Nektar::MultiRegions::ExpList3DHomogeneous1D Class Reference

Abstraction of a two-dimensional multi-elemental expansion which is merely a collection of local expansions. More...

#include <ExpList3DHomogeneous1D.h>

Inheritance diagram for Nektar::MultiRegions::ExpList3DHomogeneous1D:

Public Member Functions
	ExpList3DHomogeneous1D ()
	Default constructor. More...
	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing)
	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing, const SpatialDomains::MeshGraphSharedPtr &graph2D, const std::string &var="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Sets up a list of local expansions based on an input mesh. More...
	ExpList3DHomogeneous1D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lhom, const bool useFFT, const bool dealiasing, const SpatialDomains::ExpansionInfoMap &expansions, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Sets up a list of local expansions based on an mesh expansion. More...
	ExpList3DHomogeneous1D (const ExpList3DHomogeneous1D &In, const bool DeclarePlanesSetCoeffPhys=true)
	Copy constructor. More...
	ExpList3DHomogeneous1D (const ExpList3DHomogeneous1D &In, const std::vector< unsigned int > &eIDs, const bool DeclarePlanesSetCoeffPhys=true, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Constructor copying only elements defined in eIds. More...
	~ExpList3DHomogeneous1D () override
	Destructor. More...
Public Member Functions inherited from Nektar::MultiRegions::ExpListHomogeneous1D
	ExpListHomogeneous1D (const ExpansionType type)
	Default constructor. More...
	ExpListHomogeneous1D (const ExpansionType type, const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &HomoBasis, const NekDouble lz, const bool useFFT, const bool dealiasing)
	ExpListHomogeneous1D (const ExpListHomogeneous1D &In)
	Copy constructor. More...
	ExpListHomogeneous1D (const ExpListHomogeneous1D &In, const std::vector< unsigned int > &eIDs, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	~ExpListHomogeneous1D () override
	Destructor. More...
void	Homogeneous1DTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool IsForwards, bool Shuff=true, bool UnShuff=true)
LibUtilities::BasisSharedPtr	GetHomogeneousBasis (void)
void	PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
void	PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)
ExpListSharedPtr &	GetPlane (int n)
Public Member Functions inherited from Nektar::MultiRegions::ExpList
	ExpList (const ExpansionType Type=eNoType)
	The default constructor using a type. More...
	ExpList (const ExpList &in, const bool DeclareCoeffPhysArrays=true)
	The copy constructor. More...
	ExpList (const ExpList &in, const std::vector< unsigned int > &eIDs, const bool DeclareCoeffPhysArrays=true, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Constructor copying only elements defined in eIds. More...
	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays=true, const std::string &var="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Generate an ExpList from a meshgraph graph and session file. More...
	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::ExpansionInfoMap &expansions, const bool DeclareCoeffPhysArrays=true, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Sets up a list of local expansions based on an expansion Map. More...
	ExpList (const SpatialDomains::PointGeomSharedPtr &geom)
	Specialised constructors for 0D Expansions Wrapper around LocalRegion::PointExp - used in PrePacing.cpp. More...
	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const Array< OneD, const ExpListSharedPtr > &bndConstraint, const Array< OneD, const SpatialDomains ::BoundaryConditionShPtr > &bndCond, const LocalRegions::ExpansionVector &locexp, const SpatialDomains::MeshGraphSharedPtr &graph, const LibUtilities::CommSharedPtr &comm, const bool DeclareCoeffPhysArrays=true, const std::string variable="DefaultVar", const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Generate expansions for the trace space expansions used in DisContField. More...
	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const LocalRegions::ExpansionVector &locexp, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays, const std::string variable, const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Generate an trace ExpList from a meshgraph graph and session file. More...
	ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::CompositeMap &domain, const SpatialDomains::MeshGraphSharedPtr &graph, const bool DeclareCoeffPhysArrays=true, const std::string variable="DefaultVar", bool SetToOneSpaceDimension=false, const LibUtilities::CommSharedPtr comm=LibUtilities::CommSharedPtr(), const Collections::ImplementationType ImpType=Collections::eNoImpType)
	Constructor based on domain information only for 1D & 2D boundary conditions. More...
virtual	~ExpList ()
	The default destructor. More...
int	GetNcoeffs (void) const
	Returns the total number of local degrees of freedom \(N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_m\). More...
int	GetNcoeffs (const int eid) const
	Returns the total number of local degrees of freedom for element eid. More...
ExpansionType	GetExpType (void)
	Returns the type of the expansion. More...
void	SetExpType (ExpansionType Type)
	Returns the type of the expansion. More...
int	EvalBasisNumModesMax (void) const
	Evaulates the maximum number of modes in the elemental basis order over all elements. More...
const Array< OneD, int >	EvalBasisNumModesMaxPerExp (void) const
	Returns the vector of the number of modes in the elemental basis order over all elements. More...
int	GetTotPoints (void) const
	Returns the total number of quadrature points m_npoints \(=Q_{\mathrm{tot}}\). More...
int	GetTotPoints (const int eid) const
	Returns the total number of quadrature points for eid's element \(=Q_{\mathrm{tot}}\). More...
int	GetNpoints (void) const
	Returns the total number of quadrature points m_npoints \(=Q_{\mathrm{tot}}\). More...
int	Get1DScaledTotPoints (const NekDouble scale) const
	Returns the total number of qudature points scaled by the factor scale on each 1D direction. More...
void	SetWaveSpace (const bool wavespace)
	Sets the wave space to the one of the possible configuration true or false. More...
void	SetModifiedBasis (const bool modbasis)
	Set Modified Basis for the stability analysis. More...
bool	GetWaveSpace (void) const
	This function returns the third direction expansion condition, which can be in wave space (coefficient) or not It is stored in the variable m_WaveSpace. More...
void	SetPhys (int i, NekDouble val)
	Set the i th value of m_phys to value val. More...
void	SetPhys (const Array< OneD, const NekDouble > &inarray)
	Fills the array m_phys. More...
void	SetPhysArray (Array< OneD, NekDouble > &inarray)
	Sets the array m_phys. More...
void	SetPhysState (const bool physState)
	This function manually sets whether the array of physical values \(\boldsymbol{u}_l\) (implemented as m_phys) is filled or not. More...
bool	GetPhysState (void) const
	This function indicates whether the array of physical values \(\boldsymbol{u}_l\) (implemented as m_phys) is filled or not. More...
void	MultiplyByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	multiply the metric jacobi and quadrature weights More...
void	DivideByQuadratureMetric (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Divided by the metric jacobi and quadrature weights. More...
void	IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to all local expansion modes \(\phi_n^e(\boldsymbol{x})\). More...
void	IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to the derivative (in direction. More...
void	IProductWRTDirectionalDerivBase (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	Directional derivative along a given direction. More...
void	IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the inner product of a function \(f(\boldsymbol{x})\) with respect to the derivative of all local expansion modes \(\phi_n^e(\boldsymbol{x})\). More...
void	FwdTransLocalElmt (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally evaluates the forward transformation of a function \(u(\boldsymbol{x})\) onto the global spectral/hp expansion. More...
void	FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	ExponentialFilter (Array< OneD, NekDouble > &array, const NekDouble alpha, const NekDouble exponent, const NekDouble cutoff)
void	MultiplyByElmtInvMass (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally mulplies the coefficient space of Sin my the elemental inverse of the mass matrix. More...
void	MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	MultiplyByMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	SmoothField (Array< OneD, NekDouble > &field)
	Smooth a field across elements. More...
GlobalLinSysKey	HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const MultiRegions::VarFactorsMap &varfactors=MultiRegions::NullVarFactorsMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray, const bool PhysSpaceForcing=true)
	Solve helmholtz problem. More...
GlobalLinSysKey	LinearAdvectionDiffusionReactionSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const MultiRegions::VarFactorsMap &varfactors=MultiRegions::NullVarFactorsMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray, const bool PhysSpaceForcing=true)
	Solve Advection Diffusion Reaction. More...
void	LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
	Solve Advection Diffusion Reaction. More...
void	FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function elementally evaluates the backward transformation of the global spectral/hp element expansion. More...
void	GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)
	This function calculates the coordinates of all the elemental quadrature points \(\boldsymbol{x}_i\). More...
void	GetCoords (const int eid, Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)
void	HomogeneousFwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true)
void	HomogeneousBwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true)
void	DealiasedProd (const int num_dofs, const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray)
void	DealiasedDotProd (const int num_dofs, const Array< OneD, Array< OneD, NekDouble > > &inarray1, const Array< OneD, Array< OneD, NekDouble > > &inarray2, Array< OneD, Array< OneD, NekDouble > > &outarray)
void	GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID)
void	NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID)
void	NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray)
void	ApplyGeomInfo ()
	Apply geometry information to each expansion. More...
void	Reset ()
	Reset geometry information and reset matrices. More...
void	WriteTecplotHeader (std::ostream &outfile, std::string var="")
void	WriteTecplotZone (std::ostream &outfile, int expansion=-1)
void	WriteTecplotField (std::ostream &outfile, int expansion=-1)
void	WriteTecplotConnectivity (std::ostream &outfile, int expansion=-1)
void	WriteVtkHeader (std::ostream &outfile)
void	WriteVtkFooter (std::ostream &outfile)
void	WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip=0)
void	WriteVtkPieceFooter (std::ostream &outfile, int expansion)
void	WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var="v")
int	GetCoordim (int eid)
	This function returns the dimension of the coordinates of the element eid. More...
void	SetCoeff (int i, NekDouble val)
	Set the i th coefficiient in m_coeffs to value val. More...
void	SetCoeffs (int i, NekDouble val)
	Set the i th coefficiient in m_coeffs to value val. More...
void	SetCoeffsArray (Array< OneD, NekDouble > &inarray)
	Set the m_coeffs array to inarray. More...
int	GetShapeDimension ()
	This function returns the dimension of the shape of the element eid. More...
const Array< OneD, const NekDouble > &	GetCoeffs () const
	This function returns (a reference to) the array \(\boldsymbol{\hat{u}}_l\) (implemented as m_coeffs) containing all local expansion coefficients. More...
void	ImposeDirichletConditions (Array< OneD, NekDouble > &outarray)
	Impose Dirichlet Boundary Conditions onto Array. More...
void	FillBndCondFromField (const Array< OneD, NekDouble > coeffs)
	Fill Bnd Condition expansion from the values stored in expansion. More...
void	FillBndCondFromField (const int nreg, const Array< OneD, NekDouble > coeffs)
	Fill Bnd Condition expansion in nreg from the values stored in expansion. More...
void	LocalToGlobal (bool useComm=true)
	Gathers the global coefficients \(\boldsymbol{\hat{u}}_g\) from the local coefficients \(\boldsymbol{\hat{u}}_l\). More...
void	LocalToGlobal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool useComm=true)
void	GlobalToLocal (void)
	Scatters from the global coefficients \(\boldsymbol{\hat{u}}_g\) to the local coefficients \(\boldsymbol{\hat{u}}_l\). More...
void	GlobalToLocal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
NekDouble	GetCoeff (int i)
	Get the i th value (coefficient) of m_coeffs. More...
NekDouble	GetCoeffs (int i)
	Get the i th value (coefficient) of m_coeffs. More...
const Array< OneD, const NekDouble > &	GetPhys () const
	This function returns (a reference to) the array \(\boldsymbol{u}_l\) (implemented as m_phys) containing the function \(u^{\delta}(\boldsymbol{x})\) evaluated at the quadrature points. More...
NekDouble	Linf (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	This function calculates the \(L_\infty\) error of the global spectral/hp element approximation. More...
NekDouble	L2 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	This function calculates the \(L_\infty\) error of the global This function calculates the \(L_2\) error with respect to soln of the global spectral/hp element approximation. More...
NekDouble	H1 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
	Calculates the \(H^1\) error of the global spectral/hp element approximation. More...
NekDouble	Integral ()
	Calculates the \(H^1\) error of the global spectral/hp element approximation. More...
NekDouble	Integral (const Array< OneD, const NekDouble > &inarray)
NekDouble	VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &inarray)
Array< OneD, const NekDouble >	HomogeneousEnergy (void)
	This function calculates the energy associated with each one of the modesof a 3D homogeneous nD expansion. More...
void	SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc)
	This function sets the Spectral Vanishing Viscosity in homogeneous1D expansion. More...
Array< OneD, const unsigned int >	GetZIDs (void)
	This function returns a vector containing the wave numbers in z-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More...
LibUtilities::TranspositionSharedPtr	GetTransposition (void)
	This function returns the transposition class associated with the homogeneous expansion. More...
NekDouble	GetHomoLen (void)
	This function returns the Width of homogeneous direction associated with the homogeneous expansion. More...
void	SetHomoLen (const NekDouble lhom)
	This function sets the Width of homogeneous direction associated with the homogeneous expansion. More...
Array< OneD, const unsigned int >	GetYIDs (void)
	This function returns a vector containing the wave numbers in y-direction associated with the 3D homogenous expansion. Required if a parellelisation is applied in the Fourier direction. More...
void	PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function interpolates the physical space points in inarray to outarray using the same points defined in the expansion but where the number of points are rescaled by 1DScale. More...
void	PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function Galerkin projects the physical space points in inarray to outarray where inarray is assumed to be defined in the expansion but where the number of points are rescaled by 1DScale. More...
int	GetExpSize (void)
	This function returns the number of elements in the expansion. More...
size_t	GetNumElmts (void)
	This function returns the number of elements in the expansion which may be different for a homogeoenous extended expansionp. More...
const std::shared_ptr< LocalRegions::ExpansionVector >	GetExp () const
	This function returns the vector of elements in the expansion. More...
LocalRegions::ExpansionSharedPtr &	GetExp (int n) const
	This function returns (a shared pointer to) the local elemental expansion of the \(n^{\mathrm{th}}\) element. More...
LocalRegions::ExpansionSharedPtr &	GetExpFromGeomId (int n)
	This function returns (a shared pointer to) the local elemental expansion of the \(n^{\mathrm{th}}\) element given a global geometry ID. More...
LocalRegions::ExpansionSharedPtr &	GetExp (const Array< OneD, const NekDouble > &gloCoord)
	This function returns (a shared pointer to) the local elemental expansion containing the arbitrary point given by gloCoord. More...
int	GetExpIndex (const Array< OneD, const NekDouble > &gloCoord, NekDouble tol=0.0, bool returnNearestElmt=false, int cachedId=-1, NekDouble maxDistance=1e6)
	This function returns the index of the local elemental expansion containing the arbitrary point given by gloCoord, within a distance tolerance of tol. More...
int	GetExpIndex (const Array< OneD, const NekDouble > &gloCoords, Array< OneD, NekDouble > &locCoords, NekDouble tol=0.0, bool returnNearestElmt=false, int cachedId=-1, NekDouble maxDistance=1e6)
NekDouble	PhysEvaluate (const Array< OneD, const NekDouble > &coords, const Array< OneD, const NekDouble > &phys)
int	GetCoeff_Offset (int n) const
	Get the start offset position for a local contiguous list of coeffs correspoinding to element n. More...
int	GetPhys_Offset (int n) const
	Get the start offset position for a local contiguous list of quadrature points in a full array correspoinding to element n. More...
Array< OneD, NekDouble > &	UpdateCoeffs ()
	This function returns (a reference to) the array \(\boldsymbol{\hat{u}}_l\) (implemented as m_coeffs) containing all local expansion coefficients. More...
Array< OneD, NekDouble > &	UpdatePhys ()
	This function returns (a reference to) the array \(\boldsymbol{u}_l\) (implemented as m_phys) containing the function \(u^{\delta}(\boldsymbol{x})\) evaluated at the quadrature points. More...
void	PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)
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)
	This function discretely evaluates the derivative of a function \(f(\boldsymbol{x})\) on the domain consisting of all elements of the expansion. More...
void	PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)
void	Curl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q)
void	CurlCurl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q)
void	PhysDirectionalDeriv (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
void	GetMovingFrames (const SpatialDomains::GeomMMF MMFdir, const Array< OneD, const NekDouble > &CircCentre, Array< OneD, Array< OneD, NekDouble > > &outarray)
const Array< OneD, const std::shared_ptr< ExpList > > &	GetBndCondExpansions ()
const Array< OneD, const NekDouble > &	GetBndCondBwdWeight ()
	Get the weight value for boundary conditions. More...
void	SetBndCondBwdWeight (const int index, const NekDouble value)
	Set the weight value for boundary conditions. More...
std::shared_ptr< ExpList > &	UpdateBndCondExpansion (int i)
void	Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)
void	Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)
std::shared_ptr< ExpList > &	GetTrace ()
std::shared_ptr< AssemblyMapDG > &	GetTraceMap (void)
const Array< OneD, const int > &	GetTraceBndMap (void)
void	GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)
void	GetElmtNormalLength (Array< OneD, NekDouble > &lengthsFwd, Array< OneD, NekDouble > &lengthsBwd)
	Get the length of elements in boundary normal direction. More...
void	GetBwdWeight (Array< OneD, NekDouble > &weightAver, Array< OneD, NekDouble > &weightJump)
	Get the weight value for boundary conditions for boundary average and jump calculations. More...
void	AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
void	AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)
void	GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)
void	GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool FillBnd=true, bool PutFwdInBwdOnBCs=false, bool DoExchange=true)
void	FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool PutFwdInBwdOnBCs=false)
void	AddTraceQuadPhysToField (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field)
	Add Fwd and Bwd value to field, a reverse procedure of GetFwdBwdTracePhys. More...
void	AddTraceQuadPhysToOffDiag (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field)
void	GetLocTraceFromTracePts (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &locTraceFwd, Array< OneD, NekDouble > &locTraceBwd)
void	FillBwdWithBwdWeight (Array< OneD, NekDouble > &weightave, Array< OneD, NekDouble > &weightjmp)
	Fill Bwd with boundary conditions. More...
void	PeriodicBwdCopy (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)
	Copy and fill the Periodic boundaries. More...
const std::vector< bool > &	GetLeftAdjacentFaces (void) const
void	ExtractTracePhys (Array< OneD, NekDouble > &outarray)
void	ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &	GetBndConditions ()
Array< OneD, SpatialDomains::BoundaryConditionShPtr > &	UpdateBndConditions ()
void	EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble=NekConstants::kNekUnsetDouble, const NekDouble=NekConstants::kNekUnsetDouble)
void	GeneralMatrixOp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
	This function calculates the result of the multiplication of a matrix of type specified by mkey with a vector given by inarray. More...
void	SetUpPhysNormals ()
void	GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)
virtual void	GetBndElmtExpansion (int i, std::shared_ptr< ExpList > &result, const bool DeclareCoeffPhysArrays=true)
void	ExtractElmtToBndPhys (int i, const Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)
void	ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)
void	ExtractPhysToBnd (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bnd)
void	GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals)
void	GeneralGetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef, int NumHomoDir=0, Array< OneD, LibUtilities::BasisSharedPtr > &HomoBasis=LibUtilities::NullBasisSharedPtr1DArray, std::vector< NekDouble > &HomoLen=LibUtilities::NullNekDoubleVector, bool homoStrips=false, std::vector< unsigned int > &HomoSIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoZIDs=LibUtilities::NullUnsignedIntVector, std::vector< unsigned int > &HomoYIDs=LibUtilities::NullUnsignedIntVector)
std::map< int, RobinBCInfoSharedPtr >	GetRobinBCInfo ()
void	GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces=NullPeriodicMap)
std::vector< LibUtilities::FieldDefinitionsSharedPtr >	GetFieldDefinitions ()
void	GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef)
void	AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata)
	Append the element data listed in elements fielddef->m_ElementIDs onto fielddata. More...
void	AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs)
	Append the data in coeffs listed in elements fielddef->m_ElementIDs onto fielddata. More...
void	ExtractElmtDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs)
	Extract the data in fielddata into the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More...
void	ExtractCoeffsToCoeffs (const std::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs)
	Extract the data from fromField using fromExpList the coeffs using the basic ExpList Elemental expansions rather than planes in homogeneous case. More...
void	ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs, std::unordered_map< int, int > zIdToPlane=std::unordered_map< int, int >())
	Extract the data in fielddata into the coeffs. More...
void	ExtractCoeffsFromFile (const std::string &fileName, LibUtilities::CommSharedPtr comm, const std::string &varName, Array< OneD, NekDouble > &coeffs)
void	GenerateElementVector (const int ElementID, const NekDouble scalar1, const NekDouble scalar2, Array< OneD, NekDouble > &outarray)
	Generate vector v such that v[i] = scalar1 if i is in the element < ElementID. Otherwise, v[i] = scalar2. More...
std::shared_ptr< ExpList >	GetSharedThisPtr ()
	Returns a shared pointer to the current object. More...
std::shared_ptr< LibUtilities::SessionReader >	GetSession () const
	Returns the session object. More...
std::shared_ptr< LibUtilities::Comm >	GetComm () const
	Returns the comm object. More...
SpatialDomains::MeshGraphSharedPtr	GetGraph ()
LibUtilities::BasisSharedPtr	GetHomogeneousBasis (void)
std::shared_ptr< ExpList > &	GetPlane (int n)
void	CreateCollections (Collections::ImplementationType ImpType=Collections::eNoImpType)
	Construct collections of elements containing a single element type and polynomial order from the list of expansions. More...
void	ClearGlobalLinSysManager (void)
int	GetPoolCount (std::string)
void	UnsetGlobalLinSys (GlobalLinSysKey, bool)
LibUtilities::NekManager< GlobalLinSysKey, GlobalLinSys > &	GetGlobalLinSysManager (void)
const Array< OneD, const std::pair< int, int > > &	GetCoeffsToElmt () const
	Get m_coeffs to elemental value map. More...
void	AddTraceJacToElmtJac (const Array< OneD, const DNekMatSharedPtr > &FwdMat, const Array< OneD, const DNekMatSharedPtr > &BwdMat, Array< OneD, DNekMatSharedPtr > &fieldMat)
	inverse process of v_GetFwdBwdTracePhys. Given Trace integration of Fwd and Bwd Jacobian, with dimension NtotalTrace*TraceCoef*TracePhys. return Elemental Jacobian matrix with dimension NtotalElement*ElementCoef*ElementPhys. More...
void	GetMatIpwrtDeriveBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, const int nDirctn, Array< OneD, DNekMatSharedPtr > &mtxPerVar)
void	GetMatIpwrtDeriveBase (const TensorOfArray3D< NekDouble > &inarray, Array< OneD, DNekMatSharedPtr > &mtxPerVar)
void	GetDiagMatIpwrtBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, DNekMatSharedPtr > &mtxPerVar)
void	AddTraceIntegralToOffDiag (const Array< OneD, const NekDouble > &FwdFlux, const Array< OneD, const NekDouble > &BwdFlux, Array< OneD, NekDouble > &outarray)
void	AddRightIPTPhysDerivBase (const int dir, const Array< OneD, const DNekMatSharedPtr > ElmtJacQuad, Array< OneD, DNekMatSharedPtr > ElmtJacCoef)
void	AddRightIPTBaseMatrix (const Array< OneD, const DNekMatSharedPtr > ElmtJacQuad, Array< OneD, DNekMatSharedPtr > ElmtJacCoef)
const LocTraceToTraceMapSharedPtr &	GetLocTraceToTraceMap () const
std::vector< bool > &	GetLeftAdjacentTraces (void)
const std::unordered_map< int, int > &	GetElmtToExpId (void)
	This function returns the map of index inside m_exp to geom id. More...
int	GetElmtToExpId (int elmtId)
	This function returns the index inside m_exp for a given geom id. More...

Protected Member Functions
void	SetCoeffPhys (void)
	Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys. More...
void	v_GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1, Array< OneD, NekDouble > &coord_2) override
void	v_GetCoords (const int eid, Array< OneD, NekDouble > &xc0, Array< OneD, NekDouble > &xc1, Array< OneD, NekDouble > &xc2) final
void	v_WriteTecplotConnectivity (std::ostream &outfile, int expansion) override
void	v_WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip) override
NekDouble	v_L2 (const Array< OneD, const NekDouble > &inarray, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray) override
Array< OneD, const NekDouble >	v_HomogeneousEnergy (void) override
void	v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces) override
Protected Member Functions inherited from Nektar::MultiRegions::ExpListHomogeneous1D
DNekBlkMatSharedPtr	GenHomogeneous1DBlockMatrix (Homogeneous1DMatType mattype) const
DNekBlkMatSharedPtr	GetHomogeneous1DBlockMatrix (Homogeneous1DMatType mattype) const
NekDouble	GetSpecVanVisc (const int k)
void	v_SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc) override
size_t	v_GetNumElmts (void) override
LibUtilities::BasisSharedPtr	v_GetHomogeneousBasis (void) override
void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_FwdTransLocalElmt (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_FwdTransBndConstrained (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_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray) override
std::vector< LibUtilities::FieldDefinitionsSharedPtr >	v_GetFieldDefinitions (void) override
void	v_GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef) override
void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata) override
void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs) override
void	v_ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs, std::unordered_map< int, int > zIdToPlane) override
	Extract data from raw field data into expansion list. More...
void	v_ExtractCoeffsToCoeffs (const std::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs) override
void	v_WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var) override
void	v_PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray) override
void	v_HomogeneousFwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) override
void	v_HomogeneousBwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true) override
void	v_DealiasedProd (const int num_dofs, const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray) override
void	v_DealiasedDotProd (const int num_dofs, const Array< OneD, Array< OneD, NekDouble > > &inarray1, const Array< OneD, Array< OneD, NekDouble > > &inarray2, Array< OneD, Array< OneD, NekDouble > > &outarray) override
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
void	v_PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d) override
LibUtilities::TranspositionSharedPtr	v_GetTransposition (void) override
Array< OneD, const unsigned int >	v_GetZIDs (void) override
ExpListSharedPtr &	v_GetPlane (int n) override
NekDouble	v_GetHomoLen (void) override
void	v_SetHomoLen (const NekDouble lhom) override
NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray) override
Protected Member Functions inherited from Nektar::MultiRegions::ExpList
std::shared_ptr< DNekMat >	GenGlobalMatrixFull (const GlobalLinSysKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap)
const DNekScalBlkMatSharedPtr	GenBlockMatrix (const GlobalMatrixKey &gkey)
	This function assembles the block diagonal matrix of local matrices of the type mtype. More...
const DNekScalBlkMatSharedPtr &	GetBlockMatrix (const GlobalMatrixKey &gkey)
void	MultiplyByBlockMatrix (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
std::shared_ptr< GlobalMatrix >	GenGlobalMatrix (const GlobalMatrixKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap)
	Generates a global matrix from the given key and map. More...
void	GlobalEigenSystem (const std::shared_ptr< DNekMat > &Gmat, Array< OneD, NekDouble > &EigValsReal, Array< OneD, NekDouble > &EigValsImag, Array< OneD, NekDouble > &EigVecs=NullNekDouble1DArray)
std::shared_ptr< GlobalLinSys >	GenGlobalLinSys (const GlobalLinSysKey &mkey, const std::shared_ptr< AssemblyMapCG > &locToGloMap)
	This operation constructs the global linear system of type mkey. More...
std::shared_ptr< GlobalLinSys >	GenGlobalBndLinSys (const GlobalLinSysKey &mkey, const AssemblyMapSharedPtr &locToGloMap)
	Generate a GlobalLinSys from information provided by the key "mkey" and the mapping provided in LocToGloBaseMap. More...
virtual size_t	v_GetNumElmts (void)
virtual const Array< OneD, const std::shared_ptr< ExpList > > &	v_GetBndCondExpansions (void)
virtual const Array< OneD, const NekDouble > &	v_GetBndCondBwdWeight ()
virtual void	v_SetBndCondBwdWeight (const int index, const NekDouble value)
virtual std::shared_ptr< ExpList > &	v_UpdateBndCondExpansion (int i)
virtual void	v_Upwind (const Array< OneD, const Array< OneD, NekDouble > > &Vec, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)
virtual void	v_Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)
virtual std::shared_ptr< ExpList > &	v_GetTrace ()
virtual std::shared_ptr< AssemblyMapDG > &	v_GetTraceMap ()
virtual const Array< OneD, const int > &	v_GetTraceBndMap ()
virtual const std::shared_ptr< LocTraceToTraceMap > &	v_GetLocTraceToTraceMap (void) const
virtual std::vector< bool > &	v_GetLeftAdjacentTraces (void)
virtual void	v_GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)
	Populate normals with the normals of all expansions. More...
virtual void	v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fn, Array< OneD, NekDouble > &outarray)
virtual void	v_AddFwdBwdTraceIntegral (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &outarray)
virtual void	v_GetFwdBwdTracePhys (Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)
virtual void	v_GetFwdBwdTracePhys (const Array< OneD, const NekDouble > &field, Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool FillBnd=true, bool PutFwdInBwdOnBCs=false, bool DoExchange=true)
virtual void	v_FillBwdWithBoundCond (const Array< OneD, NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd, bool PutFwdInBwdOnBCs)
virtual void	v_AddTraceQuadPhysToField (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field)
virtual void	v_AddTraceQuadPhysToOffDiag (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &field)
virtual void	v_GetLocTraceFromTracePts (const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &locTraceFwd, Array< OneD, NekDouble > &locTraceBwd)
virtual void	v_FillBwdWithBwdWeight (Array< OneD, NekDouble > &weightave, Array< OneD, NekDouble > &weightjmp)
virtual void	v_PeriodicBwdCopy (const Array< OneD, const NekDouble > &Fwd, Array< OneD, NekDouble > &Bwd)
virtual const std::vector< bool > &	v_GetLeftAdjacentFaces (void) const
virtual void	v_ExtractTracePhys (Array< OneD, NekDouble > &outarray)
virtual void	v_ExtractTracePhys (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_MultiplyByInvMassMatrix (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual GlobalLinSysKey	v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing)
virtual GlobalLinSysKey	v_LinearAdvectionDiffusionReactionSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const MultiRegions::VarFactorsMap &varfactors, const Array< OneD, const NekDouble > &dirForcing, const bool PhysSpaceForcing)
virtual void	v_LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
virtual void	v_ImposeDirichletConditions (Array< OneD, NekDouble > &outarray)
virtual void	v_FillBndCondFromField (const Array< OneD, NekDouble > coeffs)
virtual void	v_FillBndCondFromField (const int nreg, const Array< OneD, NekDouble > coeffs)
virtual void	v_Reset ()
	Reset geometry information, metrics, matrix managers and geometry information. More...
virtual void	v_LocalToGlobal (bool UseComm)
virtual void	v_LocalToGlobal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool UseComm)
virtual void	v_GlobalToLocal (void)
virtual void	v_GlobalToLocal (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_FwdTransLocalElmt (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_FwdTransBndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_SmoothField (Array< OneD, NekDouble > &field)
virtual void	v_IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_IProductWRTDerivBase (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_IProductWRTDerivBase (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1=NullNekDouble1DArray, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)
virtual void	v_GetCoords (const int eid, Array< OneD, NekDouble > &xc0, Array< OneD, NekDouble > &xc1, Array< OneD, NekDouble > &xc2)
virtual void	v_PhysDeriv (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d0, Array< OneD, NekDouble > &out_d1, Array< OneD, NekDouble > &out_d2)
virtual void	v_PhysDeriv (const int dir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)
virtual void	v_PhysDeriv (Direction edir, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &out_d)
virtual void	v_Curl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q)
virtual void	v_CurlCurl (Array< OneD, Array< OneD, NekDouble > > &Vel, Array< OneD, Array< OneD, NekDouble > > &Q)
virtual void	v_PhysDirectionalDeriv (const Array< OneD, const NekDouble > &direction, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_GetMovingFrames (const SpatialDomains::GeomMMF MMFdir, const Array< OneD, const NekDouble > &CircCentre, Array< OneD, Array< OneD, NekDouble > > &outarray)
virtual void	v_HomogeneousFwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true)
virtual void	v_HomogeneousBwdTrans (const int npts, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, bool Shuff=true, bool UnShuff=true)
virtual void	v_DealiasedProd (const int num_dofs, const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray)
virtual void	v_DealiasedDotProd (const int num_dofs, const Array< OneD, Array< OneD, NekDouble > > &inarray1, const Array< OneD, Array< OneD, NekDouble > > &inarray2, Array< OneD, Array< OneD, NekDouble > > &outarray)
virtual void	v_GetBCValues (Array< OneD, NekDouble > &BndVals, const Array< OneD, NekDouble > &TotField, int BndID)
virtual void	v_NormVectorIProductWRTBase (Array< OneD, const NekDouble > &V1, Array< OneD, const NekDouble > &V2, Array< OneD, NekDouble > &outarray, int BndID)
virtual void	v_NormVectorIProductWRTBase (Array< OneD, Array< OneD, NekDouble > > &V, Array< OneD, NekDouble > &outarray)
virtual void	v_SetUpPhysNormals ()
	: Set up a normal along the trace elements between two elements at elemental level More...
virtual void	v_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)
virtual void	v_GetBndElmtExpansion (int i, std::shared_ptr< ExpList > &result, const bool DeclareCoeffPhysArrays)
virtual void	v_ExtractElmtToBndPhys (const int i, const Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)
virtual void	v_ExtractPhysToBndElmt (const int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)
virtual void	v_ExtractPhysToBnd (const int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bnd)
virtual void	v_GetBoundaryNormals (int i, Array< OneD, Array< OneD, NekDouble > > &normals)
virtual std::vector< LibUtilities::FieldDefinitionsSharedPtr >	v_GetFieldDefinitions (void)
virtual void	v_GetFieldDefinitions (std::vector< LibUtilities::FieldDefinitionsSharedPtr > &fielddef)
virtual void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata)
virtual void	v_AppendFieldData (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, Array< OneD, NekDouble > &coeffs)
virtual void	v_ExtractDataToCoeffs (LibUtilities::FieldDefinitionsSharedPtr &fielddef, std::vector< NekDouble > &fielddata, std::string &field, Array< OneD, NekDouble > &coeffs, std::unordered_map< int, int > zIdToPlane)
	Extract data from raw field data into expansion list. More...
virtual void	v_ExtractCoeffsToCoeffs (const std::shared_ptr< ExpList > &fromExpList, const Array< OneD, const NekDouble > &fromCoeffs, Array< OneD, NekDouble > &toCoeffs)
virtual void	v_WriteTecplotHeader (std::ostream &outfile, std::string var="")
virtual void	v_WriteTecplotZone (std::ostream &outfile, int expansion)
virtual void	v_WriteTecplotField (std::ostream &outfile, int expansion)
virtual void	v_WriteTecplotConnectivity (std::ostream &outfile, int expansion)
virtual void	v_WriteVtkPieceData (std::ostream &outfile, int expansion, std::string var)
virtual void	v_WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip)
virtual NekDouble	v_L2 (const Array< OneD, const NekDouble > &phys, const Array< OneD, const NekDouble > &soln=NullNekDouble1DArray)
virtual NekDouble	v_Integral (const Array< OneD, const NekDouble > &inarray)
virtual NekDouble	v_VectorFlux (const Array< OneD, Array< OneD, NekDouble > > &inarray)
virtual Array< OneD, const NekDouble >	v_HomogeneousEnergy (void)
virtual LibUtilities::TranspositionSharedPtr	v_GetTransposition (void)
virtual NekDouble	v_GetHomoLen (void)
virtual void	v_SetHomoLen (const NekDouble lhom)
virtual Array< OneD, const unsigned int >	v_GetZIDs (void)
virtual Array< OneD, const unsigned int >	v_GetYIDs (void)
virtual void	v_PhysInterp1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_PhysGalerkinProjection1DScaled (const NekDouble scale, const Array< OneD, NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
virtual void	v_ClearGlobalLinSysManager (void)
virtual int	v_GetPoolCount (std::string)
virtual void	v_UnsetGlobalLinSys (GlobalLinSysKey, bool)
virtual LibUtilities::NekManager< GlobalLinSysKey, GlobalLinSys > &	v_GetGlobalLinSysManager (void)
void	ExtractFileBCs (const std::string &fileName, LibUtilities::CommSharedPtr comm, const std::string &varName, const std::shared_ptr< ExpList > locExpList)
virtual const Array< OneD, const SpatialDomains::BoundaryConditionShPtr > &	v_GetBndConditions ()
virtual Array< OneD, SpatialDomains::BoundaryConditionShPtr > &	v_UpdateBndConditions ()
virtual void	v_EvaluateBoundaryConditions (const NekDouble time=0.0, const std::string varName="", const NekDouble x2_in=NekConstants::kNekUnsetDouble, const NekDouble x3_in=NekConstants::kNekUnsetDouble)
virtual std::map< int, RobinBCInfoSharedPtr >	v_GetRobinBCInfo (void)
virtual void	v_GetPeriodicEntities (PeriodicMap &periodicVerts, PeriodicMap &periodicEdges, PeriodicMap &periodicFaces)
virtual LibUtilities::BasisSharedPtr	v_GetHomogeneousBasis (void)
virtual void	v_SetHomo1DSpecVanVisc (Array< OneD, NekDouble > visc)
virtual std::shared_ptr< ExpList > &	v_GetPlane (int n)
virtual void	v_AddTraceIntegralToOffDiag (const Array< OneD, const NekDouble > &FwdFlux, const Array< OneD, const NekDouble > &BwdFlux, Array< OneD, NekDouble > &outarray)

Private Member Functions
void	GenExpList3DHomogeneous1D (const SpatialDomains::ExpansionInfoMap &expansions, const Collections::ImplementationType ImpType)

Additional Inherited Members
Public Attributes inherited from Nektar::MultiRegions::ExpListHomogeneous1D
LibUtilities::TranspositionSharedPtr	m_transposition
LibUtilities::CommSharedPtr	m_StripZcomm
Static Protected Member Functions inherited from Nektar::MultiRegions::ExpList
static SpatialDomains::BoundaryConditionShPtr	GetBoundaryCondition (const SpatialDomains::BoundaryConditionCollection &collection, unsigned int index, const std::string &variable)
Protected Attributes inherited from Nektar::MultiRegions::ExpListHomogeneous1D
bool	m_useFFT
	FFT variables. More...
LibUtilities::NektarFFTSharedPtr	m_FFT
LibUtilities::NektarFFTSharedPtr	m_FFT_deal
Array< OneD, NekDouble >	m_tmpIN
Array< OneD, NekDouble >	m_tmpOUT
LibUtilities::BasisSharedPtr	m_homogeneousBasis
	Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys. More...
NekDouble	m_lhom
	Width of homogeneous direction. More...
Homo1DBlockMatrixMapShPtr	m_homogeneous1DBlockMat
Array< OneD, ExpListSharedPtr >	m_planes
Protected Attributes inherited from Nektar::MultiRegions::ExpList
ExpansionType	m_expType
	Exapnsion type. More...
LibUtilities::CommSharedPtr	m_comm
	Communicator. More...
LibUtilities::SessionReaderSharedPtr	m_session
	Session. More...
SpatialDomains::MeshGraphSharedPtr	m_graph
	Mesh associated with this expansion list. More...
int	m_ncoeffs
	The total number of local degrees of freedom. m_ncoeffs \(=N_{\mathrm{eof}}=\sum_{e=1}^{{N_{\mathrm{el}}}}N^{e}_l\). More...
int	m_npoints
Array< OneD, NekDouble >	m_coeffs
	Concatenation of all local expansion coefficients. More...
Array< OneD, NekDouble >	m_phys
	The global expansion evaluated at the quadrature points. More...
bool	m_physState
	The state of the array m_phys. More...
std::shared_ptr< LocalRegions::ExpansionVector >	m_exp
	The list of local expansions. More...
Collections::CollectionVector	m_collections
std::vector< bool >	m_collectionsDoInit
	Vector of bools to act as an initialise on first call flag. More...
std::vector< int >	m_coll_coeff_offset
	Offset of elemental data into the array m_coeffs. More...
std::vector< int >	m_coll_phys_offset
	Offset of elemental data into the array m_phys. More...
Array< OneD, int >	m_coeff_offset
	Offset of elemental data into the array m_coeffs. More...
Array< OneD, int >	m_phys_offset
	Offset of elemental data into the array m_phys. More...
Array< OneD, std::pair< int, int > >	m_coeffsToElmt
	m_coeffs to elemental value map More...
BlockMatrixMapShPtr	m_blockMat
bool	m_WaveSpace
std::unordered_map< int, int >	m_elmtToExpId
	Mapping from geometry ID of element to index inside m_exp. More...

Detailed Description

Abstraction of a two-dimensional multi-elemental expansion which is merely a collection of local expansions.

Definition at line 57 of file ExpList3DHomogeneous1D.h.

Constructor & Destructor Documentation

ExpList3DHomogeneous1D() [1/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D

(

)

Default constructor.

Definition at line 44 of file ExpList3DHomogeneous1D.cpp.

                                               : ExpListHomogeneous1D(e3DH1D)
{
}

ExpList3DHomogeneous1D() [2/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing
	)

Definition at line 48 of file ExpList3DHomogeneous1D.cpp.

    : ExpListHomogeneous1D(e3DH1D, pSession, HomoBasis, lhom, useFFT,
                           dealiasing)
{
}

ExpList3DHomogeneous1D() [3/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing,
		const SpatialDomains::MeshGraphSharedPtr &	graph2D,
		const std::string &	var = "DefaultVar",
		const Collections::ImplementationType	ImpType = Collections::eNoImpType
	)

Sets up a list of local expansions based on an input mesh.

Definition at line 58 of file ExpList3DHomogeneous1D.cpp.

    : ExpListHomogeneous1D(e3DH1D, pSession, HomoBasis, lhom, useFFT,
                           dealiasing)
{
    GenExpList3DHomogeneous1D(graph2D->GetExpansionInfo(var), ImpType);
    m_expType = e3DH1D;
    m_graph   = graph2D;
}

References Nektar::MultiRegions::e3DH1D, GenExpList3DHomogeneous1D(), Nektar::MultiRegions::ExpList::m_expType, and Nektar::MultiRegions::ExpList::m_graph.

ExpList3DHomogeneous1D() [4/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const LibUtilities::SessionReaderSharedPtr &	pSession,
		const LibUtilities::BasisKey &	HomoBasis,
		const NekDouble	lhom,
		const bool	useFFT,
		const bool	dealiasing,
		const SpatialDomains::ExpansionInfoMap &	expansions,
		const Collections::ImplementationType	ImpType = Collections::eNoImpType
	)

Sets up a list of local expansions based on an mesh expansion.

Definition at line 73 of file ExpList3DHomogeneous1D.cpp.

    : ExpListHomogeneous1D(e3DH1D, pSession, HomoBasis, lhom, useFFT,
                           dealiasing)
{
    GenExpList3DHomogeneous1D(expansions, ImpType);
}

References GenExpList3DHomogeneous1D().

ExpList3DHomogeneous1D() [5/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const ExpList3DHomogeneous1D &	In,
		const bool	DeclarePlanesSetCoeffPhys = true
	)

Copy constructor.

Parameters

In	ExpList3DHomogeneous1D object to copy.

Definition at line 121 of file ExpList3DHomogeneous1D.cpp.

    : ExpListHomogeneous1D(In)
{
    if (DeclarePlanesSetCoeffPhys)
    {
        bool False = false;
        ExpListSharedPtr zero_plane =
            std::dynamic_pointer_cast<ExpList>(In.m_planes[0]);
 
        for (int n = 0; n < m_planes.size(); ++n)
        {
            m_planes[n] =
                MemoryManager<ExpList>::AllocateSharedPtr(*zero_plane, False);
        }
 
        SetCoeffPhys();
    }
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, and SetCoeffPhys().

ExpList3DHomogeneous1D() [6/6]

Nektar::MultiRegions::ExpList3DHomogeneous1D::ExpList3DHomogeneous1D	(	const ExpList3DHomogeneous1D &	In,
		const std::vector< unsigned int > &	eIDs,
		const bool	DeclarePlanesSetCoeffPhys = true,
		const Collections::ImplementationType	ImpType = Collections::eNoImpType
	)

Constructor copying only elements defined in eIds.

Parameters

In	ExpList3DHomogeneous1D object to copy.
eIDs	Id of elements that should be copied.

Definition at line 145 of file ExpList3DHomogeneous1D.cpp.

    : ExpListHomogeneous1D(In, eIDs, ImpType)
{
    if (DeclarePlanesSetCoeffPhys)
    {
        bool False = false;
        std::vector<unsigned int> eIDsPlane;
        int nel = eIDs.size() / m_planes.size();
 
        for (int i = 0; i < nel; ++i)
        {
            eIDsPlane.push_back(eIDs[i]);
        }
 
        ExpListSharedPtr zero_plane_old =
            std::dynamic_pointer_cast<ExpList>(In.m_planes[0]);
 
        ExpListSharedPtr zero_plane = MemoryManager<ExpList>::AllocateSharedPtr(
            *(zero_plane_old), eIDsPlane, DeclarePlanesSetCoeffPhys, ImpType);
 
        for (int n = 0; n < m_planes.size(); ++n)
        {
            m_planes[n] =
                MemoryManager<ExpList>::AllocateSharedPtr(*zero_plane, False);
        }
 
        SetCoeffPhys();
    }
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, and SetCoeffPhys().

~ExpList3DHomogeneous1D()

Nektar::MultiRegions::ExpList3DHomogeneous1D::~ExpList3DHomogeneous1D ( )

override

Destructor.

Destructor

Definition at line 181 of file ExpList3DHomogeneous1D.cpp.

{
}

Member Function Documentation

GenExpList3DHomogeneous1D()

void Nektar::MultiRegions::ExpList3DHomogeneous1D::GenExpList3DHomogeneous1D ( const SpatialDomains::ExpansionInfoMap &  expansions, const Collections::ImplementationType  ImpType  )

private

Definition at line 85 of file ExpList3DHomogeneous1D.cpp.

{
    int n, j, nel;
    bool False = false;
    ExpListSharedPtr plane_zero;
 
    // note that nzplanes can be larger than nzmodes
    m_planes[0] = plane_zero = MemoryManager<ExpList>::AllocateSharedPtr(
        m_session, expansions, false, ImpType);
 
    m_exp = MemoryManager<LocalRegions::ExpansionVector>::AllocateSharedPtr();
    nel   = m_planes[0]->GetExpSize();
 
    for (j = 0; j < nel; ++j)
    {
        (*m_exp).push_back(m_planes[0]->GetExp(j));
    }
 
    for (n = 1; n < m_planes.size(); ++n)
    {
        m_planes[n] =
            MemoryManager<ExpList>::AllocateSharedPtr(*plane_zero, False);
        for (j = 0; j < nel; ++j)
        {
            (*m_exp).push_back((*m_exp)[j]);
        }
    }
 
    SetCoeffPhys();
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::GetExp(), Nektar::MultiRegions::ExpList::m_exp, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpList::m_session, and SetCoeffPhys().

Referenced by ExpList3DHomogeneous1D().

SetCoeffPhys()

void Nektar::MultiRegions::ExpList3DHomogeneous1D::SetCoeffPhys ( void  )

protected

Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m_coeff and m_phys.

Definition at line 185 of file ExpList3DHomogeneous1D.cpp.

{
    int i, n, cnt;
    int ncoeffs_per_plane = m_planes[0]->GetNcoeffs();
    int npoints_per_plane = m_planes[0]->GetTotPoints();
 
    int nzplanes = m_planes.size();
 
    // Set total coefficients and points
    m_ncoeffs = ncoeffs_per_plane * nzplanes;
    m_npoints = npoints_per_plane * nzplanes;
 
    m_coeffs = Array<OneD, NekDouble>(m_ncoeffs, 0.0);
    m_phys   = Array<OneD, NekDouble>(m_npoints, 0.0);
 
    int nel        = m_planes[0]->GetExpSize();
    m_coeff_offset = Array<OneD, int>(nel * nzplanes);
    m_phys_offset  = Array<OneD, int>(nel * nzplanes);
    Array<OneD, NekDouble> tmparray;
 
    for (cnt = n = 0; n < nzplanes; ++n)
    {
        m_planes[n]->SetCoeffsArray(tmparray =
                                        m_coeffs + ncoeffs_per_plane * n);
        m_planes[n]->SetPhysArray(tmparray = m_phys + npoints_per_plane * n);
 
        for (i = 0; i < nel; ++i)
        {
            m_coeff_offset[cnt] =
                m_planes[n]->GetCoeff_Offset(i) + n * ncoeffs_per_plane;
            m_phys_offset[cnt++] =
                m_planes[n]->GetPhys_Offset(i) + n * npoints_per_plane;
        }
    }
}

References Nektar::MultiRegions::ExpList::m_coeff_offset, Nektar::MultiRegions::ExpList::m_coeffs, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Nektar::MultiRegions::ExpList::m_phys, Nektar::MultiRegions::ExpList::m_phys_offset, and Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

Referenced by Nektar::MultiRegions::ContField3DHomogeneous1D::ContField3DHomogeneous1D(), Nektar::MultiRegions::DisContField3DHomogeneous1D::DisContField3DHomogeneous1D(), ExpList3DHomogeneous1D(), and GenExpList3DHomogeneous1D().

v_GetCoords() [1/2]

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_GetCoords ( Array< OneD, NekDouble > &  xc0, Array< OneD, NekDouble > &  xc1, Array< OneD, NekDouble > &  xc2  )

overrideprotectedvirtual

The operation calls the 2D plane coordinates through the function ExpList::GetCoords and then evaluated the third coordinate using the member m_lhom

Parameters

coord_0	After calculation, the \(x_1\) coordinate will be stored in this array.
coord_1	After calculation, the \(x_2\) coordinate will be stored in this array.
coord_2	After calculation, the \(x_3\) coordinate will be stored in this array. This coordinate is evaluated using the predefined value m_lhom

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 275 of file ExpList3DHomogeneous1D.cpp.

{
    int n;
    Array<OneD, NekDouble> tmp_xc;
    int nzplanes = m_planes.size();
    int npoints  = m_planes[0]->GetTotPoints();
 
    m_planes[0]->GetCoords(xc0, xc1);
 
    // Fill z-direction
    Array<OneD, const NekDouble> pts = m_homogeneousBasis->GetZ();
 
    Array<OneD, NekDouble> local_pts(m_planes.size());
 
    for (n = 0; n < m_planes.size(); n++)
    {
        local_pts[n] = pts[m_transposition->GetPlaneID(n)];
    }
 
    Array<OneD, NekDouble> z(nzplanes);
 
    Vmath::Smul(nzplanes, m_lhom / 2.0, local_pts, 1, z, 1);
    Vmath::Sadd(nzplanes, m_lhom / 2.0, z, 1, z, 1);
 
    for (n = 0; n < nzplanes; ++n)
    {
        Vmath::Fill(npoints, z[n], tmp_xc = xc2 + npoints * n, 1);
        if (n)
        {
            Vmath::Vcopy(npoints, xc0, 1, tmp_xc = xc0 + npoints * n, 1);
            Vmath::Vcopy(npoints, xc1, 1, tmp_xc = xc1 + npoints * n, 1);
        }
    }
}

References Vmath::Fill(), Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Vmath::Sadd(), Vmath::Smul(), Vmath::Vcopy(), and Nektar::UnitTests::z().

Referenced by v_WriteVtkPieceHeader().

v_GetCoords() [2/2]

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_GetCoords ( const int  eid, Array< OneD, NekDouble > &  xc0, Array< OneD, NekDouble > &  xc1, Array< OneD, NekDouble > &  xc2  )

finalprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 222 of file ExpList3DHomogeneous1D.cpp.

{
    int n;
    Array<OneD, NekDouble> tmp_xc;
    int nzplanes = m_planes.size();
    int npoints  = GetTotPoints(eid);
 
    (*m_exp)[eid]->GetCoords(xc0, xc1);
 
    // Fill z-direction
    Array<OneD, const NekDouble> pts = m_homogeneousBasis->GetZ();
    Array<OneD, NekDouble> local_pts(m_planes.size());
 
    for (n = 0; n < m_planes.size(); n++)
    {
        local_pts[n] = pts[m_transposition->GetPlaneID(n)];
    }
 
    Array<OneD, NekDouble> z(nzplanes);
 
    Vmath::Smul(nzplanes, m_lhom / 2.0, local_pts, 1, z, 1);
    Vmath::Sadd(nzplanes, m_lhom / 2.0, z, 1, z, 1);
 
    for (n = 0; n < nzplanes; ++n)
    {
        Vmath::Fill(npoints, z[n], tmp_xc = xc2 + npoints * n, 1);
        if (n)
        {
            Vmath::Vcopy(npoints, xc0, 1, tmp_xc = xc0 + npoints * n, 1);
            Vmath::Vcopy(npoints, xc1, 1, tmp_xc = xc1 + npoints * n, 1);
        }
    }
}

References Vmath::Fill(), Nektar::MultiRegions::ExpList::GetTotPoints(), Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Vmath::Sadd(), Vmath::Smul(), Vmath::Vcopy(), and Nektar::UnitTests::z().

v_GetPeriodicEntities()

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_GetPeriodicEntities ( PeriodicMap &  periodicVerts, PeriodicMap &  periodicEdges, PeriodicMap &  periodicFaces  )

inlineoverrideprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 129 of file ExpList3DHomogeneous1D.h.

    {
        m_planes[0]->GetPeriodicEntities(periodicVerts, periodicEdges);
    }

References Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

v_HomogeneousEnergy()

Array< OneD, const NekDouble > Nektar::MultiRegions::ExpList3DHomogeneous1D::v_HomogeneousEnergy ( void  )

overrideprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 501 of file ExpList3DHomogeneous1D.cpp.

{
    Array<OneD, NekDouble> energy(m_planes.size() / 2);
    NekDouble area = 0.0;
 
    // Calculate total area of elements.
    for (int n = 0; n < m_planes[0]->GetExpSize(); ++n)
    {
        Array<OneD, NekDouble> inarray(m_planes[0]->GetExp(n)->GetTotPoints(),
                                       1.0);
        area += m_planes[0]->GetExp(n)->Integral(inarray);
    }
 
    m_comm->GetRowComm()->AllReduce(area, LibUtilities::ReduceSum);
 
    // Calculate L2 norm of real/imaginary planes.
    for (int n = 0; n < m_planes.size(); n += 2)
    {
        NekDouble err;
 
        energy[n / 2] = 0;
 
        for (int i = 0; i < m_planes[n]->GetExpSize(); ++i)
        {
            LocalRegions::ExpansionSharedPtr exp = m_planes[n]->GetExp(i);
            Array<OneD, NekDouble> phys(exp->GetTotPoints());
            exp->BwdTrans(m_planes[n]->GetCoeffs() +
                              m_planes[n]->GetCoeff_Offset(i),
                          phys);
            err = exp->L2(phys);
            energy[n / 2] += err * err;
 
            exp = m_planes[n + 1]->GetExp(i);
            exp->BwdTrans(m_planes[n + 1]->GetCoeffs() +
                              m_planes[n + 1]->GetCoeff_Offset(i),
                          phys);
            err = exp->L2(phys);
            energy[n / 2] += err * err;
        }
 
        m_comm->GetRowComm()->AllReduce(energy[n / 2], LibUtilities::ReduceSum);
        energy[n / 2] /= 2.0 * area;
    }
 
    return energy;
}

References Nektar::MultiRegions::ExpList::GetCoeff_Offset(), Nektar::MultiRegions::ExpList::GetCoeffs(), Nektar::MultiRegions::ExpList::GetExp(), Nektar::MultiRegions::ExpList::GetTotPoints(), Nektar::MultiRegions::ExpList::m_comm, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, and Nektar::LibUtilities::ReduceSum.

v_L2()

NekDouble Nektar::MultiRegions::ExpList3DHomogeneous1D::v_L2 ( const Array< OneD, const NekDouble > &  inarray, const Array< OneD, const NekDouble > &  soln = NullNekDouble1DArray  )

overrideprotectedvirtual

Given a spectral/hp approximation \(u^{\delta}(\boldsymbol{x})\) evaluated at the quadrature points (which should be contained in m_phys), this function calculates the \(L_2\) error of this approximation with respect to an exact solution. The local distribution of the quadrature points allows an elemental evaluation of this operation through the functions StdRegions::StdExpansion::L2.

The exact solution, also evaluated at the quadrature points, should be contained in the variable m_phys of the ExpList object Sol.

Parameters

Sol	An ExpList, containing the discrete evaluation of the exact solution at the quadrature points in its array m_phys.

Returns

The \(L_2\) error of the approximation.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 464 of file ExpList3DHomogeneous1D.cpp.

{
    int cnt = 0;
    NekDouble errL2, err = 0.0;
    Array<OneD, const NekDouble> w = m_homogeneousBasis->GetW();
    Array<OneD, NekDouble> local_w(m_planes.size());
 
    for (int n = 0; n < m_planes.size(); n++)
    {
        local_w[n] = w[m_transposition->GetPlaneID(n)];
    }
 
    if (soln == NullNekDouble1DArray)
    {
        for (int n = 0; n < m_planes.size(); ++n)
        {
            errL2 = m_planes[n]->L2(inarray + cnt);
            cnt += m_planes[n]->GetTotPoints();
            err += errL2 * errL2 * local_w[n] * m_lhom * 0.5;
        }
    }
    else
    {
        for (int n = 0; n < m_planes.size(); ++n)
        {
            errL2 = m_planes[n]->L2(inarray + cnt, soln + cnt);
            cnt += m_planes[n]->GetTotPoints();
            err += errL2 * errL2 * local_w[n] * m_lhom * 0.5;
        }
    }
    m_comm->GetColumnComm()->AllReduce(err, LibUtilities::ReduceSum);
 
    return sqrt(err);
}

References Nektar::MultiRegions::ExpList::m_comm, Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_lhom, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpListHomogeneous1D::m_transposition, Nektar::NullNekDouble1DArray, Nektar::LibUtilities::ReduceSum, tinysimd::sqrt(), and Nektar::UnitTests::w().

v_WriteTecplotConnectivity()

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_WriteTecplotConnectivity ( std::ostream &  outfile, int  expansion  )

overrideprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 312 of file ExpList3DHomogeneous1D.cpp.

{
    ASSERTL0(expansion == -1,
             "Multi-zone output not supported for homogeneous expansions.");
 
    const int nPtsPlane = m_planes[0]->GetNpoints();
    const int nElmt     = m_planes[0]->GetExpSize();
    const int nPlanes   = m_planes.size();
 
    for (int i = 0, cnt = 0; i < nElmt; ++i)
    {
        const int np0 = (*m_exp)[i]->GetNumPoints(0);
        const int np1 = (*m_exp)[i]->GetNumPoints(1);
 
        for (int n = 1; n < nPlanes; ++n)
        {
            const int o1 = (n - 1) * nPtsPlane;
            const int o2 = n * nPtsPlane;
            for (int j = 1; j < np1; ++j)
            {
                for (int k = 1; k < np0; ++k)
                {
                    outfile << cnt + (j - 1) * np0 + (k - 1) + o1 + 1 << " ";
                    outfile << cnt + (j - 1) * np0 + (k - 1) + o2 + 1 << " ";
                    outfile << cnt + (j - 1) * np0 + k + o2 + 1 << " ";
                    outfile << cnt + (j - 1) * np0 + k + o1 + 1 << " ";
                    outfile << cnt + j * np0 + (k - 1) + o1 + 1 << " ";
                    outfile << cnt + j * np0 + (k - 1) + o2 + 1 << " ";
                    outfile << cnt + j * np0 + k + o2 + 1 << " ";
                    outfile << cnt + j * np0 + k + o1 + 1 << endl;
                }
            }
        }
 
        cnt += np0 * np1;
    }
}

References ASSERTL0, and Nektar::MultiRegions::ExpListHomogeneous1D::m_planes.

v_WriteVtkPieceHeader()

void Nektar::MultiRegions::ExpList3DHomogeneous1D::v_WriteVtkPieceHeader ( std::ostream &  outfile, int  expansion, int  istrip  )

overrideprotectedvirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 351 of file ExpList3DHomogeneous1D.cpp.

{
    // If there is only one plane (e.g. HalfMode), we write a 2D plane.
    if (m_planes.size() == 1)
    {
        m_planes[0]->WriteVtkPieceHeader(outfile, expansion);
        return;
    }
 
    // If we are using Fourier points, output extra plane to fill domain
    int outputExtraPlane = 0;
    if (m_homogeneousBasis->GetBasisType() == LibUtilities::eFourier &&
        m_homogeneousBasis->GetPointsType() ==
            LibUtilities::eFourierEvenlySpaced)
    {
        outputExtraPlane = 1;
    }
 
    int i, j, k;
    int nq0       = (*m_exp)[expansion]->GetNumPoints(0);
    int nq1       = (*m_exp)[expansion]->GetNumPoints(1);
    int nq2       = m_planes.size() + outputExtraPlane;
    int ntot      = nq0 * nq1 * nq2;
    int ntotminus = (nq0 - 1) * (nq1 - 1) * (nq2 - 1);
 
    Array<OneD, NekDouble> coords[3];
    coords[0] = Array<OneD, NekDouble>(ntot);
    coords[1] = Array<OneD, NekDouble>(ntot);
    coords[2] = Array<OneD, NekDouble>(ntot);
    v_GetCoords(expansion, coords[0], coords[1], coords[2]);
 
    if (outputExtraPlane)
    {
        // Copy coords[0] and coords[1] to extra plane
        Array<OneD, NekDouble> tmp;
        Vmath::Vcopy(nq0 * nq1, coords[0], 1,
                     tmp = coords[0] + (nq2 - 1) * nq0 * nq1, 1);
        Vmath::Vcopy(nq0 * nq1, coords[1], 1,
                     tmp = coords[1] + (nq2 - 1) * nq0 * nq1, 1);
        // Fill coords[2] for extra plane
        NekDouble z = coords[2][nq0 * nq1 * m_planes.size() - 1] +
                      (coords[2][nq0 * nq1] - coords[2][0]);
        Vmath::Fill(nq0 * nq1, z, tmp = coords[2] + (nq2 - 1) * nq0 * nq1, 1);
    }
 
    NekDouble DistStrip;
    m_session->LoadParameter("DistStrip", DistStrip, 0);
    // Reset the z-coords for homostrips
    for (int i = 0; i < ntot; i++)
    {
        coords[2][i] += istrip * DistStrip;
    }
 
    outfile << "    <Piece NumberOfPoints=\"" << ntot << "\" NumberOfCells=\""
            << ntotminus << "\">" << endl;
    outfile << "      <Points>" << endl;
    outfile << "        <DataArray type=\"Float64\" "
            << R"(NumberOfComponents="3" format="ascii">)" << endl;
    outfile << "          ";
    for (i = 0; i < ntot; ++i)
    {
        for (j = 0; j < 3; ++j)
        {
            outfile << coords[j][i] << " ";
        }
        outfile << endl;
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "      </Points>" << endl;
    outfile << "      <Cells>" << endl;
    outfile << "        <DataArray type=\"Int32\" "
            << R"(Name="connectivity" format="ascii">)" << endl;
    for (i = 0; i < nq0 - 1; ++i)
    {
        for (j = 0; j < nq1 - 1; ++j)
        {
            for (k = 0; k < nq2 - 1; ++k)
            {
                outfile << k * nq0 * nq1 + j * nq0 + i << " "
                        << k * nq0 * nq1 + j * nq0 + i + 1 << " "
                        << k * nq0 * nq1 + (j + 1) * nq0 + i + 1 << " "
                        << k * nq0 * nq1 + (j + 1) * nq0 + i << " "
                        << (k + 1) * nq0 * nq1 + j * nq0 + i << " "
                        << (k + 1) * nq0 * nq1 + j * nq0 + i + 1 << " "
                        << (k + 1) * nq0 * nq1 + (j + 1) * nq0 + i + 1 << " "
                        << (k + 1) * nq0 * nq1 + (j + 1) * nq0 + i << endl;
            }
        }
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "        <DataArray type=\"Int32\" "
            << R"(Name="offsets" format="ascii">)" << endl;
    for (i = 0; i < ntotminus; ++i)
    {
        outfile << i * 8 + 8 << " ";
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "        <DataArray type=\"UInt8\" "
            << R"(Name="types" format="ascii">)" << endl;
    for (i = 0; i < ntotminus; ++i)
    {
        outfile << "12 ";
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "      </Cells>" << endl;
    outfile << "      <PointData>" << endl;
}

References Nektar::LibUtilities::eFourier, Nektar::LibUtilities::eFourierEvenlySpaced, Vmath::Fill(), Nektar::MultiRegions::ExpListHomogeneous1D::m_homogeneousBasis, Nektar::MultiRegions::ExpListHomogeneous1D::m_planes, Nektar::MultiRegions::ExpList::m_session, v_GetCoords(), Vmath::Vcopy(), and Nektar::UnitTests::z().