Nektar++
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Friends Macros Pages
Public Member Functions | Protected Member Functions | Private Member Functions | Private Attributes | List of all members
Nektar::LocalRegions::PrismExp Class Reference

#include <PrismExp.h>

Inheritance diagram for Nektar::LocalRegions::PrismExp:
Inheritance graph
[legend]
Collaboration diagram for Nektar::LocalRegions::PrismExp:
Collaboration graph
[legend]

Public Member Functions

 PrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, const SpatialDomains::PrismGeomSharedPtr &geom)
 Constructor using BasisKey class for quadrature points and order definition. More...
 
 PrismExp (const PrismExp &T)
 
 ~PrismExp ()
 
- Public Member Functions inherited from Nektar::StdRegions::StdPrismExp
 StdPrismExp ()
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys)
 
 StdPrismExp (const StdPrismExp &T)
 
 ~StdPrismExp ()
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion3D
 StdExpansion3D ()
 
 StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc)
 
 StdExpansion3D (const StdExpansion3D &T)
 
virtual ~StdExpansion3D ()
 
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3)
 Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More...
 
void BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
void IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion
 StdExpansion ()
 Default Constructor. 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
 
boost::shared_ptr< StdExpansion > GetLinStdExp (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)
 
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
int GetCoordim ()
 
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
void GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)
 
void GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)
 
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...
 
void GetEdgePhysVals (const int edge, const 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_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 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)
 
- Public Member Functions inherited from Nektar::LocalRegions::Expansion3D
 Expansion3D (SpatialDomains::Geometry3DSharedPtr pGeom)
 
virtual ~Expansion3D ()
 
void SetFaceExp (const int face, Expansion2DSharedPtr &f)
 
Expansion2DSharedPtr GetFaceExp (const int face)
 
void SetTraceToGeomOrientation (Array< OneD, NekDouble > &inout)
 Align trace orientation with the geometry orientation. More...
 
void SetFaceToGeomOrientation (const int face, Array< OneD, NekDouble > &inout)
 Align face orientation with the geometry orientation. More...
 
void AddHDGHelmholtzFaceTerms (const NekDouble tau, const int edge, Array< OneD, NekDouble > &facePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
 
void AddNormTraceInt (const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray)
 
void AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs)
 
void AddFaceBoundaryInt (const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
 
SpatialDomains::Geometry3DSharedPtr GetGeom3D () const
 
void ReOrientFacePhysMap (const int nvert, const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
 
void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
- Public Member Functions inherited from Nektar::LocalRegions::Expansion
 Expansion (SpatialDomains::GeometrySharedPtr pGeom)
 
 Expansion (const Expansion &pSrc)
 
virtual ~Expansion ()
 
DNekScalMatSharedPtr GetLocMatrix (const LocalRegions::MatrixKey &mkey)
 
DNekScalMatSharedPtr GetLocMatrix (const StdRegions::MatrixType mtype, const StdRegions::ConstFactorMap &factors=StdRegions::NullConstFactorMap, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
 
SpatialDomains::GeometrySharedPtr GetGeom () const
 
void Reset ()
 
virtual const
SpatialDomains::GeomFactorsSharedPtr & 		v_GetMetricInfo () const
 
DNekMatSharedPtr BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
 
DNekMatSharedPtr BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
 
void ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
 
void AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
void AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
void DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
 

Protected Member Functions

virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrate the physical point list inarray over prismatic region and return the value. More...
 
virtual void v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
 Calculate the derivative of the physical points. More...
 
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs. 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*base2 and put into outarray: More...
 
virtual void v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
void v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Calculates the inner product $ I_{pqr} = (u, \partial_{x_i} \phi_{pqr}) $. More...
 
void v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_GetCoord (const Array< OneD, const NekDouble > &Lcoords, Array< OneD, NekDouble > &coords)
 Get the coordinates #coords at the local coordinates #Lcoords. More...
 
virtual void v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coord, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
virtual
StdRegions::StdExpansionSharedPtr 		v_GetStdExp (void) const
 
virtual
StdRegions::StdExpansionSharedPtr 		v_GetLinStdExp (void) const
 
virtual int v_GetCoordim ()
 
virtual void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int mode_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
 
virtual void v_GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void v_ComputeFaceNormal (const int face)
 Get the normals along specficied face Get the face normals interplated to a points0 x points 0 type distribution. More...
 
virtual void v_MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_GeneralMatrixOp_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdRegions::StdMatrixKey &mkey)
 
virtual DNekMatSharedPtr v_GenMatrix (const StdRegions::StdMatrixKey &mkey)
 
virtual DNekMatSharedPtr v_CreateStdMatrix (const StdRegions::StdMatrixKey &mkey)
 
virtual DNekScalMatSharedPtr v_GetLocMatrix (const MatrixKey &mkey)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const MatrixKey &mkey)
 
void v_DropLocStaticCondMatrix (const MatrixKey &mkey)
 
DNekScalMatSharedPtr CreateMatrix (const MatrixKey &mkey)
 
DNekScalBlkMatSharedPtr CreateStaticCondMatrix (const MatrixKey &mkey)
 
virtual void v_GetSimplexEquiSpacedConnectivity (Array< OneD, int > &conn, bool standard=true)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdPrismExp
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)
 
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_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 > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_IProductWRTBase_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
 
virtual void v_IProductWRTDerivBase_MatOp (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 
virtual void v_FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 
virtual void v_GetFaceNumModes (const int fid, const Orientation faceOrient, int &numModes0, int &numModes1)
 
virtual int v_GetNverts () const
 
virtual int v_GetNedges () const
 
virtual int v_GetNfaces () const
 
virtual LibUtilities::ShapeType v_DetShapeType () const
 Return Shape of region, using ShapeType enum list; i.e. prism. More...
 
virtual int v_NumBndryCoeffs () const
 
virtual int v_NumDGBndryCoeffs () const
 
virtual int v_GetEdgeNcoeffs (const int i) const
 
virtual int v_GetTotalEdgeIntNcoeffs () const
 
virtual int v_GetFaceNcoeffs (const int i) const
 
virtual int v_GetFaceNumPoints (const int i) const
 
virtual LibUtilities::PointsKey v_GetFacePointsKey (const int i, const int j) const
 
virtual const
LibUtilities::BasisKey 		v_DetFaceBasisKey (const int i, const int k) const
 
virtual int v_GetFaceIntNcoeffs (const int i) const
 
virtual int v_GetTotalFaceIntNcoeffs () const
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual LibUtilities::BasisType v_GetEdgeBasisType (const int i) const
 
virtual bool v_IsBoundaryInteriorExpansion ()
 
virtual void v_GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1, int Q=-1)
 
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)
 
virtual void v_GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
virtual void v_GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
virtual void v_GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
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 void v_NegateFaceNormal (const int face)
 
virtual bool v_FaceNormalNegated (const int face)
 
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)
 
- Protected Member Functions inherited from Nektar::LocalRegions::Expansion3D
virtual void v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &incoeffs, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &out_d)
 Evaluate coefficients of weak deriviative in the direction dir given the input coefficicents incoeffs and the imposed boundary values in EdgeExp (which will have its phys space updated). More...
 
virtual void v_AddFaceNormBoundaryInt (const int face, const ExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual void v_GetTracePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
 Returns the physical values at the quadrature points of a face Wrapper function to v_GetFacePhysVals. More...
 
virtual void v_GetFacePhysVals (const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
 
virtual Array< OneD, unsigned int > v_GetEdgeInverseBoundaryMap (int eid)
 
virtual Array< OneD, unsigned int > v_GetFaceInverseBoundaryMap (int fid, StdRegions::Orientation faceOrient=StdRegions::eNoOrientation)
 
virtual DNekMatSharedPtr v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
 
virtual DNekMatSharedPtr v_BuildInverseTransformationMatrix (const DNekScalMatSharedPtr &m_transformationmatrix)
 Build inverse and inverse transposed transformation matrix: $\mathbf{R^{-1}}$ and $\mathbf{R^{-T}}$. More...
 
virtual DNekMatSharedPtr v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
 
void ReOrientTriFacePhysMap (const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
 
void ReOrientQuadFacePhysMap (const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
 
- Protected Member Functions inherited from Nektar::LocalRegions::Expansion
void ComputeLaplacianMetric ()
 
void ComputeQuadratureMetric ()
 
virtual void v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_ComputeLaplacianMetric ()
 
virtual void v_AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddEdgeNormBoundaryInt (const int edge, const boost::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddFaceNormBoundaryInt (const int face, const boost::shared_ptr< Expansion > &FaceExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 

Private Member Functions

virtual void v_LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 Calculate the Laplacian multiplication in a matrix-free manner. More...
 

Private Attributes

LibUtilities::NekManager
< MatrixKey, DNekScalMat,
MatrixKey::opLess > 		m_matrixManager
 
LibUtilities::NekManager
< MatrixKey, DNekScalBlkMat,
MatrixKey::opLess > 		m_staticCondMatrixManager
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::StdRegions::StdExpansion3D
std::map< int, NormalVector > m_faceNormals
 
std::map< int, bool > m_negatedNormals
 
- Protected Attributes inherited from Nektar::StdRegions::StdExpansion
Array< OneD,
LibUtilities::BasisSharedPtr > 		m_base
 
int m_elmt_id
 
int m_ncoeffs
 
LibUtilities::NekManager
< StdMatrixKey, DNekMat,
StdMatrixKey::opLess > 		m_stdMatrixManager
 
LibUtilities::NekManager
< StdMatrixKey, DNekBlkMat,
StdMatrixKey::opLess > 		m_stdStaticCondMatrixManager
 
LibUtilities::NekManager
< IndexMapKey, IndexMapValues,
IndexMapKey::opLess > 		m_IndexMapManager
 
- Protected Attributes inherited from Nektar::LocalRegions::Expansion
SpatialDomains::GeometrySharedPtr m_geom
 
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
 
MetricMap m_metrics
 

Detailed Description

Definition at line 50 of file PrismExp.h.

Constructor & Destructor Documentation

Nektar::LocalRegions::PrismExp::PrismExp ( const LibUtilities::BasisKey &  Ba,
const LibUtilities::BasisKey &  Bb,
const LibUtilities::BasisKey &  Bc,
const SpatialDomains::PrismGeomSharedPtr &  geom 
)

Constructor using BasisKey class for quadrature points and order definition.

Definition at line 49 of file PrismExp.cpp.

52  :
53  StdExpansion (LibUtilities::StdPrismData::getNumberOfCoefficients(
54  Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
55  3, Ba, Bb, Bc),
56  StdExpansion3D(LibUtilities::StdPrismData::getNumberOfCoefficients(
57  Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes()),
58  Ba, Bb, Bc),
59  StdPrismExp (Ba, Bb, Bc),
60  Expansion (geom),
61  Expansion3D (geom),
62  m_matrixManager(
63  boost::bind(&PrismExp::CreateMatrix, this, _1),
64  std::string("PrismExpMatrix")),
65  m_staticCondMatrixManager(
66  boost::bind(&PrismExp::CreateStaticCondMatrix, this, _1),
67  std::string("PrismExpStaticCondMatrix"))
68  {
69  }
Nektar::LocalRegions::PrismExp::m_matrixManager
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:211
Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:286
Nektar::LocalRegions::PrismExp::CreateMatrix
DNekScalMatSharedPtr CreateMatrix(const MatrixKey &mkey)
Definition: PrismExp.cpp:1111
Nektar::LocalRegions::PrismExp::m_staticCondMatrixManager
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PrismExp.h:213
Nektar::LocalRegions::Expansion::Expansion
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:48
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::LocalRegions::Expansion3D::Expansion3D
Expansion3D(SpatialDomains::Geometry3DSharedPtr pGeom)
Definition: Expansion3D.h:63
Nektar::LocalRegions::PrismExp::CreateStaticCondMatrix
DNekScalBlkMatSharedPtr CreateStaticCondMatrix(const MatrixKey &mkey)
Definition: PrismExp.cpp:1428
Nektar::LocalRegions::PrismExp::PrismExp ( const PrismExp &  T)

Definition at line 71 of file PrismExp.cpp.

71  :
72  StdExpansion(T),
73  StdExpansion3D(T),
74  StdRegions::StdPrismExp(T),
75  Expansion(T),
76  Expansion3D(T),
77  m_matrixManager(T.m_matrixManager),
78  m_staticCondMatrixManager(T.m_staticCondMatrixManager)
79  {
80  }
Nektar::LocalRegions::PrismExp::m_matrixManager
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:211
Nektar::LocalRegions::PrismExp::m_staticCondMatrixManager
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PrismExp.h:213
Nektar::LocalRegions::Expansion::Expansion
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:48
Nektar::StdRegions::StdExpansion::StdExpansion
StdExpansion()
Default Constructor.
Definition: StdExpansion.cpp:44
Nektar::LocalRegions::Expansion3D::Expansion3D
Expansion3D(SpatialDomains::Geometry3DSharedPtr pGeom)
Definition: Expansion3D.h:63
Nektar::LocalRegions::PrismExp::~PrismExp ( )

Definition at line 82 of file PrismExp.cpp.

83  {
84  }

Member Function Documentation

DNekScalMatSharedPtr Nektar::LocalRegions::PrismExp::CreateMatrix ( const MatrixKey &  mkey)
protected

Definition at line 1111 of file PrismExp.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL2, Nektar::LocalRegions::Expansion::BuildTransformationMatrix(), Nektar::LocalRegions::Expansion::BuildVertexMatrix(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eHelmholtz, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvHybridDGHelmholtz, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eIProductWRTBase, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eLaplacian00, Nektar::StdRegions::eLaplacian01, Nektar::StdRegions::eLaplacian02, Nektar::StdRegions::eLaplacian11, Nektar::StdRegions::eLaplacian12, Nektar::StdRegions::eLaplacian22, Nektar::StdRegions::eMass, Nektar::SpatialDomains::eNoGeomType, Nektar::StdRegions::ePreconLinearSpace, Nektar::StdRegions::ePreconLinearSpaceMass, Nektar::StdRegions::ePreconR, Nektar::StdRegions::ePreconRMass, Nektar::StdRegions::ePreconRT, Nektar::StdRegions::ePreconRTMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::StdRegions::StdExpansion::GenMatrix(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdExpansion::GetLocStaticCondMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetNVarCoeff(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdMatrixKey::GetShapeType(), Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdMatrixKey::GetVarCoeffs(), m_matrixManager, Nektar::LocalRegions::Expansion::m_metricinfo, and Nektar::Transpose().

1112  {
1113  DNekScalMatSharedPtr returnval;
1114  LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
1115 
1116  ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,
1117  "Geometric information is not set up");
1118 
1119  switch(mkey.GetMatrixType())
1120  {
1121  case StdRegions::eMass:
1122  {
1123  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1124  {
1125  NekDouble one = 1.0;
1126  DNekMatSharedPtr mat = GenMatrix(mkey);
1127  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1128  }
1129  else
1130  {
1131  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
1132  DNekMatSharedPtr mat = GetStdMatrix(mkey);
1133  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,mat);
1134  }
1135  break;
1136  }
1137 
1138  case StdRegions::eInvMass:
1139  {
1140  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1141  {
1142  NekDouble one = 1.0;
1143  StdRegions::StdMatrixKey masskey(StdRegions::eMass,DetShapeType(),*this);
1144  DNekMatSharedPtr mat = GenMatrix(masskey);
1145  mat->Invert();
1146 
1147  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1148  }
1149  else
1150  {
1151  NekDouble fac = 1.0/(m_metricinfo->GetJac(ptsKeys))[0];
1152  DNekMatSharedPtr mat = GetStdMatrix(mkey);
1153  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(fac,mat);
1154  }
1155  break;
1156  }
1157 
1158  case StdRegions::eWeakDeriv0:
1159  case StdRegions::eWeakDeriv1:
1160  case StdRegions::eWeakDeriv2:
1161  {
1162  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1163  {
1164  NekDouble one = 1.0;
1165  DNekMatSharedPtr mat = GenMatrix(mkey);
1166 
1167  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1168  }
1169  else
1170  {
1171  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
1172  Array<TwoD, const NekDouble> df =
1173  m_metricinfo->GetDerivFactors(ptsKeys);
1174  int dir = 0;
1175 
1176  switch(mkey.GetMatrixType())
1177  {
1178  case StdRegions::eWeakDeriv0:
1179  dir = 0;
1180  break;
1181  case StdRegions::eWeakDeriv1:
1182  dir = 1;
1183  break;
1184  case StdRegions::eWeakDeriv2:
1185  dir = 2;
1186  break;
1187  default:
1188  break;
1189  }
1190 
1191  MatrixKey deriv0key(StdRegions::eWeakDeriv0,
1192  mkey.GetShapeType(), *this);
1193  MatrixKey deriv1key(StdRegions::eWeakDeriv1,
1194  mkey.GetShapeType(), *this);
1195  MatrixKey deriv2key(StdRegions::eWeakDeriv2,
1196  mkey.GetShapeType(), *this);
1197 
1198  DNekMat &deriv0 = *GetStdMatrix(deriv0key);
1199  DNekMat &deriv1 = *GetStdMatrix(deriv1key);
1200  DNekMat &deriv2 = *GetStdMatrix(deriv2key);
1201 
1202  int rows = deriv0.GetRows();
1203  int cols = deriv1.GetColumns();
1204 
1205  DNekMatSharedPtr WeakDeriv = MemoryManager<DNekMat>
1206  ::AllocateSharedPtr(rows,cols);
1207 
1208  (*WeakDeriv) = df[3*dir ][0]*deriv0
1209  + df[3*dir+1][0]*deriv1
1210  + df[3*dir+2][0]*deriv2;
1211 
1212  returnval = MemoryManager<DNekScalMat>
1213  ::AllocateSharedPtr(jac,WeakDeriv);
1214  }
1215  break;
1216  }
1217 
1218  case StdRegions::eLaplacian:
1219  {
1220  if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed ||
1221  mkey.GetNVarCoeff() > 0 ||
1222  mkey.ConstFactorExists(
1223  StdRegions::eFactorSVVCutoffRatio))
1224  {
1225  NekDouble one = 1.0;
1226  DNekMatSharedPtr mat = GenMatrix(mkey);
1227  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1228  }
1229  else
1230  {
1231  MatrixKey lap00key(StdRegions::eLaplacian00,
1232  mkey.GetShapeType(), *this);
1233  MatrixKey lap01key(StdRegions::eLaplacian01,
1234  mkey.GetShapeType(), *this);
1235  MatrixKey lap02key(StdRegions::eLaplacian02,
1236  mkey.GetShapeType(), *this);
1237  MatrixKey lap11key(StdRegions::eLaplacian11,
1238  mkey.GetShapeType(), *this);
1239  MatrixKey lap12key(StdRegions::eLaplacian12,
1240  mkey.GetShapeType(), *this);
1241  MatrixKey lap22key(StdRegions::eLaplacian22,
1242  mkey.GetShapeType(), *this);
1243 
1244  DNekMat &lap00 = *GetStdMatrix(lap00key);
1245  DNekMat &lap01 = *GetStdMatrix(lap01key);
1246  DNekMat &lap02 = *GetStdMatrix(lap02key);
1247  DNekMat &lap11 = *GetStdMatrix(lap11key);
1248  DNekMat &lap12 = *GetStdMatrix(lap12key);
1249  DNekMat &lap22 = *GetStdMatrix(lap22key);
1250 
1251  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
1252  Array<TwoD, const NekDouble> gmat
1253  = m_metricinfo->GetGmat(ptsKeys);
1254 
1255  int rows = lap00.GetRows();
1256  int cols = lap00.GetColumns();
1257 
1258  DNekMatSharedPtr lap = MemoryManager<DNekMat>
1259  ::AllocateSharedPtr(rows,cols);
1260 
1261  (*lap) = gmat[0][0]*lap00
1262  + gmat[4][0]*lap11
1263  + gmat[8][0]*lap22
1264  + gmat[3][0]*(lap01 + Transpose(lap01))
1265  + gmat[6][0]*(lap02 + Transpose(lap02))
1266  + gmat[7][0]*(lap12 + Transpose(lap12));
1267 
1268  returnval = MemoryManager<DNekScalMat>
1269  ::AllocateSharedPtr(jac,lap);
1270  }
1271  break;
1272  }
1273 
1274  case StdRegions::eHelmholtz:
1275  {
1276  NekDouble factor = mkey.GetConstFactor(StdRegions::eFactorLambda);
1277  MatrixKey masskey(StdRegions::eMass,
1278  mkey.GetShapeType(), *this);
1279  DNekScalMat &MassMat = *(this->m_matrixManager[masskey]);
1280  MatrixKey lapkey(StdRegions::eLaplacian,
1281  mkey.GetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
1282  DNekScalMat &LapMat = *(this->m_matrixManager[lapkey]);
1283 
1284  int rows = LapMat.GetRows();
1285  int cols = LapMat.GetColumns();
1286 
1287  DNekMatSharedPtr helm = MemoryManager<DNekMat>::AllocateSharedPtr(rows,cols);
1288 
1289  NekDouble one = 1.0;
1290  (*helm) = LapMat + factor*MassMat;
1291 
1292  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,helm);
1293  break;
1294  }
1295  case StdRegions::eHybridDGHelmholtz:
1296  case StdRegions::eHybridDGLamToU:
1297  case StdRegions::eHybridDGLamToQ0:
1298  case StdRegions::eHybridDGLamToQ1:
1299  case StdRegions::eHybridDGHelmBndLam:
1300  case StdRegions::eInvLaplacianWithUnityMean:
1301  {
1302  NekDouble one = 1.0;
1303 
1304  DNekMatSharedPtr mat = GenMatrix(mkey);
1305  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1306 
1307  break;
1308  }
1309 
1310  case StdRegions::eInvHybridDGHelmholtz:
1311  {
1312  NekDouble one = 1.0;
1313 
1314  MatrixKey hkey(StdRegions::eHybridDGHelmholtz, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
1315 // StdRegions::StdMatrixKey hkey(StdRegions::eHybridDGHelmholtz,
1316 // DetExpansionType(),*this,
1317 // mkey.GetConstant(0),
1318 // mkey.GetConstant(1));
1319  DNekMatSharedPtr mat = GenMatrix(hkey);
1320 
1321  mat->Invert();
1322  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1323  break;
1324  }
1325 
1326  case StdRegions::eIProductWRTBase:
1327  {
1328  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1329  {
1330  NekDouble one = 1.0;
1331  DNekMatSharedPtr mat = GenMatrix(mkey);
1332  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1333  }
1334  else
1335  {
1336  NekDouble jac = (m_metricinfo->GetJac(ptsKeys))[0];
1337  DNekMatSharedPtr mat = GetStdMatrix(mkey);
1338  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(jac,mat);
1339  }
1340  break;
1341  }
1342  case StdRegions::ePreconLinearSpace:
1343  {
1344  NekDouble one = 1.0;
1345  MatrixKey helmkey(StdRegions::eHelmholtz, mkey.GetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
1346  DNekScalBlkMatSharedPtr helmStatCond = GetLocStaticCondMatrix(helmkey);
1347  DNekScalMatSharedPtr A =helmStatCond->GetBlock(0,0);
1348  DNekMatSharedPtr R=BuildVertexMatrix(A);
1349 
1350  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1351  }
1352  break;
1353  case StdRegions::ePreconLinearSpaceMass:
1354  {
1355  NekDouble one = 1.0;
1356  MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
1357  DNekScalBlkMatSharedPtr massStatCond = GetLocStaticCondMatrix(masskey);
1358  DNekScalMatSharedPtr A =massStatCond->GetBlock(0,0);
1359  DNekMatSharedPtr R=BuildVertexMatrix(A);
1360 
1361  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1362  }
1363  break;
1364  case StdRegions::ePreconR:
1365  {
1366  NekDouble one = 1.0;
1367  MatrixKey helmkey(StdRegions::eHelmholtz, mkey.GetShapeType(), *this,mkey.GetConstFactors(), mkey.GetVarCoeffs());
1368  DNekScalBlkMatSharedPtr helmStatCond = GetLocStaticCondMatrix(helmkey);
1369  DNekScalMatSharedPtr A =helmStatCond->GetBlock(0,0);
1370 
1371  DNekScalMatSharedPtr Atmp;
1372  DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
1373 
1374  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1375  }
1376  break;
1377  case StdRegions::ePreconRT:
1378  {
1379  NekDouble one = 1.0;
1380  MatrixKey helmkey(StdRegions::eHelmholtz, mkey.GetShapeType(), *this,mkey.GetConstFactors(), mkey.GetVarCoeffs());
1381  DNekScalBlkMatSharedPtr helmStatCond = GetLocStaticCondMatrix(helmkey);
1382  DNekScalMatSharedPtr A =helmStatCond->GetBlock(0,0);
1383 
1384  DNekScalMatSharedPtr Atmp;
1385  DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
1386 
1387  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1388  }
1389  break;
1390  case StdRegions::ePreconRMass:
1391  {
1392  NekDouble one = 1.0;
1393  MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
1394  DNekScalBlkMatSharedPtr massStatCond = GetLocStaticCondMatrix(masskey);
1395  DNekScalMatSharedPtr A =massStatCond->GetBlock(0,0);
1396 
1397  DNekScalMatSharedPtr Atmp;
1398  DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
1399 
1400  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1401  }
1402  break;
1403  case StdRegions::ePreconRTMass:
1404  {
1405  NekDouble one = 1.0;
1406  MatrixKey masskey(StdRegions::eMass, mkey.GetShapeType(), *this);
1407  DNekScalBlkMatSharedPtr massStatCond = GetLocStaticCondMatrix(masskey);
1408  DNekScalMatSharedPtr A =massStatCond->GetBlock(0,0);
1409 
1410  DNekScalMatSharedPtr Atmp;
1411  DNekMatSharedPtr R=BuildTransformationMatrix(A,mkey.GetMatrixType());
1412 
1413  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,R);
1414  }
1415  break;
1416  default:
1417  {
1418  NekDouble one = 1.0;
1419  DNekMatSharedPtr mat = GenMatrix(mkey);
1420 
1421  returnval = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,mat);
1422  }
1423  }
1424 
1425  return returnval;
1426  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::StdExpansion::GenMatrix
DNekMatSharedPtr GenMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:1054
Nektar::LocalRegions::PrismExp::m_matrixManager
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:211
Nektar::LibUtilities::PointsKeyVector
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:242
Nektar::LocalRegions::Expansion::BuildTransformationMatrix
DNekMatSharedPtr BuildTransformationMatrix(const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
Definition: Expansion.cpp:90
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Nektar::LocalRegions::Expansion::BuildVertexMatrix
DNekMatSharedPtr BuildVertexMatrix(const DNekScalMatSharedPtr &r_bnd)
Definition: Expansion.cpp:98
Nektar::StdRegions::StdExpansion::GetLocStaticCondMatrix
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix(const LocalRegions::MatrixKey &mkey)
Definition: StdExpansion.h:753
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetStdMatrix
DNekMatSharedPtr GetStdMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:706
Nektar::DNekScalMatSharedPtr
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:73
Nektar::DNekScalBlkMatSharedPtr
boost::shared_ptr< DNekScalBlkMat > DNekScalBlkMatSharedPtr
Definition: NekTypeDefs.hpp:74
Nektar::Transpose
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Definition: BlockMatrix.hpp:219
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
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:250
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
DNekScalBlkMatSharedPtr Nektar::LocalRegions::PrismExp::CreateStaticCondMatrix ( const MatrixKey &  mkey)
protected

Definition at line 1428 of file PrismExp.cpp.

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

1429  {
1430  DNekScalBlkMatSharedPtr returnval;
1431 
1432  ASSERTL2(m_metricinfo->GetGtype() != SpatialDomains::eNoGeomType,"Geometric information is not set up");
1433 
1434  // set up block matrix system
1435  unsigned int nbdry = NumBndryCoeffs();
1436  unsigned int nint = (unsigned int)(m_ncoeffs - nbdry);
1437  unsigned int exp_size[] = {nbdry, nint};
1438  unsigned int nblks=2;
1439  returnval = MemoryManager<DNekScalBlkMat>::AllocateSharedPtr(nblks, nblks, exp_size, exp_size);
1440  NekDouble factor = 1.0;
1441 
1442  switch(mkey.GetMatrixType())
1443  {
1444  case StdRegions::eLaplacian:
1445  case StdRegions::eHelmholtz: // special case since Helmholtz not defined in StdRegions
1446  // use Deformed case for both regular and deformed geometries
1447  factor = 1.0;
1448  goto UseLocRegionsMatrix;
1449  break;
1450  default:
1451  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1452  {
1453  factor = 1.0;
1454  goto UseLocRegionsMatrix;
1455  }
1456  else
1457  {
1458  DNekScalMatSharedPtr mat = GetLocMatrix(mkey);
1459  factor = mat->Scale();
1460  goto UseStdRegionsMatrix;
1461  }
1462  break;
1463  UseStdRegionsMatrix:
1464  {
1465  NekDouble invfactor = 1.0/factor;
1466  NekDouble one = 1.0;
1467  DNekBlkMatSharedPtr mat = GetStdStaticCondMatrix(mkey);
1468  DNekScalMatSharedPtr Atmp;
1469  DNekMatSharedPtr Asubmat;
1470 
1471  //TODO: check below
1472  returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(0,0)));
1473  returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,Asubmat = mat->GetBlock(0,1)));
1474  returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,Asubmat = mat->GetBlock(1,0)));
1475  returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,Asubmat = mat->GetBlock(1,1)));
1476  }
1477  break;
1478  UseLocRegionsMatrix:
1479  {
1480  int i,j;
1481  NekDouble invfactor = 1.0/factor;
1482  NekDouble one = 1.0;
1483  DNekScalMat &mat = *GetLocMatrix(mkey);
1484  DNekMatSharedPtr A = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nbdry);
1485  DNekMatSharedPtr B = MemoryManager<DNekMat>::AllocateSharedPtr(nbdry,nint);
1486  DNekMatSharedPtr C = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nbdry);
1487  DNekMatSharedPtr D = MemoryManager<DNekMat>::AllocateSharedPtr(nint,nint);
1488 
1489  Array<OneD,unsigned int> bmap(nbdry);
1490  Array<OneD,unsigned int> imap(nint);
1491  GetBoundaryMap(bmap);
1492  GetInteriorMap(imap);
1493 
1494  for(i = 0; i < nbdry; ++i)
1495  {
1496  for(j = 0; j < nbdry; ++j)
1497  {
1498  (*A)(i,j) = mat(bmap[i],bmap[j]);
1499  }
1500 
1501  for(j = 0; j < nint; ++j)
1502  {
1503  (*B)(i,j) = mat(bmap[i],imap[j]);
1504  }
1505  }
1506 
1507  for(i = 0; i < nint; ++i)
1508  {
1509  for(j = 0; j < nbdry; ++j)
1510  {
1511  (*C)(i,j) = mat(imap[i],bmap[j]);
1512  }
1513 
1514  for(j = 0; j < nint; ++j)
1515  {
1516  (*D)(i,j) = mat(imap[i],imap[j]);
1517  }
1518  }
1519 
1520  // Calculate static condensed system
1521  if(nint)
1522  {
1523  D->Invert();
1524  (*B) = (*B)*(*D);
1525  (*A) = (*A) - (*B)*(*C);
1526  }
1527 
1528  DNekScalMatSharedPtr Atmp;
1529 
1530  returnval->SetBlock(0,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,A));
1531  returnval->SetBlock(0,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(one,B));
1532  returnval->SetBlock(1,0,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(factor,C));
1533  returnval->SetBlock(1,1,Atmp = MemoryManager<DNekScalMat>::AllocateSharedPtr(invfactor,D));
1534 
1535  }
1536  break;
1537  }
1538  return returnval;
1539  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::DNekScalMatSharedPtr
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:73
Nektar::StdRegions::StdExpansion::GetStdStaticCondMatrix
DNekBlkMatSharedPtr GetStdStaticCondMatrix(const StdMatrixKey &mkey)
Definition: StdExpansion.h:711
Nektar::DNekScalBlkMatSharedPtr
boost::shared_ptr< DNekScalBlkMat > DNekScalBlkMatSharedPtr
Definition: NekTypeDefs.hpp:74
Nektar::StdRegions::StdExpansion::GetInteriorMap
void GetInteriorMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:819
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::DNekBlkMatSharedPtr
boost::shared_ptr< DNekBlkMat > DNekBlkMatSharedPtr
Definition: NekTypeDefs.hpp:72
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
ASSERTL2
#define ASSERTL2(condition, msg)
Assert Level 2 – Debugging which is used FULLDEBUG compilation mode. This level assert is designed t...
Definition: ErrorUtil.hpp:250
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
Nektar::StdRegions::StdExpansion::GetBoundaryMap
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:814
void Nektar::LocalRegions::PrismExp::v_ComputeFaceNormal ( const int  face)
protectedvirtual

Get the normals along specficied face Get the face normals interplated to a points0 x points 0 type distribution.

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 702 of file PrismExp.cpp.

References ASSERTL0, Nektar::StdRegions::StdExpansion::DetFaceBasisKey(), Nektar::SpatialDomains::eMovingRegular, Nektar::SpatialDomains::eRegular, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetGeom(), Nektar::LibUtilities::BasisKey::GetNumPoints(), Nektar::LibUtilities::BasisKey::GetPointsKey(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LibUtilities::Interp2D(), Nektar::StdRegions::StdExpansion3D::m_faceNormals, Vmath::Sdiv(), Vmath::Vmul(), Vmath::Vsqrt(), Vmath::Vvtvp(), and Vmath::Zero().

703  {
704  const SpatialDomains::GeomFactorsSharedPtr &geomFactors =
705  GetGeom()->GetMetricInfo();
706  LibUtilities::PointsKeyVector ptsKeys = GetPointsKeys();
707  SpatialDomains::GeomType type = geomFactors->GetGtype();
708  const Array<TwoD, const NekDouble> &df = geomFactors->GetDerivFactors(ptsKeys);
709  const Array<OneD, const NekDouble> &jac = geomFactors->GetJac(ptsKeys);
710 
711  int nq0 = ptsKeys[0].GetNumPoints();
712  int nq1 = ptsKeys[1].GetNumPoints();
713  int nq2 = ptsKeys[2].GetNumPoints();
714  int nq01 = nq0*nq1;
715  int nqtot;
716 
717 
718  LibUtilities::BasisKey tobasis0 = DetFaceBasisKey(face,0);
719  LibUtilities::BasisKey tobasis1 = DetFaceBasisKey(face,1);
720 
721  // Number of quadrature points in face expansion.
722  int nq_face = tobasis0.GetNumPoints()*tobasis1.GetNumPoints();
723 
724  int vCoordDim = GetCoordim();
725  int i;
726 
727  m_faceNormals[face] = Array<OneD, Array<OneD, NekDouble> >(vCoordDim);
728  Array<OneD, Array<OneD, NekDouble> > &normal = m_faceNormals[face];
729  for (i = 0; i < vCoordDim; ++i)
730  {
731  normal[i] = Array<OneD, NekDouble>(nq_face);
732  }
733 
734  // Regular geometry case
735  if (type == SpatialDomains::eRegular ||
736  type == SpatialDomains::eMovingRegular)
737  {
738  NekDouble fac;
739  // Set up normals
740  switch(face)
741  {
742  case 0:
743  {
744  for(i = 0; i < vCoordDim; ++i)
745  {
746  normal[i][0] = -df[3*i+2][0];;
747  }
748  break;
749  }
750  case 1:
751  {
752  for(i = 0; i < vCoordDim; ++i)
753  {
754  normal[i][0] = -df[3*i+1][0];
755  }
756  break;
757  }
758  case 2:
759  {
760  for(i = 0; i < vCoordDim; ++i)
761  {
762  normal[i][0] = df[3*i][0]+df[3*i+2][0];
763  }
764  break;
765  }
766  case 3:
767  {
768  for(i = 0; i < vCoordDim; ++i)
769  {
770  normal[i][0] = df[3*i+1][0];
771  }
772  break;
773  }
774  case 4:
775  {
776  for(i = 0; i < vCoordDim; ++i)
777  {
778  normal[i][0] = -df[3*i][0];
779  }
780  break;
781  }
782  default:
783  ASSERTL0(false,"face is out of range (face < 4)");
784  }
785 
786  // Normalise resulting vector.
787  fac = 0.0;
788  for(i = 0; i < vCoordDim; ++i)
789  {
790  fac += normal[i][0]*normal[i][0];
791  }
792  fac = 1.0/sqrt(fac);
793  for (i = 0; i < vCoordDim; ++i)
794  {
795  Vmath::Fill(nq_face,fac*normal[i][0],normal[i],1);
796  }
797  }
798  else
799  {
800  // Set up deformed normals.
801  int j, k;
802 
803  // Determine number of quadrature points on the face of 3D elmt
804  if (face == 0)
805  {
806  nqtot = nq0*nq1;
807  }
808  else if (face == 1 || face == 3)
809  {
810  nqtot = nq0*nq2;
811  }
812  else
813  {
814  nqtot = nq1*nq2;
815  }
816 
817  LibUtilities::PointsKey points0;
818  LibUtilities::PointsKey points1;
819 
820  Array<OneD, NekDouble> faceJac(nqtot);
821  Array<OneD, NekDouble> normals(vCoordDim*nqtot,0.0);
822 
823  // Extract Jacobian along face and recover local derivatives
824  // (dx/dr) for polynomial interpolation by multiplying m_gmat by
825  // jacobian
826  switch(face)
827  {
828  case 0:
829  {
830  for(j = 0; j < nq01; ++j)
831  {
832  normals[j] = -df[2][j]*jac[j];
833  normals[nqtot+j] = -df[5][j]*jac[j];
834  normals[2*nqtot+j] = -df[8][j]*jac[j];
835  faceJac[j] = jac[j];
836  }
837 
838  points0 = ptsKeys[0];
839  points1 = ptsKeys[1];
840  break;
841  }
842 
843  case 1:
844  {
845  for (j = 0; j < nq0; ++j)
846  {
847  for(k = 0; k < nq2; ++k)
848  {
849  int tmp = j+nq01*k;
850  normals[j+k*nq0] =
851  -df[1][tmp]*jac[tmp];
852  normals[nqtot+j+k*nq0] =
853  -df[4][tmp]*jac[tmp];
854  normals[2*nqtot+j+k*nq0] =
855  -df[7][tmp]*jac[tmp];
856  faceJac[j+k*nq0] = jac[tmp];
857  }
858  }
859 
860  points0 = ptsKeys[0];
861  points1 = ptsKeys[2];
862  break;
863  }
864 
865  case 2:
866  {
867  for (j = 0; j < nq1; ++j)
868  {
869  for(k = 0; k < nq2; ++k)
870  {
871  int tmp = nq0-1+nq0*j+nq01*k;
872  normals[j+k*nq1] =
873  (df[0][tmp]+df[2][tmp])*jac[tmp];
874  normals[nqtot+j+k*nq1] =
875  (df[3][tmp]+df[5][tmp])*jac[tmp];
876  normals[2*nqtot+j+k*nq1] =
877  (df[6][tmp]+df[8][tmp])*jac[tmp];
878  faceJac[j+k*nq1] = jac[tmp];
879  }
880  }
881 
882  points0 = ptsKeys[1];
883  points1 = ptsKeys[2];
884  break;
885  }
886 
887  case 3:
888  {
889  for (j = 0; j < nq0; ++j)
890  {
891  for(k = 0; k < nq2; ++k)
892  {
893  int tmp = nq0*(nq1-1) + j + nq01*k;
894  normals[j+k*nq0] =
895  df[1][tmp]*jac[tmp];
896  normals[nqtot+j+k*nq0] =
897  df[4][tmp]*jac[tmp];
898  normals[2*nqtot+j+k*nq0] =
899  df[7][tmp]*jac[tmp];
900  faceJac[j+k*nq0] = jac[tmp];
901  }
902  }
903 
904  points0 = ptsKeys[0];
905  points1 = ptsKeys[2];
906  break;
907  }
908 
909  case 4:
910  {
911  for (j = 0; j < nq1; ++j)
912  {
913  for(k = 0; k < nq2; ++k)
914  {
915  int tmp = j*nq0+nq01*k;
916  normals[j+k*nq1] =
917  -df[0][tmp]*jac[tmp];
918  normals[nqtot+j+k*nq1] =
919  -df[3][tmp]*jac[tmp];
920  normals[2*nqtot+j+k*nq1] =
921  -df[6][tmp]*jac[tmp];
922  faceJac[j+k*nq1] = jac[tmp];
923  }
924  }
925 
926  points0 = ptsKeys[1];
927  points1 = ptsKeys[2];
928  break;
929  }
930 
931  default:
932  ASSERTL0(false,"face is out of range (face < 4)");
933  }
934 
935 
936  Array<OneD, NekDouble> work (nq_face, 0.0);
937  // Interpolate Jacobian and invert
938  LibUtilities::Interp2D(points0, points1, faceJac,
939  tobasis0.GetPointsKey(),
940  tobasis1.GetPointsKey(),
941  work);
942  Vmath::Sdiv(nq_face, 1.0, &work[0], 1, &work[0], 1);
943 
944  // Interpolate normal and multiply by inverse Jacobian.
945  for(i = 0; i < vCoordDim; ++i)
946  {
947  LibUtilities::Interp2D(points0, points1,
948  &normals[i*nqtot],
949  tobasis0.GetPointsKey(),
950  tobasis1.GetPointsKey(),
951  &normal[i][0]);
952  Vmath::Vmul(nq_face,work,1,normal[i],1,normal[i],1);
953  }
954 
955  // Normalise to obtain unit normals.
956  Vmath::Zero(nq_face,work,1);
957  for(i = 0; i < GetCoordim(); ++i)
958  {
959  Vmath::Vvtvp(nq_face,normal[i],1,normal[i],1,work,1,work,1);
960  }
961 
962  Vmath::Vsqrt(nq_face,work,1,work,1);
963  Vmath::Sdiv (nq_face,1.0,work,1,work,1);
964 
965  for(i = 0; i < GetCoordim(); ++i)
966  {
967  Vmath::Vmul(nq_face,normal[i],1,work,1,normal[i],1);
968  }
969  }
970  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::LibUtilities::PointsKeyVector
std::vector< PointsKey > PointsKeyVector
Definition: Points.h:242
Vmath::Vsqrt
void Vsqrt(int n, const T *x, const int incx, T *y, const int incy)
sqrt y = sqrt(x)
Definition: Vmath.cpp:408
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
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:442
Vmath::Sdiv
void Sdiv(int n, const T alpha, const T *x, const int incx, T *y, const int incy)
Scalar multiply y = alpha/y.
Definition: Vmath.cpp:271
Nektar::LibUtilities::Interp2D
void Interp2D(const BasisKey &fbasis0, const BasisKey &fbasis1, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, Array< OneD, NekDouble > &to)
this function interpolates a 2D function evaluated at the quadrature points of the 2D basis...
Definition: Interp.cpp:116
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion3D::m_faceNormals
std::map< int, NormalVector > m_faceNormals
Definition: StdExpansion3D.h:204
Nektar::LocalRegions::Expansion::GetGeom
SpatialDomains::GeometrySharedPtr GetGeom() const
Definition: Expansion.cpp:161
Nektar::SpatialDomains::GeomFactorsSharedPtr
boost::shared_ptr< GeomFactors > GeomFactorsSharedPtr
Pointer to a GeomFactors object.
Definition: GeomFactors.h:62
Nektar::SpatialDomains::eRegular
Geometry is straight-sided with constant geometric factors.
Definition: SpatialDomains.hpp:55
Nektar::StdRegions::StdExpansion::DetFaceBasisKey
const LibUtilities::BasisKey DetFaceBasisKey(const int i, const int k) const
Definition: StdExpansion.h:324
Nektar::SpatialDomains::GeomType
GeomType
Indicates the type of element geometry.
Definition: SpatialDomains.hpp:52
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:373
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:183
DNekMatSharedPtr Nektar::LocalRegions::PrismExp::v_CreateStdMatrix ( const StdRegions::StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 1085 of file PrismExp.cpp.

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

1086  {
1087  LibUtilities::BasisKey bkey0 = m_base[0]->GetBasisKey();
1088  LibUtilities::BasisKey bkey1 = m_base[1]->GetBasisKey();
1089  LibUtilities::BasisKey bkey2 = m_base[2]->GetBasisKey();
1090  StdRegions::StdPrismExpSharedPtr tmp =
1091  MemoryManager<StdPrismExp>::AllocateSharedPtr(bkey0, bkey1, bkey2);
1092 
1093  return tmp->GetStdMatrix(mkey);
1094  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdPrismExpSharedPtr
boost::shared_ptr< StdPrismExp > StdPrismExpSharedPtr
Definition: StdPrismExp.h:258
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
void Nektar::LocalRegions::PrismExp::v_DropLocStaticCondMatrix ( const MatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1106 of file PrismExp.cpp.

References m_staticCondMatrixManager.

1107  {
1108  m_staticCondMatrixManager.DeleteObject(mkey);
1109  }
Nektar::LocalRegions::PrismExp::m_staticCondMatrixManager
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PrismExp.h:213
void Nektar::LocalRegions::PrismExp::v_ExtractDataToCoeffs ( const NekDouble *  data,
const std::vector< unsigned int > &  nummodes,
const int  mode_offset,
NekDouble *  coeffs,
std::vector< LibUtilities::BasisType > &  fromType 
)
protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 537 of file PrismExp.cpp.

References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Vmath::Vcopy(), and Vmath::Zero().

543  {
544  int data_order0 = nummodes[mode_offset];
545  int fillorder0 = min(m_base[0]->GetNumModes(),data_order0);
546  int data_order1 = nummodes[mode_offset+1];
547  int order1 = m_base[1]->GetNumModes();
548  int fillorder1 = min(order1,data_order1);
549  int data_order2 = nummodes[mode_offset+2];
550  int order2 = m_base[2]->GetNumModes();
551  int fillorder2 = min(order2,data_order2);
552 
553  switch(m_base[0]->GetBasisType())
554  {
555  case LibUtilities::eModified_A:
556  {
557  int i,j;
558  int cnt = 0;
559  int cnt1 = 0;
560 
561  ASSERTL1(m_base[1]->GetBasisType() ==
562  LibUtilities::eModified_A,
563  "Extraction routine not set up for this basis");
564  ASSERTL1(m_base[2]->GetBasisType() ==
565  LibUtilities::eModified_B,
566  "Extraction routine not set up for this basis");
567 
568  Vmath::Zero(m_ncoeffs,coeffs,1);
569  for(j = 0; j < fillorder0; ++j)
570  {
571  for(i = 0; i < fillorder1; ++i)
572  {
573  Vmath::Vcopy(fillorder2-j, &data[cnt], 1,
574  &coeffs[cnt1], 1);
575  cnt += data_order2-j;
576  cnt1 += order2-j;
577  }
578 
579  // count out data for j iteration
580  for(i = fillorder1; i < data_order1; ++i)
581  {
582  cnt += data_order2-j;
583  }
584 
585  for(i = fillorder1; i < order1; ++i)
586  {
587  cnt1 += order2-j;
588  }
589  }
590  }
591  break;
592  default:
593  ASSERTL0(false, "basis is either not set up or not "
594  "hierarchicial");
595  }
596  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::LibUtilities::eModified_A
Principle Modified Functions .
Definition: BasisType.h:49
Nektar::LibUtilities::eModified_B
Principle Modified Functions .
Definition: BasisType.h:50
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:373
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:228
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
void Nektar::LocalRegions::PrismExp::v_FwdTrans ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in (this)->m_coeffs.

Inputs:

  • inarray: array of physical quadrature points to be transformed

Outputs:

  • (this)->_coeffs: updated array of expansion coefficients.

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 217 of file PrismExp.cpp.

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

219  {
220  if(m_base[0]->Collocation() &&
221  m_base[1]->Collocation() &&
222  m_base[2]->Collocation())
223  {
224  Vmath::Vcopy(GetNcoeffs(),&inarray[0],1,&outarray[0],1);
225  }
226  else
227  {
228  v_IProductWRTBase(inarray, outarray);
229 
230  // get Mass matrix inverse
231  MatrixKey masskey(StdRegions::eInvMass,
232  DetShapeType(),*this);
233  DNekScalMatSharedPtr matsys = m_matrixManager[masskey];
234 
235  // copy inarray in case inarray == outarray
236  DNekVec in (m_ncoeffs,outarray);
237  DNekVec out(m_ncoeffs,outarray,eWrapper);
238 
239  out = (*matsys)*in;
240  }
241  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::LocalRegions::PrismExp::m_matrixManager
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:211
Nektar::LocalRegions::PrismExp::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*base2 and put into out...
Definition: PrismExp.cpp:272
Nektar::DNekScalMatSharedPtr
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:73
Nektar::DNekVec
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:49
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::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
void Nektar::LocalRegions::PrismExp::v_GeneralMatrixOp_MatOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Definition at line 1006 of file PrismExp.cpp.

References Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().

1010  {
1011  DNekScalMatSharedPtr mat = GetLocMatrix(mkey);
1012 
1013  if(inarray.get() == outarray.get())
1014  {
1015  Array<OneD,NekDouble> tmp(m_ncoeffs);
1016  Vmath::Vcopy(m_ncoeffs,inarray.get(),1,tmp.get(),1);
1017 
1018  Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
1019  m_ncoeffs, tmp.get(), 1, 0.0, outarray.get(), 1);
1020  }
1021  else
1022  {
1023  Blas::Dgemv('N',m_ncoeffs,m_ncoeffs,mat->Scale(),(mat->GetOwnedMatrix())->GetPtr().get(),
1024  m_ncoeffs, inarray.get(), 1, 0.0, outarray.get(), 1);
1025  }
1026  }
Nektar::DNekScalMatSharedPtr
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:73
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
DNekMatSharedPtr Nektar::LocalRegions::PrismExp::v_GenMatrix ( const StdRegions::StdMatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 1062 of file PrismExp.cpp.

References Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::StdMatrixKey::GetMatrixType(), and Nektar::LocalRegions::Expansion3D::v_GenMatrix().

1063  {
1064  DNekMatSharedPtr returnval;
1065 
1066  switch(mkey.GetMatrixType())
1067  {
1068  case StdRegions::eHybridDGHelmholtz:
1069  case StdRegions::eHybridDGLamToU:
1070  case StdRegions::eHybridDGLamToQ0:
1071  case StdRegions::eHybridDGLamToQ1:
1072  case StdRegions::eHybridDGLamToQ2:
1073  case StdRegions::eHybridDGHelmBndLam:
1074  case StdRegions::eInvLaplacianWithUnityMean:
1075  returnval = Expansion3D::v_GenMatrix(mkey);
1076  break;
1077  default:
1078  returnval = StdPrismExp::v_GenMatrix(mkey);
1079  break;
1080  }
1081 
1082  return returnval;
1083  }
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::LocalRegions::Expansion3D::v_GenMatrix
virtual DNekMatSharedPtr v_GenMatrix(const StdRegions::StdMatrixKey &mkey)
Definition: Expansion3D.cpp:383
void Nektar::LocalRegions::PrismExp::v_GetCoord ( const Array< OneD, const NekDouble > &  Lcoords,
Array< OneD, NekDouble > &  coords 
)
protectedvirtual

Get the coordinates #coords at the local coordinates #Lcoords.

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 476 of file PrismExp.cpp.

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

478  {
479  int i;
480 
481  ASSERTL1(Lcoords[0] <= -1.0 && Lcoords[0] >= 1.0 &&
482  Lcoords[1] <= -1.0 && Lcoords[1] >= 1.0 &&
483  Lcoords[2] <= -1.0 && Lcoords[2] >= 1.0,
484  "Local coordinates are not in region [-1,1]");
485 
486  m_geom->FillGeom();
487 
488  for(i = 0; i < m_geom->GetCoordim(); ++i)
489  {
490  coords[i] = m_geom->GetCoord(i,Lcoords);
491  }
492  }
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:228
int Nektar::LocalRegions::PrismExp::v_GetCoordim ( void  )
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 532 of file PrismExp.cpp.

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

533  {
534  return m_geom->GetCoordim();
535  }
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
void Nektar::LocalRegions::PrismExp::v_GetCoords ( Array< OneD, NekDouble > &  coords_1,
Array< OneD, NekDouble > &  coords_2,
Array< OneD, NekDouble > &  coords_3 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 494 of file PrismExp.cpp.

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

498  {
499  Expansion::v_GetCoords(coords_0, coords_1, coords_2);
500  }
Nektar::LocalRegions::Expansion::v_GetCoords
virtual void v_GetCoords(Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
Definition: Expansion.cpp:224
void Nektar::LocalRegions::PrismExp::v_GetFacePhysMap ( const int  face,
Array< OneD, int > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 598 of file PrismExp.cpp.

References ASSERTL0, and Nektar::StdRegions::StdExpansion::m_base.

600  {
601  int nquad0 = m_base[0]->GetNumPoints();
602  int nquad1 = m_base[1]->GetNumPoints();
603  int nquad2 = m_base[2]->GetNumPoints();
604  int nq0 = 0;
605  int nq1 = 0;
606 
607  switch(face)
608  {
609  case 0:
610  nq0 = nquad0;
611  nq1 = nquad1;
612  if(outarray.num_elements()!=nq0*nq1)
613  {
614  outarray = Array<OneD, int>(nq0*nq1);
615  }
616 
617  //Directions A and B positive
618  for(int i = 0; i < nquad0*nquad1; ++i)
619  {
620  outarray[i] = i;
621  }
622  break;
623  case 1:
624 
625  nq0 = nquad0;
626  nq1 = nquad2;
627  if(outarray.num_elements()!=nq0*nq1)
628  {
629  outarray = Array<OneD, int>(nq0*nq1);
630  }
631 
632  //Direction A and B positive
633  for (int k=0; k<nquad2; k++)
634  {
635  for(int i = 0; i < nquad0; ++i)
636  {
637  outarray[k*nquad0+i] = (nquad0*nquad1*k)+i;
638  }
639  }
640 
641  break;
642  case 2:
643 
644  nq0 = nquad1;
645  nq1 = nquad2;
646  if(outarray.num_elements()!=nq0*nq1)
647  {
648  outarray = Array<OneD, int>(nq0*nq1);
649  }
650 
651  //Directions A and B positive
652  for(int j = 0; j < nquad1*nquad2; ++j)
653  {
654  outarray[j] = nquad0-1 + j*nquad0;
655 
656  }
657  break;
658  case 3:
659  nq0 = nquad0;
660  nq1 = nquad2;
661  if(outarray.num_elements()!=nq0*nq1)
662  {
663  outarray = Array<OneD, int>(nq0*nq1);
664  }
665 
666  //Direction A and B positive
667  for (int k=0; k<nquad2; k++)
668  {
669  for(int i = 0; i < nquad0; ++i)
670  {
671  outarray[k*nquad0+i] = nquad0*(nquad1-1) + (nquad0*nquad1*k)+i;
672  }
673  }
674  break;
675  case 4:
676 
677  nq0 = nquad1;
678  nq1 = nquad2;
679  if(outarray.num_elements()!=nq0*nq1)
680  {
681  outarray = Array<OneD, int>(nq0*nq1);
682  }
683 
684  //Directions A and B positive
685  for(int j = 0; j < nquad1*nquad2; ++j)
686  {
687  outarray[j] = j*nquad0;
688 
689  }
690  break;
691  default:
692  ASSERTL0(false,"face value (> 4) is out of range");
693  break;
694  }
695 
696  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::PrismExp::v_GetLinStdExp ( void  ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 459 of file PrismExp.cpp.

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

460  {
461  LibUtilities::BasisKey bkey0(m_base[0]->GetBasisType(),
462  2, m_base[0]->GetPointsKey());
463  LibUtilities::BasisKey bkey1(m_base[1]->GetBasisType(),
464  2, m_base[1]->GetPointsKey());
465  LibUtilities::BasisKey bkey2(m_base[2]->GetBasisType(),
466  2, m_base[2]->GetPointsKey());
467 
468  return MemoryManager<StdRegions::StdPrismExp>
469  ::AllocateSharedPtr( bkey0, bkey1, bkey2);
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::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::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
DNekScalMatSharedPtr Nektar::LocalRegions::PrismExp::v_GetLocMatrix ( const MatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1096 of file PrismExp.cpp.

References m_matrixManager.

1097  {
1098  return m_matrixManager[mkey];
1099  }
Nektar::LocalRegions::PrismExp::m_matrixManager
LibUtilities::NekManager< MatrixKey, DNekScalMat, MatrixKey::opLess > m_matrixManager
Definition: PrismExp.h:211
DNekScalBlkMatSharedPtr Nektar::LocalRegions::PrismExp::v_GetLocStaticCondMatrix ( const MatrixKey &  mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1101 of file PrismExp.cpp.

References m_staticCondMatrixManager.

1102  {
1103  return m_staticCondMatrixManager[mkey];
1104  }
Nektar::LocalRegions::PrismExp::m_staticCondMatrixManager
LibUtilities::NekManager< MatrixKey, DNekScalBlkMat, MatrixKey::opLess > m_staticCondMatrixManager
Definition: PrismExp.h:213
void Nektar::LocalRegions::PrismExp::v_GetSimplexEquiSpacedConnectivity ( Array< OneD, int > &  conn,
bool  standard = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1716 of file PrismExp.cpp.

References Nektar::StdRegions::StdExpansion::m_base, and Nektar::LocalRegions::Expansion::m_geom.

1719  {
1720  int np0 = m_base[0]->GetNumPoints();
1721  int np1 = m_base[1]->GetNumPoints();
1722  int np2 = m_base[2]->GetNumPoints();
1723  int np = max(np0,max(np1,np2));
1724  Array<OneD, int> prismpt(6);
1725  bool standard = true;
1726 
1727  int vid0 = m_geom->GetVid(0);
1728  int vid1 = m_geom->GetVid(1);
1729  int vid2 = m_geom->GetVid(4);
1730  int rotate = 0;
1731 
1732  // sort out prism rotation according to
1733  if((vid2 < vid1)&&(vid2 < vid0)) // top triangle vertex is lowest id
1734  {
1735  rotate = 0;
1736  if(vid0 > vid1)
1737  {
1738  standard = false;// reverse base direction
1739  }
1740  }
1741  else if((vid1 < vid2)&&(vid1 < vid0))
1742  {
1743  rotate = 1;
1744  if(vid2 > vid0)
1745  {
1746  standard = false;// reverse base direction
1747  }
1748  }
1749  else if ((vid0 < vid2)&&(vid0 < vid1))
1750  {
1751  rotate = 2;
1752  if(vid1 > vid2)
1753  {
1754  standard = false; // reverse base direction
1755  }
1756  }
1757 
1758  conn = Array<OneD, int>(12*(np-1)*(np-1)*(np-1));
1759 
1760  int row = 0;
1761  int rowp1 = 0;
1762  int plane = 0;
1763  int row1 = 0;
1764  int row1p1 = 0;
1765  int planep1 = 0;
1766  int cnt = 0;
1767 
1768 
1769  Array<OneD, int> rot(3);
1770 
1771  rot[0] = (0+rotate)%3;
1772  rot[1] = (1+rotate)%3;
1773  rot[2] = (2+rotate)%3;
1774 
1775  // lower diagonal along 1-3 on base
1776  for(int i = 0; i < np-1; ++i)
1777  {
1778  planep1 += (np-i)*np;
1779  row = 0; // current plane row offset
1780  rowp1 = 0; // current plane row plus one offset
1781  row1 = 0; // next plane row offset
1782  row1p1 = 0; // nex plane row plus one offset
1783  if(standard == false)
1784  {
1785  for(int j = 0; j < np-1; ++j)
1786  {
1787  rowp1 += np-i;
1788  row1p1 += np-i-1;
1789  for(int k = 0; k < np-i-2; ++k)
1790  {
1791  // bottom prism block
1792  prismpt[rot[0]] = plane + row + k;
1793  prismpt[rot[1]] = plane + row + k+1;
1794  prismpt[rot[2]] = planep1 + row1 + k;
1795 
1796  prismpt[3+rot[0]] = plane + rowp1 + k;
1797  prismpt[3+rot[1]] = plane + rowp1 + k+1;
1798  prismpt[3+rot[2]] = planep1 + row1p1 + k;
1799 
1800  conn[cnt++] = prismpt[0];
1801  conn[cnt++] = prismpt[1];
1802  conn[cnt++] = prismpt[3];
1803  conn[cnt++] = prismpt[2];
1804 
1805  conn[cnt++] = prismpt[5];
1806  conn[cnt++] = prismpt[2];
1807  conn[cnt++] = prismpt[3];
1808  conn[cnt++] = prismpt[4];
1809 
1810  conn[cnt++] = prismpt[3];
1811  conn[cnt++] = prismpt[1];
1812  conn[cnt++] = prismpt[4];
1813  conn[cnt++] = prismpt[2];
1814 
1815  // upper prism block.
1816  prismpt[rot[0]] = planep1 + row1 + k+1;
1817  prismpt[rot[1]] = planep1 + row1 + k;
1818  prismpt[rot[2]] = plane + row + k+1;
1819 
1820  prismpt[3+rot[0]] = planep1 + row1p1 + k+1;
1821  prismpt[3+rot[1]] = planep1 + row1p1 + k;
1822  prismpt[3+rot[2]] = plane + rowp1 + k+1;
1823 
1824 
1825  conn[cnt++] = prismpt[0];
1826  conn[cnt++] = prismpt[1];
1827  conn[cnt++] = prismpt[2];
1828  conn[cnt++] = prismpt[5];
1829 
1830  conn[cnt++] = prismpt[5];
1831  conn[cnt++] = prismpt[0];
1832  conn[cnt++] = prismpt[4];
1833  conn[cnt++] = prismpt[1];
1834 
1835  conn[cnt++] = prismpt[3];
1836  conn[cnt++] = prismpt[4];
1837  conn[cnt++] = prismpt[0];
1838  conn[cnt++] = prismpt[5];
1839 
1840  }
1841 
1842  // bottom prism block
1843  prismpt[rot[0]] = plane + row + np-i-2;
1844  prismpt[rot[1]] = plane + row + np-i-1;
1845  prismpt[rot[2]] = planep1 + row1 + np-i-2;
1846 
1847  prismpt[3+rot[0]] = plane + rowp1 + np-i-2;
1848  prismpt[3+rot[1]] = plane + rowp1 + np-i-1;
1849  prismpt[3+rot[2]] = planep1 + row1p1 + np-i-2;
1850 
1851  conn[cnt++] = prismpt[0];
1852  conn[cnt++] = prismpt[1];
1853  conn[cnt++] = prismpt[3];
1854  conn[cnt++] = prismpt[2];
1855 
1856  conn[cnt++] = prismpt[5];
1857  conn[cnt++] = prismpt[2];
1858  conn[cnt++] = prismpt[3];
1859  conn[cnt++] = prismpt[4];
1860 
1861  conn[cnt++] = prismpt[3];
1862  conn[cnt++] = prismpt[1];
1863  conn[cnt++] = prismpt[4];
1864  conn[cnt++] = prismpt[2];
1865 
1866  row += np-i;
1867  row1 += np-i-1;
1868  }
1869 
1870  }
1871  else
1872  { // lower diagonal along 0-4 on base
1873  for(int j = 0; j < np-1; ++j)
1874  {
1875  rowp1 += np-i;
1876  row1p1 += np-i-1;
1877  for(int k = 0; k < np-i-2; ++k)
1878  {
1879  // bottom prism block
1880  prismpt[rot[0]] = plane + row + k;
1881  prismpt[rot[1]] = plane + row + k+1;
1882  prismpt[rot[2]] = planep1 + row1 + k;
1883 
1884  prismpt[3+rot[0]] = plane + rowp1 + k;
1885  prismpt[3+rot[1]] = plane + rowp1 + k+1;
1886  prismpt[3+rot[2]] = planep1 + row1p1 + k;
1887 
1888  conn[cnt++] = prismpt[0];
1889  conn[cnt++] = prismpt[1];
1890  conn[cnt++] = prismpt[4];
1891  conn[cnt++] = prismpt[2];
1892 
1893  conn[cnt++] = prismpt[4];
1894  conn[cnt++] = prismpt[3];
1895  conn[cnt++] = prismpt[0];
1896  conn[cnt++] = prismpt[2];
1897 
1898  conn[cnt++] = prismpt[3];
1899  conn[cnt++] = prismpt[4];
1900  conn[cnt++] = prismpt[5];
1901  conn[cnt++] = prismpt[2];
1902 
1903  // upper prism block.
1904  prismpt[rot[0]] = planep1 + row1 + k+1;
1905  prismpt[rot[1]] = planep1 + row1 + k;
1906  prismpt[rot[2]] = plane + row + k+1;
1907 
1908  prismpt[3+rot[0]] = planep1 + row1p1 + k+1;
1909  prismpt[3+rot[1]] = planep1 + row1p1 + k;
1910  prismpt[3+rot[2]] = plane + rowp1 + k+1;
1911 
1912  conn[cnt++] = prismpt[0];
1913  conn[cnt++] = prismpt[2];
1914  conn[cnt++] = prismpt[1];
1915  conn[cnt++] = prismpt[5];
1916 
1917  conn[cnt++] = prismpt[3];
1918  conn[cnt++] = prismpt[5];
1919  conn[cnt++] = prismpt[0];
1920  conn[cnt++] = prismpt[1];
1921 
1922  conn[cnt++] = prismpt[5];
1923  conn[cnt++] = prismpt[3];
1924  conn[cnt++] = prismpt[4];
1925  conn[cnt++] = prismpt[1];
1926  }
1927 
1928  // bottom prism block
1929  prismpt[rot[0]] = plane + row + np-i-2;
1930  prismpt[rot[1]] = plane + row + np-i-1;
1931  prismpt[rot[2]] = planep1 + row1 + np-i-2;
1932 
1933  prismpt[3+rot[0]] = plane + rowp1 + np-i-2;
1934  prismpt[3+rot[1]] = plane + rowp1 + np-i-1;
1935  prismpt[3+rot[2]] = planep1 + row1p1 + np-i-2;
1936 
1937  conn[cnt++] = prismpt[0];
1938  conn[cnt++] = prismpt[1];
1939  conn[cnt++] = prismpt[4];
1940  conn[cnt++] = prismpt[2];
1941 
1942  conn[cnt++] = prismpt[4];
1943  conn[cnt++] = prismpt[3];
1944  conn[cnt++] = prismpt[0];
1945  conn[cnt++] = prismpt[2];
1946 
1947  conn[cnt++] = prismpt[3];
1948  conn[cnt++] = prismpt[4];
1949  conn[cnt++] = prismpt[5];
1950  conn[cnt++] = prismpt[2];
1951 
1952  row += np-i;
1953  row1 += np-i-1;
1954  }
1955 
1956  }
1957  plane += (np-i)*np;
1958  }
1959  }
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
StdRegions::StdExpansionSharedPtr Nektar::LocalRegions::PrismExp::v_GetStdExp ( void  ) const
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 451 of file PrismExp.cpp.

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

452  {
453  return MemoryManager<StdRegions::StdPrismExp>
454  ::AllocateSharedPtr(m_base[0]->GetBasisKey(),
455  m_base[1]->GetBasisKey(),
456  m_base[2]->GetBasisKey());
457  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
void Nektar::LocalRegions::PrismExp::v_HelmholtzMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 998 of file PrismExp.cpp.

References Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree().

1002  {
1003  PrismExp::v_HelmholtzMatrixOp_MatFree(inarray,outarray,mkey);
1004  }
Nektar::StdRegions::StdExpansion3D::v_HelmholtzMatrixOp_MatFree
virtual void v_HelmholtzMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
Definition: StdExpansion3D.cpp:248
NekDouble Nektar::LocalRegions::PrismExp::v_Integral ( const Array< OneD, const NekDouble > &  inarray)
protectedvirtual

Integrate the physical point list inarray over prismatic region and return the value.

Inputs:

  • inarray: definition of function to be returned at quadrature point of expansion.

Outputs:

  • returns $\int^1_{-1}\int^1_{-1}\int^1_{-1} u(\bar \eta_1, \xi_2, \xi_3) J[i,j,k] d \bar \eta_1 d \xi_2 d \xi_3 $
    $ = \sum_{i=0}^{Q_1 - 1} \sum_{j=0}^{Q_2 - 1} \sum_{k=0}^{Q_3 - 1} u(\bar \eta_{1i}^{0,0}, \xi_{2j}^{0,0},\xi_{3k}^{1,0})w_{i}^{0,0} w_{j}^{0,0} \hat w_{k}^{1,0} $
    where $ inarray[i,j, k] = u(\bar \eta_{1i}^{0,0}, \xi_{2j}^{0,0},\xi_{3k}^{1,0}) $,
    $\hat w_{i}^{1,0} = \frac {w_{j}^{1,0}} {2} $
    and $ J[i,j,k] $ is the Jacobian evaluated at the quadrature point.

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 111 of file PrismExp.cpp.

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

112  {
113  int nquad0 = m_base[0]->GetNumPoints();
114  int nquad1 = m_base[1]->GetNumPoints();
115  int nquad2 = m_base[2]->GetNumPoints();
116  Array<OneD, const NekDouble> jac = m_metricinfo->GetJac(GetPointsKeys());
117  Array<OneD, NekDouble> tmp(nquad0*nquad1*nquad2);
118 
119  // Multiply inarray with Jacobian
120  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
121  {
122  Vmath::Vmul(nquad0*nquad1*nquad2,&jac[0],1,(NekDouble*)&inarray[0],1,&tmp[0],1);
123  }
124  else
125  {
126  Vmath::Smul(nquad0*nquad1*nquad2,(NekDouble)jac[0],(NekDouble*)&inarray[0],1,&tmp[0],1);
127  }
128 
129  // Call StdPrismExp version.
130  return StdPrismExp::v_Integral(tmp);
131  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
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:213
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
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:183
void Nektar::LocalRegions::PrismExp::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*base2 and put into outarray:

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

$ \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\bar \eta_1) \psi_{q}^a (\xi_2) \psi_{pr}^b (\xi_3) $
which can be implemented as
$f_{pr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pr}^b u(\bar \eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} = {\bf B_3 U} $
$ g_{q} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pr} (\xi_{3k}) = {\bf B_2 F} $
$ (\phi_{pqr}, u)_{\delta} = \sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k}) = {\bf B_1 G} $

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 272 of file PrismExp.cpp.

References v_IProductWRTBase_SumFac().

Referenced by v_FwdTrans().

275  {
276  v_IProductWRTBase_SumFac(inarray, outarray);
277  }
Nektar::LocalRegions::PrismExp::v_IProductWRTBase_SumFac
virtual void v_IProductWRTBase_SumFac(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
Definition: PrismExp.cpp:279
void Nektar::LocalRegions::PrismExp::v_IProductWRTBase_SumFac ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
bool  multiplybyweights = true 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 279 of file PrismExp.cpp.

References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().

Referenced by v_IProductWRTBase().

283  {
284  const int nquad0 = m_base[0]->GetNumPoints();
285  const int nquad1 = m_base[1]->GetNumPoints();
286  const int nquad2 = m_base[2]->GetNumPoints();
287  const int order0 = m_base[0]->GetNumModes();
288  const int order1 = m_base[1]->GetNumModes();
289 
290  Array<OneD, NekDouble> wsp(order0*nquad2*(nquad1+order1));
291 
292  if(multiplybyweights)
293  {
294  Array<OneD, NekDouble> tmp(nquad0*nquad1*nquad2);
295 
296  MultiplyByQuadratureMetric(inarray, tmp);
297 
298  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
299  m_base[1]->GetBdata(),
300  m_base[2]->GetBdata(),
301  tmp,outarray,wsp,
302  true,true,true);
303  }
304  else
305  {
306  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata(),
307  m_base[1]->GetBdata(),
308  m_base[2]->GetBdata(),
309  inarray,outarray,wsp,
310  true,true,true);
311  }
312  }
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:947
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
Definition: StdExpansion3D.cpp:127
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
void Nektar::LocalRegions::PrismExp::v_IProductWRTDerivBase ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Calculates the inner product $ I_{pqr} = (u, \partial_{x_i} \phi_{pqr}) $.

The derivative of the basis functions is performed using the chain rule in order to incorporate the geometric factors. Assuming that the basis functions are a tensor product $\phi_{pqr}(\eta_1,\eta_2,\eta_3) = \phi_1(\eta_1)\phi_2(\eta_2)\phi_3(\eta_3)$, this yields the result

\[ I_{pqr} = \sum_{j=1}^3 \left(u, \frac{\partial u}{\partial \eta_j} \frac{\partial \eta_j}{\partial x_i}\right) \]

In the tetrahedral element, we must also incorporate a second set of geometric factors which incorporate the collapsed co-ordinate system, so that

\[ \frac{\partial\eta_j}{\partial x_i} = \sum_{k=1}^3 \frac{\partial\eta_j}{\partial\xi_k}\frac{\partial\xi_k}{\partial x_i} \]

These derivatives can be found on p152 of Sherwin & Karniadakis.

Parameters
dirDirection in which to take the derivative.
inarrayThe function $ u $.
outarrayValue of the inner product.

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 344 of file PrismExp.cpp.

References v_IProductWRTDerivBase_SumFac().

348  {
349  v_IProductWRTDerivBase_SumFac(dir, inarray, outarray);
350  }
Nektar::LocalRegions::PrismExp::v_IProductWRTDerivBase_SumFac
void v_IProductWRTDerivBase_SumFac(const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: PrismExp.cpp:352
void Nektar::LocalRegions::PrismExp::v_IProductWRTDerivBase_SumFac ( const int  dir,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 352 of file PrismExp.cpp.

References Nektar::SpatialDomains::eDeformed, Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().

Referenced by v_IProductWRTDerivBase().

356  {
357  const int nquad0 = m_base[0]->GetNumPoints();
358  const int nquad1 = m_base[1]->GetNumPoints();
359  const int nquad2 = m_base[2]->GetNumPoints();
360  const int order0 = m_base[0]->GetNumModes ();
361  const int order1 = m_base[1]->GetNumModes ();
362  const int nqtot = nquad0*nquad1*nquad2;
363  int i;
364 
365  const Array<OneD, const NekDouble> &z0 = m_base[0]->GetZ();
366  const Array<OneD, const NekDouble> &z2 = m_base[2]->GetZ();
367 
368  Array<OneD, NekDouble> gfac0(nquad0 );
369  Array<OneD, NekDouble> gfac2(nquad2 );
370  Array<OneD, NekDouble> tmp1 (nqtot );
371  Array<OneD, NekDouble> tmp2 (nqtot );
372  Array<OneD, NekDouble> tmp3 (nqtot );
373  Array<OneD, NekDouble> tmp4 (nqtot );
374  Array<OneD, NekDouble> tmp5 (nqtot );
375  Array<OneD, NekDouble> tmp6 (m_ncoeffs);
376  Array<OneD, NekDouble> wsp (order0*nquad2*(nquad1+order1));
377 
378  const Array<TwoD, const NekDouble>& df =
379  m_metricinfo->GetDerivFactors(GetPointsKeys());
380 
381  MultiplyByQuadratureMetric(inarray, tmp1);
382 
383  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
384  {
385  Vmath::Vmul(nqtot,&df[3*dir][0], 1,tmp1.get(),1,tmp2.get(),1);
386  Vmath::Vmul(nqtot,&df[3*dir+1][0],1,tmp1.get(),1,tmp3.get(),1);
387  Vmath::Vmul(nqtot,&df[3*dir+2][0],1,tmp1.get(),1,tmp4.get(),1);
388  }
389  else
390  {
391  Vmath::Smul(nqtot, df[3*dir][0], tmp1.get(),1,tmp2.get(), 1);
392  Vmath::Smul(nqtot, df[3*dir+1][0],tmp1.get(),1,tmp3.get(), 1);
393  Vmath::Smul(nqtot, df[3*dir+2][0],tmp1.get(),1,tmp4.get(), 1);
394  }
395 
396  // set up geometric factor: (1+z0)/2
397  for (i = 0; i < nquad0; ++i)
398  {
399  gfac0[i] = 0.5*(1+z0[i]);
400  }
401 
402  // Set up geometric factor: 2/(1-z2)
403  for (i = 0; i < nquad2; ++i)
404  {
405  gfac2[i] = 2.0/(1-z2[i]);
406  }
407 
408  const int nq01 = nquad0*nquad1;
409 
410  for (i = 0; i < nquad2; ++i)
411  {
412  Vmath::Smul(nq01,gfac2[i],&tmp2[0]+i*nq01,1,&tmp2[0]+i*nq01,1);
413  Vmath::Smul(nq01,gfac2[i],&tmp4[0]+i*nq01,1,&tmp5[0]+i*nq01,1);
414  }
415 
416  for(i = 0; i < nquad1*nquad2; ++i)
417  {
418  Vmath::Vmul(nquad0,&gfac0[0],1,&tmp5[0]+i*nquad0,1,
419  &tmp5[0]+i*nquad0,1);
420  }
421 
422  Vmath::Vadd(nqtot, &tmp2[0], 1, &tmp5[0], 1, &tmp2[0], 1);
423 
424  IProductWRTBase_SumFacKernel(m_base[0]->GetDbdata(),
425  m_base[1]->GetBdata (),
426  m_base[2]->GetBdata (),
427  tmp2,outarray,wsp,
428  true,true,true);
429 
430  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata (),
431  m_base[1]->GetDbdata(),
432  m_base[2]->GetBdata (),
433  tmp3,tmp6,wsp,
434  true,true,true);
435 
436  Vmath::Vadd(m_ncoeffs, tmp6, 1, outarray, 1, outarray, 1);
437 
438  IProductWRTBase_SumFacKernel(m_base[0]->GetBdata (),
439  m_base[1]->GetBdata (),
440  m_base[2]->GetDbdata(),
441  tmp4,tmp6,wsp,
442  true,true,true);
443 
444  Vmath::Vadd(m_ncoeffs, tmp6, 1, outarray, 1, outarray, 1);
445  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:947
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
Definition: StdExpansion3D.cpp:127
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:213
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:299
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:183
void Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 980 of file PrismExp.cpp.

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

984  {
985  PrismExp::LaplacianMatrixOp_MatFree(inarray,outarray,mkey);
986  }
Nektar::StdRegions::StdExpansion::LaplacianMatrixOp_MatFree
void LaplacianMatrixOp_MatFree(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
Definition: StdExpansion.h:1485
void Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp ( const int  k1,
const int  k2,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 988 of file PrismExp.cpp.

994  {
995  StdExpansion::LaplacianMatrixOp_MatFree(k1,k2,inarray,outarray,mkey);
996  }
void Nektar::LocalRegions::PrismExp::v_LaplacianMatrixOp_MatFree_Kernel ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
Array< OneD, NekDouble > &  wsp 
)
privatevirtual

Calculate the Laplacian multiplication in a matrix-free manner.

This function is the kernel of the Laplacian matrix-free operator, and is used in v_HelmholtzMatrixOp_MatFree to determine the effect of the Helmholtz operator in a similar fashion.

The majority of the calculation is precisely the same as in the hexahedral expansion; however the collapsed co-ordinate system must be taken into account when constructing the geometric factors. How this is done is detailed more exactly in the tetrahedral expansion. On entry to this function, the input #inarray must be in its backwards-transformed state (i.e. $\mathbf{u} = \mathbf{B}\hat{\mathbf{u}}$). The output is in coefficient space.

See also
TetExp::v_HelmholtzMatrixOp_MatFree

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1560 of file PrismExp.cpp.

References Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LocalRegions::Expansion::m_metricinfo, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Svtsvtp(), Vmath::Svtvp(), Vmath::Vadd(), Vmath::Vvtvp(), and Vmath::Vvtvvtp().

1564  {
1565  int nquad0 = m_base[0]->GetNumPoints();
1566  int nquad1 = m_base[1]->GetNumPoints();
1567  int nquad2 = m_base[2]->GetNumPoints();
1568  int nqtot = nquad0*nquad1*nquad2;
1569  int i;
1570 
1571  // Set up temporary storage.
1572  Array<OneD,NekDouble> alloc(11*nqtot,0.0);
1573  Array<OneD,NekDouble> wsp1 (alloc ); // TensorDeriv 1
1574  Array<OneD,NekDouble> wsp2 (alloc+ 1*nqtot); // TensorDeriv 2
1575  Array<OneD,NekDouble> wsp3 (alloc+ 2*nqtot); // TensorDeriv 3
1576  Array<OneD,NekDouble> g0 (alloc+ 3*nqtot); // g0
1577  Array<OneD,NekDouble> g1 (alloc+ 4*nqtot); // g1
1578  Array<OneD,NekDouble> g2 (alloc+ 5*nqtot); // g2
1579  Array<OneD,NekDouble> g3 (alloc+ 6*nqtot); // g3
1580  Array<OneD,NekDouble> g4 (alloc+ 7*nqtot); // g4
1581  Array<OneD,NekDouble> g5 (alloc+ 8*nqtot); // g5
1582  Array<OneD,NekDouble> h0 (alloc+ 3*nqtot); // h0 == g0
1583  Array<OneD,NekDouble> h1 (alloc+ 6*nqtot); // h1 == g3
1584  Array<OneD,NekDouble> wsp4 (alloc+ 4*nqtot); // wsp4 == g1
1585  Array<OneD,NekDouble> wsp5 (alloc+ 5*nqtot); // wsp5 == g2
1586  Array<OneD,NekDouble> wsp6 (alloc+ 8*nqtot); // wsp6 == g5
1587  Array<OneD,NekDouble> wsp7 (alloc+ 3*nqtot); // wsp7 == g0
1588  Array<OneD,NekDouble> wsp8 (alloc+ 9*nqtot); // wsp8
1589  Array<OneD,NekDouble> wsp9 (alloc+10*nqtot); // wsp9
1590 
1591  const Array<OneD, const NekDouble>& base0 = m_base[0]->GetBdata();
1592  const Array<OneD, const NekDouble>& base1 = m_base[1]->GetBdata();
1593  const Array<OneD, const NekDouble>& base2 = m_base[2]->GetBdata();
1594  const Array<OneD, const NekDouble>& dbase0 = m_base[0]->GetDbdata();
1595  const Array<OneD, const NekDouble>& dbase1 = m_base[1]->GetDbdata();
1596  const Array<OneD, const NekDouble>& dbase2 = m_base[2]->GetDbdata();
1597 
1598  // Step 1. LAPLACIAN MATRIX OPERATION
1599  // wsp1 = du_dxi1 = D_xi1 * wsp0 = D_xi1 * u
1600  // wsp2 = du_dxi2 = D_xi2 * wsp0 = D_xi2 * u
1601  // wsp3 = du_dxi3 = D_xi3 * wsp0 = D_xi3 * u
1602  StdExpansion3D::PhysTensorDeriv(inarray,wsp1,wsp2,wsp3);
1603 
1604  const Array<TwoD, const NekDouble>& df =
1605  m_metricinfo->GetDerivFactors(GetPointsKeys());
1606  const Array<OneD, const NekDouble>& z0 = m_base[0]->GetZ();
1607  const Array<OneD, const NekDouble>& z2 = m_base[2]->GetZ();
1608 
1609  // Step 2. Calculate the metric terms of the collapsed
1610  // coordinate transformation (Spencer's book P152)
1611  for (i = 0; i < nquad2; ++i)
1612  {
1613  Vmath::Fill(nquad0*nquad1, 2.0/(1.0-z2[i]), &h0[0]+i*nquad0*nquad1,1);
1614  Vmath::Fill(nquad0*nquad1, 2.0/(1.0-z2[i]), &h1[0]+i*nquad0*nquad1,1);
1615  }
1616  for (i = 0; i < nquad0; i++)
1617  {
1618  Blas::Dscal(nquad1*nquad2, 0.5*(1+z0[i]), &h1[0]+i, nquad0);
1619  }
1620 
1621  // Step 3. Construct combined metric terms for physical space to
1622  // collapsed coordinate system. Order of construction optimised
1623  // to minimise temporary storage
1624  if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1625  {
1626  // wsp4 = d eta_1/d x_1
1627  Vmath::Vvtvvtp(nqtot, &df[0][0], 1, &h0[0], 1, &df[2][0], 1, &h1[0], 1, &wsp4[0], 1);
1628  // wsp5 = d eta_2/d x_1
1629  Vmath::Vvtvvtp(nqtot, &df[3][0], 1, &h0[0], 1, &df[5][0], 1, &h1[0], 1, &wsp5[0], 1);
1630  // wsp6 = d eta_3/d x_1d
1631  Vmath::Vvtvvtp(nqtot, &df[6][0], 1, &h0[0], 1, &df[8][0], 1, &h1[0], 1, &wsp6[0], 1);
1632 
1633  // g0 (overwrites h0)
1634  Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g0[0], 1);
1635  Vmath::Vvtvp (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0], 1, &g0[0], 1);
1636 
1637  // g3 (overwrites h1)
1638  Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &wsp4[0], 1, &df[4][0], 1, &wsp5[0], 1, &g3[0], 1);
1639  Vmath::Vvtvp (nqtot, &df[7][0], 1, &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1640 
1641  // g4
1642  Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &wsp4[0], 1, &df[5][0], 1, &wsp5[0], 1, &g4[0], 1);
1643  Vmath::Vvtvp (nqtot, &df[8][0], 1, &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
1644 
1645  // Overwrite wsp4/5/6 with g1/2/5
1646  // g1
1647  Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &df[1][0], 1, &df[4][0], 1, &df[4][0], 1, &g1[0], 1);
1648  Vmath::Vvtvp (nqtot, &df[7][0], 1, &df[7][0], 1, &g1[0], 1, &g1[0], 1);
1649 
1650  // g2
1651  Vmath::Vvtvvtp(nqtot, &df[2][0], 1, &df[2][0], 1, &df[5][0], 1, &df[5][0], 1, &g2[0], 1);
1652  Vmath::Vvtvp (nqtot, &df[8][0], 1, &df[8][0], 1, &g2[0], 1, &g2[0], 1);
1653 
1654  // g5
1655  Vmath::Vvtvvtp(nqtot, &df[1][0], 1, &df[2][0], 1, &df[4][0], 1, &df[5][0], 1, &g5[0], 1);
1656  Vmath::Vvtvp (nqtot, &df[7][0], 1, &df[8][0], 1, &g5[0], 1, &g5[0], 1);
1657  }
1658  else
1659  {
1660  // wsp4 = d eta_1/d x_1
1661  Vmath::Svtsvtp(nqtot, df[0][0], &h0[0], 1, df[2][0], &h1[0], 1, &wsp4[0], 1);
1662  // wsp5 = d eta_2/d x_1
1663  Vmath::Svtsvtp(nqtot, df[3][0], &h0[0], 1, df[5][0], &h1[0], 1, &wsp5[0], 1);
1664  // wsp6 = d eta_3/d x_1
1665  Vmath::Svtsvtp(nqtot, df[6][0], &h0[0], 1, df[8][0], &h1[0], 1, &wsp6[0], 1);
1666 
1667  // g0 (overwrites h0)
1668  Vmath::Vvtvvtp(nqtot, &wsp4[0], 1, &wsp4[0], 1, &wsp5[0], 1, &wsp5[0], 1, &g0[0], 1);
1669  Vmath::Vvtvp (nqtot, &wsp6[0], 1, &wsp6[0], 1, &g0[0], 1, &g0[0], 1);
1670 
1671  // g3 (overwrites h1)
1672  Vmath::Svtsvtp(nqtot, df[1][0], &wsp4[0], 1, df[4][0], &wsp5[0], 1, &g3[0], 1);
1673  Vmath::Svtvp (nqtot, df[7][0], &wsp6[0], 1, &g3[0], 1, &g3[0], 1);
1674 
1675  // g4
1676  Vmath::Svtsvtp(nqtot, df[2][0], &wsp4[0], 1, df[5][0], &wsp5[0], 1, &g4[0], 1);
1677  Vmath::Svtvp (nqtot, df[8][0], &wsp6[0], 1, &g4[0], 1, &g4[0], 1);
1678 
1679  // Overwrite wsp4/5/6 with g1/2/5
1680  // g1
1681  Vmath::Fill(nqtot, df[1][0]*df[1][0] + df[4][0]*df[4][0] + df[7][0]*df[7][0], &g1[0], 1);
1682 
1683  // g2
1684  Vmath::Fill(nqtot, df[2][0]*df[2][0] + df[5][0]*df[5][0] + df[8][0]*df[8][0], &g2[0], 1);
1685 
1686  // g5
1687  Vmath::Fill(nqtot, df[1][0]*df[2][0] + df[4][0]*df[5][0] + df[7][0]*df[8][0], &g5[0], 1);
1688  }
1689  // Compute component derivatives into wsp7, 8, 9 (wsp7 overwrites
1690  // g0).
1691  Vmath::Vvtvvtp(nqtot,&g0[0],1,&wsp1[0],1,&g3[0],1,&wsp2[0],1,&wsp7[0],1);
1692  Vmath::Vvtvp (nqtot,&g4[0],1,&wsp3[0],1,&wsp7[0],1,&wsp7[0],1);
1693  Vmath::Vvtvvtp(nqtot,&g1[0],1,&wsp2[0],1,&g3[0],1,&wsp1[0],1,&wsp8[0],1);
1694  Vmath::Vvtvp (nqtot,&g5[0],1,&wsp3[0],1,&wsp8[0],1,&wsp8[0],1);
1695  Vmath::Vvtvvtp(nqtot,&g2[0],1,&wsp3[0],1,&g4[0],1,&wsp1[0],1,&wsp9[0],1);
1696  Vmath::Vvtvp (nqtot,&g5[0],1,&wsp2[0],1,&wsp9[0],1,&wsp9[0],1);
1697 
1698  // Step 4.
1699  // Multiply by quadrature metric
1700  MultiplyByQuadratureMetric(wsp7,wsp7);
1701  MultiplyByQuadratureMetric(wsp8,wsp8);
1702  MultiplyByQuadratureMetric(wsp9,wsp9);
1703 
1704  // Perform inner product w.r.t derivative bases.
1705  IProductWRTBase_SumFacKernel(dbase0,base1,base2,wsp7,wsp1, wsp,false,true,true);
1706  IProductWRTBase_SumFacKernel(base0,dbase1,base2,wsp8,wsp2, wsp,true,false,true);
1707  IProductWRTBase_SumFacKernel(base0,base1,dbase2,wsp9,outarray,wsp,true,true,false);
1708 
1709  // Step 5.
1710  // Sum contributions from wsp1, wsp2 and outarray.
1711  Vmath::Vadd(m_ncoeffs,wsp1.get(),1,outarray.get(),1,outarray.get(),1);
1712  Vmath::Vadd(m_ncoeffs,wsp2.get(),1,outarray.get(),1,outarray.get(),1);
1713  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric
void MultiplyByQuadratureMetric(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:947
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
Vmath::Svtvp
void Svtvp(int n, const T alpha, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
svtvp (scalar times vector plus vector): z = alpha*x + y
Definition: Vmath.cpp:485
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:442
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel
void IProductWRTBase_SumFacKernel(const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)
Definition: StdExpansion3D.cpp:127
Vmath::Vvtvvtp
void Vvtvvtp(int n, const T *v, int incv, const T *w, int incw, const T *x, int incx, const T *y, int incy, T *z, int incz)
vvtvvtp (vector times vector plus vector times vector):
Definition: Vmath.cpp:537
Vmath::Svtsvtp
void Svtsvtp(int n, const T alpha, const T *x, int incx, const T beta, const T *y, int incy, T *z, int incz)
vvtvvtp (scalar times vector plus scalar times vector):
Definition: Vmath.cpp:591
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
Vmath::Vadd
void Vadd(int n, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
Add vector z = x+y.
Definition: Vmath.cpp:299
void Nektar::LocalRegions::PrismExp::v_MassMatrixOp ( const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 972 of file PrismExp.cpp.

976  {
977  StdExpansion::MassMatrixOp_MatFree(inarray,outarray,mkey);
978  }
void Nektar::LocalRegions::PrismExp::v_PhysDeriv ( const Array< OneD, const NekDouble > &  u_physical,
Array< OneD, NekDouble > &  out_dxi1,
Array< OneD, NekDouble > &  out_dxi2,
Array< OneD, NekDouble > &  out_dxi3 
)
protectedvirtual

Calculate the derivative of the physical points.

The derivative is evaluated at the nodal physical points. Derivatives with respect to the local Cartesian coordinates.

$\begin{Bmatrix} \frac {\partial} {\partial \xi_1} \\ \frac {\partial} {\partial \xi_2} \\ \frac {\partial} {\partial \xi_3} \end{Bmatrix} = \begin{Bmatrix} \frac 2 {(1-\eta_3)} \frac \partial {\partial \bar \eta_1} \\ \frac {\partial} {\partial \xi_2} \ \ \frac {(1 + \bar \eta_1)} {(1 - \eta_3)} \frac \partial {\partial \bar \eta_1} + \frac {\partial} {\partial \eta_3} \end{Bmatrix}$

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 137 of file PrismExp.cpp.

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

141  {
142  int nqtot = GetTotPoints();
143 
144  Array<TwoD, const NekDouble> df =
145  m_metricinfo->GetDerivFactors(GetPointsKeys());
146  Array<OneD, NekDouble> diff0(nqtot);
147  Array<OneD, NekDouble> diff1(nqtot);
148  Array<OneD, NekDouble> diff2(nqtot);
149 
150  StdPrismExp::v_PhysDeriv(inarray, diff0, diff1, diff2);
151 
152  if(m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
153  {
154  if(out_d0.num_elements())
155  {
156  Vmath::Vmul (nqtot,&df[0][0],1,&diff0[0],1,&out_d0[0],1);
157  Vmath::Vvtvp (nqtot,&df[1][0],1,&diff1[0],1,&out_d0[0],1,&out_d0[0],1);
158  Vmath::Vvtvp (nqtot,&df[2][0],1,&diff2[0],1,&out_d0[0],1,&out_d0[0],1);
159  }
160 
161  if(out_d1.num_elements())
162  {
163  Vmath::Vmul (nqtot,&df[3][0],1,&diff0[0],1,&out_d1[0],1);
164  Vmath::Vvtvp (nqtot,&df[4][0],1,&diff1[0],1,&out_d1[0],1,&out_d1[0],1);
165  Vmath::Vvtvp (nqtot,&df[5][0],1,&diff2[0],1,&out_d1[0],1,&out_d1[0],1);
166  }
167 
168  if(out_d2.num_elements())
169  {
170  Vmath::Vmul (nqtot,&df[6][0],1,&diff0[0],1,&out_d2[0],1);
171  Vmath::Vvtvp (nqtot,&df[7][0],1,&diff1[0],1,&out_d2[0],1,&out_d2[0],1);
172  Vmath::Vvtvp (nqtot,&df[8][0],1,&diff2[0],1,&out_d2[0],1,&out_d2[0],1);
173  }
174  }
175  else // regular geometry
176  {
177  if(out_d0.num_elements())
178  {
179  Vmath::Smul (nqtot,df[0][0],&diff0[0],1,&out_d0[0],1);
180  Blas::Daxpy (nqtot,df[1][0],&diff1[0],1,&out_d0[0],1);
181  Blas::Daxpy (nqtot,df[2][0],&diff2[0],1,&out_d0[0],1);
182  }
183 
184  if(out_d1.num_elements())
185  {
186  Vmath::Smul (nqtot,df[3][0],&diff0[0],1,&out_d1[0],1);
187  Blas::Daxpy (nqtot,df[4][0],&diff1[0],1,&out_d1[0],1);
188  Blas::Daxpy (nqtot,df[5][0],&diff2[0],1,&out_d1[0],1);
189  }
190 
191  if(out_d2.num_elements())
192  {
193  Vmath::Smul (nqtot,df[6][0],&diff0[0],1,&out_d2[0],1);
194  Blas::Daxpy (nqtot,df[7][0],&diff1[0],1,&out_d2[0],1);
195  Blas::Daxpy (nqtot,df[8][0],&diff2[0],1,&out_d2[0],1);
196  }
197  }
198  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Vmath::Vvtvp
void Vvtvp(int n, const T *w, const int incw, const T *x, const int incx, const T *y, const int incy, T *z, const int incz)
vvtvp (vector times vector plus vector): z = w*x + y
Definition: Vmath.cpp:442
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
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:213
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
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:183
NekDouble Nektar::LocalRegions::PrismExp::v_PhysEvaluate ( const Array< OneD, const NekDouble > &  coords,
const Array< OneD, const NekDouble > &  physvals 
)
protectedvirtual

This function evaluates the expansion at a single (arbitrary) point of the domain.

Based on the value of the expansion at the quadrature points, this function calculates the value of the expansion at an arbitrary single points (with coordinates $ \mathbf{x_c}$ given by the pointer coords). This operation, equivalent to

\[ u(\mathbf{x_c}) = \sum_p \phi_p(\mathbf{x_c}) \hat{u}_p \]

is evaluated using Lagrangian interpolants through the quadrature points:

\[ u(\mathbf{x_c}) = \sum_p h_p(\mathbf{x_c}) u_p\]

This function requires that the physical value array $\mathbf{u}$ (implemented as the attribute #phys) is set.

Parameters
coordsthe coordinates of the single point
Returns
returns the value of the expansion at the single point

Reimplemented from Nektar::StdRegions::StdExpansion3D.

Definition at line 515 of file PrismExp.cpp.

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

517  {
518  Array<OneD, NekDouble> Lcoord(3);
519 
520  ASSERTL0(m_geom,"m_geom not defined");
521 
522  m_geom->GetLocCoords(coord, Lcoord);
523 
524  return StdPrismExp::v_PhysEvaluate(Lcoord, physvals);
525  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
NekDouble Nektar::LocalRegions::PrismExp::v_StdPhysEvaluate ( const Array< OneD, const NekDouble > &  Lcoord,
const Array< OneD, const NekDouble > &  physvals 
)
protectedvirtual

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

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 507 of file PrismExp.cpp.

510  {
511  // Evaluate point in local (eta) coordinates.
512  return StdPrismExp::v_PhysEvaluate(Lcoord,physvals);
513  }
void Nektar::LocalRegions::PrismExp::v_SVVLaplacianFilter ( Array< OneD, NekDouble > &  array,
const StdRegions::StdMatrixKey &  mkey 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdPrismExp.

Definition at line 1028 of file PrismExp.cpp.

References Nektar::SpatialDomains::eDeformed, Vmath::Fill(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::LocalRegions::Expansion::m_metricinfo, Vmath::Vdiv(), Vmath::Vmul(), and Vmath::Vsqrt().

1031  {
1032  int nq = GetTotPoints();
1033 
1034  // Calculate sqrt of the Jacobian
1035  Array<OneD, const NekDouble> jac =
1036  m_metricinfo->GetJac(GetPointsKeys());
1037  Array<OneD, NekDouble> sqrt_jac(nq);
1038  if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
1039  {
1040  Vmath::Vsqrt(nq,jac,1,sqrt_jac,1);
1041  }
1042  else
1043  {
1044  Vmath::Fill(nq,sqrt(jac[0]),sqrt_jac,1);
1045  }
1046 
1047  // Multiply array by sqrt(Jac)
1048  Vmath::Vmul(nq,sqrt_jac,1,array,1,array,1);
1049 
1050  // Apply std region filter
1051  StdPrismExp::v_SVVLaplacianFilter( array, mkey);
1052 
1053  // Divide by sqrt(Jac)
1054  Vmath::Vdiv(nq,array,1,sqrt_jac,1,array,1);
1055  }
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1323
Vmath::Vsqrt
void Vsqrt(int n, const T *x, const int incx, T *y, const int incy)
sqrt y = sqrt(x)
Definition: Vmath.cpp:408
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::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:131
Vmath::Vdiv
void Vdiv(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:241
Nektar::StdRegions::StdExpansion::GetTotPoints
int GetTotPoints() const
This function returns the total number of quadrature points used in the element.
Definition: StdExpansion.h:141
Nektar::SpatialDomains::eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:57
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:183

Member Data Documentation

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

Definition at line 211 of file PrismExp.h.

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

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

Definition at line 213 of file PrismExp.h.

Referenced by v_DropLocStaticCondMatrix(), and v_GetLocStaticCondMatrix().

Generated on Wed Mar 8 2017 12:29:51 for Nektar++ by   doxygen 1.8.8