Nektar++
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Nektar::LocalRegions::Expansion1D Class Reference

#include <Expansion1D.h>

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

 Expansion1D (SpatialDomains::Geometry1DSharedPtr pGeom)
 
 ~Expansion1D () override=default
 
void AddNormTraceInt (const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
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)
 
 ~Expansion () override
 
void SetTraceExp (const int traceid, ExpansionSharedPtr &f)
 
ExpansionSharedPtr GetTraceExp (const int traceid)
 
DNekScalMatSharedPtr GetLocMatrix (const LocalRegions::MatrixKey &mkey)
 
void DropLocMatrix (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 ()
 
IndexMapValuesSharedPtr CreateIndexMap (const IndexMapKey &ikey)
 
DNekScalBlkMatSharedPtr CreateStaticCondMatrix (const MatrixKey &mkey)
 
const SpatialDomains::GeomFactorsSharedPtr & 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 std::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 std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
void AddFaceNormBoundaryInt (const int face, const std::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)
 
NekDouble VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)
 
void NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors)
 
IndexMapValuesSharedPtr GetIndexMap (const IndexMapKey &ikey)
 
void AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
ExpansionSharedPtr GetLeftAdjacentElementExp () const
 
ExpansionSharedPtr GetRightAdjacentElementExp () const
 
int GetLeftAdjacentElementTrace () const
 
int GetRightAdjacentElementTrace () const
 
void SetAdjacentElementExp (int traceid, ExpansionSharedPtr &e)
 
StdRegions::Orientation GetTraceOrient (int trace)
 
void SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 Divided by the metric jacobi and quadrature weights. More...
 
void GetTraceQFactors (const int trace, 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 GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient=StdRegions::eNoOrientation)
 
void GetTracePhysMap (const int edge, Array< OneD, int > &outarray)
 
void ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1)
 
const NormalVector & GetTraceNormal (const int id)
 
void ComputeTraceNormal (const int id)
 
const Array< OneD, const NekDouble > & GetPhysNormals (void)
 
void SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
void SetUpPhysNormals (const int trace)
 
void AddRobinMassMatrix (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
void TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)
 
void AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs)
 
const Array< OneD, const NekDouble > & GetElmtBndNormDirElmtLen (const int nbnd) const
 
void StdDerivBaseOnTraceMat (Array< OneD, DNekMatSharedPtr > &DerivMat)
 
- 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 GetTraceNcoeffs (const int i) const
 This function returns the number of expansion coefficients belonging to the i-th trace. More...
 
int GetTraceIntNcoeffs (const int i) const
 
int GetTraceNumPoints (const int i) const
 This function returns the number of quadrature points belonging to the i-th trace. More...
 
const LibUtilities::BasisKey GetTraceBasisKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
LibUtilities::PointsKey GetTracePointsKey (const int i, int k=-1) const
 This function returns the basis key belonging to the i-th trace. More...
 
int NumBndryCoeffs (void) const
 
int NumDGBndryCoeffs (void) const
 
const LibUtilities::PointsKey GetNodalPointsKey () const
 This function returns the type of expansion Nodal point type if defined. More...
 
int GetNtraces () 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...
 
std::shared_ptr< StdExpansion > GetStdExp () const
 
std::shared_ptr< StdExpansion > GetLinStdExp (void) const
 
int GetShapeDimension () const
 
bool IsBoundaryInteriorExpansion () const
 
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 FwdTransBndConstrained (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)
 
void IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, 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)
 
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)
 
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 GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceCoeffMap (const unsigned int traceid, Array< OneD, unsigned int > &maparray)
 
void GetElmtTraceToTraceMap (const unsigned int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards, int P=-1, int Q=-1)
 
void GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eForwards)
 
void GetTraceNumModes (const int tid, int &numModes0, int &numModes1, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2)
 
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 ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
 
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 LinearAdvectionMatrixOp (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)
 
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, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 This function evaluates the first derivative of the expansion at a single (arbitrary) point of the domain. More...
 
NekDouble PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)
 
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...
 
NekDouble PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode)
 This function evaluates the basis function mode mode at a point coords 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...
 
void LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi)
 Convert local collapsed coordinates eta into local cartesian coordinate xi. More...
 
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 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)
 
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 LibUtilities::PointsKeyVector GetPointsKeys () const
 
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 >
std::shared_ptr< T > as ()
 
void IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true)
 
void GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
- Public Member Functions inherited from Nektar::StdRegions::StdExpansion1D
 StdExpansion1D (int numcoeffs, const LibUtilities::BasisKey &Ba)
 
 StdExpansion1D ()=default
 
 StdExpansion1D (const StdExpansion1D &T)=default
 
 ~StdExpansion1D () override=default
 
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...
 
NekDouble BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs)
 
NekDouble BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs)
 

Protected Member Functions

DNekMatSharedPtr v_GenMatrix (const StdRegions::StdMatrixKey &mkey) override
 
void v_AddRobinMassMatrix (const int vert, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat) override
 
void v_AddRobinTraceContribution (const int vert, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs) override
 
NekDouble v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec) override
 
void v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors) override
 : This method gets all of the factors which are required as part of the Gradient Jump Penalty stabilisation and involves the product of the normal and geometric factors along the element trace. More...
 
void v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1) override
 
void v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p) override
 
- Protected Member Functions inherited from Nektar::LocalRegions::Expansion
void ComputeLaplacianMetric ()
 
void ComputeQuadratureMetric ()
 
void ComputeGmatcdotMF (const Array< TwoD, const NekDouble > &df, const Array< OneD, const NekDouble > &direction, Array< OneD, Array< OneD, NekDouble > > &dfdir)
 
Array< OneD, NekDouble > GetMF (const int dir, const int shapedim, const StdRegions::VarCoeffMap &varcoeffs)
 
Array< OneD, NekDouble > GetMFDiv (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
 
Array< OneD, NekDouble > GetMFMag (const int dir, const StdRegions::VarCoeffMap &varcoeffs)
 
void v_MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
virtual void v_DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_ComputeLaplacianMetric ()
 
int v_GetCoordim () const override
 
void v_GetCoords (Array< OneD, NekDouble > &coords_1, Array< OneD, NekDouble > &coords_2, Array< OneD, NekDouble > &coords_3) override
 
virtual DNekScalMatSharedPtr v_GetLocMatrix (const LocalRegions::MatrixKey &mkey)
 
virtual void v_DropLocMatrix (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_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 std::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 std::shared_ptr< Expansion > &EdgeExp, const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
 
virtual void v_AddFaceNormBoundaryInt (const int face, const std::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)
 
virtual NekDouble v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &vec)
 
virtual void v_NormalTraceDerivFactors (Array< OneD, Array< OneD, NekDouble > > &factors, Array< OneD, Array< OneD, NekDouble > > &d0factors, Array< OneD, Array< OneD, NekDouble > > &d1factors)
 
virtual void v_AlignVectorToCollapsedDir (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, Array< OneD, NekDouble > > &outarray)
 
virtual StdRegions::Orientation v_GetTraceOrient (int trace)
 
void v_SetCoeffsToOrientation (StdRegions::Orientation dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
 
virtual void v_GetTraceQFactors (const int trace, Array< OneD, NekDouble > &outarray)
 
virtual void v_GetTracePhysVals (const int trace, const StdRegions::StdExpansionSharedPtr &TraceExp, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, StdRegions::Orientation orient)
 
virtual void v_GetTracePhysMap (const int edge, Array< OneD, int > &outarray)
 
virtual void v_ReOrientTracePhysMap (const StdRegions::Orientation orient, Array< OneD, int > &idmap, const int nq0, const int nq1=-1)
 
virtual void v_ComputeTraceNormal (const int id)
 
virtual const Array< OneD, const NekDouble > & v_GetPhysNormals ()
 
virtual void v_SetPhysNormals (Array< OneD, const NekDouble > &normal)
 
virtual void v_SetUpPhysNormals (const int id)
 
virtual void v_AddRobinMassMatrix (const int face, const Array< OneD, const NekDouble > &primCoeffs, DNekMatSharedPtr &inoutmat)
 
virtual void v_AddRobinTraceContribution (const int traceid, const Array< OneD, const NekDouble > &primCoeffs, const Array< OneD, NekDouble > &incoeffs, Array< OneD, NekDouble > &coeffs)
 
virtual void v_TraceNormLen (const int traceid, NekDouble &h, NekDouble &p)
 
virtual void v_GenTraceExp (const int traceid, ExpansionSharedPtr &exp)
 
- 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...
 
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 IProductWRTDirectionalDerivBase_SumFac (const Array< OneD, const NekDouble > &direction, 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 LinearAdvectionMatrixOp_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)
 
virtual void v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat)
 
virtual void v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv, NekDouble &deriv2)
 This function performs the barycentric interpolation of the polynomial stored in coord at a point physvals using barycentric interpolation weights in direction. More...
 
template<int DIR>
NekDouble BaryEvaluateBasis (const NekDouble &coord, const int &mode)
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals)
 Helper function to pass an unused value by reference into BaryEvaluate. More...
 
template<int DIR, bool DERIV = false, bool DERIV2 = false>
NekDouble BaryEvaluate (const NekDouble &coord, const NekDouble *physvals, NekDouble &deriv)
 
- Protected Member Functions inherited from Nektar::StdRegions::StdExpansion1D
NekDouble v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override
 
NekDouble v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override
 
NekDouble v_PhysEvaluate (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs, std::array< NekDouble, 6 > &secondOrderDerivs) override
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::LocalRegions::Expansion
LibUtilities::NekManager< IndexMapKey, IndexMapValues, IndexMapKey::opLess > m_indexMapManager
 
std::map< int, ExpansionWeakPtr > m_traceExp
 
SpatialDomains::GeometrySharedPtr m_geom
 
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
 
MetricMap m_metrics
 
std::map< int, NormalVector > m_traceNormals
 
ExpansionWeakPtr m_elementLeft
 
ExpansionWeakPtr m_elementRight
 
int m_elementTraceLeft = -1
 
int m_elementTraceRight = -1
 
std::map< int, Array< OneD, NekDouble > > m_elmtBndNormDirElmtLen
 the element length in each element boundary(Vertex, edge or face) normal direction calculated based on the local m_metricinfo times the standard element length (which is 2.0) More...
 
- 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
 

Detailed Description

Definition at line 54 of file Expansion1D.h.

Constructor & Destructor Documentation

◆ Expansion1D()

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

Definition at line 58 of file Expansion1D.h.

59 : Expansion(pGeom), StdExpansion1D()
60 {
61 }
Nektar::LocalRegions::Expansion::Expansion
Expansion(SpatialDomains::GeometrySharedPtr pGeom)
Definition: Expansion.cpp:43

◆ ~Expansion1D()

Nektar::LocalRegions::Expansion1D::~Expansion1D ( )
overridedefault

Member Function Documentation

◆ AddHDGHelmholtzTraceTerms()

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

Definition at line 309 of file Expansion1D.cpp.

312{
313 int i, n;
314 int nbndry = NumBndryCoeffs();
315 int nquad = GetNumPoints(0);
316 int ncoeffs = GetNcoeffs();
317 int coordim = GetCoordim();
318 Array<OneD, unsigned int> vmap;
319
320 ASSERTL0(&inarray[0] != &outarray[0],
321 "Input and output arrays use the same memory");
322
323 const Array<OneD, const NekDouble> &Basis = GetBasis(0)->GetBdata();
324 DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
325
326 GetBoundaryMap(vmap);
327
328 // Add F = \tau <phi_i,phi_j> (note phi_i is zero if phi_j is non-zero)
329 for (i = 0; i < nbndry; ++i)
330 {
331 outarray[vmap[i]] += tau * Basis[(vmap[i] + 1) * nquad - 1] *
332 Basis[(vmap[i] + 1) * nquad - 1] *
333 inarray[vmap[i]];
334 outarray[vmap[i]] += tau * Basis[vmap[i] * nquad] *
335 Basis[vmap[i] * nquad] * inarray[vmap[i]];
336 }
337
338 //===============================================================
339 // Add -\sum_i D_i^T M^{-1} G_i + E_i M^{-1} G_i =
340 // \sum_i D_i M^{-1} G_i term
341
342 StdRegions::MatrixType DerivType[3] = {StdRegions::eWeakDeriv0,
343 StdRegions::eWeakDeriv1,
344 StdRegions::eWeakDeriv2};
345 Array<OneD, NekDouble> tmpcoeff(ncoeffs, 0.0);
346 DNekVec Coeffs(ncoeffs, outarray, eWrapper);
347 DNekVec Tmpcoeff(ncoeffs, tmpcoeff, eWrapper);
348
349 for (n = 0; n < coordim; ++n)
350 {
351 // evaluate M^{-1} G
352 for (i = 0; i < ncoeffs; ++i)
353 {
354 // lower boundary (negative normal)
355 tmpcoeff[i] -= invMass(i, vmap[0]) * Basis[vmap[0] * nquad] *
356 Basis[vmap[0] * nquad] * inarray[vmap[0]];
357
358 // upper boundary (positive normal)
359 tmpcoeff[i] += invMass(i, vmap[1]) *
360 Basis[(vmap[1] + 1) * nquad - 1] *
361 Basis[(vmap[1] + 1) * nquad - 1] * inarray[vmap[1]];
362 }
363
364 DNekScalMat &Dmat = *GetLocMatrix(DerivType[n]);
365 Coeffs = Coeffs + Dmat * Tmpcoeff;
366 }
367}
ASSERTL0
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:208
Nektar::LocalRegions::Expansion::GetLocMatrix
DNekScalMatSharedPtr GetLocMatrix(const LocalRegions::MatrixKey &mkey)
Definition: Expansion.cpp:84
Nektar::StdRegions::StdExpansion::GetBoundaryMap
void GetBoundaryMap(Array< OneD, unsigned int > &outarray)
Definition: StdExpansion.h:669
Nektar::StdRegions::StdExpansion::GetBasis
const LibUtilities::BasisSharedPtr & GetBasis(int dir) const
This function gets the shared point to basis in the dir direction.
Definition: StdExpansion.h:112
Nektar::StdRegions::StdExpansion::GetNcoeffs
int GetNcoeffs(void) const
This function returns the total number of coefficients used in the expansion.
Definition: StdExpansion.h:124
Nektar::StdRegions::StdExpansion::GetNumPoints
int GetNumPoints(const int dir) const
This function returns the number of quadrature points in the dir direction.
Definition: StdExpansion.h:218
Nektar::DNekScalMat
NekMatrix< NekMatrix< NekDouble, StandardMatrixTag >, ScaledMatrixTag > DNekScalMat
Definition: NekMatrixFwd.hpp:65
Nektar::DNekVec
NekVector< NekDouble > DNekVec
Definition: NekTypeDefs.hpp:48

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().

◆ AddNormTraceInt()

void Nektar::LocalRegions::Expansion1D::AddNormTraceInt ( const int  dir,
Array< OneD, const NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)

Definition at line 286 of file Expansion1D.cpp.

289{
290 int k;
291 int nbndry = NumBndryCoeffs();
292 int nquad = GetNumPoints(0);
293 const Array<OneD, const NekDouble> &Basis = GetBasis(0)->GetBdata();
294 Array<OneD, unsigned int> vmap;
295
296 GetBoundaryMap(vmap);
297
298 // add G \lambda term (can assume G is diagonal since one
299 // of the basis is zero at boundary otherwise)
300 for (k = 0; k < nbndry; ++k)
301 {
302 outarray[vmap[k]] += (Basis[(vmap[k] + 1) * nquad - 1] *
303 Basis[(vmap[k] + 1) * nquad - 1] -
304 Basis[vmap[k] * nquad] * Basis[vmap[k] * nquad]) *
305 inarray[vmap[k]];
306 }
307}

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

Referenced by v_GenMatrix().

◆ GetGeom1D()

SpatialDomains::Geometry1DSharedPtr Nektar::LocalRegions::Expansion1D::GetGeom1D ( ) const
inline

Definition at line 104 of file Expansion1D.h.

105{
106 return std::dynamic_pointer_cast<SpatialDomains ::Geometry1D>(m_geom);
107}
Nektar::LocalRegions::Expansion::m_geom
SpatialDomains::GeometrySharedPtr m_geom
Definition: Expansion.h:273

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

Referenced by Nektar::VariableConverter::SetElmtMinHP(), and Nektar::DiffusionLDGNS::v_InitObject().

◆ v_AddRobinMassMatrix()

void Nektar::LocalRegions::Expansion1D::v_AddRobinMassMatrix ( const int  vert,
const Array< OneD, const NekDouble > &  primCoeffs,
DNekMatSharedPtr &  inoutmat 
)
overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 369 of file Expansion1D.cpp.

372{
373 ASSERTL0(IsBoundaryInteriorExpansion(),
374 "Robin boundary conditions are only implemented for "
375 "boundary-interior expanisons");
376 ASSERTL1(inoutmat->GetRows() == inoutmat->GetColumns(),
377 "Assuming that input matrix was square");
378
379 // Get local Element mapping for vertex point
380 int map = GetVertexMap(vert);
381
382 // Now need to identify a map which takes the local edge
383 // mass matrix to the matrix stored in inoutmat;
384 // This can currently be deduced from the size of the matrix
385 // - if inoutmat.m_rows() == v_NCoeffs() it is a full
386 // matrix system
387 // - if inoutmat.m_rows() == v_NumBndCoeffs() it is a
388 // boundary CG system
389
390 int rows = inoutmat->GetRows();
391
392 if (rows == GetNcoeffs())
393 {
394 // no need to do anything
395 }
396 else if (rows == NumBndryCoeffs()) // same as NumDGBndryCoeffs()
397 {
398 int i;
399 Array<OneD, unsigned int> bmap;
400 GetBoundaryMap(bmap);
401
402 for (i = 0; i < 2; ++i)
403 {
404 if (map == bmap[i])
405 {
406 map = i;
407 break;
408 }
409 }
410 ASSERTL1(i != 2, "Did not find number in map");
411 }
412
413 // assumes end points have unit magnitude
414 (*inoutmat)(map, map) += primCoeffs[0];
415}
ASSERTL1
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode....
Definition: ErrorUtil.hpp:242
Nektar::StdRegions::StdExpansion::GetVertexMap
int GetVertexMap(const int localVertexId, bool useCoeffPacking=false)
Definition: StdExpansion.h:679

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

◆ v_AddRobinTraceContribution()

void Nektar::LocalRegions::Expansion1D::v_AddRobinTraceContribution ( const int  vert,
const Array< OneD, const NekDouble > &  primCoeffs,
const Array< OneD, NekDouble > &  incoeffs,
Array< OneD, NekDouble > &  coeffs 
)
overrideprotectedvirtual

Given an edge and vector of element coefficients:

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

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 425 of file Expansion1D.cpp.

428{
429 ASSERTL1(IsBoundaryInteriorExpansion(),
430 "Not set up for non boundary-interior expansions");
431
432 int map = GetVertexMap(vert);
433 coeffs[map] += primCoeffs[0] * incoeffs[map];
434}

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

◆ v_GenMatrix()

DNekMatSharedPtr Nektar::LocalRegions::Expansion1D::v_GenMatrix ( const StdRegions::StdMatrixKey &  mkey)
overrideprotectedvirtual

Reimplemented from Nektar::StdRegions::StdExpansion.

Reimplemented in Nektar::LocalRegions::SegExp.

Definition at line 43 of file Expansion1D.cpp.

44{
45 DNekMatSharedPtr returnval;
46
47 switch (mkey.GetMatrixType())
48 {
49 case StdRegions::eHybridDGHelmholtz:
50 {
51 ASSERTL1(IsBoundaryInteriorExpansion(),
52 "HybridDGHelmholtz matrix not set up "
53 "for non boundary-interior expansions");
54 int i;
55 NekDouble lambdaval =
56 mkey.GetConstFactor(StdRegions::eFactorLambda);
57 NekDouble tau = mkey.GetConstFactor(StdRegions::eFactorTau);
58 int ncoeffs = GetNcoeffs();
59
60 int coordim = GetCoordim();
61
62 DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
63 StdRegions::MatrixType DerivType[3] = {StdRegions::eWeakDeriv0,
64 StdRegions::eWeakDeriv1,
65 StdRegions::eWeakDeriv2};
66 DNekMat LocMat(ncoeffs, ncoeffs);
67
68 returnval =
69 MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs, ncoeffs);
70 DNekMat &Mat = *returnval;
71
72 Vmath::Zero(ncoeffs * ncoeffs, Mat.GetPtr(), 1);
73
74 for (i = 0; i < coordim; ++i)
75 {
76 DNekScalMat &Dmat = *GetLocMatrix(DerivType[i]);
77
78 Mat = Mat + Dmat * invMass * Transpose(Dmat);
79 }
80
81 // Add end Mass Matrix Contribution
82 DNekScalMat &Mass = *GetLocMatrix(StdRegions::eMass);
83 Mat = Mat + lambdaval * Mass;
84
85 Array<OneD, unsigned int> bmap;
86 GetBoundaryMap(bmap);
87
88 // Add tau*F_e using elemental mass matrices
89 for (i = 0; i < 2; ++i)
90 {
91 Mat(bmap[i], bmap[i]) = Mat(bmap[i], bmap[i]) + tau;
92 }
93 }
94 break;
95 case StdRegions::eHybridDGLamToU:
96 {
97 int j, k;
98 int nbndry = NumDGBndryCoeffs();
99 int ncoeffs = GetNcoeffs();
100 StdRegions::ConstFactorMap factors;
101 factors[StdRegions::eFactorLambda] =
102 mkey.GetConstFactor(StdRegions::eFactorLambda);
103 factors[StdRegions::eFactorTau] =
104 mkey.GetConstFactor(StdRegions::eFactorTau);
105
106 Array<OneD, NekDouble> lambda(nbndry);
107 DNekVec Lambda(nbndry, lambda, eWrapper);
108 Array<OneD, NekDouble> ulam(ncoeffs);
109 DNekVec Ulam(ncoeffs, ulam, eWrapper);
110 Array<OneD, NekDouble> f(ncoeffs);
111 DNekVec F(ncoeffs, f, eWrapper);
112
113 // declare matrix space
114 returnval =
115 MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs, nbndry);
116 DNekMat &Umat = *returnval;
117
118 // Helmholtz matrix
119 DNekScalMat &invHmat =
120 *GetLocMatrix(StdRegions::eInvHybridDGHelmholtz, factors);
121
122 // for each degree of freedom of the lambda space
123 // calculate Umat entry
124 // Generate Lambda to U_lambda matrix
125 for (j = 0; j < nbndry; ++j)
126 {
127 Vmath::Zero(nbndry, &lambda[0], 1);
128 Vmath::Zero(ncoeffs, &f[0], 1);
129 lambda[j] = 1.0;
130
131 AddHDGHelmholtzTraceTerms(factors[StdRegions::eFactorTau],
132 lambda, f);
133
134 Ulam = invHmat * F; // generate Ulam from lambda
135
136 // fill column of matrix
137 for (k = 0; k < ncoeffs; ++k)
138 {
139 Umat(k, j) = Ulam[k];
140 }
141 }
142 }
143 break;
144 case StdRegions::eHybridDGLamToQ0:
145 case StdRegions::eHybridDGLamToQ1:
146 case StdRegions::eHybridDGLamToQ2:
147 {
148 int j = 0;
149 int k = 0;
150 int dir = 0;
151 int nbndry = NumDGBndryCoeffs();
152 int ncoeffs = GetNcoeffs();
153
154 Array<OneD, NekDouble> lambda(nbndry);
155 DNekVec Lambda(nbndry, lambda, eWrapper);
156
157 Array<OneD, NekDouble> ulam(ncoeffs);
158 DNekVec Ulam(ncoeffs, ulam, eWrapper);
159 Array<OneD, NekDouble> f(ncoeffs);
160 DNekVec F(ncoeffs, f, eWrapper);
161 StdRegions::ConstFactorMap factors;
162 factors[StdRegions::eFactorLambda] =
163 mkey.GetConstFactor(StdRegions::eFactorLambda);
164 factors[StdRegions::eFactorTau] =
165 mkey.GetConstFactor(StdRegions::eFactorTau);
166
167 // declare matrix space
168 returnval =
169 MemoryManager<DNekMat>::AllocateSharedPtr(ncoeffs, nbndry);
170 DNekMat &Qmat = *returnval;
171
172 // Lambda to U matrix
173 DNekScalMat &lamToU =
174 *GetLocMatrix(StdRegions::eHybridDGLamToU, factors);
175
176 // Inverse mass matrix
177 DNekScalMat &invMass = *GetLocMatrix(StdRegions::eInvMass);
178
179 // Weak Derivative matrix
180 DNekScalMatSharedPtr Dmat;
181 switch (mkey.GetMatrixType())
182 {
183 case StdRegions::eHybridDGLamToQ0:
184 dir = 0;
185 Dmat = GetLocMatrix(StdRegions::eWeakDeriv0);
186 break;
187 case StdRegions::eHybridDGLamToQ1:
188 dir = 1;
189 Dmat = GetLocMatrix(StdRegions::eWeakDeriv1);
190 break;
191 case StdRegions::eHybridDGLamToQ2:
192 dir = 2;
193 Dmat = GetLocMatrix(StdRegions::eWeakDeriv2);
194 break;
195 default:
196 ASSERTL0(false, "Direction not known");
197 break;
198 }
199
200 // for each degree of freedom of the lambda space
201 // calculate Qmat entry
202 // Generate Lambda to Q_lambda matrix
203 for (j = 0; j < nbndry; ++j)
204 {
205 Vmath::Zero(nbndry, &lambda[0], 1);
206 lambda[j] = 1.0;
207
208 // for lambda[j] = 1 this is the solution to ulam
209 for (k = 0; k < ncoeffs; ++k)
210 {
211 Ulam[k] = lamToU(k, j);
212 }
213
214 // -D^T ulam
215 Vmath::Neg(ncoeffs, &ulam[0], 1);
216 F = Transpose(*Dmat) * Ulam;
217
218 // + \tilde{G} \lambda
219 AddNormTraceInt(dir, lambda, f);
220
221 // multiply by inverse mass matrix
222 Ulam = invMass * F;
223
224 // fill column of matrix (Qmat is in column major format)
225 Vmath::Vcopy(ncoeffs, &ulam[0], 1,
226 &(Qmat.GetPtr())[0] + j * ncoeffs, 1);
227 }
228 }
229 break;
230 case StdRegions::eHybridDGHelmBndLam:
231 {
232 int j;
233 int nbndry = NumBndryCoeffs();
234
235 StdRegions::ConstFactorMap factors;
236 factors[StdRegions::eFactorLambda] =
237 mkey.GetConstFactor(StdRegions::eFactorLambda);
238 factors[StdRegions::eFactorTau] =
239 mkey.GetConstFactor(StdRegions::eFactorTau);
240
241 Array<OneD, unsigned int> bmap;
242 Array<OneD, NekDouble> lam(2);
243 GetBoundaryMap(bmap);
244
245 // declare matrix space
246 returnval =
247 MemoryManager<DNekMat>::AllocateSharedPtr(nbndry, nbndry);
248 DNekMat &BndMat = *returnval;
249
250 // Matrix to map Lambda to U
251 DNekScalMat &LamToU =
252 *GetLocMatrix(StdRegions::eHybridDGLamToU, factors);
253
254 // Matrix to map Lambda to Q
255 DNekScalMat &LamToQ =
256 *GetLocMatrix(StdRegions::eHybridDGLamToQ0, factors);
257
258 lam[0] = 1.0;
259 lam[1] = 0.0;
260 for (j = 0; j < nbndry; ++j)
261 {
262 BndMat(0, j) =
263 -LamToQ(bmap[0], j) - factors[StdRegions::eFactorTau] *
264 (LamToU(bmap[0], j) - lam[j]);
265 }
266
267 lam[0] = 0.0;
268 lam[1] = 1.0;
269 for (j = 0; j < nbndry; ++j)
270 {
271 BndMat(1, j) =
272 LamToQ(bmap[1], j) - factors[StdRegions::eFactorTau] *
273 (LamToU(bmap[1], j) - lam[j]);
274 }
275 }
276 break;
277 default:
278 ASSERTL0(false,
279 "This matrix type cannot be generated from this class");
280 break;
281 }
282
283 return returnval;
284}
Nektar::LocalRegions::Expansion1D::AddHDGHelmholtzTraceTerms
void AddHDGHelmholtzTraceTerms(const NekDouble tau, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: Expansion1D.cpp:309
Nektar::LocalRegions::Expansion1D::AddNormTraceInt
void AddNormTraceInt(const int dir, Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
Definition: Expansion1D.cpp:286
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:166
Nektar::StdRegions::ConstFactorMap
std::map< ConstFactorType, NekDouble > ConstFactorMap
Definition: StdRegions.hpp:430
Nektar::VarcoeffHashingTest::factors
StdRegions::ConstFactorMap factors
Definition: TestVarcoeffHashing.cpp:52
Nektar::DNekScalMatSharedPtr
std::shared_ptr< DNekScalMat > DNekScalMatSharedPtr
Definition: NekMatrixFwd.hpp:66
Nektar::DNekMat
NekMatrix< NekDouble, StandardMatrixTag > DNekMat
Definition: NekTypeDefs.hpp:50
Nektar::Transpose
NekMatrix< InnerMatrixType, BlockMatrixTag > Transpose(NekMatrix< InnerMatrixType, BlockMatrixTag > &rhs)
Definition: BlockMatrix.hpp:235
Nektar::DNekMatSharedPtr
std::shared_ptr< DNekMat > DNekMatSharedPtr
Definition: NekTypeDefs.hpp:75
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:43
Vmath::Neg
void Neg(int n, T *x, const int incx)
Negate x = -x.
Definition: Vmath.hpp:292
Vmath::Zero
void Zero(int n, T *x, const int incx)
Zero vector.
Definition: Vmath.hpp:273
Vmath::Vcopy
void Vcopy(int n, const T *x, const int incx, T *y, const int incy)
Definition: Vmath.hpp:825

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::VarcoeffHashingTest::factors, 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().

◆ v_NormalTraceDerivFactors()

void Nektar::LocalRegions::Expansion1D::v_NormalTraceDerivFactors ( Array< OneD, Array< OneD, NekDouble > > &  factors,
Array< OneD, Array< OneD, NekDouble > > &  d0factors,
Array< OneD, Array< OneD, NekDouble > > &  d1factors 
)
overrideprotectedvirtual

: This method gets all of the factors which are required as part of the Gradient Jump Penalty stabilisation and involves the product of the normal and geometric factors along the element trace.

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 456 of file Expansion1D.cpp.

460{
461 int nquad = GetNumPoints(0);
462 Array<TwoD, const NekDouble> gmat =
463 m_metricinfo->GetDerivFactors(GetPointsKeys());
464
465 if (factors.size() <= 2)
466 {
467 factors = Array<OneD, Array<OneD, NekDouble>>(2);
468 factors[0] = Array<OneD, NekDouble>(1);
469 factors[1] = Array<OneD, NekDouble>(1);
470 }
471
472 // Outwards normal
473 const Array<OneD, const Array<OneD, NekDouble>> &normal_0 =
474 GetTraceNormal(0);
475 const Array<OneD, const Array<OneD, NekDouble>> &normal_1 =
476 GetTraceNormal(1);
477
478 if (m_metricinfo->GetGtype() == SpatialDomains::eDeformed)
479 {
480 factors[0][0] = gmat[0][nquad - 1] * normal_0[0][0];
481 factors[1][0] = gmat[0][0] * normal_1[0][0];
482
483 for (int n = 1; n < normal_0.size(); ++n)
484 {
485 factors[0][0] += gmat[n][0] * normal_0[n][0];
486 factors[1][0] += gmat[n][nquad - 1] * normal_1[n][0];
487 }
488 }
489 else
490 {
491 factors[0][0] = gmat[0][0] * normal_0[0][0];
492 factors[1][0] = gmat[0][0] * normal_1[0][0];
493
494 for (int n = 1; n < normal_0.size(); ++n)
495 {
496 factors[0][0] += gmat[n][0] * normal_0[n][0];
497 factors[1][0] += gmat[n][0] * normal_1[n][0];
498 }
499 }
500}
Nektar::LocalRegions::Expansion::m_metricinfo
SpatialDomains::GeomFactorsSharedPtr m_metricinfo
Definition: Expansion.h:274
Nektar::LocalRegions::Expansion::GetTraceNormal
const NormalVector & GetTraceNormal(const int id)
Definition: Expansion.cpp:251
Nektar::StdRegions::StdExpansion::GetPointsKeys
const LibUtilities::PointsKeyVector GetPointsKeys() const
Definition: StdExpansion.h:1095
Nektar::SpatialDomains::eDeformed
@ eDeformed
Geometry is curved or has non-constant factors.
Definition: SpatialDomains.hpp:54

References Nektar::SpatialDomains::eDeformed, Nektar::VarcoeffHashingTest::factors, Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::GetPointsKeys(), Nektar::LocalRegions::Expansion::GetTraceNormal(), and Nektar::LocalRegions::Expansion::m_metricinfo.

◆ v_ReOrientTracePhysMap()

void Nektar::LocalRegions::Expansion1D::v_ReOrientTracePhysMap ( const StdRegions::Orientation  orient,
Array< OneD, int > &  idmap,
const int  nq0,
const int  nq1 
)
overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 502 of file Expansion1D.cpp.

506{
507 if (idmap.size() != 1)
508 {
509 idmap = Array<OneD, int>(1);
510 }
511
512 idmap[0] = 0;
513}

◆ v_TraceNormLen()

void Nektar::LocalRegions::Expansion1D::v_TraceNormLen ( const int  traceid,
NekDouble &  h,
NekDouble &  p 
)
overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 515 of file Expansion1D.cpp.

517{
518 h = GetGeom()->GetVertex(1)->dist(*GetGeom()->GetVertex(0));
519 p = m_ncoeffs - 1;
520}
Nektar::LocalRegions::Expansion::GetGeom
SpatialDomains::GeometrySharedPtr GetGeom() const
Definition: Expansion.cpp:167
CellMLToNektar.cellml_metadata.p
p
Definition: cellml_metadata.py:350

References Nektar::LocalRegions::Expansion::GetGeom(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and CellMLToNektar.cellml_metadata::p.

◆ v_VectorFlux()

NekDouble Nektar::LocalRegions::Expansion1D::v_VectorFlux ( const Array< OneD, Array< OneD, NekDouble > > &  vec)
overrideprotectedvirtual

Reimplemented from Nektar::LocalRegions::Expansion.

Definition at line 436 of file Expansion1D.cpp.

438{
439 const Array<OneD, const Array<OneD, NekDouble>> &normals =
440 GetLeftAdjacentElementExp()->GetTraceNormal(
441 GetLeftAdjacentElementTrace());
442
443 int nq = m_base[0]->GetNumPoints();
444 Array<OneD, NekDouble> Fn(nq);
445 Vmath::Vmul(nq, &vec[0][0], 1, &normals[0][0], 1, &Fn[0], 1);
446 Vmath::Vvtvp(nq, &vec[1][0], 1, &normals[1][0], 1, &Fn[0], 1, &Fn[0], 1);
447
448 return Integral(Fn);
449}
Nektar::LocalRegions::Expansion::GetLeftAdjacentElementExp
ExpansionSharedPtr GetLeftAdjacentElementExp() const
Definition: Expansion.h:441
Nektar::LocalRegions::Expansion::GetLeftAdjacentElementTrace
int GetLeftAdjacentElementTrace() const
Definition: Expansion.h:454
Nektar::StdRegions::StdExpansion::m_base
Array< OneD, LibUtilities::BasisSharedPtr > m_base
Definition: StdExpansion.h:1173
Nektar::StdRegions::StdExpansion::Integral
NekDouble Integral(const Array< OneD, const NekDouble > &inarray)
This function integrates the specified function over the domain.
Definition: StdExpansion.h:473
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.hpp:72
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.hpp:366

References Nektar::LocalRegions::Expansion::GetLeftAdjacentElementExp(), Nektar::LocalRegions::Expansion::GetLeftAdjacentElementTrace(), Nektar::StdRegions::StdExpansion::Integral(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Vmul(), and Vmath::Vvtvp().

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