Nektar::LibUtilities::NodalPrismElec Class Reference

#include <NodalPrismElec.h>

Inheritance diagram for Nektar::LibUtilities::NodalPrismElec:

Public Member Functions
virtual	~NodalPrismElec ()
	NodalPrismElec (const PointsKey &key)
Public Member Functions inherited from Nektar::LibUtilities::Points< NekDouble >
virtual	~Points ()
void	Initialize (void)
unsigned int	GetPointsDim () const
unsigned int	GetNumPoints () const
unsigned int	GetTotNumPoints () const
PointsType	GetPointsType () const
const Array< OneD, const DataType > &	GetZ () const
const Array< OneD, const DataType > &	GetW () const
void	GetZW (Array< OneD, const DataType > &z, Array< OneD, const DataType > &w) const
const Array< OneD, const NekDouble > &	GetBaryWeights () const
void	GetPoints (Array< OneD, const DataType > &x) const
void	GetPoints (Array< OneD, const DataType > &x, Array< OneD, const DataType > &y) const
void	GetPoints (Array< OneD, const DataType > &x, Array< OneD, const DataType > &y, Array< OneD, const DataType > &z) const
const MatrixSharedPtrType &	GetD (Direction dir=xDir) const
const MatrixSharedPtrType	GetI (const PointsKey &key)
const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x)
const MatrixSharedPtrType	GetI (unsigned int uint, const Array< OneD, const DataType > &x)
const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x, const Array< OneD, const DataType > &y)
const MatrixSharedPtrType	GetI (const Array< OneD, const DataType > &x, const Array< OneD, const DataType > &y, const Array< OneD, const DataType > &z)
const MatrixSharedPtrType	GetGalerkinProjection (const PointsKey &pkey)

Static Public Member Functions
static std::shared_ptr< PointsBaseType >	Create (const PointsKey &key)

Protected Member Functions
virtual const MatrixSharedPtrType	v_GetI (const PointsKey &pkey) override
virtual const MatrixSharedPtrType	v_GetI (const Array< OneD, const NekDouble > &x, const Array< OneD, const NekDouble > &y, const Array< OneD, const NekDouble > &z) override
Protected Member Functions inherited from Nektar::LibUtilities::Points< NekDouble >
virtual void	v_Initialize (void)
virtual void	v_CalculateBaryWeights ()
	This function calculates the barycentric weights used for enhanced interpolation speed. More...
	Points (const PointsKey &key)
virtual const MatrixSharedPtrType	v_GetI (const Array< OneD, const DataType > &x)
virtual const MatrixSharedPtrType	v_GetI (unsigned int, const Array< OneD, const DataType > &x)
virtual const MatrixSharedPtrType	v_GetI (const Array< OneD, const DataType > &x, const Array< OneD, const DataType > &y)
virtual const MatrixSharedPtrType	v_GetGalerkinProjection (const PointsKey &pkey)

Private Member Functions
	NodalPrismElec ()
	Default constructor should not be called except by Create matrix. More...
void	NodalPointReorder3d ()
virtual void	v_CalculatePoints () override
virtual void	v_CalculateWeights () override
virtual void	v_CalculateDerivMatrix () override
void	CalculateInterpMatrix (const Array< OneD, const NekDouble > &xi, const Array< OneD, const NekDouble > &yi, const Array< OneD, const NekDouble > &zi, Array< OneD, NekDouble > &interp)

Private Attributes
std::shared_ptr< NodalUtilPrism >	m_util

Static Private Attributes
static bool	initPointsManager []

Additional Inherited Members
Public Types inherited from Nektar::LibUtilities::Points< NekDouble >
typedef NekDouble	DataType
typedef std::shared_ptr< NekMatrix< DataType > >	MatrixSharedPtrType
Protected Attributes inherited from Nektar::LibUtilities::Points< NekDouble >
PointsKey	m_pointsKey
	Points type for this points distributions. More...
Array< OneD, DataType >	m_points [3]
	Storage for the point locations, allowing for up to a 3D points storage. More...
Array< OneD, DataType >	m_weights
	Quadrature weights for the weights. More...
Array< OneD, DataType >	m_bcweights
	Barycentric weights. More...
MatrixSharedPtrType	m_derivmatrix [3]
	Derivative matrices. More...
NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess >	m_InterpManager
NekManager< PointsKey, NekMatrix< DataType >, PointsKey::opLess >	m_GalerkinProjectionManager

Detailed Description

Definition at line 51 of file NodalPrismElec.h.

Constructor & Destructor Documentation

~NodalPrismElec()

virtual Nektar::LibUtilities::NodalPrismElec::~NodalPrismElec ( )

inlinevirtual

Definition at line 54 of file NodalPrismElec.h.

    {
    }

NodalPrismElec() [1/2]

Nektar::LibUtilities::NodalPrismElec::NodalPrismElec ( const PointsKey &  key )

inline

Definition at line 58 of file NodalPrismElec.h.

                                         : PointsBaseType(key)
    {
    }

NodalPrismElec() [2/2]

Nektar::LibUtilities::NodalPrismElec::NodalPrismElec ( )

inlineprivate

Default constructor should not be called except by Create matrix.

Definition at line 98 of file NodalPrismElec.h.

                     : PointsBaseType(NullPointsKey)
    {
    }

Member Function Documentation

CalculateInterpMatrix()

void Nektar::LibUtilities::NodalPrismElec::CalculateInterpMatrix ( const Array< OneD, const NekDouble > &  xi, const Array< OneD, const NekDouble > &  yi, const Array< OneD, const NekDouble > &  zi, Array< OneD, NekDouble > &  interp  )

private

Definition at line 432 of file NodalPrismElec.cpp.

{
    Array<OneD, Array<OneD, NekDouble>> xi(3);
    xi[0] = xia;
    xi[1] = yia;
    xi[1] = zia;
 
    std::shared_ptr<NekMatrix<NekDouble>> mat =
        m_util->GetInterpolationMatrix(xi);
    Vmath::Vcopy(mat->GetRows() * mat->GetColumns(), mat->GetRawPtr(), 1,
                 &interp[0], 1);
}

References m_util, and Vmath::Vcopy().

Referenced by v_GetI().

Create()

std::shared_ptr< PointsBaseType > Nektar::LibUtilities::NodalPrismElec::Create ( const PointsKey &  key )

static

Definition at line 460 of file NodalPrismElec.cpp.

{
    std::shared_ptr<PointsBaseType> returnval(
        MemoryManager<NodalPrismElec>::AllocateSharedPtr(key));
 
    returnval->Initialize();
 
    return returnval;
}

NodalPointReorder3d()

void Nektar::LibUtilities::NodalPrismElec::NodalPointReorder3d ( )

private

Definition at line 186 of file NodalPrismElec.cpp.

{
    unsigned int npts = GetNumPoints();
    using std::vector;
    vector<int> vertex;
    vector<int> iEdge_01;             // interior edge 0
    vector<int> iEdge_12;             // interior edge 1
    vector<int> iEdge_23;             // interior edge 2
    vector<int> iEdge_30;             // interior edge 3
    vector<int> iEdge_04;             // interior edge 4
    vector<int> iEdge_14;             // interior edge 5
    vector<int> iEdge_25;             // interior edge 6
    vector<int> iEdge_35;             // interior edge 7
    vector<int> iEdge_45;             // interior edge 8
    vector<int> iFace_0123;           // interior face 0
    vector<int> iFace_014;            // interior face 1
    vector<int> iFace_1254;           // interior face 2
    vector<int> iFace_325;            // interior face 3
    vector<int> iFace_0354;           // interior face 4
    vector<int> interiorVolumePoints; // interior volume points
    vector<int> map;
 
    // Build the lattice prism left to right - bottom to top
    for (unsigned int y = 0, index = 0; y < npts; y++)
    {
        for (unsigned int t = 0; t < npts * (npts + 1) / 2; t++, index++)
        {
            if (isVertex(t, y, npts))
            {
                vertex.push_back(index);
            }
            else if (isEdge(t, y, npts))
            {
                if (isEdge_01(t, y, npts))
                {
                    iEdge_01.push_back(index);
                }
                else if (isEdge_12(t, y, npts))
                {
                    iEdge_12.push_back(index);
                }
                else if (isEdge_23(t, y, npts))
                {
                    iEdge_23.push_back(index);
                }
                else if (isEdge_30(t, y, npts))
                {
                    iEdge_30.push_back(index);
                }
                else if (isEdge_04(t, y, npts))
                {
                    iEdge_04.push_back(index);
                }
                else if (isEdge_14(t, y, npts))
                {
                    iEdge_14.push_back(index);
                }
                else if (isEdge_25(t, y, npts))
                {
                    iEdge_25.push_back(index);
                }
                else if (isEdge_35(t, y, npts))
                {
                    iEdge_35.push_back(index);
                }
                else if (isEdge_45(t, y, npts))
                {
                    iEdge_45.push_back(index);
                }
            }
            else if (isFace(t, y, npts))
            {
                if (isFace_0123(t, y, npts))
                {
                    iFace_0123.push_back(index);
                }
                else if (isFace_014(t, y, npts))
                {
                    iFace_014.push_back(index);
                }
                else if (isFace_1254(t, y, npts))
                {
                    iFace_1254.push_back(index);
                }
                else if (isFace_325(t, y, npts))
                {
                    iFace_325.push_back(index);
                }
                else if (isFace_0354(t, y, npts))
                {
                    iFace_0354.push_back(index);
                }
            }
            else
            {
                interiorVolumePoints.push_back(index);
            }
        }
    }
 
    // sort vertices
    std::swap(vertex[2], vertex[4]);
    // sort edges
    std::reverse(iEdge_23.begin(), iEdge_23.end());
    std::reverse(iEdge_30.begin(), iEdge_30.end());
    std::reverse(iEdge_04.begin(), iEdge_04.end());
    std::reverse(iEdge_35.begin(), iEdge_35.end());
 
    // faces
    for (unsigned int i = 0; i < npts - 2; i++)
    {
        for (unsigned int j = i + 1; j < npts - 2; j++)
        {
            std::swap(iFace_1254[i * (npts - 2) + j],
                      iFace_1254[j * (npts - 2) + i]);
        }
    }
    for (int i = 0; i < npts - 2; i++)
    {
        std::reverse(iFace_0354.begin() + (i * (npts - 2)),
                     iFace_0354.begin() + (i * (npts - 2) + npts - 2));
    }
    for (unsigned int i = 0; i < npts - 2; i++)
    {
        for (unsigned int j = i + 1; j < npts - 2; j++)
        {
            std::swap(iFace_0354[i * (npts - 2) + j],
                      iFace_0354[j * (npts - 2) + i]);
        }
    }
 
    for (unsigned int n = 0; n < vertex.size(); ++n)
    {
        map.push_back(vertex[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_01.size(); ++n)
    {
        map.push_back(iEdge_01[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_12.size(); ++n)
    {
        map.push_back(iEdge_12[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_23.size(); ++n)
    {
        map.push_back(iEdge_23[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_30.size(); ++n)
    {
        map.push_back(iEdge_30[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_04.size(); ++n)
    {
        map.push_back(iEdge_04[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_14.size(); ++n)
    {
        map.push_back(iEdge_14[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_25.size(); ++n)
    {
        map.push_back(iEdge_25[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_35.size(); ++n)
    {
        map.push_back(iEdge_35[n]);
    }
 
    for (unsigned int n = 0; n < iEdge_45.size(); ++n)
    {
        map.push_back(iEdge_45[n]);
    }
 
    for (unsigned int n = 0; n < iFace_0123.size(); ++n)
    {
        map.push_back(iFace_0123[n]);
    }
 
    for (unsigned int n = 0; n < iFace_014.size(); ++n)
    {
        map.push_back(iFace_014[n]);
    }
 
    for (unsigned int n = 0; n < iFace_1254.size(); ++n)
    {
        map.push_back(iFace_1254[n]);
    }
 
    for (unsigned int n = 0; n < iFace_325.size(); ++n)
    {
        map.push_back(iFace_325[n]);
    }
 
    for (unsigned int n = 0; n < iFace_0354.size(); ++n)
    {
        map.push_back(iFace_0354[n]);
    }
 
    for (unsigned int n = 0; n < interiorVolumePoints.size(); ++n)
    {
        map.push_back(interiorVolumePoints[n]);
    }
 
    Array<OneD, NekDouble> points[3];
    points[0] = Array<OneD, NekDouble>(GetTotNumPoints());
    points[1] = Array<OneD, NekDouble>(GetTotNumPoints());
    points[2] = Array<OneD, NekDouble>(GetTotNumPoints());
 
    for (unsigned int index = 0; index < map.size(); ++index)
    {
        points[0][index] = m_points[0][index];
        points[1][index] = m_points[1][index];
        points[2][index] = m_points[2][index];
    }
 
    for (unsigned int index = 0; index < map.size(); ++index)
    {
        m_points[0][index] = points[0][map[index]];
        m_points[1][index] = points[1][map[index]];
        m_points[2][index] = points[2][map[index]];
    }
}

References Nektar::LibUtilities::Points< NekDouble >::GetNumPoints(), Nektar::LibUtilities::Points< NekDouble >::GetTotNumPoints(), and Nektar::LibUtilities::Points< NekDouble >::m_points.

Referenced by v_CalculatePoints().

v_CalculateDerivMatrix()

void Nektar::LibUtilities::NodalPrismElec::v_CalculateDerivMatrix ( )

overrideprivatevirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 450 of file NodalPrismElec.cpp.

{
    // Allocate the derivative matrix.
    PointsBaseType::v_CalculateDerivMatrix();
 
    m_derivmatrix[0] = m_util->GetDerivMatrix(0);
    m_derivmatrix[1] = m_util->GetDerivMatrix(1);
    m_derivmatrix[2] = m_util->GetDerivMatrix(2);
}

References Nektar::LibUtilities::Points< NekDouble >::m_derivmatrix, m_util, and Nektar::LibUtilities::Points< NekDouble >::v_CalculateDerivMatrix().

v_CalculatePoints()

void Nektar::LibUtilities::NodalPrismElec::v_CalculatePoints ( )

overrideprivatevirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 156 of file NodalPrismElec.cpp.

{
    // Allocate the storage for points
    PointsBaseType::v_CalculatePoints();
 
    // Populate m_points
    unsigned int npts = GetNumPoints();
 
    LibUtilities::PointsKey pkey1(npts, LibUtilities::eNodalTriElec);
    Array<OneD, NekDouble> u1, v1;
    LibUtilities::PointsManager()[pkey1]->GetPoints(u1, v1);
    LibUtilities::PointsKey pkey2(npts, LibUtilities::eGaussLobattoLegendre);
    Array<OneD, NekDouble> u;
    LibUtilities::PointsManager()[pkey2]->GetPoints(u);
 
    for (unsigned int y = 0, index = 0; y < npts; y++)
    {
        for (size_t t = 0; t < u1.size(); t++, index++)
        {
            m_points[0][index] = u1[t];
            m_points[1][index] = u[y];
            m_points[2][index] = v1[t];
        }
    }
 
    NodalPointReorder3d();
    m_util = MemoryManager<NodalUtilPrism>::AllocateSharedPtr(
        npts - 1, m_points[0], m_points[1], m_points[2]);
}

References Nektar::MemoryManager< DataType >::AllocateSharedPtr(), Nektar::LibUtilities::eGaussLobattoLegendre, Nektar::LibUtilities::eNodalTriElec, Nektar::LibUtilities::Points< NekDouble >::GetNumPoints(), Nektar::LibUtilities::Points< NekDouble >::m_points, m_util, NodalPointReorder3d(), Nektar::LibUtilities::PointsManager(), and Nektar::LibUtilities::Points< NekDouble >::v_CalculatePoints().

v_CalculateWeights()

void Nektar::LibUtilities::NodalPrismElec::v_CalculateWeights ( )

overrideprivatevirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 417 of file NodalPrismElec.cpp.

{
    // Allocate the storage for points
    PointsBaseType::v_CalculateWeights();
 
    typedef DataType T;
 
    // Solve the Vandermonde system of integrals for the weight vector
    NekVector<T> w = m_util->GetWeights();
 
    m_weights = Array<OneD, T>(w.GetRows(), w.GetPtr());
}

References Nektar::NekVector< DataType >::GetPtr(), Nektar::NekVector< DataType >::GetRows(), m_util, Nektar::LibUtilities::Points< NekDouble >::m_weights, and Nektar::LibUtilities::Points< NekDouble >::v_CalculateWeights().

v_GetI() [1/2]

virtual const MatrixSharedPtrType Nektar::LibUtilities::NodalPrismElec::v_GetI ( const Array< OneD, const NekDouble > &  x, const Array< OneD, const NekDouble > &  y, const Array< OneD, const NekDouble > &  z  )

inlineoverrideprotectedvirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 76 of file NodalPrismElec.h.

    {
        size_t numpoints = x.size();
        unsigned int np  = GetTotNumPoints();
 
        Array<OneD, NekDouble> interp(GetTotNumPoints() * numpoints);
        CalculateInterpMatrix(x, y, z, interp);
 
        NekDouble *d = interp.data();
        return MemoryManager<NekMatrix<NekDouble>>::AllocateSharedPtr(numpoints,
                                                                      np, d);
    }

References CalculateInterpMatrix(), and Nektar::LibUtilities::Points< NekDouble >::GetTotNumPoints().

v_GetI() [2/2]

virtual const MatrixSharedPtrType Nektar::LibUtilities::NodalPrismElec::v_GetI ( const PointsKey &  pkey )

inlineoverrideprotectedvirtual

Reimplemented from Nektar::LibUtilities::Points< NekDouble >.

Definition at line 66 of file NodalPrismElec.h.

    {
        ASSERTL0(pkey.GetPointsDim() == 3,
                 "NodalPrismElec Points can only interp to "
                 "other 3d point distributions");
        Array<OneD, const NekDouble> x, y, z;
        PointsManager()[pkey]->GetPoints(x, y, z);
        return GetI(x, y, z);
    }

References ASSERTL0, Nektar::LibUtilities::Points< NekDouble >::GetI(), Nektar::LibUtilities::PointsKey::GetPointsDim(), and Nektar::LibUtilities::PointsManager().

Member Data Documentation

initPointsManager

bool Nektar::LibUtilities::NodalPrismElec::initPointsManager

staticprivate

Initial value:

= {PointsManager().RegisterCreator(
    PointsKey(0, eNodalPrismElec), NodalPrismElec::Create)}

Definition at line 93 of file NodalPrismElec.h.

m_util

std::shared_ptr<NodalUtilPrism> Nektar::LibUtilities::NodalPrismElec::m_util

private

Definition at line 95 of file NodalPrismElec.h.

Referenced by CalculateInterpMatrix(), v_CalculateDerivMatrix(), v_CalculatePoints(), and v_CalculateWeights().