TriExp.h

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///////////////////////////////////////////////////////////////////////////////
//
// File TriExp.h
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Expansion for triangular elements.
//
///////////////////////////////////////////////////////////////////////////////
 
#ifndef TRIEXP_H
#define TRIEXP_H
 
#include <LocalRegions/Expansion2D.h>
#include <LocalRegions/LocalRegionsDeclspec.h>
#include <LocalRegions/MatrixKey.h>
#include <SpatialDomains/GeomFactors.h>
#include <SpatialDomains/TriGeom.h>
#include <StdRegions/StdTriExp.h>
 
namespace Nektar
{
namespace LocalRegions
{
 
class TriExp : virtual public StdRegions::StdTriExp, virtual public Expansion2D
{
 
public:
    /**
     * @brief Constructor using BasisKey class for quadrature
     * points and order definition
     */
    LOCAL_REGIONS_EXPORT TriExp(
        const LibUtilities::BasisKey &Ba, const LibUtilities::BasisKey &Bb,
        const SpatialDomains::Geometry2DSharedPtr &geom);
 
    LOCAL_REGIONS_EXPORT TriExp(const TriExp &T);
 
    LOCAL_REGIONS_EXPORT ~TriExp();
 
protected:
    //-------------------------------
    // Integration Methods
    //-------------------------------
    LOCAL_REGIONS_EXPORT virtual NekDouble v_Integral(
        const Array<OneD, const NekDouble> &inarray);
 
    //----------------------------
    // Differentiation Methods
    //----------------------------
    LOCAL_REGIONS_EXPORT 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 = NullNekDouble1DArray);
    LOCAL_REGIONS_EXPORT virtual void v_PhysDeriv(
        const int dir, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_PhysDirectionalDeriv(
        const Array<OneD, const NekDouble> &inarray,
        const Array<OneD, const NekDouble> &direction,
        Array<OneD, NekDouble> &out);
 
    //---------------------------------------
    // Transforms
    //---------------------------------------
    LOCAL_REGIONS_EXPORT virtual void v_FwdTrans(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_FwdTransBndConstrained(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
 
    //---------------------------------------
    // Inner product functions
    //---------------------------------------
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTBase(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTDerivBase(
        const int dir, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTBase_SumFac(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, bool multiplybyweights = true);
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTBase_MatOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTDerivBase_SumFac(
        const int dir, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_AlignVectorToCollapsedDir(
        const int dir, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, Array<OneD, NekDouble>> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTDerivBase_MatOp(
        const int dir, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTDirectionalDerivBase(
        const Array<OneD, const NekDouble> &direction,
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_IProductWRTDirectionalDerivBase_SumFac(
        const Array<OneD, const NekDouble> &direction,
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_NormVectorIProductWRTBase(
        const Array<OneD, const NekDouble> &Fx,
        const Array<OneD, const NekDouble> &Fy,
        const Array<OneD, const NekDouble> &Fz,
        Array<OneD, NekDouble> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_NormVectorIProductWRTBase(
        const Array<OneD, const Array<OneD, NekDouble>> &Fvec,
        Array<OneD, NekDouble> &outarray);
 
    //---------------------------------------
    // Evaluation functions
    //---------------------------------------
    LOCAL_REGIONS_EXPORT virtual StdRegions::StdExpansionSharedPtr v_GetStdExp(
        void) const;
 
    LOCAL_REGIONS_EXPORT virtual StdRegions::StdExpansionSharedPtr v_GetLinStdExp(
        void) const;
 
    LOCAL_REGIONS_EXPORT virtual void v_GetCoord(
        const Array<OneD, const NekDouble> &Lcoords,
        Array<OneD, NekDouble> &coords);
    LOCAL_REGIONS_EXPORT virtual void v_GetCoords(
        Array<OneD, NekDouble> &coords_1, Array<OneD, NekDouble> &coords_2,
        Array<OneD, NekDouble> &coords_3);
    LOCAL_REGIONS_EXPORT virtual NekDouble v_StdPhysEvaluate(
        const Array<OneD, const NekDouble> &Lcoord,
        const Array<OneD, const NekDouble> &physvals);
    LOCAL_REGIONS_EXPORT virtual NekDouble v_PhysEvaluate(
        const Array<OneD, const NekDouble> &coord,
        const Array<OneD, const NekDouble> &physvals);
    LOCAL_REGIONS_EXPORT virtual void v_GetTracePhysVals(
        const int edge, const StdRegions::StdExpansionSharedPtr &EdgeExp,
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, StdRegions::Orientation orient);
    LOCAL_REGIONS_EXPORT virtual void v_GetEdgeInterpVals(
        const int edge, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_GetTraceQFactors(
        const int edge, Array<OneD, NekDouble> &outarray);
    LOCAL_REGIONS_EXPORT virtual void v_ComputeTraceNormal(const int edge);
 
    //---------------------------------------
    // Helper functions
    //---------------------------------------
    LOCAL_REGIONS_EXPORT virtual int v_GetCoordim();
    LOCAL_REGIONS_EXPORT virtual void v_ExtractDataToCoeffs(
        const NekDouble *data, const std::vector<unsigned int> &nummodes,
        const int mode_offset, NekDouble *coeffs,
        std::vector<LibUtilities::BasisType> &fromType);
    LOCAL_REGIONS_EXPORT virtual StdRegions::Orientation v_GetTraceOrient(
        int edge);
    LOCAL_REGIONS_EXPORT virtual const LibUtilities::BasisSharedPtr &v_GetBasis(
        int dir) const;
    LOCAL_REGIONS_EXPORT virtual int v_GetNumPoints(const int dir) const;
    LOCAL_REGIONS_EXPORT virtual void v_GetTracePhysMap(
        const int edge, Array<OneD, int> &outarray);
 
    //---------------------------------------
    // Matrix creation functions
    //---------------------------------------
    LOCAL_REGIONS_EXPORT virtual DNekMatSharedPtr v_GenMatrix(
        const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual DNekMatSharedPtr v_CreateStdMatrix(
        const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual DNekScalMatSharedPtr v_GetLocMatrix(
        const MatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual DNekScalBlkMatSharedPtr v_GetLocStaticCondMatrix(
        const MatrixKey &mkey);
 
    LOCAL_REGIONS_EXPORT void v_DropLocStaticCondMatrix(const MatrixKey &mkey);
 
    LOCAL_REGIONS_EXPORT virtual void v_MassMatrixOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_LaplacianMatrixOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_LaplacianMatrixOp(
        const int k1, const int k2, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_WeakDerivMatrixOp(
        const int i, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_WeakDirectionalDerivMatrixOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_MassLevelCurvatureMatrixOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_HelmholtzMatrixOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_GeneralMatrixOp_MatOp(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, const StdRegions::StdMatrixKey &mkey);
    LOCAL_REGIONS_EXPORT virtual void v_LaplacianMatrixOp_MatFree_Kernel(
        const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray, Array<OneD, NekDouble> &wsp);
    LOCAL_REGIONS_EXPORT virtual void v_ReduceOrderCoeffs(
        int numMin, const Array<OneD, const NekDouble> &inarray,
        Array<OneD, NekDouble> &outarray);
 
    LOCAL_REGIONS_EXPORT virtual void v_ComputeLaplacianMetric();
 
    LOCAL_REGIONS_EXPORT virtual void v_SVVLaplacianFilter(
        Array<OneD, NekDouble> &array, const StdRegions::StdMatrixKey &mkey);
 
    LOCAL_REGIONS_EXPORT virtual void v_NormalTraceDerivFactors(
        Array<OneD, Array<OneD, NekDouble>> &factors,
        Array<OneD, Array<OneD, NekDouble>> &d0factors,
        Array<OneD, Array<OneD, NekDouble>> &d1factors);
 
private:
    LibUtilities::NekManager<MatrixKey, DNekScalMat, MatrixKey::opLess>
        m_matrixManager;
    LibUtilities::NekManager<MatrixKey, DNekScalBlkMat, MatrixKey::opLess>
        m_staticCondMatrixManager;
 
    TriExp();
};
 
typedef std::shared_ptr<TriExp> TriExpSharedPtr;
typedef std::vector<TriExpSharedPtr> TriExpVector;
} // namespace LocalRegions
} // namespace Nektar
 
#endif