Nektar++
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Class representing a prismatic element in reference space. More...
#include <StdPrismExp.h>
Public Member Functions | |
StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc) | |
StdPrismExp (const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc, NekDouble *coeffs, NekDouble *phys) | |
StdPrismExp (const StdPrismExp &T)=default | |
~StdPrismExp () override=default | |
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StdExpansion3D (int numcoeffs, const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb, const LibUtilities::BasisKey &Bc) | |
StdExpansion3D ()=default | |
StdExpansion3D (const StdExpansion3D &T)=default | |
~StdExpansion3D () override=default | |
void | PhysTensorDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray_d1, Array< OneD, NekDouble > &outarray_d2, Array< OneD, NekDouble > &outarray_d3) |
Calculate the 3D derivative in the local tensor/collapsed coordinate at the physical points. More... | |
void | BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
void | IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) |
int | GetNedges () const |
return the number of edges in 3D expansion More... | |
int | GetEdgeNcoeffs (const int i) const |
This function returns the number of expansion coefficients belonging to the i-th edge. More... | |
void | GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards) |
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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, bool UseGLL=false) 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 | NodalToModal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) |
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... | |
void | PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData) |
interpolate from one set of quadrature points available from FromExp to the set of quadrature points in the current expansion. If the points are the same this routine will just copy the data 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) |
Protected Member Functions | |
void | v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override |
Calculate the derivative of the physical points. More... | |
void | v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
Calculate the derivative of the physical points in a given direction. More... | |
void | v_StdPhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2) override |
void | v_StdPhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
void | v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
void | v_BwdTrans_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
void | v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) override |
void | v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray. More... | |
void | v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray: More... | |
void | v_IProductWRTBase_SumFac (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool multiplybyweights=true) override |
void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2) override |
void | v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
Inner product of inarray over region with respect to the object's default expansion basis; output in outarray. More... | |
void | v_IProductWRTDerivBase_SumFac (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
void | v_LocCoordToLocCollapsed (const Array< OneD, const NekDouble > &xi, Array< OneD, NekDouble > &eta) override |
void | v_LocCollapsedToLocCoord (const Array< OneD, const NekDouble > &eta, Array< OneD, NekDouble > &xi) override |
void | v_GetCoords (Array< OneD, NekDouble > &xi_x, Array< OneD, NekDouble > &xi_y, Array< OneD, NekDouble > &xi_z) override |
void | v_FillMode (const int mode, Array< OneD, NekDouble > &outarray) override |
NekDouble | v_PhysEvaluateBasis (const Array< OneD, const NekDouble > &coords, int mode) final |
void | v_GetTraceNumModes (const int fid, int &numModes0, int &numModes1, Orientation faceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
NekDouble | v_PhysEvalFirstDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) override |
int | v_GetNverts () const override |
int | v_GetNedges () const override |
int | v_GetNtraces () const override |
LibUtilities::ShapeType | v_DetShapeType () const override |
Return Shape of region, using ShapeType enum list; i.e. prism. More... | |
int | v_NumBndryCoeffs () const override |
int | v_NumDGBndryCoeffs () const override |
int | v_GetTraceNcoeffs (const int i) const override |
int | v_GetTraceIntNcoeffs (const int i) const override |
int | v_GetTraceNumPoints (const int i) const override |
int | v_GetEdgeNcoeffs (const int i) const override |
const LibUtilities::BasisKey | v_GetTraceBasisKey (const int i, const int k, bool UseGLL=false) const override |
LibUtilities::PointsKey | v_GetTracePointsKey (const int i, const int j) const override |
int | v_CalcNumberOfCoefficients (const std::vector< unsigned int > &nummodes, int &modes_offset) override |
bool | v_IsBoundaryInteriorExpansion () const override |
int | v_GetVertexMap (int localVertexId, bool useCoeffPacking=false) override |
void | v_GetInteriorMap (Array< OneD, unsigned int > &outarray) override |
void | v_GetBoundaryMap (Array< OneD, unsigned int > &outarray) override |
void | v_GetTraceCoeffMap (const unsigned int fid, Array< OneD, unsigned int > &maparray) override |
void | v_GetElmtTraceToTraceMap (const unsigned int fid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation faceOrient, int P, int Q) override |
void | v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
void | v_GetTraceInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, const Orientation traceOrient=eDir1FwdDir1_Dir2FwdDir2) override |
DNekMatSharedPtr | v_GenMatrix (const StdMatrixKey &mkey) override |
DNekMatSharedPtr | v_CreateStdMatrix (const StdMatrixKey &mkey) override |
void | v_MultiplyByStdQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
void | v_SVVLaplacianFilter (Array< OneD, NekDouble > &array, const StdMatrixKey &mkey) override |
void | v_ReduceOrderCoeffs (int numMin, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override |
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NekDouble | v_PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &physvals) override |
This function evaluates the expansion at a single (arbitrary) point of the domain. More... | |
NekDouble | v_PhysEvaluateInterp (const Array< OneD, DNekMatSharedPtr > &I, const Array< OneD, const NekDouble > &physvals) override |
virtual void | v_BwdTrans_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0 |
virtual void | v_IProductWRTBase_SumFacKernel (const Array< OneD, const NekDouble > &base0, const Array< OneD, const NekDouble > &base1, const Array< OneD, const NekDouble > &base2, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, Array< OneD, NekDouble > &wsp, bool doCheckCollDir0, bool doCheckCollDir1, bool doCheckCollDir2)=0 |
void | v_LaplacianMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
void | v_HelmholtzMatrixOp_MatFree (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::StdMatrixKey &mkey) override |
NekDouble | v_Integral (const Array< OneD, const NekDouble > &inarray) override |
Integrates the specified function over the domain. More... | |
virtual int | v_GetNedges (void) const |
virtual int | v_GetEdgeNcoeffs (const int i) const |
NekDouble | BaryTensorDeriv (const Array< OneD, NekDouble > &coord, const Array< OneD, const NekDouble > &inarray, std::array< NekDouble, 3 > &firstOrderDerivs) |
virtual void | v_GetEdgeInteriorToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient=eForwards) |
void | v_GetTraceToElementMap (const int tid, Array< OneD, unsigned int > &maparray, Array< OneD, int > &signarray, Orientation traceOrient, int P, int Q) override |
void | v_GenStdMatBwdDeriv (const int dir, DNekMatSharedPtr &mat) override |
void | v_PhysInterp (std::shared_ptr< StdExpansion > fromExp, const Array< OneD, const NekDouble > &fromData, Array< OneD, NekDouble > &toData) override |
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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 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) |
Private Member Functions | |
int | GetMode (int I, int J, int K) |
Compute the local mode number in the expansion for a particular tensorial combination. More... | |
Additional Inherited Members | |
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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 |
Class representing a prismatic element in reference space.
Definition at line 44 of file StdPrismExp.h.
Nektar::StdRegions::StdPrismExp::StdPrismExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::BasisKey & | Bc | ||
) |
Definition at line 43 of file StdPrismExp.cpp.
References ASSERTL0, and Nektar::LibUtilities::BasisKey::GetNumModes().
Nektar::StdRegions::StdPrismExp::StdPrismExp | ( | const LibUtilities::BasisKey & | Ba, |
const LibUtilities::BasisKey & | Bb, | ||
const LibUtilities::BasisKey & | Bc, | ||
NekDouble * | coeffs, | ||
NekDouble * | phys | ||
) |
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default |
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overridedefault |
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private |
Compute the local mode number in the expansion for a particular tensorial combination.
Modes are numbered with the r index travelling fastest, followed by q and then p, and each q-r plane is of size (R+1-p). For example, with P=1, Q=2, R=3, the indexing inside each q-r plane (with r increasing upwards and q to the right) is:
3 7 11 2 6 10 14 17 20 1 5 9 13 16 19 0 4 8 12 15 18
Note that in this element, we must have that \( P <= R \).
Definition at line 1938 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::m_base, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().
Referenced by v_GetBoundaryMap(), v_GetEdgeInteriorToElementMap(), v_GetInteriorMap(), v_GetTraceCoeffMap(), v_GetTraceInteriorToElementMap(), v_GetVertexMap(), and v_IProductWRTBase_SumFacKernel().
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Perform backwards transformation at the quadrature points:
\( u^{\delta} (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{m(pqr)} \hat u_{pqr} \phi_{pqr} (\xi_{1i}, \xi_{2j}, \xi_{3k})\)
In the prism this expansion becomes:
\( u (\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_p^a (\xi_{1i}) \lbrace { \sum_{q=0}^{Q_y} \psi_{q}^a (\xi_{2j}) \lbrace { \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pr}^b (\xi_{3k}) \rbrace} \rbrace}. \)
And sumfactorizing step of the form is as:\
\( f_{pr} (\xi_{3k}) = \sum_{r=0}^{Q_z} \hat u_{pqr} \psi_{pr}^b (\xi_{3k}),\\ g_{p} (\xi_{2j}, \xi_{3k}) = \sum_{r=0}^{Q_y} \psi_{p}^a (\xi_{2j}) f_{pr} (\xi_{3k}),\ \ u(\xi_{1i}, \xi_{2j}, \xi_{3k}) = \sum_{p=0}^{Q_x} \psi_{p}^a (\xi_{1i}) g_{p} (\xi_{2j}, \xi_{3k}). \)
Implements Nektar::StdRegions::StdExpansion.
Definition at line 220 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, v_BwdTrans_SumFac(), and Vmath::Vcopy().
Referenced by v_FillMode().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 244 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion3D::BwdTrans_SumFacKernel(), and Nektar::StdRegions::StdExpansion::m_base.
Referenced by v_BwdTrans(), and Nektar::StdRegions::StdNodalPrismExp::v_BwdTrans_SumFac().
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Implements Nektar::StdRegions::StdExpansion3D.
Definition at line 260 of file StdPrismExp.cpp.
References Blas::Daxpy(), Blas::Dgemm(), Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 961 of file StdPrismExp.cpp.
References Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients().
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overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 1915 of file StdPrismExp.cpp.
References v_GenMatrix().
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Return Shape of region, using ShapeType enum list; i.e. prism.
Implements Nektar::StdRegions::StdExpansion.
Definition at line 802 of file StdPrismExp.cpp.
References Nektar::LibUtilities::ePrism.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 716 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::m_ncoeffs, and v_BwdTrans().
Referenced by Nektar::StdRegions::StdNodalPrismExp::GenNBasisTransMatrix().
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Forward transform from physical quadrature space stored in inarray and evaluate the expansion coefficients and store in outarray.
Inputs:
Outputs:
Implements Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 322 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::DetShapeType(), Nektar::StdRegions::eInvMass, Nektar::eWrapper, Nektar::StdRegions::StdExpansion::GetStdMatrix(), Nektar::StdRegions::StdExpansion::m_ncoeffs, and v_IProductWRTBase().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 1828 of file StdPrismExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::StdExpansion::CreateGeneralMatrix(), Nektar::StdRegions::eFactorConst, Nektar::StdRegions::ePhysInterpToEquiSpaced, Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdMatrixKey::GetMatrixType(), Nektar::LibUtilities::StdPrismData::getNumberOfCoefficients(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, Vmath::Smul(), and Vmath::Vcopy().
Referenced by v_CreateStdMatrix().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1086 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 610 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::GetNumPoints(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 1523 of file StdPrismExp.cpp.
References ASSERTL0, Nektar::StdRegions::eBackwards, GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, and v_GetEdgeNcoeffs().
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Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 761 of file StdPrismExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().
Referenced by v_GetEdgeInteriorToElementMap().
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overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1247 of file StdPrismExp.cpp.
References ASSERTL0, ASSERTL1, Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetTraceNcoeffs(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, and CellMLToNektar.cellml_metadata::p.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1048 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::NumBndryCoeffs(), Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().
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Reimplemented from Nektar::StdRegions::StdExpansion3D.
Definition at line 788 of file StdPrismExp.cpp.
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 793 of file StdPrismExp.cpp.
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 783 of file StdPrismExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 925 of file StdPrismExp.cpp.
References ASSERTL2, Nektar::StdRegions::EvaluateQuadFaceBasisKey(), Nektar::StdRegions::EvaluateTriFaceBasisKey(), Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::GetNumPoints(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::NullBasisKey().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1146 of file StdPrismExp.cpp.
References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, and Nektar::UnitTests::q().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1635 of file StdPrismExp.cpp.
References ASSERTL0, Nektar::StdRegions::eDir1BwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1BwdDir1_Dir2FwdDir2, Nektar::StdRegions::eDir1BwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1BwdDir2_Dir2FwdDir1, Nektar::StdRegions::eDir1FwdDir1_Dir2BwdDir2, Nektar::StdRegions::eDir1FwdDir2_Dir2BwdDir1, Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, GetMode(), Nektar::StdRegions::StdExpansion::m_base, Nektar::LibUtilities::P, CellMLToNektar.cellml_metadata::p, Nektar::UnitTests::q(), and v_GetTraceIntNcoeffs().
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 865 of file StdPrismExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::GetBasisNumModes().
Referenced by v_GetTraceInteriorToElementMap().
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 847 of file StdPrismExp.cpp.
References ASSERTL2, Nektar::StdRegions::StdExpansion::GetBasisNumModes(), and Nektar::LibUtilities::P.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 723 of file StdPrismExp.cpp.
References Nektar::StdRegions::eDir1FwdDir2_Dir2FwdDir1, and Nektar::StdRegions::StdExpansion::m_base.
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 887 of file StdPrismExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 905 of file StdPrismExp.cpp.
References ASSERTL2, and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 983 of file StdPrismExp.cpp.
References ASSERTL0, ASSERTL1, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), and GetMode().
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Calculate the inner product of inarray with respect to the basis B=base0*base1*base2 and put into outarray:
\( \begin{array}{rcl} I_{pqr} = (\phi_{pqr}, u)_{\delta} & = &
\sum_{i=0}^{nq_0} \sum_{j=0}^{nq_1} \sum_{k=0}^{nq_2} \psi_{p}^{a}
(\bar \eta_{1i}) \psi_{q}^{a} (\xi_{2j}) \psi_{pr}^{b} (\xi_{3k})
w_i w_j w_k u(\bar \eta_{1,i} \xi_{2,j} \xi_{3,k}) J_{i,j,k}\\ & =
& \sum_{i=0}^{nq_0} \psi_p^a(\bar \eta_{1,i}) \sum_{j=0}^{nq_1}
\psi_{q}^a(\xi_{2,j}) \sum_{k=0}^{nq_2} \psi_{pr}^b u(\bar
\eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} \end{array} \)
where
\( \phi_{pqr} (\xi_1 , \xi_2 , \xi_3) = \psi_p^a (\bar \eta_1)
\psi_{q}^a (\xi_2) \psi_{pr}^b (\xi_3) \)
which can be implemented as
\(f_{pr} (\xi_{3k}) = \sum_{k=0}^{nq_3} \psi_{pr}^b u(\bar
\eta_{1i},\xi_{2j},\xi_{3k}) J_{i,j,k} = {\bf B_3 U} \)
\(
g_{q} (\xi_{3k}) = \sum_{j=0}^{nq_1} \psi_{q}^a (\xi_{2j}) f_{pr}
(\xi_{3k}) = {\bf B_2 F} \)
\( (\phi_{pqr}, u)_{\delta} =
\sum_{k=0}^{nq_0} \psi_{p}^a (\xi_{3k}) g_{q} (\xi_{3k}) = {\bf B_1
G} \)
Implements Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 368 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eModified_B, Nektar::LibUtilities::eModified_C, Nektar::LibUtilities::eOrtho_B, Nektar::LibUtilities::eOrtho_C, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), and v_IProductWRTBase_SumFac().
Referenced by v_FwdTrans().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 389 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric().
Referenced by v_IProductWRTBase(), and Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTBase_SumFac().
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Implements Nektar::StdRegions::StdExpansion3D.
Definition at line 417 of file StdPrismExp.cpp.
References ASSERTL1, Blas::Ddot(), Blas::Dgemm(), Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), GetMode(), and Nektar::StdRegions::StdExpansion::m_base.
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Inner product of inarray over region with respect to the object's default expansion basis; output in outarray.
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 482 of file StdPrismExp.cpp.
References v_IProductWRTDerivBase_SumFac().
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overrideprotectedvirtual |
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 489 of file StdPrismExp.cpp.
References ASSERTL0, Nektar::StdRegions::StdExpansion3D::IProductWRTBase_SumFacKernel(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, Nektar::StdRegions::StdExpansion::MultiplyByQuadratureMetric(), Vmath::Smul(), Vmath::Vadd(), and Vmath::Vmul().
Referenced by v_IProductWRTDerivBase(), and Nektar::StdRegions::StdNodalPrismExp::v_IProductWRTDerivBase_SumFac().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 972 of file StdPrismExp.cpp.
References Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), and Nektar::StdRegions::StdExpansion::m_base.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 602 of file StdPrismExp.cpp.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 582 of file StdPrismExp.cpp.
References Nektar::NekConstants::kNekZeroTol.
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 1949 of file StdPrismExp.cpp.
References Blas::Dscal(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::StdExpansion::m_base, and Vmath::Vmul().
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 807 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::LibUtilities::StdPrismData::getNumberOfBndCoefficients(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::P.
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Implements Nektar::StdRegions::StdExpansion.
Definition at line 826 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::eModified_A, Nektar::LibUtilities::eModified_B, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::m_base, and Nektar::LibUtilities::P.
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Calculate the derivative of the physical points.
The derivative is evaluated at the nodal physical points. Derivatives with respect to the local Cartesian coordinates.
\(\begin{Bmatrix} \frac {\partial} {\partial \xi_1} \\ \frac {\partial} {\partial \xi_2} \\ \frac {\partial} {\partial \xi_3} \end{Bmatrix} = \begin{Bmatrix} \frac 2 {(1-\eta_3)} \frac \partial {\partial \bar \eta_1} \\ \frac {\partial} {\partial \xi_2} \ \ \frac {(1 + \bar \eta_1)} {(1 - \eta_3)} \frac \partial {\partial \bar \eta_1} + \frac {\partial} {\partial \eta_3} \end{Bmatrix}\)
Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 75 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::m_base, Nektar::NullNekDouble1DArray, Nektar::StdRegions::StdExpansion3D::PhysTensorDeriv(), Vmath::Smul(), and Vmath::Svtvp().
Referenced by v_PhysDeriv(), and v_StdPhysDeriv().
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Calculate the derivative of the physical points in a given direction.
Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 140 of file StdPrismExp.cpp.
References ASSERTL1, Nektar::NullNekDouble1DArray, and v_PhysDeriv().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 668 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion3D::BaryTensorDeriv(), Nektar::StdRegions::StdExpansion::GetBase(), Nektar::StdRegions::StdExpansion::GetTotPoints(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::PhysDeriv(), and Nektar::StdRegions::StdExpansion::PhysEvaluate().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 637 of file StdPrismExp.cpp.
References Nektar::LibUtilities::eModified_A, Nektar::StdRegions::StdExpansion::GetBasisType(), Nektar::StdRegions::StdExpansion::LocCoordToLocCollapsed(), Nektar::StdRegions::StdExpansion::m_base, and tinysimd::sqrt().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 2143 of file StdPrismExp.cpp.
References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdExpansion::m_base, Nektar::StdRegions::StdExpansion::m_ncoeffs, and Vmath::Vcopy().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 175 of file StdPrismExp.cpp.
References v_PhysDeriv().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Definition at line 183 of file StdPrismExp.cpp.
References v_PhysDeriv().
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Reimplemented from Nektar::StdRegions::StdExpansion.
Reimplemented in Nektar::LocalRegions::PrismExp.
Definition at line 2005 of file StdPrismExp.cpp.
References Nektar::StdRegions::StdExpansion::BwdTrans(), Nektar::StdRegions::StdMatrixKey::ConstFactorExists(), Nektar::StdRegions::eFactorSVVCutoffRatio, Nektar::StdRegions::eFactorSVVDGKerDiffCoeff, Nektar::StdRegions::eFactorSVVDiffCoeff, Nektar::StdRegions::eFactorSVVPowerKerDiffCoeff, Nektar::LibUtilities::eOrtho_A, Nektar::LibUtilities::eOrtho_B, Nektar::StdRegions::StdExpansion::FwdTrans(), Nektar::StdRegions::StdMatrixKey::GetConstFactor(), Nektar::StdRegions::StdExpansion::GetNcoeffs(), Nektar::StdRegions::StdExpansion::GetPointsType(), Nektar::StdRegions::kSVVDGFilter, Nektar::StdRegions::kSVVDGFiltermodesmax, Nektar::StdRegions::kSVVDGFiltermodesmin, and Nektar::StdRegions::StdExpansion::m_base.