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Nektar::LocalRegions::Expansion3D Class Reference

#include <Expansion3D.h>

Inheritance diagram for Nektar::LocalRegions::Expansion3D:
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Collaboration diagram for Nektar::LocalRegions::Expansion3D:
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Public Member Functions

 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)
 
- 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 int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
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::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)
 

Protected Member Functions

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 DNekMatSharedPtr v_GenMatrix (const StdRegions::StdMatrixKey &mkey)
 
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_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3)
 
virtual DNekScalMatSharedPtr v_GetLocMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs, std::vector< LibUtilities::BasisType > &fromType)
 
virtual void v_AddEdgeNormBoundaryInt (const int edge, const 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)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion
DNekMatSharedPtr CreateStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr CreateStdStaticCondMatrix (const StdMatrixKey &mkey)
 Create the static condensation of a matrix when using a boundary interior decomposition. More...
 
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 Create an IndexMap which contains mapping information linking any specific element shape with either its boundaries, edges, faces, verteces, etc. More...
 
void BwdTrans_MatOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GeneralMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree_Kernel (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp)
 
void LaplacianMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp_MatFree (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp_MatFree (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void HelmholtzMatrixOp_MatFree_GenericImpl (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
virtual void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
virtual NekDouble v_StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion3D
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
virtual NekDouble v_PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 
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)=0
 
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)=0
 
virtual void v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual void v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey)
 
virtual NekDouble v_Integral (const Array< OneD, const NekDouble > &inarray)
 Integrates the specified function over the domain. More...
 
virtual void v_NegateFaceNormal (const int face)
 
virtual bool v_FaceNormalNegated (const int face)
 
virtual int v_GetTraceNcoeffs (const int i) const
 

Private Attributes

std::vector< Expansion2DWeakPtr > m_faceExp
 
std::vector< bool > m_requireNeg
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::LocalRegions::Expansion
SpatialDomains::GeometrySharedPtr m_geom
 
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
 
MetricMap m_metrics
 
- 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::StdRegions::StdExpansion3D
std::map< int, NormalVector > m_faceNormals
 
std::map< int, bool > m_negatedNormals
 

Detailed Description

Definition at line 59 of file Expansion3D.h.

Constructor & Destructor Documentation

Nektar::LocalRegions::Expansion3D::Expansion3D ( SpatialDomains::Geometry3DSharedPtr  pGeom)
inline

Definition at line 63 of file Expansion3D.h.

63 : Expansion(pGeom), StdExpansion3D(), m_requireNeg() {}
Nektar::LocalRegions::Expansion3D::m_requireNeg
std::vector< bool > m_requireNeg
Definition: Expansion3D.h:177
Nektar::LocalRegions::Expansion::Expansion
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:48
virtual Nektar::LocalRegions::Expansion3D::~Expansion3D ( )
inlinevirtual

Definition at line 64 of file Expansion3D.h.

64 {}

Member Function Documentation

void Nektar::LocalRegions::Expansion3D::AddFaceBoundaryInt ( const int  face,
ExpansionSharedPtr &  FaceExp,
Array< OneD, NekDouble > &  facePhys,
Array< OneD, NekDouble > &  outarray,
const StdRegions::VarCoeffMap &  varcoeffs = StdRegions::NullVarCoeffMap 
)
inline

For a given face add the {F}_1j contributions

Definition at line 270 of file Expansion3D.cpp.

References Nektar::StdRegions::eFaceToElement.

276  {
277  int i;
278  int order_f = FaceExp->GetNcoeffs();
279  Array<OneD, NekDouble> coeff(order_f);
280 
281  StdRegions::IndexMapKey ikey(
282  StdRegions::eFaceToElement, DetShapeType(),
283  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
284  face, GetForient(face));
285  StdRegions::IndexMapValuesSharedPtr map =
286  StdExpansion::GetIndexMap(ikey);
287 
288 // StdRegions::VarCoeffType VarCoeff[3] = {StdRegions::eVarCoeffD00,
289 // StdRegions::eVarCoeffD11,
290 // StdRegions::eVarCoeffD22};
291 // StdRegions::VarCoeffMap::const_iterator x;
292 // Array<OneD, NekDouble> varcoeff_work(nquad_e);
293 //
294 ///// @TODO Variable coeffs
295 // if ((x = varcoeffs.find(VarCoeff[0])) != varcoeffs.end())
296 // {
297 // GetPhysEdgeVarCoeffsFromElement(edge,EdgeExp,x->second,varcoeff_work);
298 // Vmath::Vmul(nquad_e,varcoeff_work,1,EdgeExp->GetPhys(),1,EdgeExp->UpdatePhys(),1);
299 // }
300 
301  FaceExp->IProductWRTBase(facePhys, coeff);
302 
303  // add data to out array
304  for(i = 0; i < order_f; ++i)
305  {
306  outarray[(*map)[i].index] += (*map)[i].sign*coeff[i];
307  }
308  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
void Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms ( const NekDouble  tau,
const int  edge,
Array< OneD, NekDouble > &  facePhys,
const StdRegions::VarCoeffMap &  dirForcing,
Array< OneD, NekDouble > &  outarray 
)
inline

Definition at line 51 of file Expansion3D.cpp.

References Nektar::StdRegions::eFaceToElement, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::eWrapper, Vmath::Neg(), and Vmath::Vmul().

57  {
58  ExpansionSharedPtr FaceExp = GetFaceExp(face);
59  int i,j,n;
60  int nquad_f = FaceExp->GetNumPoints(0)*FaceExp->GetNumPoints(1);
61  int order_f = FaceExp->GetNcoeffs();
62  int coordim = GetCoordim();
63  int ncoeffs = GetNcoeffs();
64 
65  Array<OneD, NekDouble> inval (nquad_f);
66  Array<OneD, NekDouble> outcoeff(order_f);
67  Array<OneD, NekDouble> tmpcoeff(ncoeffs);
68 
69  const Array<OneD, const Array<OneD, NekDouble> > &normals
70  = GetFaceNormal(face);
71 
72  DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
73 
74  DNekVec Coeffs(ncoeffs,outarray,eWrapper);
75  DNekVec Tmpcoeff(ncoeffs,tmpcoeff,eWrapper);
76 
77  StdRegions::IndexMapKey ikey(
78  StdRegions::eFaceToElement, DetShapeType(),
79  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
80  face, GetForient(face));
81  StdRegions::IndexMapValuesSharedPtr map =
82  StdExpansion::GetIndexMap(ikey);
83 
84  StdRegions::MatrixType DerivType[3] = {StdRegions::eWeakDeriv0,
85  StdRegions::eWeakDeriv1,
86  StdRegions::eWeakDeriv2};
87 
88  // @TODO Variable coefficients
89  /*
90  StdRegions::VarCoeffType VarCoeff[3] = {StdRegions::eVarCoeffD00,
91  StdRegions::eVarCoeffD11,
92  StdRegions::eVarCoeffD22};
93  Array<OneD, NekDouble> varcoeff_work(nquad_f);
94  StdRegions::VarCoeffMap::const_iterator x;
95  ///// @TODO: What direction to use here??
96  if ((x = varcoeffs.find(VarCoeff[0])) != varcoeffs.end())
97  {
98  GetPhysFaceVarCoeffsFromElement(face,FaceExp,x->second,varcoeff_work);
99  Vmath::Vmul(nquad_f,varcoeff_work,1,FaceExp->GetPhys(),1,FaceExp->UpdatePhys(),1);
100  }
101  */
102 
103  //================================================================
104  // Add F = \tau <phi_i,in_phys>
105  // Fill face and take inner product
106  FaceExp->IProductWRTBase(facePhys, outcoeff);
107 
108  for(i = 0; i < order_f; ++i)
109  {
110  outarray[(*map)[i].index] += (*map)[i].sign*tau*outcoeff[i];
111  }
112  //================================================================
113 
114  NekDouble scale = invMass.Scale();
115  const NekDouble *data = invMass.GetRawPtr();
116 
117  //===============================================================
118  // Add -\sum_i D_i^T M^{-1} G_i + E_i M^{-1} G_i =
119  // \sum_i D_i M^{-1} G_i term
120 
121  // Three independent direction
122  for(n = 0; n < coordim; ++n)
123  {
124  Vmath::Vmul(nquad_f, normals[n], 1, facePhys, 1, inval, 1);
125 
126  if (m_negatedNormals[face])
127  {
128  Vmath::Neg(nquad_f, inval, 1);
129  }
130 
131  // @TODO Multiply by variable coefficients
132  // @TODO: Document this (probably not needed)
133  /*
134  StdRegions::VarCoeffMap::const_iterator x;
135  if ((x = varcoeffs.find(VarCoeff[n])) != varcoeffs.end())
136  {
137  GetPhysEdgeVarCoeffsFromElement(edge,FaceExp,x->second,varcoeff_work);
138  Vmath::Vmul(nquad_f,varcoeff_work,1,FaceExp->GetPhys(),1,FaceExp->UpdatePhys(),1);
139  }
140  */
141 
142  FaceExp->IProductWRTBase(inval, outcoeff);
143 
144  // M^{-1} G
145  for(i = 0; i < ncoeffs; ++i)
146  {
147  tmpcoeff[i] = 0;
148  for(j = 0; j < order_f; ++j)
149  {
150  tmpcoeff[i] += scale*data[i+(*map)[j].index*ncoeffs]*(*map)[j].sign*outcoeff[j];
151  }
152  }
153 
154  DNekScalMat &Dmat = *GetLocMatrix(DerivType[n]);
155  Coeffs = Coeffs + Dmat*Tmpcoeff;
156 
157  /*
158  if(varcoeffs.find(VarCoeff[n]) != varcoeffs.end())
159  {
160  MatrixKey mkey(DerivType[n], DetExpansionType(), *this, StdRegions::NullConstFactorMap, varcoeffs);
161  DNekScalMat &Dmat = *GetLocMatrix(mkey);
162  Coeffs = Coeffs + Dmat*Tmpcoeff;
163  }
164 
165  else
166  {
167  DNekScalMat &Dmat = *GetLocMatrix(DerivType[n]);
168  Coeffs = Coeffs + Dmat*Tmpcoeff;
169  }
170  */
171  }
172  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::StdRegions::StdExpansion::GetFaceNormal
const NormalVector & GetFaceNormal(const int face) const
Definition: StdExpansion.h:1308
Nektar::StdRegions::StdExpansion3D::m_negatedNormals
std::map< int, bool > m_negatedNormals
Definition: StdExpansion3D.h:205
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::LocalRegions::ExpansionSharedPtr
boost::shared_ptr< Expansion > ExpansionSharedPtr
Definition: Expansion.h:68
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
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::LocalRegions::Expansion3D::GetFaceExp
Expansion2DSharedPtr GetFaceExp(const int face)
Definition: Expansion3D.cpp:916
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
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::Expansion3D::AddNormTraceInt ( const int  dir,
Array< OneD, ExpansionSharedPtr > &  FaceExp,
Array< OneD, Array< OneD, NekDouble > > &  faceCoeffs,
Array< OneD, NekDouble > &  outarray 
)
inline

Definition at line 233 of file Expansion3D.cpp.

References Vmath::Neg(), and Vmath::Vmul().

238  {
239  int f, cnt;
240  int order_f, nquad_f;
241  int nfaces = GetNfaces();
242 
243  cnt = 0;
244  for(f = 0; f < nfaces; ++f)
245  {
246  order_f = FaceExp[f]->GetNcoeffs();
247  nquad_f = FaceExp[f]->GetNumPoints(0)*FaceExp[f]->GetNumPoints(1);
248 
249  const Array<OneD, const Array<OneD, NekDouble> > &normals = GetFaceNormal(f);
250  Array<OneD, NekDouble> facePhys(nquad_f);
251 
252  cnt += order_f;
253 
254  FaceExp[f]->BwdTrans(faceCoeffs[f], facePhys);
255 
256  Vmath::Vmul(nquad_f, normals[dir], 1, facePhys, 1, facePhys, 1);
257 
258  if (m_negatedNormals[f])
259  {
260  Vmath::Neg(nquad_f, facePhys, 1);
261  }
262 
263  AddFaceBoundaryInt(f, FaceExp[f], facePhys, outarray);
264  }
265  }
Nektar::LocalRegions::Expansion3D::AddFaceBoundaryInt
void AddFaceBoundaryInt(const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
Definition: Expansion3D.cpp:270
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::StdRegions::StdExpansion::GetFaceNormal
const NormalVector & GetFaceNormal(const int face) const
Definition: StdExpansion.h:1308
Nektar::StdRegions::StdExpansion3D::m_negatedNormals
std::map< int, bool > m_negatedNormals
Definition: StdExpansion3D.h:205
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
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::Expansion3D::AddNormTraceInt ( const int  dir,
Array< OneD, const NekDouble > &  inarray,
Array< OneD, ExpansionSharedPtr > &  FaceExp,
Array< OneD, NekDouble > &  outarray,
const StdRegions::VarCoeffMap &  varcoeffs 
)
inline

Computes the C matrix entries due to the presence of the identity matrix in Eqn. 32.

: Document this

Definition at line 178 of file Expansion3D.cpp.

References Vmath::Neg(), and Vmath::Vmul().

184  {
185  int i,f,cnt;
186  int order_f,nquad_f;
187  int nfaces = GetNfaces();
188 
189  cnt = 0;
190  for(f = 0; f < nfaces; ++f)
191  {
192  order_f = FaceExp[f]->GetNcoeffs();
193  nquad_f = FaceExp[f]->GetNumPoints(0)*FaceExp[f]->GetNumPoints(1);
194 
195  const Array<OneD, const Array<OneD, NekDouble> > &normals = GetFaceNormal(f);
196  Array<OneD, NekDouble> faceCoeffs(order_f);
197  Array<OneD, NekDouble> facePhys (nquad_f);
198 
199  for(i = 0; i < order_f; ++i)
200  {
201  faceCoeffs[i] = inarray[i+cnt];
202  }
203  cnt += order_f;
204 
205  FaceExp[f]->BwdTrans(faceCoeffs, facePhys);
206 
207  // Multiply by variable coefficient
208  /// @TODO: Document this
209 // StdRegions::VarCoeffType VarCoeff[3] = {StdRegions::eVarCoeffD00,
210 // StdRegions::eVarCoeffD11,
211 // StdRegions::eVarCoeffD22};
212 // StdRegions::VarCoeffMap::const_iterator x;
213 // Array<OneD, NekDouble> varcoeff_work(nquad_e);
214 
215 // if ((x = varcoeffs.find(VarCoeff[dir])) != varcoeffs.end())
216 // {
217 // GetPhysEdgeVarCoeffsFromElement(e,EdgeExp[e],x->second,varcoeff_work);
218 // Vmath::Vmul(nquad_e,varcoeff_work,1,EdgeExp[e]->GetPhys(),1,EdgeExp[e]->UpdatePhys(),1);
219 // }
220 
221  Vmath::Vmul(nquad_f, normals[dir], 1, facePhys, 1, facePhys, 1);
222 
223  if (m_negatedNormals[f])
224  {
225  Vmath::Neg(nquad_f, facePhys, 1);
226  }
227 
228  AddFaceBoundaryInt(f, FaceExp[f], facePhys, outarray, varcoeffs);
229  }
230  }
Nektar::LocalRegions::Expansion3D::AddFaceBoundaryInt
void AddFaceBoundaryInt(const int face, ExpansionSharedPtr &FaceExp, Array< OneD, NekDouble > &facePhys, Array< OneD, NekDouble > &outarray, const StdRegions::VarCoeffMap &varcoeffs=StdRegions::NullVarCoeffMap)
Definition: Expansion3D.cpp:270
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::StdRegions::StdExpansion::GetFaceNormal
const NormalVector & GetFaceNormal(const int face) const
Definition: StdExpansion.h:1308
Nektar::StdRegions::StdExpansion3D::m_negatedNormals
std::map< int, bool > m_negatedNormals
Definition: StdExpansion3D.h:205
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
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
Expansion2DSharedPtr Nektar::LocalRegions::Expansion3D::GetFaceExp ( const int  face)

Definition at line 916 of file Expansion3D.cpp.

917  {
918  return m_faceExp[face].lock();
919  }
Nektar::LocalRegions::Expansion3D::m_faceExp
std::vector< Expansion2DWeakPtr > m_faceExp
Definition: Expansion3D.h:176
SpatialDomains::Geometry3DSharedPtr Nektar::LocalRegions::Expansion3D::GetGeom3D ( ) const
inline

Definition at line 180 of file Expansion3D.h.

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

Referenced by Nektar::MultiRegions::ExpList2D::ExpList2D(), Nektar::MultiRegions::DisContField3D::SetUpDG(), and Nektar::LocalRegions::HexExp::v_GetFaceDGForwards().

181  {
182  return boost::dynamic_pointer_cast<SpatialDomains::Geometry3D>(m_geom);
183  }
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
void Nektar::LocalRegions::Expansion3D::ReOrientFacePhysMap ( const int  nvert,
const StdRegions::Orientation  orient,
const int  nq0,
const int  nq1,
Array< OneD, int > &  idmap 
)

Definition at line 2011 of file Expansion3D.cpp.

2015  {
2016  if(nvert == 3)
2017  {
2018  ReOrientTriFacePhysMap(orient,nq0,nq1,idmap);
2019  }
2020  else
2021  {
2022  ReOrientQuadFacePhysMap(orient,nq0,nq1,idmap);
2023  }
2024  }
Nektar::LocalRegions::Expansion3D::ReOrientQuadFacePhysMap
void ReOrientQuadFacePhysMap(const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
Definition: Expansion3D.cpp:2061
Nektar::LocalRegions::Expansion3D::ReOrientTriFacePhysMap
void ReOrientTriFacePhysMap(const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
Definition: Expansion3D.cpp:2026
void Nektar::LocalRegions::Expansion3D::ReOrientQuadFacePhysMap ( const StdRegions::Orientation  orient,
const int  nq0,
const int  nq1,
Array< OneD, int > &  idmap 
)
protected

Definition at line 2061 of file Expansion3D.cpp.

References ASSERTL0, Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1FwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, and Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1.

2065  {
2066  if(idmap.num_elements() != nq0*nq1)
2067  {
2068  idmap = Array<OneD,int>(nq0*nq1);
2069  }
2070 
2071 
2072  switch(orient)
2073  {
2074  case StdRegions::eDir1FwdDir1_Dir2FwdDir2:
2075  // eseentially straight copy
2076  for(int i = 0; i < nq0*nq1; ++i)
2077  {
2078  idmap[i] = i;
2079  }
2080  break;
2081  case StdRegions::eDir1BwdDir1_Dir2FwdDir2:
2082  {
2083  //Direction A negative and B positive
2084  for (int j = 0; j < nq1; j++)
2085  {
2086  for (int i =0; i < nq0; ++i)
2087  {
2088  idmap[j*nq0+i] = nq0-1-i + j*nq0;
2089  }
2090  }
2091  }
2092  break;
2093  case StdRegions::eDir1FwdDir1_Dir2BwdDir2:
2094  {
2095  //Direction A positive and B negative
2096  for (int j = 0; j < nq1; j++)
2097  {
2098  for (int i =0; i < nq0; ++i)
2099  {
2100  idmap[j*nq0+i] = nq0*(nq1-1-j)+i;
2101  }
2102  }
2103  }
2104  case StdRegions::eDir1BwdDir1_Dir2BwdDir2:
2105  {
2106  //Direction A negative and B negative
2107  for (int j = 0; j < nq1; j++)
2108  {
2109  for (int i =0; i < nq0; ++i)
2110  {
2111  idmap[j*nq0+i] = nq0*nq1-1-j*nq0 -i;
2112  }
2113  }
2114  }
2115  case StdRegions::eDir1FwdDir2_Dir2FwdDir1:
2116  {
2117  //Transposed, Direction A and B positive
2118  for (int i =0; i < nq0; ++i)
2119  {
2120  for (int j = 0; j < nq1; ++j)
2121  {
2122  idmap[i*nq1+j] = i + j*nq0;
2123  }
2124  }
2125  }
2126  break;
2127  case StdRegions::eDir1FwdDir2_Dir2BwdDir1:
2128  {
2129  //Transposed, Direction A positive and B negative
2130  for (int i =0; i < nq0; ++i)
2131  {
2132  for (int j = 0; j < nq1; ++j)
2133  {
2134  idmap[i*nq1+j] = nq0-1-i + j*nq0;
2135  }
2136  }
2137  }
2138  break;
2139  case StdRegions::eDir1BwdDir2_Dir2FwdDir1:
2140  {
2141  //Transposed, Direction A negative and B positive
2142  for (int i =0; i < nq0; ++i)
2143  {
2144  for (int j = 0; j < nq1; ++j)
2145  {
2146  idmap[i*nq1+j] = i+nq0*(nq1-1)-j*nq0;
2147  }
2148  }
2149  break;
2150  }
2151  case StdRegions::eDir1BwdDir2_Dir2BwdDir1:
2152  {
2153  //Transposed, Direction A and B negative
2154  for (int i =0; i < nq0; ++i)
2155  {
2156  for (int j = 0; j < nq1; ++j)
2157  {
2158  idmap[i*nq1+j] = nq0*nq1-1-i-j*nq0;
2159  }
2160  }
2161  }
2162  break;
2163  default:
2164  ASSERTL0(false,"Unknow orientation");
2165  break;
2166  }
2167  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
void Nektar::LocalRegions::Expansion3D::ReOrientTriFacePhysMap ( const StdRegions::Orientation  orient,
const int  nq0,
const int  nq1,
Array< OneD, int > &  idmap 
)
protected

Definition at line 2026 of file Expansion3D.cpp.

References ASSERTL0, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, and Nektar::StdRegions::eDir1FwdDir1_Dir2FwdDir2.

2030  {
2031  if(idmap.num_elements() != nq0*nq1)
2032  {
2033  idmap = Array<OneD,int>(nq0*nq1);
2034  }
2035 
2036  switch(orient)
2037  {
2038  case StdRegions::eDir1FwdDir1_Dir2FwdDir2:
2039  // eseentially straight copy
2040  for(int i = 0; i < nq0*nq1; ++i)
2041  {
2042  idmap[i] = i;
2043  }
2044  break;
2045  case StdRegions::eDir1BwdDir1_Dir2FwdDir2:
2046  // reverse
2047  for (int j = 0; j < nq1; ++j)
2048  {
2049  for(int i = 0; i < nq0; ++i)
2050  {
2051  idmap[j*nq0+i] = nq0-1-i +j*nq0;
2052  }
2053  }
2054  break;
2055  default:
2056  ASSERTL0(false,"Case not supposed to be used in this function");
2057  }
2058  }
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
void Nektar::LocalRegions::Expansion3D::SetFaceExp ( const int  face,
Expansion2DSharedPtr &  f 
)

Definition at line 905 of file Expansion3D.cpp.

References ASSERTL1.

906  {
907  int nFaces = GetNfaces();
908  ASSERTL1(face < nFaces, "Face is out of range.");
909  if (m_faceExp.size() < nFaces)
910  {
911  m_faceExp.resize(nFaces);
912  }
913  m_faceExp[face] = f;
914  }
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::LocalRegions::Expansion3D::m_faceExp
std::vector< Expansion2DWeakPtr > m_faceExp
Definition: Expansion3D.h:176
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:228
void Nektar::LocalRegions::Expansion3D::SetFaceToGeomOrientation ( const int  face,
Array< OneD, NekDouble > &  inout 
)

Align face orientation with the geometry orientation.

Definition at line 313 of file Expansion3D.cpp.

References ASSERTL1, Nektar::StdRegions::eDir1FwdDir1_Dir2FwdDir2, Nektar::StdRegions::eFaceToElement, and Vmath::Vcopy().

315  {
316  int j,k;
317  int nface = GetFaceNcoeffs(face);
318  Array<OneD, NekDouble> f_in(nface);
319  Vmath::Vcopy(nface,&inout[0],1,&f_in[0],1);
320 
321  // retreiving face to element map for standard face orientation and
322  // for actual face orientation
323  StdRegions::IndexMapKey ikey1(
324  StdRegions::eFaceToElement, DetShapeType(),
325  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
326  face, StdRegions::eDir1FwdDir1_Dir2FwdDir2);
327  StdRegions::IndexMapValuesSharedPtr map1 =
328  StdExpansion::GetIndexMap(ikey1);
329  StdRegions::IndexMapKey ikey2(
330  StdRegions::eFaceToElement, DetShapeType(),
331  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
332  face, GetForient(face));
333  StdRegions::IndexMapValuesSharedPtr map2 =
334  StdExpansion::GetIndexMap(ikey2);
335 
336  ASSERTL1((*map1).num_elements() == (*map2).num_elements(),
337  "There is an error with the GetFaceToElementMap");
338 
339  for(j = 0; j < (*map1).num_elements(); ++j)
340  {
341  // j = index in the standard orientation
342  for(k = 0; k < (*map2).num_elements(); ++k)
343  {
344  // k = index in the actual orientation
345  if((*map1)[j].index == (*map2)[k].index && k != j)
346  {
347  inout[k] = f_in[j];
348  //checking if sign is changing
349  if((*map1)[j].sign != (*map2)[k].sign)
350  inout[k] *= -1.0;
351  break;
352  }
353  }
354  }
355  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::StdRegions::StdExpansion::GetFaceNcoeffs
int GetFaceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th face.
Definition: StdExpansion.h:354
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:228
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
void Nektar::LocalRegions::Expansion3D::SetTraceToGeomOrientation ( Array< OneD, NekDouble > &  inout)

Align trace orientation with the geometry orientation.

Definition at line 360 of file Expansion3D.cpp.

361  {
362  int i,cnt = 0;
363  int nfaces = GetNfaces();
364 
365  Array<OneD, NekDouble> f_tmp;
366 
367  for(i = 0; i < nfaces; ++i)
368  {
369  SetFaceToGeomOrientation(i, f_tmp = inout + cnt);
370  cnt += GetFaceNcoeffs(i);
371  }
372  }
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::LocalRegions::Expansion3D::SetFaceToGeomOrientation
void SetFaceToGeomOrientation(const int face, Array< OneD, NekDouble > &inout)
Align face orientation with the geometry orientation.
Definition: Expansion3D.cpp:313
Nektar::StdRegions::StdExpansion::GetFaceNcoeffs
int GetFaceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th face.
Definition: StdExpansion.h:354
void Nektar::LocalRegions::Expansion3D::v_AddFaceNormBoundaryInt ( const int  face,
const ExpansionSharedPtr &  FaceExp,
const Array< OneD, const NekDouble > &  Fn,
Array< OneD, NekDouble > &  outarray 
)
protectedvirtual

Definition at line 921 of file Expansion3D.cpp.

References Nektar::StdRegions::eFaceToElement, Nektar::StdRegions::eMass, Nektar::LibUtilities::eQuadrilateral, and Nektar::LibUtilities::eTriangle.

926  {
927  int i, j;
928 
929  /*
930  * Coming into this routine, the velocity V will have been
931  * multiplied by the trace normals to give the input vector Vn. By
932  * convention, these normals are inwards facing for elements which
933  * have FaceExp as their right-adjacent face. This conditional
934  * statement therefore determines whether the normals must be
935  * negated, since the integral being performed here requires an
936  * outwards facing normal.
937  */
938  if (m_requireNeg.size() == 0)
939  {
940  m_requireNeg.resize(GetNfaces());
941 
942  for (i = 0; i < GetNfaces(); ++i)
943  {
944  m_requireNeg[i] = false;
945  if (m_negatedNormals[i])
946  {
947  m_requireNeg[i] = true;
948  continue;
949  }
950 
951  Expansion2DSharedPtr faceExp = m_faceExp[i].lock();
952 
953  if (faceExp->GetRightAdjacentElementExp())
954  {
955  if (faceExp->GetRightAdjacentElementExp()->GetGeom3D()
956  ->GetGlobalID() == GetGeom3D()->GetGlobalID())
957  {
958  m_requireNeg[i] = true;
959  }
960  }
961  }
962  }
963 
964  StdRegions::IndexMapKey ikey(
965  StdRegions::eFaceToElement, DetShapeType(),
966  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
967  face, GetForient(face));
968  StdRegions::IndexMapValuesSharedPtr map =
969  StdExpansion::GetIndexMap(ikey);
970 
971  int order_e = (*map).num_elements(); // Order of the element
972  int n_coeffs = FaceExp->GetNcoeffs();
973 
974  Array<OneD, NekDouble> faceCoeffs(n_coeffs);
975 
976  if (n_coeffs != order_e) // Going to orthogonal space
977  {
978  Array<OneD, NekDouble> coeff(n_coeffs);
979  Array<OneD, NekDouble> array(n_coeffs);
980 
981  FaceExp->FwdTrans(Fn, faceCoeffs);
982 
983  int NumModesElementMax = FaceExp->GetBasis(0)->GetNumModes();
984  int NumModesElementMin = m_base[0]->GetNumModes();
985 
986  FaceExp->ReduceOrderCoeffs(NumModesElementMin,
987  faceCoeffs,
988  faceCoeffs);
989 
990  StdRegions::StdMatrixKey masskey(StdRegions::eMass,
991  FaceExp->DetShapeType(),
992  *FaceExp);
993  FaceExp->MassMatrixOp(faceCoeffs, faceCoeffs, masskey);
994 
995  // Reorder coefficients for the lower degree face.
996  int offset1 = 0, offset2 = 0;
997 
998  if (FaceExp->DetShapeType() == LibUtilities::eQuadrilateral)
999  {
1000  for (i = 0; i < NumModesElementMin; ++i)
1001  {
1002  for (j = 0; j < NumModesElementMin; ++j)
1003  {
1004  faceCoeffs[offset1+j] =
1005  faceCoeffs[offset2+j];
1006  }
1007  offset1 += NumModesElementMin;
1008  offset2 += NumModesElementMax;
1009  }
1010 
1011  // Extract lower degree modes. TODO: Check this is correct.
1012  for (i = NumModesElementMin; i < NumModesElementMax; ++i)
1013  {
1014  for (j = NumModesElementMin; j < NumModesElementMax; ++j)
1015  {
1016  faceCoeffs[i*NumModesElementMax+j] = 0.0;
1017  }
1018  }
1019  }
1020 
1021  if (FaceExp->DetShapeType() == LibUtilities::eTriangle)
1022  {
1023 
1024  // Reorder coefficients for the lower degree face.
1025  int offset1 = 0, offset2 = 0;
1026 
1027  for (i = 0; i < NumModesElementMin; ++i)
1028  {
1029  for (j = 0; j < NumModesElementMin-i; ++j)
1030  {
1031  faceCoeffs[offset1+j] =
1032  faceCoeffs[offset2+j];
1033  }
1034  offset1 += NumModesElementMin-i;
1035  offset2 += NumModesElementMax-i;
1036  }
1037  }
1038 
1039  }
1040  else
1041  {
1042  FaceExp->IProductWRTBase(Fn, faceCoeffs);
1043  }
1044 
1045  if (m_requireNeg[face])
1046  {
1047  for (i = 0; i < order_e; ++i)
1048  {
1049  outarray[(*map)[i].index] -= (*map)[i].sign * faceCoeffs[i];
1050  }
1051  }
1052  else
1053  {
1054  for (i = 0; i < order_e; ++i)
1055  {
1056  outarray[(*map)[i].index] += (*map)[i].sign * faceCoeffs[i];
1057  }
1058  }
1059  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
Nektar::LocalRegions::Expansion3D::GetGeom3D
SpatialDomains::Geometry3DSharedPtr GetGeom3D() const
Definition: Expansion3D.h:180
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::LocalRegions::Expansion3D::m_requireNeg
std::vector< bool > m_requireNeg
Definition: Expansion3D.h:177
Nektar::StdRegions::StdExpansion3D::m_negatedNormals
std::map< int, bool > m_negatedNormals
Definition: StdExpansion3D.h:205
Nektar::LocalRegions::Expansion3D::m_faceExp
std::vector< Expansion2DWeakPtr > m_faceExp
Definition: Expansion3D.h:176
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
Nektar::LocalRegions::Expansion2DSharedPtr
boost::shared_ptr< Expansion2D > Expansion2DSharedPtr
Definition: Expansion1D.h:49
void Nektar::LocalRegions::Expansion3D::v_AddRobinMassMatrix ( const int  face,
const Array< OneD, const NekDouble > &  primCoeffs,
DNekMatSharedPtr &  inoutmat 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1097 of file Expansion3D.cpp.

References ASSERTL0, ASSERTL1, ASSERTL2, Nektar::StdRegions::eDir1FwdDir1_Dir2FwdDir2, Nektar::StdRegions::eFaceToElement, Nektar::StdRegions::eMass, Nektar::StdRegions::eVarCoeffMass, Nektar::StdRegions::NullConstFactorMap, and sign.

1101  {
1102  ASSERTL1(IsBoundaryInteriorExpansion(),
1103  "Not set up for non boundary-interior expansions");
1104  ASSERTL1(inoutmat->GetRows() == inoutmat->GetColumns(),
1105  "Assuming that input matrix was square");
1106 
1107  int i,j;
1108  int id1,id2;
1109  Expansion2DSharedPtr faceExp = m_faceExp[face].lock();
1110  int order_f = faceExp->GetNcoeffs();
1111 
1112  Array<OneD, unsigned int> map;
1113  Array<OneD, int> sign;
1114 
1115  StdRegions::VarCoeffMap varcoeffs;
1116  varcoeffs[StdRegions::eVarCoeffMass] = primCoeffs;
1117 
1118  LibUtilities::ShapeType shapeType =
1119  faceExp->DetShapeType();
1120 
1121  LocalRegions::MatrixKey mkey(StdRegions::eMass,
1122  shapeType,
1123  *faceExp,
1124  StdRegions::NullConstFactorMap,
1125  varcoeffs);
1126 
1127  DNekScalMat &facemat = *faceExp->GetLocMatrix(mkey);
1128 
1129  // Now need to identify a map which takes the local face
1130  // mass matrix to the matrix stored in inoutmat;
1131  // This can currently be deduced from the size of the matrix
1132 
1133  // - if inoutmat.m_rows() == v_NCoeffs() it is a full
1134  // matrix system
1135 
1136  // - if inoutmat.m_rows() == v_GetNverts() it is a vertex space
1137  // preconditioner.
1138 
1139  // - if inoutmat.m_rows() == v_NumBndCoeffs() it is a
1140  // boundary CG system
1141 
1142  // - if inoutmat.m_rows() == v_NumDGBndCoeffs() it is a
1143  // trace DG system; still needs implementing.
1144  int rows = inoutmat->GetRows();
1145 
1146  if (rows == GetNcoeffs())
1147  {
1148  GetFaceToElementMap(face,GetForient(face),map,sign);
1149  }
1150  else if (rows == GetNverts())
1151  {
1152  int nfvert = faceExp->GetNverts();
1153 
1154  // Need to find where linear vertices are in facemat
1155  Array<OneD, unsigned int> linmap;
1156  Array<OneD, int> linsign;
1157 
1158  // Use a linear expansion to get correct mapping
1159  GetLinStdExp()->GetFaceToElementMap(face,GetForient(face),linmap, linsign);
1160 
1161  // zero out sign map to remove all other modes
1162  sign = Array<OneD, int> (order_f,0);
1163  map = Array<OneD, unsigned int>(order_f,(unsigned int)0);
1164 
1165  int fmap;
1166  // Reset sign map to only have contribution from vertices
1167  for(i = 0; i < nfvert; ++i)
1168  {
1169  fmap = faceExp->GetVertexMap(i,true);
1170  sign[fmap] = 1;
1171 
1172  // need to reset map
1173  map[fmap] = linmap[i];
1174  }
1175  }
1176  else if(rows == NumBndryCoeffs())
1177  {
1178  int nbndry = NumBndryCoeffs();
1179  Array<OneD,unsigned int> bmap(nbndry);
1180 
1181  GetFaceToElementMap(face,GetForient(face),map,sign);
1182  GetBoundaryMap(bmap);
1183 
1184  for(i = 0; i < order_f; ++i)
1185  {
1186  for(j = 0; j < nbndry; ++j)
1187  {
1188  if(map[i] == bmap[j])
1189  {
1190  map[i] = j;
1191  break;
1192  }
1193  }
1194  ASSERTL1(j != nbndry,"Did not find number in map");
1195  }
1196  }
1197  else if (rows == NumDGBndryCoeffs())
1198  {
1199  // possibly this should be a separate method
1200  int cnt = 0;
1201  map = Array<OneD, unsigned int> (order_f);
1202  sign = Array<OneD, int> (order_f,1);
1203 
1204  StdRegions::IndexMapKey ikey1(
1205  StdRegions::eFaceToElement, DetShapeType(),
1206  GetBasisNumModes(0), GetBasisNumModes(1), GetBasisNumModes(2),
1207  face, GetForient(face));
1208  StdRegions::IndexMapValuesSharedPtr map1 =
1209  StdExpansion::GetIndexMap(ikey1);
1210  StdRegions::IndexMapKey ikey2(
1211  StdRegions::eFaceToElement,
1212  DetShapeType(),
1213  GetBasisNumModes(0),
1214  GetBasisNumModes(1),
1215  GetBasisNumModes(2),
1216  face,
1217  StdRegions::eDir1FwdDir1_Dir2FwdDir2);
1218  StdRegions::IndexMapValuesSharedPtr map2 =
1219  StdExpansion::GetIndexMap(ikey2);
1220 
1221  ASSERTL1((*map1).num_elements() == (*map2).num_elements(),
1222  "There is an error with the GetFaceToElementMap");
1223 
1224  for (i = 0; i < face; ++i)
1225  {
1226  cnt += GetFaceNcoeffs(i);
1227  }
1228 
1229  for(i = 0; i < (*map1).num_elements(); ++i)
1230  {
1231  int idx = -1;
1232 
1233  for(j = 0; j < (*map2).num_elements(); ++j)
1234  {
1235  if((*map1)[i].index == (*map2)[j].index)
1236  {
1237  idx = j;
1238  break;
1239  }
1240  }
1241 
1242  ASSERTL2(idx >= 0, "Index not found");
1243  map [i] = idx + cnt;
1244  sign[i] = (*map2)[idx].sign;
1245  }
1246  }
1247  else
1248  {
1249  ASSERTL0(false,"Could not identify matrix type from dimension");
1250  }
1251 
1252  for(i = 0; i < order_f; ++i)
1253  {
1254  id1 = map[i];
1255  for(j = 0; j < order_f; ++j)
1256  {
1257  id2 = map[j];
1258  (*inoutmat)(id1,id2) += facemat(i,j)*sign[i]*sign[j];
1259  }
1260  }
1261  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
sign
#define sign(a, b)
return the sign(b)*a
Definition: Polylib.cpp:27
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::StdRegions::StdExpansion::GetFaceToElementMap
void GetFaceToElementMap(const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
Definition: StdExpansion.h:860
Nektar::StdRegions::VarCoeffMap
std::map< StdRegions::VarCoeffType, Array< OneD, NekDouble > > VarCoeffMap
Definition: StdRegions.hpp:227
Nektar::StdRegions::StdExpansion::GetLinStdExp
boost::shared_ptr< StdExpansion > GetLinStdExp(void) const
Definition: StdExpansion.h:481
Nektar::StdRegions::StdExpansion::GetNverts
int GetNverts() const
This function returns the number of vertices of the expansion domain.
Definition: StdExpansion.h:259
Nektar::StdRegions::StdExpansion::GetFaceNcoeffs
int GetFaceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th face.
Definition: StdExpansion.h:354
Nektar::LocalRegions::Expansion3D::m_faceExp
std::vector< Expansion2DWeakPtr > m_faceExp
Definition: Expansion3D.h:176
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::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:228
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
Nektar::LocalRegions::Expansion2DSharedPtr
boost::shared_ptr< Expansion2D > Expansion2DSharedPtr
Definition: Expansion1D.h:49
Nektar::StdRegions::NullConstFactorMap
static ConstFactorMap NullConstFactorMap
Definition: StdRegions.hpp:253
DNekMatSharedPtr Nektar::LocalRegions::Expansion3D::v_BuildInverseTransformationMatrix ( const DNekScalMatSharedPtr &  m_transformationmatrix)
protectedvirtual

Build inverse and inverse transposed transformation matrix: $\mathbf{R^{-1}}$ and $\mathbf{R^{-T}}$.

{R^{-T}}=[[{array}{ccc} {I} & -{R}_{ef} & -{R}_{ve}+{R}_{ve}{R}_{vf} \ 0 & {I} & {R}_{ef} \ 0 & 0 & {I}} {array}]]

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1717 of file Expansion3D.cpp.

References Nektar::eFULL, and Vmath::Vcopy().

1719  {
1720  int i, j, n, eid = 0, fid = 0;
1721  int nCoeffs = NumBndryCoeffs();
1722  NekDouble MatrixValue;
1723  DNekScalMat &R = (*m_transformationmatrix);
1724 
1725  // Define storage for vertex transpose matrix and zero all entries
1726  MatrixStorage storage = eFULL;
1727 
1728  // Inverse transformation matrix
1729  DNekMatSharedPtr m_inversetransformationmatrix =
1730  MemoryManager<DNekMat>::AllocateSharedPtr(
1731  nCoeffs, nCoeffs, 0.0, storage);
1732  DNekMat &InvR = (*m_inversetransformationmatrix);
1733 
1734  int nVerts = GetNverts();
1735  int nEdges = GetNedges();
1736  int nFaces = GetNfaces();
1737 
1738  int nedgemodes = 0;
1739  int nfacemodes = 0;
1740  int nedgemodestotal = 0;
1741  int nfacemodestotal = 0;
1742 
1743  for (eid = 0; eid < nEdges; ++eid)
1744  {
1745  nedgemodes = GetEdgeNcoeffs(eid) - 2;
1746  nedgemodestotal += nedgemodes;
1747  }
1748 
1749  for (fid = 0; fid < nFaces; ++fid)
1750  {
1751  nfacemodes = GetFaceIntNcoeffs(fid);
1752  nfacemodestotal += nfacemodes;
1753  }
1754 
1755  Array<OneD, unsigned int>
1756  edgemodearray(nedgemodestotal);
1757  Array<OneD, unsigned int>
1758  facemodearray(nfacemodestotal);
1759 
1760  int offset = 0;
1761 
1762  // Create array of edge modes
1763  for (eid = 0; eid < nEdges; ++eid)
1764  {
1765  Array<OneD, unsigned int> edgearray
1766  = GetEdgeInverseBoundaryMap(eid);
1767  nedgemodes = GetEdgeNcoeffs(eid) - 2;
1768 
1769  // Only copy if there are edge modes
1770  if (nedgemodes)
1771  {
1772  Vmath::Vcopy(nedgemodes, &edgearray[0], 1,
1773  &edgemodearray[offset], 1);
1774  }
1775 
1776  offset += nedgemodes;
1777  }
1778 
1779  offset = 0;
1780 
1781  // Create array of face modes
1782  for (fid = 0; fid < nFaces; ++fid)
1783  {
1784  Array<OneD, unsigned int> facearray
1785  = GetFaceInverseBoundaryMap(fid);
1786  nfacemodes = GetFaceIntNcoeffs(fid);
1787 
1788  // Only copy if there are face modes
1789  if (nfacemodes)
1790  {
1791  Vmath::Vcopy(nfacemodes, &facearray[0], 1,
1792  &facemodearray[offset], 1);
1793  }
1794 
1795  offset += nfacemodes;
1796  }
1797 
1798  // Vertex-edge/face
1799  for (i = 0; i < nVerts; ++i)
1800  {
1801  for (j = 0; j < nedgemodestotal; ++j)
1802  {
1803  InvR.SetValue(
1804  GetVertexMap(i), edgemodearray[j],
1805  -R(GetVertexMap(i), edgemodearray[j]));
1806  }
1807  for (j = 0; j < nfacemodestotal; ++j)
1808  {
1809  InvR.SetValue(
1810  GetVertexMap(i), facemodearray[j],
1811  -R(GetVertexMap(i), facemodearray[j]));
1812  for (n = 0; n < nedgemodestotal; ++n)
1813  {
1814  MatrixValue = InvR.GetValue(GetVertexMap(i),
1815  facemodearray[j])
1816  + R(GetVertexMap(i), edgemodearray[n])
1817  * R(edgemodearray[n], facemodearray[j]);
1818  InvR.SetValue(GetVertexMap(i),
1819  facemodearray[j],
1820  MatrixValue);
1821  }
1822  }
1823  }
1824 
1825  // Edge-face contributions
1826  for (i = 0; i < nedgemodestotal; ++i)
1827  {
1828  for (j = 0; j < nfacemodestotal; ++j)
1829  {
1830  InvR.SetValue(
1831  edgemodearray[i], facemodearray[j],
1832  -R(edgemodearray[i], facemodearray[j]));
1833  }
1834  }
1835 
1836  for (i = 0; i < nCoeffs; ++i)
1837  {
1838  InvR.SetValue(i, i, 1.0);
1839  }
1840 
1841  return m_inversetransformationmatrix;
1842  }
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdExpansion::GetFaceInverseBoundaryMap
Array< OneD, unsigned int > GetFaceInverseBoundaryMap(int fid, StdRegions::Orientation faceOrient=eNoOrientation)
Definition: StdExpansion.h:1341
Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetEdgeInverseBoundaryMap
Array< OneD, unsigned int > GetEdgeInverseBoundaryMap(int eid)
Definition: StdExpansion.h:1335
Nektar::StdRegions::StdExpansion::GetVertexMap
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:824
Nektar::StdRegions::StdExpansion::GetFaceIntNcoeffs
int GetFaceIntNcoeffs(const int i) const
Definition: StdExpansion.h:359
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::GetNverts
int GetNverts() const
This function returns the number of vertices of the expansion domain.
Definition: StdExpansion.h:259
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
Nektar::StdRegions::StdExpansion::GetNedges
int GetNedges() const
This function returns the number of edges of the expansion domain.
Definition: StdExpansion.h:272
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
DNekMatSharedPtr Nektar::LocalRegions::Expansion3D::v_BuildTransformationMatrix ( const DNekScalMatSharedPtr &  r_bnd,
const StdRegions::MatrixType  matrixType 
)
protectedvirtual

The matrix component of $\mathbf{R}$ is given by

\[ \mathbf{R^{T}_{v}}= -\mathbf{S}^{-1}_{ef,ef}\mathbf{S}^{T}_{v,ef}\]

For every vertex mode we extract the submatrices from statically condensed matrix $\mathbf{S}$ corresponding to the coupling between the attached edges and faces of a vertex ( $\mathbf{S_{ef,ef}}$). This matrix is then inverted and multiplied by the submatrix representing the coupling between a vertex and the attached edges and faces ( $\mathbf{S_{v,ef}}$).

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1294 of file Expansion3D.cpp.

References ErrorUtil::efatal, Nektar::eFULL, Nektar::StdRegions::ePreconR, Nektar::StdRegions::ePreconRMass, Nektar::StdRegions::ePreconRT, Nektar::StdRegions::ePreconRTMass, NEKERROR, Nektar::NullDNekMatSharedPtr, and Vmath::Vcopy().

1297  {
1298  int nVerts, nEdges;
1299  int eid, fid, vid, n, i;
1300 
1301  int nBndCoeffs = NumBndryCoeffs();
1302 
1303  const SpatialDomains::Geometry3DSharedPtr &geom = GetGeom3D();
1304 
1305  // Get geometric information about this element
1306  nVerts = GetNverts();
1307  nEdges = GetNedges();
1308 
1309  /*************************************/
1310  /* Vetex-edge & vertex-face matrices */
1311  /*************************************/
1312 
1313  /**
1314  * The matrix component of \f$\mathbf{R}\f$ is given by \f[
1315  * \mathbf{R^{T}_{v}}=
1316  * -\mathbf{S}^{-1}_{ef,ef}\mathbf{S}^{T}_{v,ef}\f]
1317  *
1318  * For every vertex mode we extract the submatrices from statically
1319  * condensed matrix \f$\mathbf{S}\f$ corresponding to the coupling
1320  * between the attached edges and faces of a vertex
1321  * (\f$\mathbf{S_{ef,ef}}\f$). This matrix is then inverted and
1322  * multiplied by the submatrix representing the coupling between a
1323  * vertex and the attached edges and faces
1324  * (\f$\mathbf{S_{v,ef}}\f$).
1325  */
1326 
1327  int nmodes;
1328  int m;
1329  NekDouble VertexEdgeFaceValue;
1330 
1331  // The number of connected edges/faces is 3 (for all elements)
1332  int nConnectedEdges = 3;
1333  int nConnectedFaces = 3;
1334 
1335  // Location in the matrix
1336  Array<OneD, Array<OneD, unsigned int> >
1337  MatEdgeLocation(nConnectedEdges);
1338  Array<OneD, Array<OneD, unsigned int> >
1339  MatFaceLocation(nConnectedFaces);
1340 
1341  // Define storage for vertex transpose matrix and zero all entries
1342  MatrixStorage storage = eFULL;
1343  DNekMatSharedPtr m_transformationmatrix;
1344  DNekMatSharedPtr m_transposedtransformationmatrix;
1345 
1346  m_transformationmatrix =
1347  MemoryManager<DNekMat>::AllocateSharedPtr(
1348  nBndCoeffs, nBndCoeffs, 0.0, storage);
1349  m_transposedtransformationmatrix =
1350  MemoryManager<DNekMat>::AllocateSharedPtr(
1351  nBndCoeffs, nBndCoeffs, 0.0, storage);
1352 
1353  DNekMat &R = (*m_transformationmatrix);
1354  DNekMat &RT = (*m_transposedtransformationmatrix);
1355 
1356  // Build the vertex-edge/face transform matrix: This matrix is
1357  // constructed from the submatrices corresponding to the couping
1358  // between each vertex and the attached edges/faces
1359  for (vid = 0; vid < nVerts; ++vid)
1360  {
1361  // Row and column size of the vertex-edge/face matrix
1362  int efRow =
1363  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 0)) +
1364  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 1)) +
1365  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 2)) +
1366  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 0)) +
1367  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 1)) +
1368  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 2)) - 6;
1369 
1370  int nedgemodesconnected =
1371  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 0)) +
1372  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 1)) +
1373  GetEdgeNcoeffs (geom->GetVertexEdgeMap(vid, 2)) - 6;
1374  Array<OneD, unsigned int> edgemodearray(nedgemodesconnected);
1375 
1376  int nfacemodesconnected =
1377  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 0)) +
1378  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 1)) +
1379  GetFaceIntNcoeffs(geom->GetVertexFaceMap(vid, 2));
1380  Array<OneD, unsigned int> facemodearray(nfacemodesconnected);
1381 
1382  int offset = 0;
1383 
1384  // Create array of edge modes
1385  for (eid = 0; eid < nConnectedEdges; ++eid)
1386  {
1387  MatEdgeLocation[eid] = GetEdgeInverseBoundaryMap(
1388  geom->GetVertexEdgeMap(vid, eid));
1389  nmodes = MatEdgeLocation[eid].num_elements();
1390 
1391  if (nmodes)
1392  {
1393  Vmath::Vcopy(nmodes, &MatEdgeLocation[eid][0],
1394  1, &edgemodearray[offset], 1);
1395  }
1396 
1397  offset += nmodes;
1398  }
1399 
1400  offset = 0;
1401 
1402  // Create array of face modes
1403  for (fid = 0; fid < nConnectedFaces; ++fid)
1404  {
1405  MatFaceLocation[fid] = GetFaceInverseBoundaryMap(
1406  geom->GetVertexFaceMap(vid, fid));
1407  nmodes = MatFaceLocation[fid].num_elements();
1408 
1409  if (nmodes)
1410  {
1411  Vmath::Vcopy(nmodes, &MatFaceLocation[fid][0],
1412  1, &facemodearray[offset], 1);
1413  }
1414  offset += nmodes;
1415  }
1416 
1417  DNekMatSharedPtr m_vertexedgefacetransformmatrix =
1418  MemoryManager<DNekMat>::AllocateSharedPtr(
1419  1, efRow, 0.0, storage);
1420  DNekMat &Sveft = (*m_vertexedgefacetransformmatrix);
1421 
1422  DNekMatSharedPtr m_vertexedgefacecoupling =
1423  MemoryManager<DNekMat>::AllocateSharedPtr(
1424  1, efRow, 0.0, storage);
1425  DNekMat &Svef = (*m_vertexedgefacecoupling);
1426 
1427  // Vertex-edge coupling
1428  for (n = 0; n < nedgemodesconnected; ++n)
1429  {
1430  // Matrix value for each coefficient location
1431  VertexEdgeFaceValue = (*r_bnd)(GetVertexMap(vid),
1432  edgemodearray[n]);
1433 
1434  // Set the value in the vertex edge/face matrix
1435  Svef.SetValue(0, n, VertexEdgeFaceValue);
1436  }
1437 
1438  // Vertex-face coupling
1439  for (n = 0; n < nfacemodesconnected; ++n)
1440  {
1441  // Matrix value for each coefficient location
1442  VertexEdgeFaceValue = (*r_bnd)(GetVertexMap(vid),
1443  facemodearray[n]);
1444 
1445  // Set the value in the vertex edge/face matrix
1446  Svef.SetValue(0, n + nedgemodesconnected, VertexEdgeFaceValue);
1447  }
1448 
1449  /*
1450  * Build the edge-face transform matrix: This matrix is
1451  * constructed from the submatrices corresponding to the couping
1452  * between the edges and faces on the attached faces/edges of a
1453  * vertex.
1454  */
1455 
1456  // Allocation of matrix to store edge/face-edge/face coupling
1457  DNekMatSharedPtr m_edgefacecoupling =
1458  MemoryManager<DNekMat>::AllocateSharedPtr(
1459  efRow, efRow, 0.0, storage);
1460  DNekMat &Sefef = (*m_edgefacecoupling);
1461 
1462  NekDouble EdgeEdgeValue, FaceFaceValue;
1463 
1464  // Edge-edge coupling (S_{ee})
1465  for (m = 0; m < nedgemodesconnected; ++m)
1466  {
1467  for (n = 0; n < nedgemodesconnected; ++n)
1468  {
1469  // Matrix value for each coefficient location
1470  EdgeEdgeValue = (*r_bnd)(edgemodearray[n],
1471  edgemodearray[m]);
1472 
1473  // Set the value in the vertex edge/face matrix
1474  Sefef.SetValue(n, m, EdgeEdgeValue);
1475  }
1476  }
1477 
1478  // Face-face coupling (S_{ff})
1479  for (n = 0; n < nfacemodesconnected; ++n)
1480  {
1481  for (m = 0; m < nfacemodesconnected; ++m)
1482  {
1483  // Matrix value for each coefficient location
1484  FaceFaceValue = (*r_bnd)(facemodearray[n],
1485  facemodearray[m]);
1486  // Set the value in the vertex edge/face matrix
1487  Sefef.SetValue(nedgemodesconnected + n,
1488  nedgemodesconnected + m, FaceFaceValue);
1489  }
1490  }
1491 
1492  // Edge-face coupling (S_{ef} and trans(S_{ef}))
1493  for (n = 0; n < nedgemodesconnected; ++n)
1494  {
1495  for (m = 0; m < nfacemodesconnected; ++m)
1496  {
1497  // Matrix value for each coefficient location
1498  FaceFaceValue = (*r_bnd)(edgemodearray[n],
1499  facemodearray[m]);
1500 
1501  // Set the value in the vertex edge/face matrix
1502  Sefef.SetValue(n,
1503  nedgemodesconnected + m,
1504  FaceFaceValue);
1505 
1506  // and transpose
1507  Sefef.SetValue(nedgemodesconnected + m,
1508  n,
1509  FaceFaceValue);
1510  }
1511  }
1512 
1513 
1514  // Invert edge-face coupling matrix
1515  if (efRow)
1516  {
1517  Sefef.Invert();
1518 
1519  //R_{v}=-S_{v,ef}inv(S_{ef,ef})
1520  Sveft = -Svef * Sefef;
1521  }
1522 
1523  // Populate R with R_{ve} components
1524  for (n = 0; n < edgemodearray.num_elements(); ++n)
1525  {
1526  RT.SetValue(edgemodearray[n], GetVertexMap(vid),
1527  Sveft(0, n));
1528  R.SetValue(GetVertexMap(vid), edgemodearray[n],
1529  Sveft(0, n));
1530  }
1531 
1532  // Populate R with R_{vf} components
1533  for (n = 0; n < facemodearray.num_elements(); ++n)
1534  {
1535  RT.SetValue(facemodearray[n], GetVertexMap(vid),
1536  Sveft(0, n + nedgemodesconnected));
1537  R.SetValue(GetVertexMap(vid), facemodearray[n],
1538  Sveft(0, n + nedgemodesconnected));
1539  }
1540  }
1541 
1542  /********************/
1543  /* edge-face matrix */
1544  /********************/
1545 
1546  /*
1547  * The matrix component of \f$\mathbf{R}\f$ is given by \f[
1548  * \mathbf{R^{T}_{ef}}=-\mathbf{S}^{-1}_{ff}\mathbf{S}^{T}_{ef}\f]
1549  *
1550  * For each edge extract the submatrices from statically condensed
1551  * matrix \f$\mathbf{S}\f$ corresponding to inner products of modes
1552  * on the two attached faces within themselves as well as the
1553  * coupling matrix between the two faces
1554  * (\f$\mathbf{S}_{ff}\f$). This matrix of face coupling is then
1555  * inverted and multiplied by the submatrices of corresponding to
1556  * the coupling between the edge and attached faces
1557  * (\f$\mathbf{S}_{ef}\f$).
1558  */
1559 
1560  NekDouble EdgeFaceValue, FaceFaceValue;
1561  int efCol, efRow, nedgemodes;
1562 
1563  // Number of attached faces is always 2
1564  nConnectedFaces = 2;
1565 
1566  // Location in the matrix
1567  MatEdgeLocation = Array<OneD, Array<OneD, unsigned int> >
1568  (nEdges);
1569  MatFaceLocation = Array<OneD, Array<OneD, unsigned int> >
1570  (nConnectedFaces);
1571 
1572  // Build the edge/face transform matrix: This matrix is constructed
1573  // from the submatrices corresponding to the couping between a
1574  // specific edge and the two attached faces.
1575  for (eid = 0; eid < nEdges; ++eid)
1576  {
1577  // Row and column size of the vertex-edge/face matrix
1578  efCol = GetFaceIntNcoeffs(geom->GetEdgeFaceMap(eid, 0)) +
1579  GetFaceIntNcoeffs(geom->GetEdgeFaceMap(eid, 1));
1580  efRow = GetEdgeNcoeffs(eid) - 2;
1581 
1582  // Edge-face coupling matrix
1583  DNekMatSharedPtr m_efedgefacecoupling =
1584  MemoryManager<DNekMat>::AllocateSharedPtr(
1585  efRow, efCol, 0.0, storage);
1586  DNekMat &Mef = (*m_efedgefacecoupling);
1587 
1588  // Face-face coupling matrix
1589  DNekMatSharedPtr m_effacefacecoupling =
1590  MemoryManager<DNekMat>::AllocateSharedPtr(
1591  efCol, efCol, 0.0, storage);
1592  DNekMat &Meff = (*m_effacefacecoupling);
1593 
1594  // Edge-face transformation matrix
1595  DNekMatSharedPtr m_edgefacetransformmatrix =
1596  MemoryManager<DNekMat>::AllocateSharedPtr(
1597  efRow, efCol, 0.0, storage);
1598  DNekMat &Meft = (*m_edgefacetransformmatrix);
1599 
1600  int nfacemodesconnected =
1601  GetFaceIntNcoeffs(geom->GetEdgeFaceMap(eid, 0)) +
1602  GetFaceIntNcoeffs(geom->GetEdgeFaceMap(eid, 1));
1603  Array<OneD, unsigned int>
1604  facemodearray(nfacemodesconnected);
1605 
1606  // Create array of edge modes
1607  Array<OneD, unsigned int> inedgearray
1608  = GetEdgeInverseBoundaryMap(eid);
1609  nedgemodes = GetEdgeNcoeffs(eid) - 2;
1610  Array<OneD, unsigned int> edgemodearray(nedgemodes);
1611 
1612  if (nedgemodes)
1613  {
1614  Vmath::Vcopy(nedgemodes, &inedgearray[0],
1615  1, &edgemodearray[0], 1);
1616  }
1617 
1618  int offset = 0;
1619 
1620  // Create array of face modes
1621  for (fid = 0; fid < nConnectedFaces; ++fid)
1622  {
1623  MatFaceLocation[fid] = GetFaceInverseBoundaryMap(
1624  geom->GetEdgeFaceMap(eid, fid));
1625  nmodes = MatFaceLocation[fid].num_elements();
1626 
1627  if (nmodes)
1628  {
1629  Vmath::Vcopy(nmodes, &MatFaceLocation[fid][0],
1630  1, &facemodearray[offset], 1);
1631  }
1632  offset += nmodes;
1633  }
1634 
1635  // Edge-face coupling
1636  for (n = 0; n < nedgemodes; ++n)
1637  {
1638  for (m = 0; m < nfacemodesconnected; ++m)
1639  {
1640  // Matrix value for each coefficient location
1641  EdgeFaceValue = (*r_bnd)(edgemodearray[n],
1642  facemodearray[m]);
1643 
1644  // Set the value in the edge/face matrix
1645  Mef.SetValue(n, m, EdgeFaceValue);
1646  }
1647  }
1648 
1649  // Face-face coupling
1650  for (n = 0; n < nfacemodesconnected; ++n)
1651  {
1652  for (m = 0; m < nfacemodesconnected; ++m)
1653  {
1654  // Matrix value for each coefficient location
1655  FaceFaceValue = (*r_bnd)(facemodearray[n],
1656  facemodearray[m]);
1657 
1658  // Set the value in the vertex edge/face matrix
1659  Meff.SetValue(n, m, FaceFaceValue);
1660  }
1661  }
1662 
1663  if (efCol)
1664  {
1665  // Invert edge-face coupling matrix
1666  Meff.Invert();
1667 
1668  // trans(R_{ef})=-S_{ef}*(inv(S_{ff})
1669  Meft = -Mef * Meff;
1670  }
1671 
1672  //Populate transformation matrix with Meft
1673  for (n = 0; n < Meft.GetRows(); ++n)
1674  {
1675  for (m = 0; m < Meft.GetColumns(); ++m)
1676  {
1677  R.SetValue(edgemodearray[n], facemodearray[m],
1678  Meft(n, m));
1679  RT.SetValue(facemodearray[m], edgemodearray[n],
1680  Meft(n, m));
1681  }
1682  }
1683  }
1684 
1685  for (i = 0; i < R.GetRows(); ++i)
1686  {
1687  R.SetValue(i, i, 1.0);
1688  RT.SetValue(i, i, 1.0);
1689  }
1690 
1691  if ((matrixType == StdRegions::ePreconR)||
1692  (matrixType == StdRegions::ePreconRMass))
1693  {
1694  return m_transformationmatrix;
1695  }
1696  else if ((matrixType == StdRegions::ePreconRT)||
1697  (matrixType == StdRegions::ePreconRTMass))
1698  {
1699  return m_transposedtransformationmatrix;
1700  }
1701  else
1702  {
1703  NEKERROR(ErrorUtil::efatal, "unkown matrix type" );
1704  return NullDNekMatSharedPtr;
1705  }
1706  }
NEKERROR
#define NEKERROR(type, msg)
Assert Level 0 – Fundamental assert which is used whether in FULLDEBUG, DEBUG or OPT compilation mod...
Definition: ErrorUtil.hpp:191
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdExpansion::GetFaceInverseBoundaryMap
Array< OneD, unsigned int > GetFaceInverseBoundaryMap(int fid, StdRegions::Orientation faceOrient=eNoOrientation)
Definition: StdExpansion.h:1341
Nektar::LocalRegions::Expansion3D::GetGeom3D
SpatialDomains::Geometry3DSharedPtr GetGeom3D() const
Definition: Expansion3D.h:180
Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::NullDNekMatSharedPtr
static DNekMatSharedPtr NullDNekMatSharedPtr
Definition: NekTypeDefs.hpp:79
Nektar::StdRegions::StdExpansion::GetEdgeInverseBoundaryMap
Array< OneD, unsigned int > GetEdgeInverseBoundaryMap(int eid)
Definition: StdExpansion.h:1335
Nektar::StdRegions::StdExpansion::GetVertexMap
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:824
Nektar::StdRegions::StdExpansion::GetFaceIntNcoeffs
int GetFaceIntNcoeffs(const int i) const
Definition: StdExpansion.h:359
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::GetNverts
int GetNverts() const
This function returns the number of vertices of the expansion domain.
Definition: StdExpansion.h:259
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
Nektar::StdRegions::StdExpansion::GetNedges
int GetNedges() const
This function returns the number of edges of the expansion domain.
Definition: StdExpansion.h:272
Nektar::SpatialDomains::Geometry3DSharedPtr
boost::shared_ptr< Geometry3D > Geometry3DSharedPtr
Definition: Geometry3D.h:52
DNekMatSharedPtr Nektar::LocalRegions::Expansion3D::v_BuildVertexMatrix ( const DNekScalMatSharedPtr &  r_bnd)
protectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1263 of file Expansion3D.cpp.

References Nektar::eFULL.

1265  {
1266  MatrixStorage storage = eFULL;
1267  DNekMatSharedPtr m_vertexmatrix;
1268 
1269  int nVerts, vid1, vid2, vMap1, vMap2;
1270  NekDouble VertexValue;
1271 
1272  nVerts = GetNverts();
1273 
1274  m_vertexmatrix =
1275  MemoryManager<DNekMat>::AllocateSharedPtr(
1276  nVerts, nVerts, 0.0, storage);
1277  DNekMat &VertexMat = (*m_vertexmatrix);
1278 
1279  for (vid1 = 0; vid1 < nVerts; ++vid1)
1280  {
1281  vMap1 = GetVertexMap(vid1,true);
1282 
1283  for (vid2 = 0; vid2 < nVerts; ++vid2)
1284  {
1285  vMap2 = GetVertexMap(vid2,true);
1286  VertexValue = (*r_bnd)(vMap1, vMap2);
1287  VertexMat.SetValue(vid1, vid2, VertexValue);
1288  }
1289  }
1290 
1291  return m_vertexmatrix;
1292  }
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::DNekMatSharedPtr
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
Nektar::StdRegions::StdExpansion::GetVertexMap
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:824
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::StdRegions::StdExpansion::GetNverts
int GetNverts() const
This function returns the number of vertices of the expansion domain.
Definition: StdExpansion.h:259
void Nektar::LocalRegions::Expansion3D::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 
)
protectedvirtual

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).

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 1067 of file Expansion3D.cpp.

References Nektar::StdRegions::eInvMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::eWrapper, Vmath::Neg(), and Nektar::Transpose().

1073  {
1074  int ncoeffs = GetNcoeffs();
1075  StdRegions::MatrixType DerivType[3] = {StdRegions::eWeakDeriv0,
1076  StdRegions::eWeakDeriv1,
1077  StdRegions::eWeakDeriv2};
1078 
1079  DNekScalMat &InvMass = *GetLocMatrix(StdRegions::eInvMass);
1080  DNekScalMat &Dmat = *GetLocMatrix(DerivType[dir]);
1081 
1082  Array<OneD, NekDouble> coeffs = incoeffs;
1083  DNekVec Coeffs (ncoeffs,coeffs, eWrapper);
1084 
1085  Coeffs = Transpose(Dmat)*Coeffs;
1086  Vmath::Neg(ncoeffs, coeffs,1);
1087 
1088  // Add the boundary integral including the relevant part of
1089  // the normal
1090  AddNormTraceInt(dir, FaceExp, faceCoeffs, coeffs);
1091 
1092  DNekVec Out_d (ncoeffs,out_d,eWrapper);
1093 
1094  Out_d = InvMass*Coeffs;
1095  }
Nektar::Transpose
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Definition: BlockMatrix.hpp:219
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
Nektar::LocalRegions::Expansion3D::AddNormTraceInt
void AddNormTraceInt(const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray)
Definition: Expansion3D.cpp:233
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
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::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
DNekMatSharedPtr Nektar::LocalRegions::Expansion3D::v_GenMatrix ( const StdRegions::StdMatrixKey &  mkey)
protectedvirtual

Computes matrices needed for the HDG formulation. References to equations relate to the following paper (with a suitable changes in formulation to adapt to 3D): R. M. Kirby, S. J. Sherwin, B. Cockburn, To CG or to HDG: A Comparative Study, J. Sci. Comp P1-30 DOI 10.1007/s10915-011-9501-7 NOTE: VARIABLE COEFFICIENTS CASE IS NOT IMPLEMENTED

Reimplemented from Nektar::StdRegions::StdExpansion.

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

Definition at line 383 of file Expansion3D.cpp.

References ASSERTL0, ASSERTL1, Nektar::StdRegions::eFaceToElement, Nektar::StdRegions::eFactorLambda, Nektar::StdRegions::eFactorTau, Nektar::StdRegions::eHybridDGHelmBndLam, Nektar::StdRegions::eHybridDGHelmholtz, Nektar::StdRegions::eHybridDGLamToQ0, Nektar::StdRegions::eHybridDGLamToQ1, Nektar::StdRegions::eHybridDGLamToQ2, Nektar::StdRegions::eHybridDGLamToU, Nektar::StdRegions::eInvHybridDGHelmholtz, Nektar::StdRegions::eInvLaplacianWithUnityMean, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eLaplacian, Nektar::StdRegions::eMass, Nektar::StdRegions::eVarCoeffD00, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::eWrapper, Vmath::Fill(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetConstFactors(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdMatrixKey::GetVarCoeffs(), Nektar::StdRegions::StdMatrixKey::HasVarCoeff(), Vmath::Neg(), sign, Vmath::Svtvp(), Nektar::Transpose(), Vmath::Vcopy(), Vmath::Vmul(), Vmath::Vvtvp(), and Vmath::Zero().

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

384  {
385  //Variable coefficients are not implemented/////////
386  ASSERTL1(!mkey.HasVarCoeff(StdRegions::eVarCoeffD00),
387  "Matrix construction is not implemented for variable "
388  "coefficients at the moment");
389  ////////////////////////////////////////////////////
390 
391  DNekMatSharedPtr returnval;
392 
393  switch(mkey.GetMatrixType())
394  {
395  // (Z^e)^{-1} (Eqn. 33, P22)
396  case StdRegions::eHybridDGHelmholtz:
397  {
398  ASSERTL1(IsBoundaryInteriorExpansion(),
399  "HybridDGHelmholtz matrix not set up "
400  "for non boundary-interior expansions");
401 
402  int i,j,k;
403  NekDouble lambdaval = mkey.GetConstFactor(StdRegions::eFactorLambda);
404  NekDouble tau = mkey.GetConstFactor(StdRegions::eFactorTau);
405  int ncoeffs = GetNcoeffs();
406  int nfaces = GetNfaces();
407 
408  Array<OneD,unsigned int> fmap;
409  Array<OneD,int> sign;
410  ExpansionSharedPtr FaceExp;
411  ExpansionSharedPtr FaceExp2;
412 
413  int order_f, coordim = GetCoordim();
414  DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
415  StdRegions::MatrixType DerivType[3] = {StdRegions::eWeakDeriv0,
416  StdRegions::eWeakDeriv1,
417  StdRegions::eWeakDeriv2};
418 
419  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,ncoeffs);
420  DNekMat &Mat = *returnval;
421  Vmath::Zero(ncoeffs*ncoeffs,Mat.GetPtr(),1);
422 
423  // StdRegions::VarCoeffType Coeffs[3] = {StdRegions::eVarCoeffD00,
424  // StdRegions::eVarCoeffD11,
425  // StdRegions::eVarCoeffD22};
426 
427  for(i=0; i < coordim; ++i)
428  {
429  DNekScalMat &Dmat = *GetLocMatrix(DerivType[i]);
430  Mat = Mat + Dmat*invMass*Transpose(Dmat);
431 
432  /*
433  if(mkey.HasVarCoeff(Coeffs[i]))
434  {
435  MatrixKey DmatkeyL(DerivType[i], DetExpansionType(), *this,
436  StdRegions::NullConstFactorMap,
437  mkey.GetVarCoeffAsMap(Coeffs[i]));
438  MatrixKey DmatkeyR(DerivType[i], DetExpansionType(), *this);
439 
440  DNekScalMat &DmatL = *GetLocMatrix(DmatkeyL);
441  DNekScalMat &DmatR = *GetLocMatrix(DmatkeyR);
442  Mat = Mat + DmatL*invMass*Transpose(DmatR);
443  }
444  else
445  {
446  DNekScalMat &Dmat = *GetLocMatrix(DerivType[i]);
447  Mat = Mat + Dmat*invMass*Transpose(Dmat);
448  }
449  */
450  }
451 
452  // Add Mass Matrix Contribution for Helmholtz problem
453  DNekScalMat &Mass = *GetLocMatrix(StdRegions::eMass);
454  Mat = Mat + lambdaval*Mass;
455 
456  // Add tau*E_l using elemental mass matrices on each edge
457  for(i = 0; i < nfaces; ++i)
458  {
459  FaceExp = GetFaceExp(i);
460  order_f = FaceExp->GetNcoeffs();
461  StdRegions::IndexMapKey ikey(
462  StdRegions::eFaceToElement, DetShapeType(),
463  GetBasisNumModes(0), GetBasisNumModes(1),
464  GetBasisNumModes(2), i, GetForient(i));
465  StdRegions::IndexMapValuesSharedPtr map =
466  StdExpansion::GetIndexMap(ikey);
467 
468  // @TODO: Document
469  /*
470  StdRegions::VarCoeffMap edgeVarCoeffs;
471  if (mkey.HasVarCoeff(StdRegions::eVarCoeffD00))
472  {
473  Array<OneD, NekDouble> mu(nq);
474  GetPhysEdgeVarCoeffsFromElement(
475  i, EdgeExp2,
476  mkey.GetVarCoeff(StdRegions::eVarCoeffD00), mu);
477  edgeVarCoeffs[StdRegions::eVarCoeffMass] = mu;
478  }
479  DNekScalMat &eMass = *EdgeExp->GetLocMatrix(
480  StdRegions::eMass,
481  StdRegions::NullConstFactorMap, edgeVarCoeffs);
482  */
483 
484  DNekScalMat &eMass = *FaceExp->GetLocMatrix(StdRegions::eMass);
485 
486  for(j = 0; j < order_f; ++j)
487  {
488  for(k = 0; k < order_f; ++k)
489  {
490  Mat((*map)[j].index,(*map)[k].index) +=
491  tau*(*map)[j].sign*(*map)[k].sign*eMass(j,k);
492  }
493  }
494  }
495  break;
496  }
497 
498  // U^e (P22)
499  case StdRegions::eHybridDGLamToU:
500  {
501  int i,j,k;
502  int nbndry = NumDGBndryCoeffs();
503  int ncoeffs = GetNcoeffs();
504  int nfaces = GetNfaces();
505  NekDouble tau = mkey.GetConstFactor(StdRegions::eFactorTau);
506 
507  Array<OneD,NekDouble> lambda(nbndry);
508  DNekVec Lambda(nbndry,lambda,eWrapper);
509  Array<OneD,NekDouble> ulam(ncoeffs);
510  DNekVec Ulam(ncoeffs,ulam,eWrapper);
511  Array<OneD,NekDouble> f(ncoeffs);
512  DNekVec F(ncoeffs,f,eWrapper);
513 
514  ExpansionSharedPtr FaceExp;
515  // declare matrix space
516  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,nbndry);
517  DNekMat &Umat = *returnval;
518 
519  // Z^e matrix
520  MatrixKey newkey(StdRegions::eInvHybridDGHelmholtz, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
521  DNekScalMat &invHmat = *GetLocMatrix(newkey);
522 
523  Array<OneD,unsigned int> fmap;
524  Array<OneD,int> sign;
525 
526  //alternative way to add boundary terms contribution
527  int bndry_cnt = 0;
528  for(i = 0; i < nfaces; ++i)
529  {
530  FaceExp = GetFaceExp(i);//temporary, need to rewrite AddHDGHelmholtzFaceTerms
531  int nface = GetFaceNcoeffs(i);
532  Array<OneD, NekDouble> face_lambda(nface);
533 
534  const Array<OneD, const Array<OneD, NekDouble> > normals
535  = GetFaceNormal(i);
536 
537  for(j = 0; j < nface; ++j)
538  {
539  Vmath::Zero(nface,&face_lambda[0],1);
540  Vmath::Zero(ncoeffs,&f[0],1);
541  face_lambda[j] = 1.0;
542 
543  SetFaceToGeomOrientation(i, face_lambda);
544 
545  Array<OneD, NekDouble> tmp(FaceExp->GetTotPoints());
546  FaceExp->BwdTrans(face_lambda, tmp);
547  AddHDGHelmholtzFaceTerms(tau, i, tmp, mkey.GetVarCoeffs(), f);
548 
549  Ulam = invHmat*F; // generate Ulam from lambda
550 
551  // fill column of matrix
552  for(k = 0; k < ncoeffs; ++k)
553  {
554  Umat(k,bndry_cnt) = Ulam[k];
555  }
556 
557  ++bndry_cnt;
558  }
559  }
560 
561  //// Set up face expansions from local geom info
562  //for(i = 0; i < nfaces; ++i)
563  //{
564  // FaceExp[i] = GetFaceExp(i);
565  //}
566  //
567  //// for each degree of freedom of the lambda space
568  //// calculate Umat entry
569  //// Generate Lambda to U_lambda matrix
570  //for(j = 0; j < nbndry; ++j)
571  //{
572  // // standard basis vectors e_j
573  // Vmath::Zero(nbndry,&lambda[0],1);
574  // Vmath::Zero(ncoeffs,&f[0],1);
575  // lambda[j] = 1.0;
576  //
577  // //cout << Lambda;
578  // SetTraceToGeomOrientation(lambda);
579  // //cout << Lambda << endl;
580  //
581  // // Compute F = [I D_1 M^{-1} D_2 M^{-1}] C e_j
582  // AddHDGHelmholtzTraceTerms(tau, lambda, FaceExp, mkey.GetVarCoeffs(), f);
583  //
584  // // Compute U^e_j
585  // Ulam = invHmat*F; // generate Ulam from lambda
586  //
587  // // fill column of matrix
588  // for(k = 0; k < ncoeffs; ++k)
589  // {
590  // Umat(k,j) = Ulam[k];
591  // }
592  //}
593  }
594  break;
595  // Q_0, Q_1, Q_2 matrices (P23)
596  // Each are a product of a row of Eqn 32 with the C matrix.
597  // Rather than explicitly computing all of Eqn 32, we note each
598  // row is almost a multiple of U^e, so use that as our starting
599  // point.
600  case StdRegions::eHybridDGLamToQ0:
601  case StdRegions::eHybridDGLamToQ1:
602  case StdRegions::eHybridDGLamToQ2:
603  {
604  int i,j,k,dir;
605  int nbndry = NumDGBndryCoeffs();
606  //int nquad = GetNumPoints(0);
607  int ncoeffs = GetNcoeffs();
608  int nfaces = GetNfaces();
609 
610  Array<OneD,NekDouble> lambda(nbndry);
611  DNekVec Lambda(nbndry,lambda,eWrapper);
612  Array<OneD, ExpansionSharedPtr> FaceExp(nfaces);
613 
614  Array<OneD,NekDouble> ulam(ncoeffs);
615  DNekVec Ulam(ncoeffs,ulam,eWrapper);
616  Array<OneD,NekDouble> f(ncoeffs);
617  DNekVec F(ncoeffs,f,eWrapper);
618 
619  // declare matrix space
620  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,nbndry);
621  DNekMat &Qmat = *returnval;
622 
623  // Lambda to U matrix
624  MatrixKey lamToUkey(StdRegions::eHybridDGLamToU, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
625  DNekScalMat &lamToU = *GetLocMatrix(lamToUkey);
626 
627  // Inverse mass matrix
628  DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
629 
630  for(i = 0; i < nfaces; ++i)
631  {
632  FaceExp[i] = GetFaceExp(i);
633  }
634 
635  //Weak Derivative matrix
636  DNekScalMatSharedPtr Dmat;
637  switch(mkey.GetMatrixType())
638  {
639  case StdRegions::eHybridDGLamToQ0:
640  dir = 0;
641  Dmat = GetLocMatrix(StdRegions::eWeakDeriv0);
642  break;
643  case StdRegions::eHybridDGLamToQ1:
644  dir = 1;
645  Dmat = GetLocMatrix(StdRegions::eWeakDeriv1);
646  break;
647  case StdRegions::eHybridDGLamToQ2:
648  dir = 2;
649  Dmat = GetLocMatrix(StdRegions::eWeakDeriv2);
650  break;
651  default:
652  ASSERTL0(false,"Direction not known");
653  break;
654  }
655 
656  // for each degree of freedom of the lambda space
657  // calculate Qmat entry
658  // Generate Lambda to Q_lambda matrix
659  for(j = 0; j < nbndry; ++j)
660  {
661  Vmath::Zero(nbndry,&lambda[0],1);
662  lambda[j] = 1.0;
663 
664  // for lambda[j] = 1 this is the solution to ulam
665  for(k = 0; k < ncoeffs; ++k)
666  {
667  Ulam[k] = lamToU(k,j);
668  }
669 
670  // -D^T ulam
671  Vmath::Neg(ncoeffs,&ulam[0],1);
672  F = Transpose(*Dmat)*Ulam;
673 
674  SetTraceToGeomOrientation(lambda);
675 
676  // Add the C terms resulting from the I's on the
677  // diagonals of Eqn 32
678  AddNormTraceInt(dir,lambda,FaceExp,f,mkey.GetVarCoeffs());
679 
680  // finally multiply by inverse mass matrix
681  Ulam = invMass*F;
682 
683  // fill column of matrix (Qmat is in column major format)
684  Vmath::Vcopy(ncoeffs,&ulam[0],1,&(Qmat.GetPtr())[0]+j*ncoeffs,1);
685  }
686  }
687  break;
688  // Matrix K (P23)
689  case StdRegions::eHybridDGHelmBndLam:
690  {
691  int i,j,f,cnt;
692  int order_f, nquad_f;
693  int nbndry = NumDGBndryCoeffs();
694  int nfaces = GetNfaces();
695  NekDouble tau = mkey.GetConstFactor(StdRegions::eFactorTau);
696 
697  Array<OneD,NekDouble> work, varcoeff_work;
698  Array<OneD,const Array<OneD, NekDouble> > normals;
699  Array<OneD, ExpansionSharedPtr> FaceExp(nfaces);
700  Array<OneD, NekDouble> lam(nbndry);
701 
702  Array<OneD,unsigned int> fmap;
703  Array<OneD, int> sign;
704 
705  // declare matrix space
706  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(nbndry, nbndry);
707  DNekMat &BndMat = *returnval;
708 
709  DNekScalMatSharedPtr LamToQ[3];
710 
711  // Matrix to map Lambda to U
712  MatrixKey LamToUkey(StdRegions::eHybridDGLamToU, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
713  DNekScalMat &LamToU = *GetLocMatrix(LamToUkey);
714 
715  // Matrix to map Lambda to Q0
716  MatrixKey LamToQ0key(StdRegions::eHybridDGLamToQ0, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
717  LamToQ[0] = GetLocMatrix(LamToQ0key);
718 
719  // Matrix to map Lambda to Q1
720  MatrixKey LamToQ1key(StdRegions::eHybridDGLamToQ1, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
721  LamToQ[1] = GetLocMatrix(LamToQ1key);
722 
723  // Matrix to map Lambda to Q2
724  MatrixKey LamToQ2key(StdRegions::eHybridDGLamToQ2, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
725  LamToQ[2] = GetLocMatrix(LamToQ2key);
726 
727  // Set up edge segment expansions from local geom info
728  for(i = 0; i < nfaces; ++i)
729  {
730  FaceExp[i] = GetFaceExp(i);
731  }
732 
733  // Set up matrix derived from <mu, Q_lam.n - \tau (U_lam - Lam) >
734  for(i = 0; i < nbndry; ++i)
735  {
736  cnt = 0;
737 
738  Vmath::Zero(nbndry,lam,1);
739  lam[i] = 1.0;
740  SetTraceToGeomOrientation(lam);
741 
742  for(f = 0; f < nfaces; ++f)
743  {
744  order_f = FaceExp[f]->GetNcoeffs();
745  nquad_f = FaceExp[f]->GetNumPoints(0)*FaceExp[f]->GetNumPoints(1);
746  normals = GetFaceNormal(f);
747 
748  work = Array<OneD,NekDouble>(nquad_f);
749  varcoeff_work = Array<OneD, NekDouble>(nquad_f);
750 
751  StdRegions::IndexMapKey ikey(
752  StdRegions::eFaceToElement, DetShapeType(),
753  GetBasisNumModes(0), GetBasisNumModes(1),
754  GetBasisNumModes(2), f, GetForient(f));
755  StdRegions::IndexMapValuesSharedPtr map =
756  StdExpansion::GetIndexMap(ikey);
757 
758  // @TODO Variable coefficients
759  /*
760  StdRegions::VarCoeffType VarCoeff[3] = {StdRegions::eVarCoeffD00,
761  StdRegions::eVarCoeffD11,
762  StdRegions::eVarCoeffD22};
763  const StdRegions::VarCoeffMap &varcoeffs = mkey.GetVarCoeffs();
764  StdRegions::VarCoeffMap::const_iterator x;
765  */
766 
767  // Q0 * n0 (BQ_0 terms)
768  Array<OneD, NekDouble> faceCoeffs(order_f);
769  Array<OneD, NekDouble> facePhys (nquad_f);
770  for(j = 0; j < order_f; ++j)
771  {
772  faceCoeffs[j] = (*map)[j].sign*(*LamToQ[0])((*map)[j].index,i);
773  }
774 
775  FaceExp[f]->BwdTrans(faceCoeffs, facePhys);
776 
777  // @TODO Variable coefficients
778  // Multiply by variable coefficient
779  /*
780  if ((x = varcoeffs.find(VarCoeff[0])) != varcoeffs.end())
781  {
782  GetPhysEdgeVarCoeffsFromElement(e,EdgeExp[e],x->second,varcoeff_work);
783  Vmath::Vmul(nquad_e,varcoeff_work,1,EdgeExp[e]->GetPhys(),1,EdgeExp[e]->UpdatePhys(),1);
784  }
785  */
786 
787  Vmath::Vmul(nquad_f, normals[0], 1, facePhys, 1, work, 1);
788 
789  // Q1 * n1 (BQ_1 terms)
790  for(j = 0; j < order_f; ++j)
791  {
792  faceCoeffs[j] = (*map)[j].sign*(*LamToQ[1])((*map)[j].index,i);
793  }
794 
795  FaceExp[f]->BwdTrans(faceCoeffs, facePhys);
796 
797  // @TODO Variable coefficients
798  // Multiply by variable coefficients
799  /*
800  if ((x = varcoeffs.find(VarCoeff[1])) != varcoeffs.end())
801  {
802  GetPhysEdgeVarCoeffsFromElement(e,EdgeExp[e],x->second,varcoeff_work);
803  Vmath::Vmul(nquad_e,varcoeff_work,1,EdgeExp[e]->GetPhys(),1,EdgeExp[e]->UpdatePhys(),1);
804  }
805  */
806 
807  Vmath::Vvtvp(nquad_f, normals[1], 1, facePhys, 1, work, 1, work, 1);
808 
809  // Q2 * n2 (BQ_2 terms)
810  for(j = 0; j < order_f; ++j)
811  {
812  faceCoeffs[j] = (*map)[j].sign*(*LamToQ[2])((*map)[j].index,i);
813  }
814 
815  FaceExp[f]->BwdTrans(faceCoeffs, facePhys);
816 
817  // @TODO Variable coefficients
818  // Multiply by variable coefficients
819  /*
820  if ((x = varcoeffs.find(VarCoeff[2])) != varcoeffs.end())
821  {
822  GetPhysEdgeVarCoeffsFromElement(e,EdgeExp[e],x->second,varcoeff_work);
823  Vmath::Vmul(nquad_e,varcoeff_work,1,EdgeExp[e]->GetPhys(),1,EdgeExp[e]->UpdatePhys(),1);
824  }
825  */
826 
827  Vmath::Vvtvp(nquad_f, normals[2], 1, facePhys, 1,
828  work, 1, work, 1);
829 
830  if (m_negatedNormals[f])
831  {
832  Vmath::Neg(nquad_f, work, 1);
833  }
834 
835  // - tau (ulam - lam)
836  // Corresponds to the G and BU terms.
837  for(j = 0; j < order_f; ++j)
838  {
839  faceCoeffs[j] = (*map)[j].sign*LamToU((*map)[j].index,i) - lam[cnt+j];
840  }
841 
842  FaceExp[f]->BwdTrans(faceCoeffs, facePhys);
843 
844  // @TODO Variable coefficients
845  // Multiply by variable coefficients
846  /*
847  if ((x = varcoeffs.find(VarCoeff[0])) != varcoeffs.end())
848  {
849  GetPhysEdgeVarCoeffsFromElement(e,FaceExp[f],x->second,varcoeff_work);
850  Vmath::Vmul(nquad_f,varcoeff_work,1,FaceExp[f]->GetPhys(),1,FaceExp[f]->UpdatePhys(),1);
851  }
852  */
853 
854  Vmath::Svtvp(nquad_f, -tau, facePhys, 1,
855  work, 1, work, 1);
856 
857  // @TODO Add variable coefficients
858  FaceExp[f]->IProductWRTBase(work, faceCoeffs);
859 
860  SetFaceToGeomOrientation(f, faceCoeffs);
861 
862  for(j = 0; j < order_f; ++j)
863  {
864  BndMat(cnt+j,i) = faceCoeffs[j];
865  }
866 
867  cnt += order_f;
868  }
869  }
870  }
871  break;
872  //HDG postprocessing
873  case StdRegions::eInvLaplacianWithUnityMean:
874  {
875  MatrixKey lapkey(StdRegions::eLaplacian, DetShapeType(), *this, mkey.GetConstFactors(), mkey.GetVarCoeffs());
876  DNekScalMat &LapMat = *GetLocMatrix(lapkey);
877 
878  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(LapMat.GetRows(),LapMat.GetColumns());
879  DNekMatSharedPtr lmat = returnval;
880 
881  (*lmat) = LapMat;
882 
883  // replace first column with inner product wrt 1
884  int nq = GetTotPoints();
885  Array<OneD, NekDouble> tmp(nq);
886  Array<OneD, NekDouble> outarray(m_ncoeffs);
887  Vmath::Fill(nq,1.0,tmp,1);
888  IProductWRTBase(tmp, outarray);
889 
890  Vmath::Vcopy(m_ncoeffs,&outarray[0],1,
891  &(lmat->GetPtr())[0],1);
892 
893  //cout << endl << *lmat << endl;
894  lmat->Invert();
895  }
896  break;
897  default:
898  ASSERTL0(false,"This matrix type cannot be generated from this class");
899  break;
900  }
901 
902  return returnval;
903  }
Nektar::StdRegions::StdExpansion::DetShapeType
LibUtilities::ShapeType DetShapeType() const
This function returns the shape of the expansion domain.
Definition: StdExpansion.h:470
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:198
Nektar::StdRegions::IndexMapValuesSharedPtr
boost::shared_ptr< IndexMapValues > IndexMapValuesSharedPtr
Definition: IndexMapKey.h:126
Nektar::StdRegions::StdExpansion::GetNfaces
int GetNfaces() const
This function returns the number of faces of the expansion domain.
Definition: StdExpansion.h:438
Nektar::MemoryManager::AllocateSharedPtr
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:235
Nektar::StdRegions::StdExpansion::GetBasisNumModes
int GetBasisNumModes(const int dir) const
This function returns the number of expansion modes in the dir direction.
Definition: StdExpansion.h:178
sign
#define sign(a, b)
return the sign(b)*a
Definition: Polylib.cpp:27
Nektar::LocalRegions::Expansion3D::SetFaceToGeomOrientation
void SetFaceToGeomOrientation(const int face, Array< OneD, NekDouble > &inout)
Align face orientation with the geometry orientation.
Definition: Expansion3D.cpp:313
Nektar::StdRegions::StdExpansion::IProductWRTBase
void IProductWRTBase(const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
this function calculates the inner product of a given function f with the different modes of the expa...
Definition: StdExpansion.h:635
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::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
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::GetFaceNormal
const NormalVector & GetFaceNormal(const int face) const
Definition: StdExpansion.h:1308
Nektar::LocalRegions::Expansion3D::SetTraceToGeomOrientation
void SetTraceToGeomOrientation(Array< OneD, NekDouble > &inout)
Align trace orientation with the geometry orientation.
Definition: Expansion3D.cpp:360
Nektar::StdRegions::StdExpansion3D::m_negatedNormals
std::map< int, bool > m_negatedNormals
Definition: StdExpansion3D.h:205
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::Transpose
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Definition: BlockMatrix.hpp:219
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:396
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:44
Nektar::LocalRegions::ExpansionSharedPtr
boost::shared_ptr< Expansion > ExpansionSharedPtr
Definition: Expansion.h:68
Nektar::LocalRegions::Expansion3D::AddNormTraceInt
void AddNormTraceInt(const int dir, Array< OneD, ExpansionSharedPtr > &FaceExp, Array< OneD, Array< OneD, NekDouble > > &faceCoeffs, Array< OneD, NekDouble > &outarray)
Definition: Expansion3D.cpp:233
Nektar::LocalRegions::Expansion3D::AddHDGHelmholtzFaceTerms
void AddHDGHelmholtzFaceTerms(const NekDouble tau, const int edge, Array< OneD, NekDouble > &facePhys, const StdRegions::VarCoeffMap &dirForcing, Array< OneD, NekDouble > &outarray)
Definition: Expansion3D.cpp:51
Nektar::StdRegions::StdExpansion::GetFaceNcoeffs
int GetFaceNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th face.
Definition: StdExpansion.h:354
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:85
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::LocalRegions::Expansion3D::GetFaceExp
Expansion2DSharedPtr GetFaceExp(const int face)
Definition: Expansion3D.cpp:916
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
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1061
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:72
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
Array< OneD, unsigned int > Nektar::LocalRegions::Expansion3D::v_GetEdgeInverseBoundaryMap ( int  eid)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1844 of file Expansion3D.cpp.

1846  {
1847  int n, j;
1848  int nEdgeCoeffs;
1849  int nBndCoeffs = NumBndryCoeffs();
1850 
1851  Array<OneD, unsigned int> bmap(nBndCoeffs);
1852  GetBoundaryMap(bmap);
1853 
1854  // Map from full system to statically condensed system (i.e reverse
1855  // GetBoundaryMap)
1856  map<int, int> invmap;
1857  for (j = 0; j < nBndCoeffs; ++j)
1858  {
1859  invmap[bmap[j]] = j;
1860  }
1861 
1862  // Number of interior edge coefficients
1863  nEdgeCoeffs = GetEdgeNcoeffs(eid) - 2;
1864 
1865  const SpatialDomains::Geometry3DSharedPtr &geom = GetGeom3D();
1866 
1867  Array<OneD, unsigned int> edgemaparray(nEdgeCoeffs);
1868  StdRegions::Orientation eOrient =
1869  geom->GetEorient(eid);
1870  Array<OneD, unsigned int> maparray =
1871  Array<OneD, unsigned int>(nEdgeCoeffs);
1872  Array<OneD, int> signarray =
1873  Array<OneD, int>(nEdgeCoeffs, 1);
1874 
1875  // maparray is the location of the edge within the matrix
1876  GetEdgeInteriorMap(eid, eOrient, maparray, signarray);
1877 
1878  for (n = 0; n < nEdgeCoeffs; ++n)
1879  {
1880  edgemaparray[n] = invmap[maparray[n]];
1881  }
1882 
1883  return edgemaparray;
1884  }
Nektar::StdRegions::StdExpansion::GetEdgeInteriorMap
void GetEdgeInteriorMap(const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
Definition: StdExpansion.h:830
Nektar::LocalRegions::Expansion3D::GetGeom3D
SpatialDomains::Geometry3DSharedPtr GetGeom3D() const
Definition: Expansion3D.h:180
Nektar::StdRegions::StdExpansion::GetEdgeNcoeffs
int GetEdgeNcoeffs(const int i) const
This function returns the number of expansion coefficients belonging to the i-th edge.
Definition: StdExpansion.h:287
Nektar::StdRegions::StdExpansion::GetBoundaryMap
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:814
Nektar::SpatialDomains::Geometry3DSharedPtr
boost::shared_ptr< Geometry3D > Geometry3DSharedPtr
Definition: Geometry3D.h:52
Array< OneD, unsigned int > Nektar::LocalRegions::Expansion3D::v_GetFaceInverseBoundaryMap ( int  fid,
StdRegions::Orientation  faceOrient = StdRegions::eNoOrientation 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1887 of file Expansion3D.cpp.

References Nektar::StdRegions::eNoOrientation.

1890  {
1891  int n, j;
1892  int nFaceCoeffs;
1893 
1894  int nBndCoeffs = NumBndryCoeffs();
1895 
1896  Array<OneD, unsigned int> bmap(nBndCoeffs);
1897  GetBoundaryMap(bmap);
1898 
1899  // Map from full system to statically condensed system (i.e reverse
1900  // GetBoundaryMap)
1901  map<int, int> reversemap;
1902  for (j = 0; j < bmap.num_elements(); ++j)
1903  {
1904  reversemap[bmap[j]] = j;
1905  }
1906 
1907  // Number of interior face coefficients
1908  nFaceCoeffs = GetFaceIntNcoeffs(fid);
1909 
1910  Array<OneD, unsigned int> facemaparray(nFaceCoeffs);
1911  StdRegions::Orientation fOrient;
1912  Array<OneD, unsigned int> maparray =
1913  Array<OneD, unsigned int>(nFaceCoeffs);
1914  Array<OneD, int> signarray =
1915  Array<OneD, int>(nFaceCoeffs, 1);
1916 
1917  if(faceOrient == StdRegions::eNoOrientation)
1918  {
1919  fOrient = GetForient(fid);
1920  }
1921  else
1922  {
1923  fOrient = faceOrient;
1924  }
1925 
1926  // maparray is the location of the face within the matrix
1927  GetFaceInteriorMap(fid, fOrient, maparray, signarray);
1928 
1929  for (n = 0; n < nFaceCoeffs; ++n)
1930  {
1931  facemaparray[n] = reversemap[maparray[n]];
1932  }
1933 
1934  return facemaparray;
1935  }
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::StdRegions::StdExpansion::GetFaceIntNcoeffs
int GetFaceIntNcoeffs(const int i) const
Definition: StdExpansion.h:359
Nektar::StdRegions::StdExpansion::GetBoundaryMap
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:814
Nektar::StdRegions::StdExpansion::GetFaceInteriorMap
void GetFaceInteriorMap(const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
Definition: StdExpansion.h:844
void Nektar::LocalRegions::Expansion3D::v_GetFacePhysVals ( const int  face,
const StdRegions::StdExpansionSharedPtr &  FaceExp,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
StdRegions::Orientation  orient 
)
protectedvirtual

Definition at line 1956 of file Expansion3D.cpp.

References Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, Nektar::StdRegions::eNoOrientation, Vmath::Gathr(), Nektar::LibUtilities::Interp2D(), and Vmath::Scatr().

1962  {
1963 
1964  if (orient == StdRegions::eNoOrientation)
1965  {
1966  orient = GetForient(face);
1967  }
1968 
1969  int nq0 = FaceExp->GetNumPoints(0);
1970  int nq1 = FaceExp->GetNumPoints(1);
1971 
1972  int nfacepts = GetFaceNumPoints(face);
1973  int dir0 = GetGeom3D()->GetDir(face,0);
1974  int dir1 = GetGeom3D()->GetDir(face,1);
1975 
1976  Array<OneD,NekDouble> o_tmp (nfacepts);
1977  Array<OneD,NekDouble> o_tmp2(FaceExp->GetTotPoints());
1978  Array<OneD, int> faceids;
1979 
1980  // Get local face pts and put into o_tmp
1981  GetFacePhysMap(face,faceids);
1982  Vmath::Gathr(faceids.num_elements(),inarray,faceids,o_tmp);
1983 
1984 
1985  int to_id0,to_id1;
1986 
1987  if(orient < StdRegions::eDir1FwdDir2_Dir2FwdDir1)
1988  {
1989  to_id0 = 0;
1990  to_id1 = 1;
1991  }
1992  else // transpose points key evaluation
1993  {
1994  to_id0 = 1;
1995  to_id1 = 0;
1996  }
1997 
1998  // interpolate to points distrbution given in FaceExp
1999  LibUtilities::Interp2D(m_base[dir0]->GetPointsKey(),
2000  m_base[dir1]->GetPointsKey(),
2001  o_tmp.get(),
2002  FaceExp->GetBasis(to_id0)->GetPointsKey(),
2003  FaceExp->GetBasis(to_id1)->GetPointsKey(),
2004  o_tmp2.get());
2005 
2006  // Reshuffule points as required and put into outarray.
2007  ReOrientFacePhysMap(FaceExp->GetNverts(),orient,nq0,nq1,faceids);
2008  Vmath::Scatr(nq0*nq1,o_tmp2,faceids,outarray);
2009  }
Nektar::StdRegions::StdExpansion::GetFaceNumPoints
int GetFaceNumPoints(const int i) const
This function returns the number of quadrature points belonging to the i-th face. ...
Definition: StdExpansion.h:339
Vmath::Gathr
void Gathr(int n, const T *x, const int *y, T *z)
Gather vector z[i] = x[y[i]].
Definition: Vmath.cpp:644
Nektar::StdRegions::StdExpansion::GetFacePhysMap
void GetFacePhysMap(const int face, Array< OneD, int > &outarray)
Definition: StdExpansion.h:940
Nektar::LocalRegions::Expansion3D::GetGeom3D
SpatialDomains::Geometry3DSharedPtr GetGeom3D() const
Definition: Expansion3D.h:180
Nektar::StdRegions::StdExpansion::GetForient
StdRegions::Orientation GetForient(int face)
Definition: StdExpansion.h:763
Nektar::LocalRegions::Expansion3D::ReOrientFacePhysMap
void ReOrientFacePhysMap(const int nvert, const StdRegions::Orientation orient, const int nq0, const int nq1, Array< OneD, int > &idmap)
Definition: Expansion3D.cpp:2011
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
Vmath::Scatr
void Scatr(int n, const T *x, const int *y, T *z)
Scatter vector z[y[i]] = x[i].
Definition: Vmath.cpp:673
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1418
StdRegions::Orientation Nektar::LocalRegions::Expansion3D::v_GetForient ( int  face)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 1937 of file Expansion3D.cpp.

1938  {
1939  return m_geom->GetForient(face);
1940  }
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:130
void Nektar::LocalRegions::Expansion3D::v_GetTracePhysVals ( const int  face,
const StdRegions::StdExpansionSharedPtr &  FaceExp,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray,
StdRegions::Orientation  orient 
)
protectedvirtual

Returns the physical values at the quadrature points of a face Wrapper function to v_GetFacePhysVals.

Definition at line 1946 of file Expansion3D.cpp.

1952  {
1953  v_GetFacePhysVals(face,FaceExp,inarray,outarray,orient);
1954  }
Nektar::LocalRegions::Expansion3D::v_GetFacePhysVals
virtual void v_GetFacePhysVals(const int face, const StdRegions::StdExpansionSharedPtr &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
Definition: Expansion3D.cpp:1956
void Nektar::LocalRegions::Expansion3D::v_NormVectorIProductWRTBase ( const Array< OneD, const Array< OneD, NekDouble > > &  Fvec,
Array< OneD, NekDouble > &  outarray 
)
virtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 2169 of file Expansion3D.cpp.

2172  {
2173  NormVectorIProductWRTBase(Fvec[0], Fvec[1], Fvec[2], outarray);
2174  }
Nektar::StdRegions::StdExpansion::NormVectorIProductWRTBase
void NormVectorIProductWRTBase(const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
Definition: StdExpansion.h:733

Member Data Documentation

std::vector<Expansion2DWeakPtr> Nektar::LocalRegions::Expansion3D::m_faceExp
private

Definition at line 176 of file Expansion3D.h.

std::vector<bool> Nektar::LocalRegions::Expansion3D::m_requireNeg
private

Definition at line 177 of file Expansion3D.h.

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