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Nektar::LocalRegions::Expansion1D Class Reference

#include <Expansion1D.h>

Inheritance diagram for Nektar::LocalRegions::Expansion1D:
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Collaboration diagram for Nektar::LocalRegions::Expansion1D:
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Public Member Functions

 Expansion1D (SpatialDomains::Geometry1DSharedPtr pGeom)
 
virtual ~Expansion1D ()
 
void AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
Expansion2DSharedPtr GetLeftAdjacentElementExp () const
 
Expansion2DSharedPtr GetRightAdjacentElementExp () const
 
int GetLeftAdjacentElementEdge () const
 
int GetRightAdjacentElementEdge () const
 
void SetAdjacentElementExp (int edge, Expansion2DSharedPtr &e)
 
void AddHDGHelmholtzTraceTerms (const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
SpatialDomains::Geometry1DSharedPtr GetGeom1D () const
 
- 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 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< StdExpansionGetStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion ()
 
bool IsNodalNonTensorialExp ()
 
void BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Backward transformation from coefficient space to physical space. More...
 
void FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 This function performs the Forward transformation from physical space to coefficient space. More...
 
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
NekDouble Integral (const Array< OneD, const NekDouble > &inarray)
 This function integrates the specified function over the domain. More...
 
void FillMode (const int mode, Array< OneD, NekDouble > &outarray)
 This function fills the array outarray with the mode-th mode of the expansion. More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 this function calculates the inner product of a given function f with the different modes of the expansion More...
 
void IProductWRTBase (const Array< OneD, const NekDouble > &base, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, int coll_check)
 
void IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void SetElmtId (const int id)
 Set the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
void GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2=NullNekDouble1DArray, Array< OneD, NekDouble > &coords_3=NullNekDouble1DArray)
 this function returns the physical coordinates of the quadrature points of the expansion More...
 
void GetCoord (const Array< OneD, const NekDouble > &Lcoord, Array< OneD, NekDouble > &coord)
 given the coordinates of a point of the element in the local collapsed coordinate system, this function calculates the physical coordinates of the point More...
 
DNekMatSharedPtr GetStdMatrix (const StdMatrixKey &mkey)
 
DNekBlkMatSharedPtr GetStdStaticCondMatrix (const StdMatrixKey &mkey)
 
IndexMapValuesSharedPtr GetIndexMap (const IndexMapKey &ikey)
 
const Array< OneD, const
NekDouble > & 
GetPhysNormals (void)
 
void SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void SetUpPhysNormals (const int edge)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
void NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
DNekScalBlkMatSharedPtr GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
StdRegions::Orientation GetForient (int face)
 
StdRegions::Orientation GetEorient (int edge)
 
StdRegions::Orientation GetPorient (int point)
 
StdRegions::Orientation GetCartesianEorient (int edge)
 
void SetCoeffsToOrientation (Array< OneD, NekDouble > &coeffs, StdRegions::Orientation dir)
 
void SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
int CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
void ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmodes_offset, NekDouble *coeffs)
 
NekDouble StdPhysEvaluate (const Array< OneD, const NekDouble > &Lcoord, const Array< OneD, const NekDouble > &physvals)
 
int GetCoordim ()
 
void GetBoundaryMap (Array< OneD, unsigned int > &outarray)
 
void GetInteriorMap (Array< OneD, unsigned int > &outarray)
 
int GetVertexMap (const int localVertexId, bool useCoeffPacking=false)
 
void GetEdgeInteriorMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetFaceInteriorMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray)
 
void GetEdgeToElementMap (const int eid, const Orientation edgeOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int P=-1)
 
void GetFaceToElementMap (const int fid, const Orientation faceOrient, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, int nummodesA=-1, int nummodesB=-1)
 
void GetEdgePhysVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Extract the physical values along edge edge from inarray into outarray following the local edge orientation and point distribution defined by defined in EdgeExp. More...
 
void GetEdgePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetTracePhysVals (const int edge, const boost::shared_ptr< StdExpansion > &EdgeExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetVertexPhysVals (const int vertex, const Array< OneD, const NekDouble > &inarray, NekDouble &outarray)
 
void GetEdgeInterpVals (const int edge, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void GetEdgeQFactors (const int edge, Array< OneD, NekDouble > &outarray)
 Extract the metric factors to compute the contravariant fluxes along edge edge and stores them into outarray following the local edge orientation (i.e. anticlockwise convention). More...
 
void GetFacePhysVals (const int face, const boost::shared_ptr< StdExpansion > &FaceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=eNoOrientation)
 
void GetEdgePhysMap (const int edge, Array< OneD, int > &outarray)
 
void GetFacePhysMap (const int face, Array< OneD, int > &outarray)
 
void MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
DNekMatSharedPtr CreateGeneralMatrix (const StdMatrixKey &mkey)
 this function generates the mass matrix $\mathbf{M}[i][j] = \int \phi_i(\mathbf{x}) \phi_j(\mathbf{x}) d\mathbf{x}$ More...
 
void GeneralMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey)
 
void LaplacianMatrixOp (const int k1, const int k2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDerivMatrixOp (const int i, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void WeakDirectionalDerivMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void MassLevelCurvatureMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
void LinearAdvectionDiffusionReactionMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey, bool addDiffusionTerm=true)
 
void HelmholtzMatrixOp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdMatrixKey &mkey)
 
DNekMatSharedPtr GenMatrix (const StdMatrixKey &mkey)
 
void PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void PhysDeriv_s (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_ds)
 
void PhysDeriv_n (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_dn)
 
void PhysDirectionalDeriv (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &direction, Array< OneD, NekDouble > &outarray)
 
void StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1=NullNekDouble1DArray, Array< OneD, NekDouble > &out_d2=NullNekDouble1DArray)
 
void StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void AddRobinMassMatrix (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
void AddRobinEdgeContribution (const int edgeid, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
 
NekDouble PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals)
 This function evaluates the expansion at a single (arbitrary) point of the domain. More...
 
void LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta)
 Convert local cartesian coordinate xi into local collapsed coordinates eta. More...
 
const boost::shared_ptr
< SpatialDomains::GeomFactors > & 
GetMetricInfo (void) const
 
virtual int v_GetElmtId ()
 Get the element id of this expansion when used in a list by returning value of m_elmt_id. More...
 
virtual const Array< OneD,
const NekDouble > & 
v_GetPhysNormals (void)
 
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual int v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset)
 
virtual void v_ExtractDataToCoeffs (const NekDouble *data, const std::vector< unsigned int > &nummodes, const int nmode_offset, NekDouble *coeffs)
 Unpack data from input file assuming it comes from the same expansion type. More...
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, const Array< OneD, const NekDouble > &Fz, Array< OneD, NekDouble > &outarray)
 
virtual void v_NormVectorIProductWRTBase (const Array< OneD, const Array< OneD, NekDouble > > &Fvec, Array< OneD, NekDouble > &outarray)
 
virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocStaticCondMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual StdRegions::Orientation v_GetForient (int face)
 
virtual StdRegions::Orientation v_GetEorient (int edge)
 
virtual StdRegions::Orientation v_GetCartesianEorient (int edge)
 
virtual StdRegions::Orientation v_GetPorient (int point)
 
NekDouble Linf (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_\infty$ error $ |\epsilon|_\infty = \max |u - u_{exact}|$ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ L_2$ error, $ | \epsilon |_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
NekDouble H1 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &sol=NullNekDouble1DArray)
 Function to evaluate the discrete $ H^1$ error, $ | \epsilon |^1_{2} = \left [ \int^1_{-1} [u - u_{exact}]^2 + \nabla(u - u_{exact})\cdot\nabla(u - u_{exact})\cdot dx \right]^{1/2} d\xi_1 $ where $ u_{exact}$ is given by the array sol. More...
 
const NormalVectorGetEdgeNormal (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 NormalVectorGetFaceNormal (const int face) const
 
const NormalVectorGetVertexNormal (const int vertex) const
 
const NormalVectorGetSurfaceNormal (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::StdExpansion1D
 StdExpansion1D ()
 
 StdExpansion1D (int numcoeffs, const LibUtilities::BasisKey &Ba)
 
 StdExpansion1D (const StdExpansion1D &T)
 
virtual ~StdExpansion1D ()
 
void PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Evaluate the derivative $ d/d{\xi_1} $ at the physical quadrature points given by inarray and return in outarray. More...
 

Protected Member Functions

virtual DNekMatSharedPtr v_GenMatrix (const StdRegions::StdMatrixKey &mkey)
 
virtual void v_AddRobinMassMatrix (const int vert, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
virtual void v_AddRobinEdgeContribution (const int vert, const Array< OneD, const NekDouble > &primCoeffs, Array< OneD, NekDouble > &coeffs)
 
- 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 DNekMatSharedPtr v_BuildTransformationMatrix (const DNekScalMatSharedPtr &r_bnd, const StdRegions::MatrixType matrixType)
 
virtual DNekMatSharedPtr v_BuildVertexMatrix (const DNekScalMatSharedPtr &r_bnd)
 
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)
 
virtual void v_DGDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, ExpansionSharedPtr > &EdgeExp, Array< OneD, Array< OneD, NekDouble > > &coeffs, Array< OneD, NekDouble > &outarray)
 
- Protected Member Functions 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::StdExpansion1D
virtual NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals)
 

Private Attributes

Expansion2DWeakPtr m_elementLeft
 
Expansion2DWeakPtr m_elementRight
 
int m_elementEdgeLeft
 
int m_elementEdgeRight
 

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::StdExpansion1D
std::map< int, NormalVectorm_vertexNormals
 

Detailed Description

Definition at line 61 of file Expansion1D.h.

Constructor & Destructor Documentation

Nektar::LocalRegions::Expansion1D::Expansion1D ( SpatialDomains::Geometry1DSharedPtr  pGeom)
inline

Definition at line 65 of file Expansion1D.h.

References m_elementEdgeLeft, and m_elementEdgeRight.

67  : Expansion(pGeom),
69  {
70  m_elementEdgeLeft = -1;
71  m_elementEdgeRight = -1;
72  }
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:46
virtual Nektar::LocalRegions::Expansion1D::~Expansion1D ( )
inlinevirtual

Definition at line 74 of file Expansion1D.h.

74 {}

Member Function Documentation

void Nektar::LocalRegions::Expansion1D::AddHDGHelmholtzTraceTerms ( const NekDouble  tau,
const Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 282 of file Expansion1D.cpp.

References ASSERTL0, Nektar::StdRegions::eInvMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetBasis(), Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

Referenced by v_GenMatrix().

284  {
285  int i,n;
286  int nbndry = NumBndryCoeffs();
287  int nquad = GetNumPoints(0);
288  int ncoeffs = GetNcoeffs();
289  int coordim = GetCoordim();
290  Array<OneD, unsigned int> vmap;
291 
292  ASSERTL0(&inarray[0] != &outarray[0],"Input and output arrays use the same memory");
293 
294 
295  const Array<OneD, const NekDouble> &Basis = GetBasis(0)->GetBdata();
297 
298  GetBoundaryMap(vmap);
299 
300  // Add F = \tau <phi_i,phi_j> (note phi_i is zero if phi_j is non-zero)
301  for(i = 0; i < nbndry; ++i)
302  {
303  outarray[vmap[i]] += tau*Basis[(vmap[i]+1)*nquad-1]*Basis[(vmap[i]+1)*nquad-1]*inarray[vmap[i]];
304  outarray[vmap[i]] += tau*Basis[vmap[i]*nquad]*Basis[vmap[i]*nquad]*inarray[vmap[i]];
305  }
306 
307 
308  //===============================================================
309  // Add -\sum_i D_i^T M^{-1} G_i + E_i M^{-1} G_i =
310  // \sum_i D_i M^{-1} G_i term
311 
315  Array<OneD, NekDouble> tmpcoeff(ncoeffs,0.0);
316  DNekVec Coeffs (ncoeffs,outarray,eWrapper);
317  DNekVec Tmpcoeff(ncoeffs,tmpcoeff,eWrapper);
318 
319  for(n = 0; n < coordim; ++n)
320  {
321  // evaluate M^{-1} G
322  for(i = 0; i < ncoeffs; ++i)
323  {
324  // lower boundary (negative normal)
325  tmpcoeff[i] -= invMass(i,vmap[0])*Basis[vmap[0]*nquad]*Basis[vmap[0]*nquad]*inarray[vmap[0]];
326 
327  // upper boundary (positive normal)
328  tmpcoeff[i] += invMass(i,vmap[1])*Basis[(vmap[1]+1)*nquad-1]*Basis[(vmap[1]+1)*nquad-1]*inarray[vmap[1]];
329 
330  }
331 
332  DNekScalMat &Dmat = *GetLocMatrix(DerivType[n]);
333  Coeffs = Coeffs + Dmat*Tmpcoeff;
334  }
335  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
const LibUtilities::BasisSharedPtr & GetBasis(int dir) const
This function gets the shared point to basis in the dir direction.
Definition: StdExpansion.h:118
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:83
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:49
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:816
void Nektar::LocalRegions::Expansion1D::AddNormTraceInt ( const int  dir,
Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 261 of file Expansion1D.cpp.

References Nektar::StdRegions::StdExpansion::GetBasis(), Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

Referenced by v_GenMatrix().

264  {
265 
266  int k;
267  int nbndry = NumBndryCoeffs();
268  int nquad = GetNumPoints(0);
269  const Array<OneD, const NekDouble> &Basis = GetBasis(0)->GetBdata();
270  Array<OneD, unsigned int> vmap;
271 
272  GetBoundaryMap(vmap);
273 
274  // add G \lambda term (can assume G is diagonal since one
275  // of the basis is zero at boundary otherwise)
276  for(k = 0; k < nbndry; ++k)
277  {
278  outarray[vmap[k]] += (Basis[(vmap[k]+1)*nquad-1]*Basis[(vmap[k]+1)*nquad-1] - Basis[vmap[k]*nquad]*Basis[vmap[k]*nquad])*inarray[vmap[k]];
279  }
280  }
const LibUtilities::BasisSharedPtr & GetBasis(int dir) const
This function gets the shared point to basis in the dir direction.
Definition: StdExpansion.h:118
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:229
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:816
SpatialDomains::Geometry1DSharedPtr Nektar::LocalRegions::Expansion1D::GetGeom1D ( ) const
inline

Definition at line 169 of file Expansion1D.h.

Referenced by Nektar::MultiRegions::AssemblyMapDG::SetUpUniversalDGMap().

170  {
171  return boost::dynamic_pointer_cast<SpatialDomains
172  ::Geometry1D>(m_geom);
173  }
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:125
int Nektar::LocalRegions::Expansion1D::GetLeftAdjacentElementEdge ( ) const
inline

Definition at line 139 of file Expansion1D.h.

References m_elementEdgeLeft.

Referenced by Extractlayerdata(), and Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase().

140  {
141  return m_elementEdgeLeft;
142  }
Expansion2DSharedPtr Nektar::LocalRegions::Expansion1D::GetLeftAdjacentElementExp ( ) const
inline

Definition at line 123 of file Expansion1D.h.

References ASSERTL1, and m_elementLeft.

Referenced by Nektar::MultiRegions::ExpList1D::v_GetNormals(), and Nektar::LocalRegions::SegExp::v_NormVectorIProductWRTBase().

124  {
125  ASSERTL1(m_elementLeft.lock().get(),
126  "Left adjacent element not set.");
127  return m_elementLeft.lock();
128  }
Expansion2DWeakPtr m_elementLeft
Definition: Expansion1D.h:115
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
int Nektar::LocalRegions::Expansion1D::GetRightAdjacentElementEdge ( ) const
inline

Definition at line 144 of file Expansion1D.h.

References m_elementEdgeRight.

145  {
146  return m_elementEdgeRight;
147  }
Expansion2DSharedPtr Nektar::LocalRegions::Expansion1D::GetRightAdjacentElementExp ( ) const
inline

Definition at line 131 of file Expansion1D.h.

References ASSERTL1, m_elementLeft, and m_elementRight.

132  {
133  ASSERTL1(m_elementLeft.lock().get(),
134  "Right adjacent element not set.");
135 
136  return m_elementRight.lock();
137  }
Expansion2DWeakPtr m_elementRight
Definition: Expansion1D.h:116
Expansion2DWeakPtr m_elementLeft
Definition: Expansion1D.h:115
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void Nektar::LocalRegions::Expansion1D::SetAdjacentElementExp ( int  edge,
Expansion2DSharedPtr e 
)
inline

Definition at line 149 of file Expansion1D.h.

References ASSERTL1, m_elementEdgeLeft, m_elementEdgeRight, m_elementLeft, and m_elementRight.

152  {
153  if (m_elementLeft.lock().get())
154  {
155  ASSERTL1(!m_elementRight.lock().get(),
156  "Both adjacent elements already set.");
157 
158  m_elementRight = e;
159  m_elementEdgeRight = edge;
160  }
161  else
162  {
163  m_elementLeft = e;
164  m_elementEdgeLeft = edge;
165  }
166  }
Expansion2DWeakPtr m_elementRight
Definition: Expansion1D.h:116
Expansion2DWeakPtr m_elementLeft
Definition: Expansion1D.h:115
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void Nektar::LocalRegions::Expansion1D::v_AddRobinEdgeContribution ( const int  vert,
const Array< OneD, const NekDouble > &  primCoeffs,
Array< OneD, NekDouble > &  coeffs 
)
protectedvirtual

Given an edge and vector of element coefficients:

  • maps those elemental coefficients corresponding to the edge into an edge-vector.
  • resets the element coefficients
  • multiplies the edge vector by the edge mass matrix
  • maps the edge coefficients back onto the elemental coefficients

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 390 of file Expansion1D.cpp.

References ASSERTL1, Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetVertexMap(), Nektar::StdRegions::StdExpansion::IsBoundaryInteriorExpansion(), and Vmath::Zero().

391  {
393  "Not set up for non boundary-interior expansions");
394 
395  int map = GetVertexMap(vert);
396  Vmath::Zero(GetNcoeffs(), coeffs, 1);
397  coeffs[map] = primCoeffs[0];
398  }
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:826
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void Nektar::LocalRegions::Expansion1D::v_AddRobinMassMatrix ( const int  vert,
const Array< OneD, const NekDouble > &  primCoeffs,
DNekMatSharedPtr inoutmat 
)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Definition at line 337 of file Expansion1D.cpp.

References ASSERTL0, ASSERTL1, Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetVertexMap(), Nektar::StdRegions::StdExpansion::IsBoundaryInteriorExpansion(), and Nektar::StdRegions::StdExpansion::NumBndryCoeffs().

338  {
339  ASSERTL0(IsBoundaryInteriorExpansion(),"Robin boundary conditions are only implemented for boundary-interior expanisons");
340  ASSERTL1(inoutmat->GetRows() == inoutmat->GetColumns(),
341  "Assuming that input matrix was square");
342 
343  // Get local Element mapping for vertex point
344  int map = GetVertexMap(vert);
345 
346  // Now need to identify a map which takes the local edge
347  // mass matrix to the matrix stored in inoutmat;
348  // This can currently be deduced from the size of the matrix
349  // - if inoutmat.m_rows() == v_NCoeffs() it is a full
350  // matrix system
351  // - if inoutmat.m_rows() == v_NumBndCoeffs() it is a
352  // boundary CG system
353 
354  int rows = inoutmat->GetRows();
355 
356  if (rows == GetNcoeffs())
357  {
358  // no need to do anything
359  }
360  else if(rows == NumBndryCoeffs()) // same as NumDGBndryCoeffs()
361  {
362  int i;
363  Array<OneD,unsigned int> bmap;
364  GetBoundaryMap(bmap);
365 
366  for(i = 0; i < 2; ++i)
367  {
368  if(map == bmap[i])
369  {
370  map = i;
371  break;
372  }
373  }
374  ASSERTL1(i != 2,"Did not find number in map");
375  }
376 
377  // assumes end points have unit magnitude
378  (*inoutmat)(map,map) += primCoeffs[0];
379 
380  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:826
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:816
DNekMatSharedPtr Nektar::LocalRegions::Expansion1D::v_GenMatrix ( const StdRegions::StdMatrixKey mkey)
protectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::SegExp.

Definition at line 43 of file Expansion1D.cpp.

References AddHDGHelmholtzTraceTerms(), AddNormTraceInt(), Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, ASSERTL1, 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::eInvMass, Nektar::StdRegions::eMass, Nektar::StdRegions::eWeakDeriv0, Nektar::StdRegions::eWeakDeriv1, Nektar::StdRegions::eWeakDeriv2, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetBoundaryMap(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetCoordim(), Nektar::LocalRegions::Expansion::GetLocMatrix(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::IsBoundaryInteriorExpansion(), Vmath::Neg(), Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), Nektar::StdRegions::StdExpansion::NumDGBndryCoeffs(), Nektar::Transpose(), Vmath::Vcopy(), and Vmath::Zero().

Referenced by Nektar::LocalRegions::SegExp::v_GenMatrix().

44  {
45  DNekMatSharedPtr returnval;
46 
47  switch(mkey.GetMatrixType())
48  {
50  {
52  "HybridDGHelmholtz matrix not set up "
53  "for non boundary-interior expansions");
54  int i;
55  NekDouble lambdaval = mkey.GetConstFactor(StdRegions::eFactorLambda);
56  NekDouble tau = mkey.GetConstFactor(StdRegions::eFactorTau);
57  int ncoeffs = GetNcoeffs();
58 
59  int coordim = GetCoordim();
60 
65  DNekMat LocMat(ncoeffs,ncoeffs);
66 
67  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,ncoeffs);
68  DNekMat &Mat = *returnval;
69 
70  Vmath::Zero(ncoeffs*ncoeffs,Mat.GetPtr(),1);
71 
72  for(i=0; i < coordim; ++i)
73  {
74  DNekScalMat &Dmat = *GetLocMatrix(DerivType[i]);
75 
76  Mat = Mat + Dmat*invMass*Transpose(Dmat);
77  }
78 
79  // Add end Mass Matrix Contribution
81  Mat = Mat + lambdaval*Mass;
82 
83  Array<OneD,unsigned int> bmap;
84  GetBoundaryMap(bmap);
85 
86  // Add tau*F_e using elemental mass matrices
87  for(i = 0; i < 2; ++i)
88  {
89  Mat(bmap[i],bmap[i]) = Mat(bmap[i],bmap[i]) + tau;
90  }
91  }
92  break;
94  {
95  int j,k;
96  int nbndry = NumDGBndryCoeffs();
97  int ncoeffs = GetNcoeffs();
99  factors[StdRegions::eFactorLambda] = mkey.GetConstFactor(StdRegions::eFactorLambda);
100  factors[StdRegions::eFactorTau] = mkey.GetConstFactor(StdRegions::eFactorTau);
101 
102  Array<OneD,NekDouble> lambda(nbndry);
103  DNekVec Lambda(nbndry,lambda,eWrapper);
104  Array<OneD,NekDouble> ulam(ncoeffs);
105  DNekVec Ulam(ncoeffs,ulam,eWrapper);
106  Array<OneD,NekDouble> f(ncoeffs);
107  DNekVec F(ncoeffs,f,eWrapper);
108 
109  // declare matrix space
110  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,nbndry);
111  DNekMat &Umat = *returnval;
112 
113  // Helmholtz matrix
115 
116  // for each degree of freedom of the lambda space
117  // calculate Umat entry
118  // Generate Lambda to U_lambda matrix
119  for(j = 0; j < nbndry; ++j)
120  {
121  Vmath::Zero(nbndry,&lambda[0],1);
122  Vmath::Zero(ncoeffs,&f[0],1);
123  lambda[j] = 1.0;
124 
126 
127  Ulam = invHmat*F; // generate Ulam from lambda
128 
129  // fill column of matrix
130  for(k = 0; k < ncoeffs; ++k)
131  {
132  Umat(k,j) = Ulam[k];
133  }
134  }
135  }
136  break;
140  {
141  int j,k,dir;
142  int nbndry = NumDGBndryCoeffs();
143  int ncoeffs = GetNcoeffs();
144 
145  Array<OneD,NekDouble> lambda(nbndry);
146  DNekVec Lambda(nbndry,lambda,eWrapper);
147 
148  Array<OneD,NekDouble> ulam(ncoeffs);
149  DNekVec Ulam(ncoeffs,ulam,eWrapper);
150  Array<OneD,NekDouble> f(ncoeffs);
151  DNekVec F(ncoeffs,f,eWrapper);
153  factors[StdRegions::eFactorLambda] = mkey.GetConstFactor(StdRegions::eFactorLambda);
154  factors[StdRegions::eFactorTau] = mkey.GetConstFactor(StdRegions::eFactorTau);
155 
156  // declare matrix space
157  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs,nbndry);
158  DNekMat &Qmat = *returnval;
159 
160  // Lambda to U matrix
162 
163  // Inverse mass matrix
165 
166  //Weak Derivative matrix
168  switch(mkey.GetMatrixType())
169  {
171  dir = 0;
173  break;
175  dir = 1;
177  break;
179  dir = 2;
181  break;
182  default:
183  ASSERTL0(false,"Direction not known");
184  break;
185  }
186 
187  // for each degree of freedom of the lambda space
188  // calculate Qmat entry
189  // Generate Lambda to Q_lambda matrix
190  for(j = 0; j < nbndry; ++j)
191  {
192  Vmath::Zero(nbndry,&lambda[0],1);
193  lambda[j] = 1.0;
194 
195  // for lambda[j] = 1 this is the solution to ulam
196  for(k = 0; k < ncoeffs; ++k)
197  {
198  Ulam[k] = lamToU(k,j);
199  }
200 
201 
202  // -D^T ulam
203  Vmath::Neg(ncoeffs,&ulam[0],1);
204  F = Transpose(*Dmat)*Ulam;
205 
206  // + \tilde{G} \lambda
207  AddNormTraceInt(dir,lambda,f);
208 
209  // multiply by inverse mass matrix
210  Ulam = invMass*F;
211 
212  // fill column of matrix (Qmat is in column major format)
213  Vmath::Vcopy(ncoeffs,&ulam[0],1,&(Qmat.GetPtr())[0]+j*ncoeffs,1);
214  }
215  }
216  break;
218  {
219  int j;
220  int nbndry = NumBndryCoeffs();
221 
223  factors[StdRegions::eFactorLambda] = mkey.GetConstFactor(StdRegions::eFactorLambda);
224  factors[StdRegions::eFactorTau] = mkey.GetConstFactor(StdRegions::eFactorTau);
225 
226  Array<OneD,unsigned int> bmap;
227  Array<OneD, NekDouble> lam(2);
228  GetBoundaryMap(bmap);
229 
230  // declare matrix space
231  returnval = MemoryManager<DNekMat>::AllocateSharedPtr(nbndry, nbndry);
232  DNekMat &BndMat = *returnval;
233 
234  // Matrix to map Lambda to U
236 
237  // Matrix to map Lambda to Q
239 
240  lam[0] = 1.0; lam[1] = 0.0;
241  for(j = 0; j < nbndry; ++j)
242  {
243  BndMat(0,j) = -LamToQ(bmap[0],j) - factors[StdRegions::eFactorTau]*(LamToU(bmap[0],j) - lam[j]);
244  }
245 
246  lam[0] = 0.0; lam[1] = 1.0;
247  for(j = 0; j < nbndry; ++j)
248  {
249  BndMat(1,j) = LamToQ(bmap[1],j) - factors[StdRegions::eFactorTau]*(LamToU(bmap[1],j) - lam[j]);
250  }
251  }
252  break;
253  default:
254  ASSERTL0(false,"This matrix type cannot be generated from this class");
255  break;
256  }
257 
258  return returnval;
259  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:161
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
std::map< ConstFactorType, NekDouble > ConstFactorMap
Definition: StdRegions.hpp:251
boost::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:70
boost::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:52
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.cpp:382
double NekDouble
void AddNormTraceInt(const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:83
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:49
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:131
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.cpp:359
void AddHDGHelmholtzTraceTerms(const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:191
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.cpp:1047
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:816

Member Data Documentation

int Nektar::LocalRegions::Expansion1D::m_elementEdgeLeft
private

Definition at line 117 of file Expansion1D.h.

Referenced by Expansion1D(), GetLeftAdjacentElementEdge(), and SetAdjacentElementExp().

int Nektar::LocalRegions::Expansion1D::m_elementEdgeRight
private

Definition at line 118 of file Expansion1D.h.

Referenced by Expansion1D(), GetRightAdjacentElementEdge(), and SetAdjacentElementExp().

Expansion2DWeakPtr Nektar::LocalRegions::Expansion1D::m_elementLeft
private
Expansion2DWeakPtr Nektar::LocalRegions::Expansion1D::m_elementRight
private

Definition at line 116 of file Expansion1D.h.

Referenced by GetRightAdjacentElementExp(), and SetAdjacentElementExp().