MappingTranslation.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: MappingTranslation.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: Trivial mapping for translation transformation
//
///////////////////////////////////////////////////////////////////////////////
 
#include <GlobalMapping/MappingTranslation.h>
#include <MultiRegions/ExpList.h>
 
namespace Nektar::GlobalMapping
{
 
std::string MappingTranslation::className =
    GetMappingFactory().RegisterCreatorFunction(
        "Translation", MappingTranslation::create,
        "Translation mapping (X_i = x_i + constant)");
 
/**
 * @class MappingTranslation
 * This class implements a trivial mapping defined by
 * \f[ \bar{x} = x + c_1 \f]
 * \f[ \bar{y} = y + c_2 \f]
 * \f[ \bar{z} = z + c_3 \f]
 * where \f$c_i\f$ are constants, \f$(\bar{x},\bar{y},\bar{z})\f$ are the
 * Cartesian (physical) coordinates and \f$(x,y,z)\f$ are the transformed
 * (computational) coordinates.
 */
MappingTranslation::MappingTranslation(
    const LibUtilities::SessionReaderSharedPtr &pSession,
    const Array<OneD, MultiRegions::ExpListSharedPtr> &pFields)
    : Mapping(pSession, pFields)
{
}
 
/**
 *
 */
void MappingTranslation::v_InitObject(
    const Array<OneD, MultiRegions::ExpListSharedPtr> &pFields,
    const TiXmlElement *pMapping)
{
    m_constantJacobian = true;
    // When there is no Mapping object defined, use the identity
    //      transformation as a default
    if (m_session->DefinesElement("Nektar/Mapping"))
    {
        Mapping::v_InitObject(pFields, pMapping);
    }
    else
    {
        int phystot = pFields[0]->GetTotPoints();
 
        m_timeDependent = false;
 
        m_coords    = Array<OneD, Array<OneD, NekDouble>>(3);
        m_coordsVel = Array<OneD, Array<OneD, NekDouble>>(3);
        for (int i = 0; i < 3; i++)
        {
            m_coords[i]    = Array<OneD, NekDouble>(phystot);
            m_coordsVel[i] = Array<OneD, NekDouble>(phystot, 0.0);
        }
 
        m_fields[0]->GetCoords(m_coords[0], m_coords[1], m_coords[2]);
 
        // Initialise workspace variables
        m_tmp = Array<OneD, Array<OneD, NekDouble>>(m_nConvectiveFields);
        for (int i = 0; i < m_nConvectiveFields; i++)
        {
            m_tmp[i] = Array<OneD, NekDouble>(phystot, 0.0);
        }
    }
}
 
void MappingTranslation::v_ContravarToCartesian(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
 
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_CovarToCartesian(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
 
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_ContravarFromCartesian(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
 
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_CovarFromCartesian(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
 
    for (int i = 0; i < m_nConvectiveFields; ++i)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_GetJacobian(Array<OneD, NekDouble> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    Vmath::Fill(physTot, 1.0, outarray, 1);
}
 
void MappingTranslation::v_DotGradJacobian(
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, NekDouble> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
 
    Vmath::Zero(physTot, outarray, 1);
}
 
void MappingTranslation::v_GetMetricTensor(
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel * nvel; i++)
    {
        outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
    }
    // Fill diagonal with 1.0
    for (int i = 0; i < nvel; i++)
    {
        Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
                    outarray[i + nvel * i], 1);
    }
}
 
void MappingTranslation::v_GetInvMetricTensor(
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel * nvel; i++)
    {
        outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
    }
    // Fill diagonal with 1.0
    for (int i = 0; i < nvel; i++)
    {
        Vmath::Sadd(physTot, 1.0, outarray[i + nvel * i], 1,
                    outarray[i + nvel * i], 1);
    }
}
 
void MappingTranslation::v_RaiseIndex(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel; i++)
    {
        outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
    }
    // Copy
    for (int i = 0; i < nvel; i++)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_LowerIndex(
    const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel; i++)
    {
        outarray[i] = Array<OneD, NekDouble>(physTot, 0.0);
    }
    // Copy
    for (int i = 0; i < nvel; i++)
    {
        Vmath::Vcopy(physTot, inarray[i], 1, outarray[i], 1);
    }
}
 
void MappingTranslation::v_ApplyChristoffelContravar(
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel; i++)
    {
        for (int j = 0; j < nvel; j++)
        {
            outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
        }
    }
}
 
void MappingTranslation::v_ApplyChristoffelCovar(
    [[maybe_unused]] const Array<OneD, Array<OneD, NekDouble>> &inarray,
    Array<OneD, Array<OneD, NekDouble>> &outarray)
{
    int physTot = m_fields[0]->GetTotPoints();
    int nvel    = m_nConvectiveFields;
 
    for (int i = 0; i < nvel; i++)
    {
        for (int j = 0; j < nvel; j++)
        {
            outarray[i * nvel + j] = Array<OneD, NekDouble>(physTot, 0.0);
        }
    }
}
 
void MappingTranslation::v_UpdateGeomInfo()
{
}
 
} // namespace Nektar::GlobalMapping