ExpList3DHomogeneous2D.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: ExpList3DHomogeneous2D.cpp
//
// 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: An ExpList which is homogeneous in 2 directions and so
// uses much of the functionality from a ExpList and its daughters
//
///////////////////////////////////////////////////////////////////////////////
 
#include <boost/core/ignore_unused.hpp>
 
#include <MultiRegions/ExpList.h>
#include <MultiRegions/ExpList3DHomogeneous2D.h>
 
using namespace std;
 
namespace Nektar
{
namespace MultiRegions
{
// Forward declaration for typedefs
ExpList3DHomogeneous2D::ExpList3DHomogeneous2D() : ExpListHomogeneous2D(e3DH2D)
{
}
 
ExpList3DHomogeneous2D::ExpList3DHomogeneous2D(
    const LibUtilities::SessionReaderSharedPtr &pSession,
    const LibUtilities::BasisKey &HomoBasis_y,
    const LibUtilities::BasisKey &HomoBasis_z, const NekDouble lhom_y,
    const NekDouble lhom_z, const bool useFFT, const bool dealiasing,
    const Collections::ImplementationType ImpType)
    : ExpListHomogeneous2D(e3DH2D, pSession, HomoBasis_y, HomoBasis_z, lhom_y,
                           lhom_z, useFFT, dealiasing)
{
    boost::ignore_unused(ImpType);
}
 
// Constructor for ExpList3DHomogeneous2D to act as a Explist field
ExpList3DHomogeneous2D::ExpList3DHomogeneous2D(
    const LibUtilities::SessionReaderSharedPtr &pSession,
    const LibUtilities::BasisKey &HomoBasis_y,
    const LibUtilities::BasisKey &HomoBasis_z, const NekDouble lhom_y,
    const NekDouble lhom_z, const bool useFFT, const bool dealiasing,
    const SpatialDomains::MeshGraphSharedPtr &graph1D,
    const Collections::ImplementationType ImpType)
    : ExpListHomogeneous2D(e3DH2D, pSession, HomoBasis_y, HomoBasis_z, lhom_y,
                           lhom_z, useFFT, dealiasing)
{
    int n, j, nel;
    bool False = false;
    ExpListSharedPtr line_zero;
 
    //
    m_lines[0] = line_zero = MemoryManager<ExpList>::AllocateSharedPtr(
        m_session, graph1D, false, "DefaultVar", ImpType);
 
    m_exp = MemoryManager<LocalRegions::ExpansionVector>::AllocateSharedPtr();
    nel   = m_lines[0]->GetExpSize();
 
    for (j = 0; j < nel; ++j)
    {
        (*m_exp).push_back(m_lines[0]->GetExp(j));
    }
 
    int ny = m_homogeneousBasis_y->GetNumPoints();
    int nz = m_homogeneousBasis_z->GetNumPoints();
 
    for (n = 1; n < (ny * nz); ++n)
    {
        m_lines[n] =
            MemoryManager<ExpList>::AllocateSharedPtr(*line_zero, False);
        for (j = 0; j < nel; ++j)
        {
            (*m_exp).push_back((*m_exp)[j]);
        }
    }
 
    SetCoeffPhys();
}
 
/**
 * @param   In          ExpList3DHomogeneous2D object to copy.
 */
ExpList3DHomogeneous2D::ExpList3DHomogeneous2D(
    const ExpList3DHomogeneous2D &In, const bool DeclareLinesSetCoeffPhys)
    : ExpListHomogeneous2D(In)
{
    if (DeclareLinesSetCoeffPhys)
    {
        bool False                 = false;
        ExpListSharedPtr zero_line = In.m_lines[0];
 
        for (int n = 0; n < m_lines.size(); ++n)
        {
            m_lines[n] =
                MemoryManager<ExpList>::AllocateSharedPtr(*zero_line, False);
        }
 
        SetCoeffPhys();
    }
}
 
/**
 *
 */
ExpList3DHomogeneous2D::ExpList3DHomogeneous2D(
    const ExpList3DHomogeneous2D &In, const std::vector<unsigned int> &eIDs,
    const bool DeclareLinesSetCoeffPhys,
    const Collections::ImplementationType ImpType)
    : ExpListHomogeneous2D(In, eIDs)
{
    if (DeclareLinesSetCoeffPhys)
    {
        bool False = false;
        std::vector<unsigned int> eIDsLine;
        int nel = eIDs.size() / m_lines.size();
 
        for (int i = 0; i < nel; ++i)
        {
            eIDsLine.push_back(eIDs[i]);
        }
 
        ExpListSharedPtr zero_line_old =
            std::dynamic_pointer_cast<ExpList>(In.m_lines[0]);
 
        ExpListSharedPtr zero_line = MemoryManager<ExpList>::AllocateSharedPtr(
            *(zero_line_old), eIDsLine, ImpType);
 
        for (int n = 0; n < m_lines.size(); ++n)
        {
            m_lines[n] =
                MemoryManager<ExpList>::AllocateSharedPtr(*zero_line, False);
        }
 
        SetCoeffPhys();
    }
}
 
/**
 * Destructor
 */
ExpList3DHomogeneous2D::~ExpList3DHomogeneous2D()
{
}
 
void ExpList3DHomogeneous2D::SetCoeffPhys(void)
{
    int i, n, cnt;
    int ncoeffs_per_line = m_lines[0]->GetNcoeffs();
    int npoints_per_line = m_lines[0]->GetTotPoints();
 
    int nyzlines = m_lines.size();
 
    // Set total coefficients and points
    m_ncoeffs = ncoeffs_per_line * nyzlines;
    m_npoints = npoints_per_line * nyzlines;
 
    m_coeffs = Array<OneD, NekDouble>(m_ncoeffs, 0.0);
    m_phys   = Array<OneD, NekDouble>(m_npoints, 0.0);
 
    int nel        = m_lines[0]->GetExpSize();
    m_coeff_offset = Array<OneD, int>(nel * nyzlines);
    m_phys_offset  = Array<OneD, int>(nel * nyzlines);
    Array<OneD, NekDouble> tmparray;
 
    for (cnt = n = 0; n < nyzlines; ++n)
    {
        m_lines[n]->SetCoeffsArray(tmparray = m_coeffs + ncoeffs_per_line * n);
        m_lines[n]->SetPhysArray(tmparray = m_phys + npoints_per_line * n);
 
        for (i = 0; i < nel; ++i)
        {
            m_coeff_offset[cnt] =
                m_lines[n]->GetCoeff_Offset(i) + n * ncoeffs_per_line;
            m_phys_offset[cnt++] =
                m_lines[n]->GetPhys_Offset(i) + n * npoints_per_line;
        }
    }
}
 
void ExpList3DHomogeneous2D::v_GetCoords(const int eid,
                                         Array<OneD, NekDouble> &xc0,
                                         Array<OneD, NekDouble> &xc1,
                                         Array<OneD, NekDouble> &xc2)
{
    int n, m, j;
    Array<OneD, NekDouble> tmp_xc;
    int nylines = m_homogeneousBasis_y->GetNumPoints();
    int nzlines = m_homogeneousBasis_z->GetNumPoints();
 
    int npoints = GetTotPoints(eid);
 
    // Fill x-y-z-direction
    Array<OneD, const NekDouble> pts_y = m_homogeneousBasis_y->GetZ();
    Array<OneD, const NekDouble> pts_z = m_homogeneousBasis_z->GetZ();
 
    Array<OneD, NekDouble> x(npoints);
    Array<OneD, NekDouble> y(nylines);
    Array<OneD, NekDouble> z(nzlines);
 
    Vmath::Smul(nylines, m_lhom_y / 2.0, pts_y, 1, y, 1);
    Vmath::Sadd(nylines, m_lhom_y / 2.0, y, 1, y, 1);
 
    Vmath::Smul(nzlines, m_lhom_z / 2.0, pts_z, 1, z, 1);
    Vmath::Sadd(nzlines, m_lhom_z / 2.0, z, 1, z, 1);
 
    (*m_exp)[eid]->GetCoords(x);
 
    for (m = 0; m < nzlines; ++m)
    {
        for (j = 0; j < nylines; ++j)
        {
            for (n = 0; n < npoints; ++n)
            {
                Vmath::Fill(1, x[n],
                            tmp_xc = xc0 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
                Vmath::Fill(1, y[j],
                            tmp_xc = xc1 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
                Vmath::Fill(1, z[m],
                            tmp_xc = xc2 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
            }
        }
    }
}
 
/**
 * The operation calls the 2D plane coordinates through the
 * function ExpList#GetCoords and then evaluated the third
 * coordinate using the member \a m_lhom
 *
 * @param coord_0 After calculation, the \f$x_1\f$ coordinate
 *                          will be stored in this array.
 *
 * @param coord_1 After calculation, the \f$x_2\f$ coordinate
 *                          will be stored in this array.
 *
 * @param coord_2 After calculation, the \f$x_3\f$ coordinate
 *                          will be stored in this array. This
 *                          coordinate is evaluated using the
 *                          predefined value \a m_lhom
 */
void ExpList3DHomogeneous2D::v_GetCoords(Array<OneD, NekDouble> &xc0,
                                         Array<OneD, NekDouble> &xc1,
                                         Array<OneD, NekDouble> &xc2)
{
    int n, m, j;
    Array<OneD, NekDouble> tmp_xc;
    int npoints = m_lines[0]->GetTotPoints();
 
    int nylines = m_homogeneousBasis_y->GetNumPoints();
    int nzlines = m_homogeneousBasis_z->GetNumPoints();
 
    // Fill z-direction
    Array<OneD, const NekDouble> pts_y = m_homogeneousBasis_y->GetZ();
    Array<OneD, const NekDouble> pts_z = m_homogeneousBasis_z->GetZ();
 
    Array<OneD, NekDouble> x(npoints);
    Array<OneD, NekDouble> y(nylines);
    Array<OneD, NekDouble> z(nzlines);
 
    m_lines[0]->GetCoords(x);
 
    Vmath::Smul(nylines, m_lhom_y / 2.0, pts_y, 1, y, 1);
    Vmath::Sadd(nylines, m_lhom_y / 2.0, y, 1, y, 1);
 
    Vmath::Smul(nzlines, m_lhom_z / 2.0, pts_z, 1, z, 1);
    Vmath::Sadd(nzlines, m_lhom_z / 2.0, z, 1, z, 1);
 
    for (m = 0; m < nzlines; ++m)
    {
        for (j = 0; j < nylines; ++j)
        {
            for (n = 0; n < npoints; ++n)
            {
                Vmath::Fill(1, x[n],
                            tmp_xc = xc0 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
                Vmath::Fill(1, y[j],
                            tmp_xc = xc1 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
                Vmath::Fill(1, z[m],
                            tmp_xc = xc2 + n + (j * npoints) +
                                     (m * npoints * nylines),
                            1);
            }
        }
    }
}
 
/**
 * Write Tecplot Files Zone
 * @param   outfile    Output file name.
 * @param   expansion  Expansion that is considered
 */
void ExpList3DHomogeneous2D::v_WriteTecplotZone(std::ostream &outfile,
                                                int expansion)
{
    int i, j;
 
    int nquad0 = (*m_exp)[expansion]->GetNumPoints(0);
    int nquad1 = m_homogeneousBasis_y->GetNumPoints();
    int nquad2 = m_homogeneousBasis_z->GetNumPoints();
 
    Array<OneD, NekDouble> coords[3];
 
    coords[0] = Array<OneD, NekDouble>(3 * nquad0 * nquad1 * nquad2);
    coords[1] = coords[0] + nquad0 * nquad1 * nquad2;
    coords[2] = coords[1] + nquad0 * nquad1 * nquad2;
 
    GetCoords(expansion, coords[0], coords[1], coords[2]);
 
    outfile << "Zone, I=" << nquad0 << ", J=" << nquad1 << ",K=" << nquad2
            << ", F=Block" << std::endl;
 
    for (j = 0; j < 3; ++j)
    {
        for (i = 0; i < nquad0 * nquad1 * nquad2; ++i)
        {
            outfile << coords[j][i] << " ";
        }
        outfile << std::endl;
    }
}
 
void ExpList3DHomogeneous2D::v_WriteVtkPieceHeader(std::ostream &outfile,
                                                   int expansion, int)
{
    int i, j, k;
    int nquad0    = (*m_exp)[expansion]->GetNumPoints(0);
    int nquad1    = m_homogeneousBasis_y->GetNumPoints();
    int nquad2    = m_homogeneousBasis_z->GetNumPoints();
    int ntot      = nquad0 * nquad1 * nquad2;
    int ntotminus = (nquad0 - 1) * (nquad1 - 1) * (nquad2 - 1);
 
    Array<OneD, NekDouble> coords[3];
    coords[0] = Array<OneD, NekDouble>(ntot);
    coords[1] = Array<OneD, NekDouble>(ntot);
    coords[2] = Array<OneD, NekDouble>(ntot);
    GetCoords(expansion, coords[0], coords[1], coords[2]);
 
    outfile << "    <Piece NumberOfPoints=\"" << ntot << "\" NumberOfCells=\""
            << ntotminus << "\">" << endl;
    outfile << "      <Points>" << endl;
    outfile << "        <DataArray type=\"Float64\" "
            << "NumberOfComponents=\"3\" format=\"ascii\">" << endl;
    outfile << "          ";
    for (i = 0; i < ntot; ++i)
    {
        for (j = 0; j < 3; ++j)
        {
            outfile << coords[j][i] << " ";
        }
        outfile << endl;
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "      </Points>" << endl;
    outfile << "      <Cells>" << endl;
    outfile << "        <DataArray type=\"Int32\" "
            << "Name=\"connectivity\" format=\"ascii\">" << endl;
    for (i = 0; i < nquad0 - 1; ++i)
    {
        for (j = 0; j < nquad1 - 1; ++j)
        {
            for (k = 0; k < nquad2 - 1; ++k)
            {
                outfile << k * nquad0 * nquad1 + j * nquad0 + i << " "
                        << k * nquad0 * nquad1 + j * nquad0 + i + 1 << " "
                        << k * nquad0 * nquad1 + (j + 1) * nquad0 + i + 1 << " "
                        << k * nquad0 * nquad1 + (j + 1) * nquad0 + i << " "
                        << (k + 1) * nquad0 * nquad1 + j * nquad0 + i << " "
                        << (k + 1) * nquad0 * nquad1 + j * nquad0 + i + 1 << " "
                        << (k + 1) * nquad0 * nquad1 + (j + 1) * nquad0 + i + 1
                        << " "
                        << (k + 1) * nquad0 * nquad1 + (j + 1) * nquad0 + i
                        << " " << endl;
            }
        }
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "        <DataArray type=\"Int32\" "
            << "Name=\"offsets\" format=\"ascii\">" << endl;
    for (i = 0; i < ntotminus; ++i)
    {
        outfile << i * 8 + 8 << " ";
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "        <DataArray type=\"UInt8\" "
            << "Name=\"types\" format=\"ascii\">" << endl;
    for (i = 0; i < ntotminus; ++i)
    {
        outfile << "12 ";
    }
    outfile << endl;
    outfile << "        </DataArray>" << endl;
    outfile << "      </Cells>" << endl;
    outfile << "      <PointData>" << endl;
}
 
NekDouble ExpList3DHomogeneous2D::v_L2(
    const Array<OneD, const NekDouble> &inarray,
    const Array<OneD, const NekDouble> &soln)
{
    int cnt = 0;
    NekDouble errL2, err = 0.0;
    Array<OneD, const NekDouble> w_y = m_homogeneousBasis_y->GetW();
    Array<OneD, const NekDouble> w_z = m_homogeneousBasis_z->GetW();
 
    int nylines = m_homogeneousBasis_y->GetNumPoints();
    int nzlines = m_homogeneousBasis_z->GetNumPoints();
 
    for (int m = 0; m < nzlines; ++m)
    {
        for (int n = 0; n < nylines; ++n)
        {
            errL2 = m_lines[n + (m * nylines)]->L2(inarray + cnt, soln + cnt);
            cnt += m_lines[n + (m * nylines)]->GetTotPoints();
            err += errL2 * errL2 * w_y[n] * m_lhom_y * 0.5 * w_z[m] * m_lhom_z *
                   0.5;
        }
    }
 
    return sqrt(err);
}
} // namespace MultiRegions
} // namespace Nektar