CoupledAssemblyMap.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: CoupledAssemblyMap.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
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// DEALINGS IN THE SOFTWARE.
//
// Description: Coupled assembly map for linear elasticity solver.
//
///////////////////////////////////////////////////////////////////////////////
 
#include <iomanip>
 
#include <LibUtilities/BasicUtils/HashUtils.hpp>
#include <LinearElasticSolver/EquationSystems/CoupledAssemblyMap.h>
#include <LocalRegions/Expansion1D.h>
#include <LocalRegions/Expansion2D.h>
#include <LocalRegions/SegExp.h>
#include <MultiRegions/GlobalLinSysDirectStaticCond.h>
#include <SpatialDomains/MeshGraph.h>
 
namespace Nektar
{
 
using SpatialDomains::BoundaryConditionShPtr;
 
/**
 * @brief Take an existing assembly map and create a coupled version suitable
 * for use in the linear elasticity solver.
 *
 * The linear elasticity solver requires a slight reordering of local and global
 * coefficients to support problems of the form
 *
 * [ A B C ] [ u ] = [ f_u ]
 * [ D E F ] [ v ]   [ f_v ]
 * [ G H I ] [ w ]   [ f_w ]
 */
 
CoupledAssemblyMap::CoupledAssemblyMap(
    const LibUtilities::SessionReaderSharedPtr &pSession,
    [[maybe_unused]] const SpatialDomains::MeshGraphSharedPtr &graph,
    const MultiRegions::AssemblyMapCGSharedPtr &cgMap,
    [[maybe_unused]] const Array<OneD, const BoundaryCondShPtr>
        &boundaryConditions,
    const Array<OneD, MultiRegions::ExpListSharedPtr> &fields)
    : AssemblyMapCG(pSession, fields[0]->GetComm())
{
    int nVel = fields[0]->GetCoordim(0);
 
    // Multi-level static condensation doesn't work yet.
    ASSERTL0(m_solnType != MultiRegions::eDirectMultiLevelStaticCond &&
                 m_solnType != MultiRegions::eIterativeMultiLevelStaticCond &&
                 m_solnType != MultiRegions::eXxtMultiLevelStaticCond,
             "Multi-level static condensation not supported.");
 
    // Copy various coefficient counts, and multiply by the dimension of the
    // problem to obtain our new values.
    m_numLocalDirBndCoeffs  = cgMap->GetNumLocalDirBndCoeffs() * nVel;
    m_numLocalBndCoeffs     = cgMap->GetNumLocalBndCoeffs() * nVel;
    m_numLocalCoeffs        = cgMap->GetNumLocalCoeffs() * nVel;
    m_numGlobalBndCoeffs    = cgMap->GetNumGlobalBndCoeffs() * nVel;
    m_numGlobalDirBndCoeffs = cgMap->GetNumGlobalDirBndCoeffs() * nVel;
    m_numGlobalCoeffs       = cgMap->GetNumGlobalCoeffs() * nVel;
    m_signChange            = cgMap->GetSignChange();
    m_systemSingular        = cgMap->GetSingularSystem();
 
    // Copy static condensation information. TODO: boundary and interior patches
    // need to be re-ordered in order to allow for multi-level static
    // condensation support.
    m_staticCondLevel           = cgMap->GetStaticCondLevel();
    m_lowestStaticCondLevel     = cgMap->GetLowestStaticCondLevel();
    m_numPatches                = cgMap->GetNumPatches();
    m_numLocalBndCoeffsPerPatch = cgMap->GetNumLocalBndCoeffsPerPatch();
    m_numLocalIntCoeffsPerPatch = cgMap->GetNumLocalIntCoeffsPerPatch();
 
    // Allocate storage for local to global maps.
    m_localToGlobalMap    = Array<OneD, int>(m_numLocalCoeffs, -1);
    m_localToGlobalBndMap = Array<OneD, int>(m_numLocalBndCoeffs, -1);
    m_localToLocalBndMap  = Array<OneD, int>(m_numLocalBndCoeffs, -1);
    m_localToLocalIntMap =
        Array<OneD, int>(m_numLocalCoeffs - m_numLocalBndCoeffs, -1);
 
    // Only require a sign map if we are using modal polynomials in the
    // expansion and the order is >= 3.
    if (m_signChange)
    {
        m_localToGlobalSign = Array<OneD, NekDouble>(m_numLocalCoeffs, 1.0);
        m_localToGlobalBndSign =
            Array<OneD, NekDouble>(m_numLocalBndCoeffs, 1.0);
    }
    else
    {
        m_localToGlobalSign    = NullNekDouble1DArray;
        m_localToGlobalBndSign = NullNekDouble1DArray;
    }
 
    const LocalRegions::ExpansionVector &locExpVector = *(fields[0]->GetExp());
 
    std::map<int, int> newGlobalIds;
    int i, j, n, cnt1, cnt2;
 
    // Order local boundary degrees of freedom. These are basically fine; we
    // reorder storage so that we loop over each element and then each component
    // of velocity, by applying a mapping l2g -> nVel*l2g + n, for 0 <= n <
    // nVel. Note that Dirichlet ordering is preserved under this
    // transformation.
    cnt1 = cnt2 = 0;
    for (i = 0; i < locExpVector.size(); ++i)
    {
        const int nBndCoeffs = locExpVector[i]->NumBndryCoeffs();
 
        for (n = 0; n < nVel; ++n)
        {
 
            for (j = 0; j < nBndCoeffs; ++j, ++cnt1)
            {
                const int l2g = cgMap->GetLocalToGlobalBndMap()[cnt2 + j];
                m_localToGlobalBndMap[cnt1] = nVel * l2g + n;
 
                if (m_signChange)
                {
                    m_localToGlobalBndSign[cnt1] =
                        cgMap->GetLocalToGlobalBndSign()[cnt2 + j];
                }
 
                if (n == 0)
                {
                    const int l2gnew = m_localToGlobalBndMap[cnt1];
                    if (newGlobalIds.count(l2g))
                    {
                        ASSERTL1(newGlobalIds[l2g] == l2gnew,
                                 "Consistency error");
                    }
                    newGlobalIds[l2g] = l2gnew;
                }
            }
        }
 
        cnt2 += nBndCoeffs;
    }
 
    // Counter for remaining interior degrees of freedom.
    int globalId = m_numGlobalBndCoeffs;
 
    // Interior degrees of freedom are a bit more tricky -- global linear system
    // solve relies on them being in the same order as the BinvD, C and invD
    // matrices.
 
    // Also set up the localToBndMap and localTolocalIntMap which just
    // take out the boundary blocks and interior blocks from the input
    // ordering where we have bnd and interior for each elements
    cnt1 = cnt2 = 0;
    int bnd_cnt = 0;
    int int_cnt = 0;
    for (i = 0; i < locExpVector.size(); ++i)
    {
        const int nCoeffs    = locExpVector[i]->GetNcoeffs();
        const int nBndCoeffs = locExpVector[i]->NumBndryCoeffs();
 
        for (n = 0; n < nVel; ++n)
        {
            for (j = 0; j < nBndCoeffs; ++j, ++cnt1, ++cnt2)
            {
                m_localToLocalBndMap[bnd_cnt++] = cnt1;
 
                const int l2g            = m_localToGlobalBndMap[cnt2];
                m_localToGlobalMap[cnt1] = l2g;
 
                if (m_signChange)
                {
                    m_localToGlobalSign[cnt1] = m_localToGlobalBndSign[cnt2];
                }
            }
        }
 
        for (n = 0; n < nVel; ++n)
        {
            for (j = 0; j < nCoeffs - nBndCoeffs; ++j, ++cnt1)
            {
                m_localToLocalIntMap[int_cnt++] = cnt1;
 
                m_localToGlobalMap[cnt1] = globalId++;
            }
        }
    }
 
    for (i = 0; i < m_localToGlobalMap.size(); ++i)
    {
        ASSERTL1(m_localToGlobalMap[i] != -1, "Consistency error");
    }
 
    ASSERTL1(globalId == m_numGlobalCoeffs, "Consistency error");
 
    // Finally, set up global to universal maps.
    m_globalToUniversalMap          = Array<OneD, int>(m_numGlobalCoeffs);
    m_globalToUniversalMapUnique    = Array<OneD, int>(m_numGlobalCoeffs);
    m_globalToUniversalBndMap       = Array<OneD, int>(m_numGlobalBndCoeffs);
    m_globalToUniversalBndMapUnique = Array<OneD, int>(m_numGlobalBndCoeffs);
 
    for (i = 0; i < cgMap->GetNumGlobalBndCoeffs(); ++i)
    {
        for (n = 0; n < nVel; ++n)
        {
            m_globalToUniversalBndMap[i * nVel + n] =
                cgMap->GetGlobalToUniversalBndMap()[i] * nVel + n;
            m_globalToUniversalMap[i * nVel + n] =
                cgMap->GetGlobalToUniversalBndMap()[i] * nVel + n;
        }
    }
 
    Array<OneD, long> tmp(m_numGlobalCoeffs);
    Vmath::Zero(m_numGlobalCoeffs, tmp, 1);
    Array<OneD, long> tmp2(m_numGlobalBndCoeffs, tmp);
    for (unsigned int i = 0; i < m_numGlobalBndCoeffs; ++i)
    {
        tmp[i] = m_globalToUniversalBndMap[i];
    }
 
    LibUtilities::CommSharedPtr vCommRow = m_comm->GetRowComm();
    m_gsh                                = Gs::Init(tmp, vCommRow);
    m_bndGsh                             = Gs::Init(tmp2, vCommRow);
    Gs::Unique(tmp, vCommRow);
    for (unsigned int i = 0; i < m_numGlobalCoeffs; ++i)
    {
        m_globalToUniversalMapUnique[i] = (tmp[i] >= 0 ? 1 : 0);
    }
    for (unsigned int i = 0; i < m_numGlobalBndCoeffs; ++i)
    {
        m_globalToUniversalBndMapUnique[i] = (tmp2[i] >= 0 ? 1 : 0);
    }
 
    m_hash = hash_range(m_localToGlobalMap.begin(), m_localToGlobalMap.end());
}
 
} // namespace Nektar