < numMin+1; ++i)
1672  {
1673  Vmath::Vcopy(numMin,
1674  tmp = coeff+cnt,1,
1675  tmp2 = coeff_tmp+cnt,1);
1676 
1677  cnt = i*numMax;
1678  }
1679 
1680  LibUtilities::InterpCoeff2D(
1681  bortho0, bortho1, coeff_tmp, b0, b1, outarray);
1682  }
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::StdRegions::StdExpansion::GetBasisType
LibUtilities::BasisType GetBasisType(const int dir) const
This function returns the type of basis used in the dir direction.
Definition: StdExpansion.h:165
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Nektar::LibUtilities::InterpCoeff2D
void InterpCoeff2D(const BasisKey &fbasis0, const BasisKey &fbasis1, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, Array< OneD, NekDouble > &to)
Definition: InterpCoeff.cpp:73
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
Nektar::LibUtilities::eGaussLobattoLegendre
1D Gauss-Lobatto-Legendre quadrature points
Definition: PointsType.h:50
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 129 of file StdQuadExp.cpp.

References v_PhysDeriv().

133  {
134  //PhysTensorDeriv(inarray, out_d0, out_d1);
135  StdQuadExp::v_PhysDeriv(inarray, out_d0, out_d1);
136  }
Nektar::StdRegions::StdQuadExp::v_PhysDeriv
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.
Definition: StdQuadExp.cpp:97
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 138 of file StdQuadExp.cpp.

References v_PhysDeriv().

141  {
142  //PhysTensorDeriv(inarray, outarray);
143  StdQuadExp::v_PhysDeriv(dir,inarray,outarray);
144 
145  }
Nektar::StdRegions::StdQuadExp::v_PhysDeriv
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.
Definition: StdQuadExp.cpp:97
void Nektar::StdRegions::StdQuadExp::v_SVVLaplacianFilter ( Array< OneD, NekDouble > &  array,
const StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::QuadExp.

Definition at line 1536 of file StdQuadExp.cpp.

References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::StdRegions::eVarCoeffLaplacian, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdMatrixKey::GetVarCoeff(), Nektar::StdRegions::StdMatrixKey::HasVarCoeff(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Vmul(), and Vmath::Vsqrt().

1538  {
1539  // Generate an orthonogal expansion
1540  int qa = m_base[0]->GetNumPoints();
1541  int qb = m_base[1]->GetNumPoints();
1542  int nmodes_a = m_base[0]->GetNumModes();
1543  int nmodes_b = m_base[1]->GetNumModes();
1544  int nmodes = min(nmodes_a,nmodes_b);
1545  // Declare orthogonal basis.
1546  LibUtilities::PointsKey pa(qa,m_base[0]->GetPointsType());
1547  LibUtilities::PointsKey pb(qb,m_base[1]->GetPointsType());
1548 
1549  LibUtilities::BasisKey Ba(LibUtilities::eOrtho_A,nmodes_a,pa);
1550  LibUtilities::BasisKey Bb(LibUtilities::eOrtho_A,nmodes_b,pb);
1551  StdQuadExp OrthoExp(Ba,Bb);
1552 
1553  //SVV parameters loaded from the .xml case file
1554  NekDouble SvvDiffCoeff = mkey.GetConstFactor(eFactorSVVDiffCoeff);
1555  Array<OneD, NekDouble> orthocoeffs(OrthoExp.GetNcoeffs());
1556 
1557  if(mkey.HasVarCoeff(eVarCoeffLaplacian)) // Rodrigo's svv mapping
1558  {
1559  Array<OneD, NekDouble> sqrt_varcoeff(qa*qb);
1560  Array<OneD, NekDouble> tmp(qa*qb);
1561 
1562  Vmath::Vsqrt(qa * qb,
1563  mkey.GetVarCoeff(eVarCoeffLaplacian), 1,
1564  sqrt_varcoeff, 1);
1565 
1566  //Vmath::Fill(qa*qb,Vmath::Vmax(qa*qb,sqrt_varcoeff,1),
1567  //sqrt_varcoeff,1);
1568 
1569  // multiply by sqrt(Variable Coefficient) containing h v /p
1570  Vmath::Vmul(qa*qb,sqrt_varcoeff,1,array,1,tmp,1);
1571 
1572  // project onto modal space.
1573  OrthoExp.FwdTrans(tmp,orthocoeffs);
1574 
1575  for(int j = 0; j < nmodes_a; ++j)
1576  {
1577  for(int k = 0; k < nmodes_b; ++k)
1578  {
1579  // linear space but makes high modes very negative
1580  orthocoeffs[j*nmodes_b+k] *=
1581  (1.0+SvvDiffCoeff*
1582  pow(j/(nmodes_a-1)+k/(nmodes_b-1),0.5*nmodes));
1583  // bilinear blend
1584  //orthocoeffs[j*nmodes_b+k] *=
1585  //(1.0 + SvvDiffCoeff
1586  // *pow(j/(NekDouble)(nmodes_a-1.0),0.5*nmodes)
1587  // *pow(k/(NekDouble)(nmodes_b-1.0),0.5*nmodes));
1588  }
1589  }
1590 
1591  // backward transform to physical space
1592  OrthoExp.BwdTrans(orthocoeffs,tmp);
1593 
1594  // multiply by sqrt(Variable Coefficient) containing h v /p
1595  // - split to keep symmetry
1596  Vmath::Vmul(qa*qb,sqrt_varcoeff,1,tmp,1,array,1);
1597  }
1598  else
1599  {
1600  //for the "old" implementation
1601  int cutoff = (int) (mkey.GetConstFactor(eFactorSVVCutoffRatio)*
1602  min(nmodes_a,nmodes_b));
1603 
1604  // project onto modal space.
1605  OrthoExp.FwdTrans(array,orthocoeffs);
1606 
1607  //counters for scanning through orthocoeffs array
1608  int j, k, cnt = 0;
1609 
1610  //------"New" Version August 22nd '13--------------------
1611  for(j = 0; j < nmodes_a; ++j)
1612  {
1613  for(k = 0; k < nmodes_b; ++k)
1614  {
1615  if(j + k >= cutoff)//to filter out only the "high-modes"
1616  {
1617  orthocoeffs[j*nmodes_b+k] *=
1618  (SvvDiffCoeff*exp(-(j+k-nmodes)*(j+k-nmodes)/
1619  ((NekDouble)((j+k-cutoff+1)*
1620  (j+k-cutoff+1)))));
1621  }
1622  else
1623  {
1624  orthocoeffs[j*nmodes_b+k] *= 0.0;
1625  }
1626  cnt++;
1627  }
1628  }
1629 
1630  // backward transform to physical space
1631  OrthoExp.BwdTrans(orthocoeffs,array);
1632  }
1633  }
Vmath::Vsqrt
void Vsqrt(int n, const T *x, const int incx, T *y, const int incy)
sqrt y = sqrt(x)
Definition: Vmath.cpp:394
Nektar::LibUtilities::eOrtho_A
Principle Orthogonal Functions .
Definition: BasisType.h:46
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::GetPointsType
LibUtilities::PointsType GetPointsType(const int dir) const
This function returns the type of quadrature points used in the dir direction.
Definition: StdExpansion.h:216
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1422
Vmath::Vmul
void Vmul(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Multiply vector z = x*y.
Definition: Vmath.cpp:169
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 1709 of file StdQuadExp.cpp.

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

1713  {
1714  StdExpansion::WeakDerivMatrixOp_MatFree(i,inarray,outarray,mkey);
1715  }
Nektar::StdRegions::StdExpansion::WeakDerivMatrixOp_MatFree
void WeakDerivMatrixOp_MatFree(const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.cpp:785
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