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Nektar::MultiRegions::ExpList3D Class Reference

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

#include <ExpList3D.h>

Inheritance diagram for Nektar::MultiRegions::ExpList3D:
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Public Member Functions

 ExpList3D ()
 Default constructor. More...
 
 ExpList3D (const ExpList3D &In)
 Copy constructor. More...
 
 ExpList3D (const ExpList3D &In, const std::vector< unsigned int > &eIDs)
 Constructor copying only elements defined in eIds. More...
 
 ExpList3D (const LibUtilities::SessionReaderSharedPtr &pSession, const LibUtilities::BasisKey &TBa, const LibUtilities::BasisKey &TBb, const LibUtilities::BasisKey &TBc, const LibUtilities::BasisKey &HBa, const LibUtilities::BasisKey &HBb, const LibUtilities::BasisKey &HBc, const SpatialDomains::MeshGraphSharedPtr &graph3D, const LibUtilities::PointsType TetNb=LibUtilities::SIZE_PointsType)
 
 ExpList3D (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &graph3D, const std::string &variable="DefaultVar")
 Sets up a list of local expansions based on an input mesh. More...
 
 ExpList3D (const SpatialDomains::ExpansionMap &expansions)
 Sets up a list of local expansions based on an expansion vector. More...
 
virtual ~ExpList3D ()
 Destructor. More...
 
- Public Member Functions inherited from Nektar::MultiRegions::ExpList
 ExpList ()
 The default constructor. More...
 
 ExpList (const LibUtilities::SessionReaderSharedPtr &pSession)
 The default constructor. More...
 
 ExpList (const LibUtilities::SessionReaderSharedPtr &pSession, const SpatialDomains::MeshGraphSharedPtr &pGraph)
 The default constructor. More...
 
 ExpList (const ExpList &in, const std::vector< unsigned int > &eIDs, const bool DeclareCoeffPhysArrays=true)
 Constructor copying only elements defined in eIds. More...
 
 ExpList (const ExpList &in, const bool DeclareCoeffPhysArrays=true)
 The copy constructor. 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...
 
void SetPhys (int i, NekDouble val)
 Set the i th value of m_phys to value val. 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 (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...
 
NekDouble PhysIntegral (void)
 This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion. More...
 
NekDouble PhysIntegral (const Array< OneD, const NekDouble > &inarray)
 This function integrates a function $f(\boldsymbol{x})$ over the domain consisting of all the elements of the expansion. More...
 
void IProductWRTBase_IterPerExp (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 IProductWRTBase (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)
 
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 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 (in direction. More...
 
void FwdTrans_IterPerExp (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, CoeffState coeffstate=eLocal)
 
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, CoeffState coeffstate=eLocal)
 
void SmoothField (Array< OneD, NekDouble > &field)
 Smooth a field across elements. More...
 
void HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const FlagList &flags, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff=StdRegions::NullVarCoeffMap, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
 Solve helmholtz problem. More...
 
void LinearAdvectionDiffusionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
 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, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
 Solve Advection Diffusion Reaction. More...
 
void FwdTrans_BndConstrained (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void BwdTrans_IterPerExp (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 BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)
 
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 HomogeneousFwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)
 
void HomogeneousBwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)
 
void DealiasedProd (const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)
 
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...
 
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 (void)
 Fill Bnd Condition expansion from the values stored in expansion. More...
 
void LocalToGlobal (void)
 Put the coefficients into global ordering using m_coeffs. More...
 
void GlobalToLocal (void)
 Put the coefficients into local ordering and place in m_coeffs. More...
 
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 $L_2$ 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 (const Array< OneD, const NekDouble > &inarray)
 
Array< OneD, const NekDoubleHomogeneousEnergy (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 associaed with the homogeneous expansion. More...
 
NekDouble GetHomoLen (void)
 This function returns the Width of homogeneous direction associaed 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...
 
int GetNumElmts (void)
 This function returns the number of elements in the expansion which may be different for a homogeoenous extended expansionp. More...
 
const boost::shared_ptr
< LocalRegions::ExpansionVector
GetExp () const
 This function returns the vector of elements in the expansion. More...
 
LocalRegions::ExpansionSharedPtrGetExp (int n) const
 This function returns (a shared pointer to) the local elemental expansion of the $n^{\mathrm{th}}$ element. More...
 
LocalRegions::ExpansionSharedPtrGetExp (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 GetExpIndex (const Array< OneD, const NekDouble > &gloCoords, Array< OneD, NekDouble > &locCoords, NekDouble tol=0.0, bool returnNearestElmt=false)
 
int GetCoeff_Offset (int n) const
 Get the start offset position for a global list of m_coeffs correspoinding to element n. More...
 
int GetPhys_Offset (int n) const
 Get the start offset position for a global list of m_phys correspoinding to element n. More...
 
int GetOffset_Elmt_Id (int n) const
 Get the element id associated with the n th consecutive block of data in m_phys and m_coeffs. 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)
 
const Array< OneD, const
boost::shared_ptr< ExpList > > & 
GetBndCondExpansions ()
 
boost::shared_ptr< ExpList > & UpdateBndCondExpansion (int i)
 
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)
 
void Upwind (const Array< OneD, const NekDouble > &Vn, const Array< OneD, const NekDouble > &Fwd, const Array< OneD, const NekDouble > &Bwd, Array< OneD, NekDouble > &Upwind)
 
boost::shared_ptr< ExpList > & GetTrace ()
 
boost::shared_ptr
< AssemblyMapDG > & 
GetTraceMap (void)
 
const Array< OneD, const int > & GetTraceBndMap (void)
 
void GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)
 
void AddTraceIntegral (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
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)
 
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, CoeffState coeffstate=eLocal)
 This function calculates the result of the multiplication of a matrix of type specified by mkey with a vector given by inarray. More...
 
void GeneralMatrixOp_IterPerExp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
void SetUpPhysNormals ()
 
void GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)
 
void GetBndElmtExpansion (int i, boost::shared_ptr< ExpList > &result)
 
void ExtractElmtToBndPhys (int i, Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)
 
void ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)
 
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)
 
const
NekOptimize::GlobalOptParamSharedPtr
GetGlobalOptParam (void)
 
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 boost::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)
 Extract the data in fielddata into the coeffs. More...
 
boost::shared_ptr< ExpListGetSharedThisPtr ()
 Returns a shared pointer to the current object. More...
 
boost::shared_ptr
< LibUtilities::SessionReader
GetSession ()
 Returns the session object. More...
 
boost::shared_ptr
< LibUtilities::Comm
GetComm ()
 Returns the comm object. More...
 
SpatialDomains::MeshGraphSharedPtr GetGraph ()
 
LibUtilities::BasisSharedPtr GetHomogeneousBasis (void)
 
boost::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)
 

Protected Member Functions

virtual void v_SetUpPhysNormals ()
 Set up the normals on each expansion. More...
 
- Protected Member Functions inherited from Nektar::MultiRegions::ExpList
boost::shared_ptr< DNekMatGenGlobalMatrixFull (const GlobalLinSysKey &mkey, const boost::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 DNekScalBlkMatSharedPtrGetBlockMatrix (const GlobalMatrixKey &gkey)
 
void MultiplyByBlockMatrix (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
boost::shared_ptr< GlobalMatrixGenGlobalMatrix (const GlobalMatrixKey &mkey, const boost::shared_ptr< AssemblyMapCG > &locToGloMap)
 Generates a global matrix from the given key and map. More...
 
void GlobalEigenSystem (const boost::shared_ptr< DNekMat > &Gmat, Array< OneD, NekDouble > &EigValsReal, Array< OneD, NekDouble > &EigValsImag, Array< OneD, NekDouble > &EigVecs=NullNekDouble1DArray)
 
boost::shared_ptr< GlobalLinSysGenGlobalLinSys (const GlobalLinSysKey &mkey, const boost::shared_ptr< AssemblyMapCG > &locToGloMap)
 This operation constructs the global linear system of type mkey. More...
 
boost::shared_ptr< GlobalLinSysGenGlobalBndLinSys (const GlobalLinSysKey &mkey, const AssemblyMapSharedPtr &locToGloMap)
 Generate a GlobalLinSys from information provided by the key "mkey" and the mapping provided in LocToGloBaseMap. More...
 
void ReadGlobalOptimizationParameters ()
 
virtual int v_GetNumElmts (void)
 
virtual const Array< OneD,
const boost::shared_ptr
< ExpList > > & 
v_GetBndCondExpansions (void)
 
virtual boost::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 boost::shared_ptr
< ExpList > & 
v_GetTrace ()
 
virtual boost::shared_ptr
< AssemblyMapDG > & 
v_GetTraceMap ()
 
virtual const Array< OneD,
const int > & 
v_GetTraceBndMap ()
 
virtual void v_GetNormals (Array< OneD, Array< OneD, NekDouble > > &normals)
 
virtual void v_AddTraceIntegral (const Array< OneD, const NekDouble > &Fx, const Array< OneD, const NekDouble > &Fy, Array< OneD, NekDouble > &outarray)
 
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)
 
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, CoeffState coeffstate)
 
virtual void v_HelmSolve (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const FlagList &flags, const StdRegions::ConstFactorMap &factors, const StdRegions::VarCoeffMap &varcoeff, const Array< OneD, const NekDouble > &dirForcing)
 
virtual void v_LinearAdvectionDiffusionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
 
virtual void v_LinearAdvectionReactionSolve (const Array< OneD, Array< OneD, NekDouble > > &velocity, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, const NekDouble lambda, CoeffState coeffstate=eLocal, const Array< OneD, const NekDouble > &dirForcing=NullNekDouble1DArray)
 
virtual void v_ImposeDirichletConditions (Array< OneD, NekDouble > &outarray)
 
virtual void v_FillBndCondFromField ()
 
virtual void v_Reset ()
 Reset geometry information, metrics, matrix managers and geometry information. More...
 
virtual void v_LocalToGlobal (void)
 
virtual void v_GlobalToLocal (void)
 
virtual void v_BwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)
 
virtual void v_BwdTrans_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_FwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)
 
virtual void v_FwdTrans_IterPerExp (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, CoeffState coeffstate)
 
virtual void v_IProductWRTBase_IterPerExp (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray)
 
virtual void v_GeneralMatrixOp (const GlobalMatrixKey &gkey, const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate)
 
virtual void v_GetCoords (Array< OneD, NekDouble > &coord_0, Array< OneD, NekDouble > &coord_1, Array< OneD, NekDouble > &coord_2=NullNekDouble1DArray)
 
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_HomogeneousFwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)
 
virtual void v_HomogeneousBwdTrans (const Array< OneD, const NekDouble > &inarray, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal, bool Shuff=true, bool UnShuff=true)
 
virtual void v_DealiasedProd (const Array< OneD, NekDouble > &inarray1, const Array< OneD, NekDouble > &inarray2, Array< OneD, NekDouble > &outarray, CoeffState coeffstate=eLocal)
 
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_GetBoundaryToElmtMap (Array< OneD, int > &ElmtID, Array< OneD, int > &EdgeID)
 
virtual void v_GetBndElmtExpansion (int i, boost::shared_ptr< ExpList > &result)
 
virtual void v_ExtractElmtToBndPhys (int i, Array< OneD, NekDouble > &elmt, Array< OneD, NekDouble > &boundary)
 
virtual void v_ExtractPhysToBndElmt (int i, const Array< OneD, const NekDouble > &phys, Array< OneD, NekDouble > &bndElmt)
 
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)
 Extract data from raw field data into expansion list. More...
 
virtual void v_ExtractCoeffsToCoeffs (const boost::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 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 Array< OneD, const
NekDouble
v_HomogeneousEnergy (void)
 
virtual
LibUtilities::TranspositionSharedPtr 
v_GetTransposition (void)
 
virtual NekDouble v_GetHomoLen (void)
 
virtual Array< OneD, const
unsigned int > 
v_GetZIDs (void)
 
virtual Array< OneD, const
unsigned int > 
v_GetYIDs (void)
 
virtual void v_ClearGlobalLinSysManager (void)
 
void ExtractFileBCs (const std::string &fileName, const std::string &varName, const boost::shared_ptr< ExpList > locExpList)
 

Private 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...
 
virtual void v_ReadGlobalOptimizationParameters ()
 
virtual void v_WriteVtkPieceHeader (std::ostream &outfile, int expansion, int istrip)
 
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)
 

Additional Inherited Members

- Public Attributes inherited from Nektar::MultiRegions::ExpList
ExpansionType m_expType
 
- 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::ExpList
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, NekDoublem_coeffs
 Concatenation of all local expansion coefficients. More...
 
Array< OneD, NekDoublem_phys
 The global expansion evaluated at the quadrature points. More...
 
bool m_physState
 The state of the array m_phys. More...
 
boost::shared_ptr
< LocalRegions::ExpansionVector
m_exp
 The list of local expansions. More...
 
Collections::CollectionVector m_collections
 
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, int > m_offset_elmt_id
 Array containing the element id m_offset_elmt_id[n] that the n^th consecutive block of data in m_coeffs and m_phys is associated, i.e. for an array of constant expansion size and single shape elements m_phys[n*m_npoints] is the data related to m_exp[m_offset_elmt_id[n]];. More...
 
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
 
BlockMatrixMapShPtr m_blockMat
 
bool m_WaveSpace
 

Detailed Description

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

Definition at line 49 of file ExpList3D.h.

Constructor & Destructor Documentation

Nektar::MultiRegions::ExpList3D::ExpList3D ( )

Default constructor.

Definition at line 54 of file ExpList3D.cpp.

References Nektar::MultiRegions::e3D, and Nektar::MultiRegions::ExpList::SetExpType().

54  : ExpList()
55  {
56  SetExpType(e3D);
57  }
ExpList()
The default constructor.
Definition: ExpList.cpp:95
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
Nektar::MultiRegions::ExpList3D::ExpList3D ( const ExpList3D In)

Copy constructor.

Definition at line 59 of file ExpList3D.cpp.

References Nektar::MultiRegions::e3D, and Nektar::MultiRegions::ExpList::SetExpType().

59  : ExpList(In)
60  {
61  SetExpType(e3D);
62  }
ExpList()
The default constructor.
Definition: ExpList.cpp:95
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
Nektar::MultiRegions::ExpList3D::ExpList3D ( const ExpList3D In,
const std::vector< unsigned int > &  eIDs 
)

Constructor copying only elements defined in eIds.

Definition at line 64 of file ExpList3D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::MultiRegions::ExpList::CreateCollections(), Nektar::MultiRegions::e3D, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_globalOptParam, Nektar::MultiRegions::ExpList::ReadGlobalOptimizationParameters(), SetCoeffPhys(), and Nektar::MultiRegions::ExpList::SetExpType().

65  : ExpList(In, eIDs)
66  {
67  SetExpType(e3D);
68 
69  // Setup Default optimisation information.
70  int nel = GetExpSize();
73 
74  SetCoeffPhys();
75 
78  }
ExpList()
The default constructor.
Definition: ExpList.cpp:95
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
Definition: ExpList.h:1001
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
void CreateCollections(Collections::ImplementationType ImpType=Collections::eNoImpType)
Construct collections of elements containing a single element type and polynomial order from the list...
Definition: ExpList.cpp:2952
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
void SetCoeffPhys(void)
Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m...
Definition: ExpList3D.cpp:442
Nektar::MultiRegions::ExpList3D::ExpList3D ( const LibUtilities::SessionReaderSharedPtr pSession,
const LibUtilities::BasisKey TBa,
const LibUtilities::BasisKey TBb,
const LibUtilities::BasisKey TBc,
const LibUtilities::BasisKey HBa,
const LibUtilities::BasisKey HBb,
const LibUtilities::BasisKey HBc,
const SpatialDomains::MeshGraphSharedPtr graph3D,
const LibUtilities::PointsType  TetNb = LibUtilities::SIZE_PointsType 
)

Definition at line 85 of file ExpList3D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::MultiRegions::ExpList::CreateCollections(), Nektar::MultiRegions::e3D, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::LibUtilities::StdTetData::getNumberOfCoefficients(), Nektar::LibUtilities::BasisKey::GetNumModes(), Nektar::LibUtilities::BasisKey::GetNumPoints(), Nektar::MultiRegions::ExpList::m_globalOptParam, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Nektar::MultiRegions::ExpList::ReadGlobalOptimizationParameters(), SetCoeffPhys(), Nektar::MultiRegions::ExpList::SetExpType(), and Nektar::LibUtilities::SIZE_PointsType.

93  :
94  ExpList(pSession,graph3D)
95  {
96  SetExpType(e3D);
97 
102 
103  const SpatialDomains::ExpansionMap &expansions = graph3D->GetExpansions();
104 
105  SpatialDomains::ExpansionMap::const_iterator expIt;
106  for (expIt = expansions.begin(); expIt != expansions.end(); ++expIt)
107  {
112 
113  if((TetGeom = boost::dynamic_pointer_cast<SpatialDomains::TetGeom>(expIt->second->m_geomShPtr)))
114  {
116  {
117 // Ntet = MemoryManager<LocalRegions::NodalTetExp>::AllocateSharedPtr(TetBa,TetBb,TetBc,TetNb,TetGeom);
118 // (*m_exp).push_back(Ntet);
119  }
120  else
121  {
123  (*m_exp).push_back(tet);
124  }
125 
126  m_ncoeffs += LibUtilities::StdTetData::getNumberOfCoefficients(TBa.GetNumModes(), TBb.GetNumModes(), TBc.GetNumModes());
127 
128  m_npoints += TBa.GetNumPoints()*TBb.GetNumPoints()*TBc.GetNumPoints();
129  }
130 /*
131  else if((PrismGeom = boost::dynamic_pointer_cast<SpatialDomains::PrismGeom>(expansions[i]->m_geomShPtr)))
132  {
133  prism = MemoryManager<LocalRegions::PrismExp>::AllocateSharedPtr(Ba,Bb,Bc,PrismGeom);
134  (*m_exp).push_back(prism);
135 
136  m_ncoeffs += StdRegions::StdPrismData::getNumberOfCoefficients(Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes());
137  m_npoints += Ba.GetNumPoints()*Bb.GetNumPoints()*Bc.GetNumPoints();
138 
139  }
140  else if((PyrGeom = boost::dynamic_pointer_cast<SpatialDomains::PyrGeom>(expansions[i]->m_geomShPtr)))
141  {
142  pyramid = MemoryManager<LocalRegions::PyrExp>::AllocateSharedPtr(Ba,Bb,Bc,PyrGeom);
143  (*m_exp).push_back(pyramid);
144 
145  m_ncoeffs += StdRegions::StdPyrData::getNumberOfCoefficients(Ba.GetNumModes(), Bb.GetNumModes(), Bc.GetNumModes());
146  m_npoints += Ba.GetNumPoints()*Bb.GetNumPoints()*Bc.GetNumPoints();
147 
148  }
149 */
150  else if((HexGeom = boost::dynamic_pointer_cast<SpatialDomains::HexGeom>(expIt->second->m_geomShPtr)))
151  {
152  hex = MemoryManager<LocalRegions::HexExp>::AllocateSharedPtr(HBa,HBb,HBc, HexGeom);
153  (*m_exp).push_back(hex);
154 
155  m_ncoeffs += HBa.GetNumModes()*HBb.GetNumModes()*HBc.GetNumModes();
156  m_npoints += HBa.GetNumPoints()*HBb.GetNumPoints()*HBc.GetNumPoints();
157  }
158  else
159  {
160  ASSERTL0(false,"dynamic cast to a proper Geometry3D failed");
161  }
162 
163  }
164 
165  // Setup Default optimisation information.
166  int nel = GetExpSize();
169 
170  SetCoeffPhys();
171 
174  }
boost::shared_ptr< PyrGeom > PyrGeomSharedPtr
Definition: PyrGeom.h:84
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
ExpList()
The default constructor.
Definition: ExpList.cpp:95
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
Definition: ExpList.h:1001
boost::shared_ptr< HexExp > HexExpSharedPtr
Definition: HexExp.h:57
boost::shared_ptr< HexGeom > HexGeomSharedPtr
Definition: HexGeom.h:110
int getNumberOfCoefficients(int Na, int Nb, int Nc)
Definition: ShapeType.hpp:186
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< TetExp > TetExpSharedPtr
Definition: TetExp.h:223
boost::shared_ptr< PyrExp > PyrExpSharedPtr
Definition: PyrExp.h:161
int m_ncoeffs
The total number of local degrees of freedom. m_ncoeffs .
Definition: ExpList.h:917
boost::shared_ptr< PrismExp > PrismExpSharedPtr
Definition: PrismExp.h:217
boost::shared_ptr< PrismGeom > PrismGeomSharedPtr
Definition: PrismGeom.h:109
boost::shared_ptr< TetGeom > TetGeomSharedPtr
Definition: TetGeom.h:106
void CreateCollections(Collections::ImplementationType ImpType=Collections::eNoImpType)
Construct collections of elements containing a single element type and polynomial order from the list...
Definition: ExpList.cpp:2952
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
void SetCoeffPhys(void)
Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m...
Definition: ExpList3D.cpp:442
std::map< int, ExpansionShPtr > ExpansionMap
Definition: MeshGraph.h:174
Nektar::MultiRegions::ExpList3D::ExpList3D ( const LibUtilities::SessionReaderSharedPtr pSession,
const SpatialDomains::MeshGraphSharedPtr graph3D,
const std::string &  variable = "DefaultVar" 
)

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

Given a mesh graph3D, containing information about the domain and the spectral/hp element expansion, this constructor fills the list of local expansions {m_exp} with the proper expansions, calculates the total number of quadrature points $\boldsymbol{x}_i$ and the local expansion coefficients $\hat{u}^e_n$ and allocates memory for the arrays m_coeffs and m_phys.

Parameters
graph3DA mesh, containing information about the domain and the spectral/hp element expansion.

Definition at line 188 of file ExpList3D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::MultiRegions::ExpList::CreateCollections(), Nektar::MultiRegions::e3D, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::BasisKey::GetBasisType(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_globalOptParam, Nektar::MultiRegions::ExpList::ReadGlobalOptimizationParameters(), SetCoeffPhys(), and Nektar::MultiRegions::ExpList::SetExpType().

190  :
191  ExpList(pSession,graph3D)
192  {
193  SetExpType(e3D);
194 
195  int elmtid = 0;
200 
201  const SpatialDomains::ExpansionMap &expansions
202  = graph3D->GetExpansions(variable);
203 
204  SpatialDomains::ExpansionMap::const_iterator expIt;
205  for (expIt = expansions.begin(); expIt != expansions.end(); ++expIt)
206  {
211 
212  if((TetGeom = boost::dynamic_pointer_cast<
213  SpatialDomains::TetGeom>(expIt->second->m_geomShPtr)))
214  {
215  LibUtilities::BasisKey TetBa
216  = expIt->second->m_basisKeyVector[0];
217  LibUtilities::BasisKey TetBb
218  = expIt->second->m_basisKeyVector[1];
219  LibUtilities::BasisKey TetBc
220  = expIt->second->m_basisKeyVector[2];
221 
222  if(TetBa.GetBasisType() == LibUtilities::eGLL_Lagrange ||
223  TetBa.GetBasisType() == LibUtilities::eGauss_Lagrange)
224  {
225  ASSERTL0(false,"LocalRegions::NodalTetExp is not "
226  "implemented yet");
227  }
228  else
229  {
231  ::AllocateSharedPtr(TetBa,TetBb,TetBc,
232  TetGeom);
233  tet->SetElmtId(elmtid++);
234  (*m_exp).push_back(tet);
235  }
236  }
237  else if((PrismGeom = boost::dynamic_pointer_cast<SpatialDomains
238  ::PrismGeom>(expIt->second->m_geomShPtr)))
239  {
240  LibUtilities::BasisKey PrismBa
241  = expIt->second->m_basisKeyVector[0];
242  LibUtilities::BasisKey PrismBb
243  = expIt->second->m_basisKeyVector[1];
244  LibUtilities::BasisKey PrismBc
245  = expIt->second->m_basisKeyVector[2];
246 
248  ::AllocateSharedPtr(PrismBa,PrismBb,
249  PrismBc,PrismGeom);
250  prism->SetElmtId(elmtid++);
251  (*m_exp).push_back(prism);
252  }
253  else if((PyrGeom = boost::dynamic_pointer_cast<
254  SpatialDomains::PyrGeom>(expIt->second->m_geomShPtr)))
255  {
256  LibUtilities::BasisKey PyrBa
257  = expIt->second->m_basisKeyVector[0];
258  LibUtilities::BasisKey PyrBb
259  = expIt->second->m_basisKeyVector[1];
260  LibUtilities::BasisKey PyrBc
261  = expIt->second->m_basisKeyVector[2];
262 
264  ::AllocateSharedPtr(PyrBa,PyrBb,PyrBc,
265  PyrGeom);
266  pyramid->SetElmtId(elmtid++);
267  (*m_exp).push_back(pyramid);
268  }
269  else if((HexGeom = boost::dynamic_pointer_cast<
270  SpatialDomains::HexGeom>(expIt->second->m_geomShPtr)))
271  {
272  LibUtilities::BasisKey HexBa
273  = expIt->second->m_basisKeyVector[0];
274  LibUtilities::BasisKey HexBb
275  = expIt->second->m_basisKeyVector[1];
276  LibUtilities::BasisKey HexBc
277  = expIt->second->m_basisKeyVector[2];
278 
280  ::AllocateSharedPtr(HexBa,HexBb,HexBc,
281  HexGeom);
282  hex->SetElmtId(elmtid++);
283  (*m_exp).push_back(hex);
284  }
285  else
286  {
287  ASSERTL0(false,"dynamic cast to a proper Geometry3D "
288  "failed");
289  }
290 
291  }
292 
293  // Setup Default optimisation information.
294  int nel = GetExpSize();
297 
298  SetCoeffPhys();
301  }
boost::shared_ptr< PyrGeom > PyrGeomSharedPtr
Definition: PyrGeom.h:84
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
ExpList()
The default constructor.
Definition: ExpList.cpp:95
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
Definition: ExpList.h:1001
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
boost::shared_ptr< HexExp > HexExpSharedPtr
Definition: HexExp.h:57
boost::shared_ptr< HexGeom > HexGeomSharedPtr
Definition: HexGeom.h:110
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< TetExp > TetExpSharedPtr
Definition: TetExp.h:223
boost::shared_ptr< PyrExp > PyrExpSharedPtr
Definition: PyrExp.h:161
boost::shared_ptr< PrismExp > PrismExpSharedPtr
Definition: PrismExp.h:217
boost::shared_ptr< PrismGeom > PrismGeomSharedPtr
Definition: PrismGeom.h:109
boost::shared_ptr< TetGeom > TetGeomSharedPtr
Definition: TetGeom.h:106
void CreateCollections(Collections::ImplementationType ImpType=Collections::eNoImpType)
Construct collections of elements containing a single element type and polynomial order from the list...
Definition: ExpList.cpp:2952
Lagrange for SEM basis .
Definition: BasisType.h:53
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
void SetCoeffPhys(void)
Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m...
Definition: ExpList3D.cpp:442
std::map< int, ExpansionShPtr > ExpansionMap
Definition: MeshGraph.h:174
Nektar::MultiRegions::ExpList3D::ExpList3D ( const SpatialDomains::ExpansionMap expansions)

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

Given an expansion vector expansions, containing information about the domain and the spectral/hp element expansion, this constructor fills the list of local expansions {m_exp} with the proper expansions, calculates the total number of quadrature points $\boldsymbol{x}_i$ and the local expansion coefficients $\hat{u}^e_n$ and allocates memory for the arrays m_coeffs and m_phys.

Parameters
expansionsAn expansion vector, containing information about the domain and the spectral/hp element expansion.

Definition at line 317 of file ExpList3D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, ASSERTL1, Nektar::MultiRegions::ExpList::CreateCollections(), Nektar::MultiRegions::e3D, Nektar::LibUtilities::eGauss_Lagrange, Nektar::LibUtilities::eGLL_Lagrange, Nektar::LibUtilities::BasisKey::GetBasisType(), Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_globalOptParam, SetCoeffPhys(), and Nektar::MultiRegions::ExpList::SetExpType().

317  :
318  ExpList()
319  {
320  SetExpType(e3D);
321 
322  int elmtid = 0;
327 
328 
329  for(int i = 0; i < expansions.size(); ++i)
330  {
335 
336  SpatialDomains::ExpansionMap::const_iterator expmap = expansions.find(i);
337  ASSERTL1(expmap != expansions.end(), "Unable to find expansion.");
338  const SpatialDomains::ExpansionShPtr exp = expmap->second;
339 
340  if((TetGeom = boost::dynamic_pointer_cast<
341  SpatialDomains::TetGeom>(exp->m_geomShPtr)))
342  {
343  LibUtilities::BasisKey TetBa
344  = exp->m_basisKeyVector[0];
345  LibUtilities::BasisKey TetBb
346  = exp->m_basisKeyVector[1];
347  LibUtilities::BasisKey TetBc
348  = exp->m_basisKeyVector[2];
349 
350  if(TetBa.GetBasisType() == LibUtilities::eGLL_Lagrange ||
351  TetBa.GetBasisType() == LibUtilities::eGauss_Lagrange)
352  {
353  ASSERTL0(false,"LocalRegions::NodalTetExp is not "
354  "implemented yet");
355  }
356  else
357  {
359  ::AllocateSharedPtr(TetBa,TetBb,TetBc,
360  TetGeom);
361  tet->SetElmtId(elmtid++);
362  (*m_exp).push_back(tet);
363  }
364  }
365  else if((PrismGeom = boost::dynamic_pointer_cast<
366  SpatialDomains::PrismGeom>(exp->m_geomShPtr)))
367  {
368  LibUtilities::BasisKey PrismBa
369  = exp->m_basisKeyVector[0];
370  LibUtilities::BasisKey PrismBb
371  = exp->m_basisKeyVector[1];
372  LibUtilities::BasisKey PrismBc
373  = exp->m_basisKeyVector[2];
374 
376  ::AllocateSharedPtr(PrismBa,PrismBb,
377  PrismBc,PrismGeom);
378  prism->SetElmtId(elmtid++);
379  (*m_exp).push_back(prism);
380  }
381  else if((PyrGeom = boost::dynamic_pointer_cast<
382  SpatialDomains::PyrGeom>(exp->m_geomShPtr)))
383  {
384  LibUtilities::BasisKey PyrBa
385  = exp->m_basisKeyVector[0];
386  LibUtilities::BasisKey PyrBb
387  = exp->m_basisKeyVector[1];
388  LibUtilities::BasisKey PyrBc
389  = exp->m_basisKeyVector[2];
390 
392  ::AllocateSharedPtr(PyrBa,PyrBb,PyrBc,
393  PyrGeom);
394  pyramid->SetElmtId(elmtid++);
395  (*m_exp).push_back(pyramid);
396  }
397  else if((HexGeom = boost::dynamic_pointer_cast<
398  SpatialDomains::HexGeom>(exp->m_geomShPtr)))
399  {
400  LibUtilities::BasisKey HexBa
401  = exp->m_basisKeyVector[0];
402  LibUtilities::BasisKey HexBb
403  = exp->m_basisKeyVector[1];
404  LibUtilities::BasisKey HexBc
405  = exp->m_basisKeyVector[2];
406 
408  ::AllocateSharedPtr(HexBa,HexBb,HexBc,
409  HexGeom);
410  hex->SetElmtId(elmtid++);
411  (*m_exp).push_back(hex);
412  }
413  else
414  {
415  ASSERTL0(false,"dynamic cast to a proper Geometry3D "
416  "failed");
417  }
418 
419  }
420 
421  // Setup Default optimisation information.
422  int nel = GetExpSize();
425 
426  SetCoeffPhys();
428  }
boost::shared_ptr< PyrGeom > PyrGeomSharedPtr
Definition: PyrGeom.h:84
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
ExpList()
The default constructor.
Definition: ExpList.cpp:95
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
Definition: ExpList.h:1001
Lagrange Polynomials using the Gauss points .
Definition: BasisType.h:54
boost::shared_ptr< HexExp > HexExpSharedPtr
Definition: HexExp.h:57
boost::shared_ptr< HexGeom > HexGeomSharedPtr
Definition: HexGeom.h:110
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< TetExp > TetExpSharedPtr
Definition: TetExp.h:223
boost::shared_ptr< PyrExp > PyrExpSharedPtr
Definition: PyrExp.h:161
boost::shared_ptr< PrismExp > PrismExpSharedPtr
Definition: PrismExp.h:217
boost::shared_ptr< Expansion > ExpansionShPtr
Definition: MeshGraph.h:173
boost::shared_ptr< PrismGeom > PrismGeomSharedPtr
Definition: PrismGeom.h:109
boost::shared_ptr< TetGeom > TetGeomSharedPtr
Definition: TetGeom.h:106
void CreateCollections(Collections::ImplementationType ImpType=Collections::eNoImpType)
Construct collections of elements containing a single element type and polynomial order from the list...
Definition: ExpList.cpp:2952
Lagrange for SEM basis .
Definition: BasisType.h:53
void SetExpType(ExpansionType Type)
Returns the type of the expansion.
Definition: ExpList.cpp:253
void SetCoeffPhys(void)
Definition of the total number of degrees of freedom and quadrature points. Sets up the storage for m...
Definition: ExpList3D.cpp:442
#define ASSERTL1(condition, msg)
Assert Level 1 – Debugging which is used whether in FULLDEBUG or DEBUG compilation mode...
Definition: ErrorUtil.hpp:218
Nektar::MultiRegions::ExpList3D::~ExpList3D ( )
virtual

Destructor.

Definition at line 80 of file ExpList3D.cpp.

81  {
82  }

Member Function Documentation

void Nektar::MultiRegions::ExpList3D::SetCoeffPhys ( void  )
private

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

Set up the storage for the concatenated list of coefficients and physical evaluations at the quadrature points. Each expansion (local element) is processed in turn to determine the number of coefficients and physical data points it contributes to the domain. Three arrays, m_coeff_offset, m_phys_offset and m_offset_elmt_id, are also initialised and updated to store the data offsets of each element in the m_coeffs and m_phys arrays, and the element id that each consecutive block is associated respectively.

Definition at line 442 of file ExpList3D.cpp.

References Nektar::MultiRegions::ExpList::m_coeff_offset, Nektar::MultiRegions::ExpList::m_coeffs, Nektar::MultiRegions::ExpList::m_exp, Nektar::MultiRegions::ExpList::m_ncoeffs, Nektar::MultiRegions::ExpList::m_npoints, Nektar::MultiRegions::ExpList::m_offset_elmt_id, Nektar::MultiRegions::ExpList::m_phys, and Nektar::MultiRegions::ExpList::m_phys_offset.

Referenced by ExpList3D().

443  {
444  int i;
445 
446  // Set up offset information and array sizes
447  m_coeff_offset = Array<OneD,int>(m_exp->size());
448  m_phys_offset = Array<OneD,int>(m_exp->size());
449  m_offset_elmt_id = Array<OneD,int>(m_exp->size());
450 
451  m_ncoeffs = m_npoints = 0;
452 
453  for(i = 0; i < m_exp->size(); ++i)
454  {
456  m_phys_offset [i] = m_npoints;
457  m_offset_elmt_id[i] = i;
458  m_ncoeffs += (*m_exp)[i]->GetNcoeffs();
459  m_npoints += (*m_exp)[i]->GetTotPoints();
460  }
461 
462  m_coeffs = Array<OneD, NekDouble>(m_ncoeffs);
463  m_phys = Array<OneD, NekDouble>(m_npoints);
464  }
Array< OneD, NekDouble > m_phys
The global expansion evaluated at the quadrature points.
Definition: ExpList.h:956
Array< OneD, NekDouble > m_coeffs
Concatenation of all local expansion coefficients.
Definition: ExpList.h:939
Array< OneD, int > m_coeff_offset
Offset of elemental data into the array m_coeffs.
Definition: ExpList.h:988
boost::shared_ptr< LocalRegions::ExpansionVector > m_exp
The list of local expansions.
Definition: ExpList.h:977
Array< OneD, int > m_phys_offset
Offset of elemental data into the array m_phys.
Definition: ExpList.h:991
int m_ncoeffs
The total number of local degrees of freedom. m_ncoeffs .
Definition: ExpList.h:917
Array< OneD, int > m_offset_elmt_id
Array containing the element id m_offset_elmt_id[n] that the n^th consecutive block of data in m_coef...
Definition: ExpList.h:999
void Nektar::MultiRegions::ExpList3D::v_PhysGalerkinProjection1DScaled ( const NekDouble  scale,
const Array< OneD, NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
privatevirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 612 of file ExpList3D.cpp.

References Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_exp, and Nektar::LibUtilities::PhysGalerkinProject3D().

615  {
616  int cnt,cnt1;
617 
618  cnt = cnt1 = 0;
619  for(int i = 0; i < GetExpSize(); ++i)
620  {
621  // get new points key
622  int pt0 = (*m_exp)[i]->GetNumPoints(0);
623  int pt1 = (*m_exp)[i]->GetNumPoints(1);
624  int pt2 = (*m_exp)[i]->GetNumPoints(2);
625  int npt0 = (int) pt0*scale;
626  int npt1 = (int) pt1*scale;
627  int npt2 = (int) pt2*scale;
628 
629  LibUtilities::PointsKey newPointsKey0(npt0,(*m_exp)[i]->GetPointsType(0));
630  LibUtilities::PointsKey newPointsKey1(npt1,(*m_exp)[i]->GetPointsType(1));
631  LibUtilities::PointsKey newPointsKey2(npt2,(*m_exp)[i]->GetPointsType(2));
632 
633  // Project points;
635  newPointsKey1,
636  newPointsKey2,
637  &inarray[cnt],
638  (*m_exp)[i]->GetBasis(0)->GetPointsKey(),
639  (*m_exp)[i]->GetBasis(1)->GetPointsKey(),
640  (*m_exp)[i]->GetBasis(2)->GetPointsKey(),
641  &outarray[cnt1]);
642 
643  cnt += npt0*npt1*npt2;
644  cnt1 += pt0*pt1*pt2;
645  }
646 
647  }
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< LocalRegions::ExpansionVector > m_exp
The list of local expansions.
Definition: ExpList.h:977
void PhysGalerkinProject3D(const BasisKey &fbasis0, const BasisKey &fbasis1, const BasisKey &fbasis2, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, const BasisKey &tbasis2, Array< OneD, NekDouble > &to)
void Nektar::MultiRegions::ExpList3D::v_PhysInterp1DScaled ( const NekDouble  scale,
const Array< OneD, NekDouble > &  inarray,
Array< OneD, NekDouble > &  outarray 
)
privatevirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 578 of file ExpList3D.cpp.

References Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::LibUtilities::Interp3D(), and Nektar::MultiRegions::ExpList::m_exp.

581  {
582  int cnt,cnt1;
583 
584  cnt = cnt1 = 0;
585  for(int i = 0; i < GetExpSize(); ++i)
586  {
587  // get new points key
588  int pt0 = (*m_exp)[i]->GetNumPoints(0);
589  int pt1 = (*m_exp)[i]->GetNumPoints(1);
590  int pt2 = (*m_exp)[i]->GetNumPoints(2);
591  int npt0 = (int) pt0*scale;
592  int npt1 = (int) pt1*scale;
593  int npt2 = (int) pt2*scale;
594 
595  LibUtilities::PointsKey newPointsKey0(npt0,(*m_exp)[i]->GetPointsType(0));
596  LibUtilities::PointsKey newPointsKey1(npt1,(*m_exp)[i]->GetPointsType(1));
597  LibUtilities::PointsKey newPointsKey2(npt2,(*m_exp)[i]->GetPointsType(2));
598 
599  // Interpolate points;
600  LibUtilities::Interp3D((*m_exp)[i]->GetBasis(0)->GetPointsKey(),
601  (*m_exp)[i]->GetBasis(1)->GetPointsKey(),
602  (*m_exp)[i]->GetBasis(2)->GetPointsKey(),
603  &inarray[cnt], newPointsKey0,
604  newPointsKey1, newPointsKey2,
605  &outarray[cnt1]);
606 
607  cnt += pt0*pt1*pt2;
608  cnt1 += npt0*npt1*npt2;
609  }
610  }
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< LocalRegions::ExpansionVector > m_exp
The list of local expansions.
Definition: ExpList.h:977
void Interp3D(const BasisKey &fbasis0, const BasisKey &fbasis1, const BasisKey &fbasis2, const Array< OneD, const NekDouble > &from, const BasisKey &tbasis0, const BasisKey &tbasis1, const BasisKey &tbasis2, Array< OneD, NekDouble > &to)
this function interpolates a 3D function evaluated at the quadrature points of the 3D basis...
Definition: Interp.cpp:186
void Nektar::MultiRegions::ExpList3D::v_ReadGlobalOptimizationParameters ( )
privatevirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 466 of file ExpList3D.cpp.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), ASSERTL0, Nektar::LibUtilities::eHexahedron, Nektar::LibUtilities::ePrism, Nektar::LibUtilities::ePyramid, Nektar::LibUtilities::eTetrahedron, Nektar::MultiRegions::ExpList::GetExpSize(), Nektar::MultiRegions::ExpList::m_exp, Nektar::MultiRegions::ExpList::m_globalOptParam, and Nektar::MultiRegions::ExpList::m_session.

467  {
468  Array<OneD, int> NumShape(4,0);
469 
470  for(int i = 0; i < GetExpSize(); ++i)
471  {
472  switch ((*m_exp)[i]->DetShapeType())
473  {
474  case LibUtilities::eTetrahedron: NumShape[0]++; break;
475  case LibUtilities::ePyramid: NumShape[1]++; break;
476  case LibUtilities::ePrism: NumShape[2]++; break;
477  case LibUtilities::eHexahedron: NumShape[3]++; break;
478  default:
479  ASSERTL0(false, "Unknown expansion type.");
480  break;
481  }
482  }
483 
484  int three = 3;
486  ::AllocateSharedPtr(m_session,three,NumShape);
487  }
#define ASSERTL0(condition, msg)
Definition: ErrorUtil.hpp:188
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
NekOptimize::GlobalOptParamSharedPtr m_globalOptParam
Definition: ExpList.h:1001
int GetExpSize(void)
This function returns the number of elements in the expansion.
Definition: ExpList.h:1896
boost::shared_ptr< LocalRegions::ExpansionVector > m_exp
The list of local expansions.
Definition: ExpList.h:977
LibUtilities::SessionReaderSharedPtr m_session
Session.
Definition: ExpList.h:910
void Nektar::MultiRegions::ExpList3D::v_SetUpPhysNormals ( )
protectedvirtual

Set up the normals on each expansion.

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 566 of file ExpList3D.cpp.

References Nektar::MultiRegions::ExpList::m_exp.

567  {
568  int i, j;
569  for (i = 0; i < m_exp->size(); ++i)
570  {
571  for (j = 0; j < (*m_exp)[i]->GetNfaces(); ++j)
572  {
573  (*m_exp)[i]->ComputeFaceNormal(j);
574  }
575  }
576  }
boost::shared_ptr< LocalRegions::ExpansionVector > m_exp
The list of local expansions.
Definition: ExpList.h:977
void Nektar::MultiRegions::ExpList3D::v_WriteVtkPieceHeader ( std::ostream &  outfile,
int  expansion,
int  istrip 
)
privatevirtual

Reimplemented from Nektar::MultiRegions::ExpList.

Definition at line 489 of file ExpList3D.cpp.

490  {
491  int i,j,k;
492  int nquad0 = (*m_exp)[expansion]->GetNumPoints(0);
493  int nquad1 = (*m_exp)[expansion]->GetNumPoints(1);
494  int nquad2 = (*m_exp)[expansion]->GetNumPoints(2);
495  int ntot = nquad0*nquad1*nquad2;
496  int ntotminus = (nquad0-1)*(nquad1-1)*(nquad2-1);
497 
498  Array<OneD,NekDouble> coords[3];
499  coords[0] = Array<OneD,NekDouble>(ntot);
500  coords[1] = Array<OneD,NekDouble>(ntot);
501  coords[2] = Array<OneD,NekDouble>(ntot);
502  (*m_exp)[expansion]->GetCoords(coords[0],coords[1],coords[2]);
503 
504  outfile << " <Piece NumberOfPoints=\""
505  << ntot << "\" NumberOfCells=\""
506  << ntotminus << "\">" << endl;
507  outfile << " <Points>" << endl;
508  outfile << " <DataArray type=\"Float64\" "
509  << "NumberOfComponents=\"3\" format=\"ascii\">" << endl;
510  outfile << " ";
511  for (i = 0; i < ntot; ++i)
512  {
513  for (j = 0; j < 3; ++j)
514  {
515  outfile << setprecision(8) << scientific
516  << (float)coords[j][i] << " ";
517  }
518  outfile << endl;
519  }
520 
521  outfile << endl;
522  outfile << " </DataArray>" << endl;
523  outfile << " </Points>" << endl;
524  outfile << " <Cells>" << endl;
525  outfile << " <DataArray type=\"Int32\" "
526  << "Name=\"connectivity\" format=\"ascii\">" << endl;
527  for (i = 0; i < nquad0-1; ++i)
528  {
529  for (j = 0; j < nquad1-1; ++j)
530  {
531  for (k = 0; k < nquad2-1; ++k)
532  {
533  outfile << k*nquad0*nquad1 + j*nquad0 + i << " "
534  << k*nquad0*nquad1 + j*nquad0 + i + 1 << " "
535  << k*nquad0*nquad1 + (j+1)*nquad0 + i + 1 << " "
536  << k*nquad0*nquad1 + (j+1)*nquad0 + i << " "
537  << (k+1)*nquad0*nquad1 + j*nquad0 + i << " "
538  << (k+1)*nquad0*nquad1 + j*nquad0 + i + 1 << " "
539  << (k+1)*nquad0*nquad1 + (j+1)*nquad0 + i + 1 << " "
540  << (k+1)*nquad0*nquad1 + (j+1)*nquad0 + i << " " << endl;
541  }
542  }
543  }
544  outfile << endl;
545  outfile << " </DataArray>" << endl;
546  outfile << " <DataArray type=\"Int32\" "
547  << "Name=\"offsets\" format=\"ascii\">" << endl;
548  for (i = 0; i < ntotminus; ++i)
549  {
550  outfile << i*8+8 << " ";
551  }
552  outfile << endl;
553  outfile << " </DataArray>" << endl;
554  outfile << " <DataArray type=\"UInt8\" "
555  << "Name=\"types\" format=\"ascii\">" << endl;
556  for (i = 0; i < ntotminus; ++i)
557  {
558  outfile << "12 ";
559  }
560  outfile << endl;
561  outfile << " </DataArray>" << endl;
562  outfile << " </Cells>" << endl;
563  outfile << " <PointData>" << endl;
564  }