IsentropicVortex.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File IsentropicVortex.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: Euler equations for isentropic vortex
//
///////////////////////////////////////////////////////////////////////////////
 
#include <boost/core/ignore_unused.hpp>
 
#include <CompressibleFlowSolver/EquationSystems/IsentropicVortex.h>
 
using namespace std;
 
namespace Nektar
{
string IsentropicVortex::className =
    SolverUtils::GetEquationSystemFactory().RegisterCreatorFunction(
        "IsentropicVortex", IsentropicVortex::create,
        "Euler equations for the isentropic vortex test case.");
 
IsentropicVortex::IsentropicVortex(
    const LibUtilities::SessionReaderSharedPtr &pSession,
    const SpatialDomains::MeshGraphSharedPtr &pGraph)
    : UnsteadySystem(pSession, pGraph), EulerCFE(pSession, pGraph)
{
}
 
/**
 * @brief Destructor for EulerCFE class.
 */
IsentropicVortex::~IsentropicVortex()
{
}
 
/**
 * @brief Print out a summary with some relevant information.
 */
void IsentropicVortex::v_GenerateSummary(SolverUtils::SummaryList &s)
{
    CompressibleFlowSystem::v_GenerateSummary(s);
    SolverUtils::AddSummaryItem(s, "Problem Type", "Isentropic Vortex");
}
 
/**
 * @brief Set the initial conditions.
 */
void IsentropicVortex::v_SetInitialConditions(NekDouble initialtime,
                                              bool dumpInitialConditions,
                                              const int domain)
{
    boost::ignore_unused(domain);
 
    int nTotQuadPoints = GetTotPoints();
    Array<OneD, NekDouble> x(nTotQuadPoints);
    Array<OneD, NekDouble> y(nTotQuadPoints);
    Array<OneD, NekDouble> z(nTotQuadPoints);
    Array<OneD, Array<OneD, NekDouble>> u(m_spacedim + 2);
 
    m_fields[0]->GetCoords(x, y, z);
 
    for (int i = 0; i < m_spacedim + 2; ++i)
    {
        u[i] = Array<OneD, NekDouble>(nTotQuadPoints);
    }
 
    EvaluateIsentropicVortex(x, y, z, u, initialtime);
 
    // Forward transform to fill the coefficient space
    for (int i = 0; i < m_fields.size(); ++i)
    {
        Vmath::Vcopy(nTotQuadPoints, u[i], 1, m_fields[i]->UpdatePhys(), 1);
        m_fields[i]->SetPhysState(true);
        m_fields[i]->FwdTrans(m_fields[i]->GetPhys(),
                              m_fields[i]->UpdateCoeffs());
    }
 
    if (dumpInitialConditions && m_checksteps)
    {
        // Dump initial conditions to file
        Checkpoint_Output(0);
    }
}
 
/**
 * @brief Get the exact solutions for isentropic vortex and Ringleb
 * flow problems.
 */
void IsentropicVortex::v_EvaluateExactSolution(unsigned int field,
                                               Array<OneD, NekDouble> &outfield,
                                               const NekDouble time)
{
    int nTotQuadPoints = GetTotPoints();
    Array<OneD, NekDouble> x(nTotQuadPoints);
    Array<OneD, NekDouble> y(nTotQuadPoints);
    Array<OneD, NekDouble> z(nTotQuadPoints);
    Array<OneD, Array<OneD, NekDouble>> u(m_spacedim + 2);
 
    m_fields[0]->GetCoords(x, y, z);
 
    for (int i = 0; i < m_spacedim + 2; ++i)
    {
        u[i] = Array<OneD, NekDouble>(nTotQuadPoints);
    }
 
    EvaluateIsentropicVortex(x, y, z, u, time);
 
    Vmath::Vcopy(nTotQuadPoints, u[field], 1, outfield, 1);
}
 
void IsentropicVortex::EvaluateIsentropicVortex(
    const Array<OneD, NekDouble> &x, const Array<OneD, NekDouble> &y,
    const Array<OneD, NekDouble> &z, Array<OneD, Array<OneD, NekDouble>> &u,
    NekDouble time, const int o)
{
    boost::ignore_unused(z);
 
    int nq = x.size();
 
    // Flow parameters
    const NekDouble x0    = 5.0;
    const NekDouble y0    = 0.0;
    const NekDouble beta  = 5.0;
    const NekDouble u0    = 1.0;
    const NekDouble v0    = 0.5;
    const NekDouble gamma = m_gamma;
    NekDouble r, xbar, ybar, tmp;
    NekDouble fac = 1.0 / (16.0 * gamma * M_PI * M_PI);
 
    // In 3D zero rhow field.
    if (m_spacedim == 3)
    {
        Vmath::Zero(nq, &u[3][o], 1);
    }
 
    // Fill storage
    for (int i = 0; i < nq; ++i)
    {
        xbar = x[i] - u0 * time - x0;
        ybar = y[i] - v0 * time - y0;
        r    = sqrt(xbar * xbar + ybar * ybar);
        tmp  = beta * exp(1 - r * r);
        u[0][i + o] =
            pow(1.0 - (gamma - 1.0) * tmp * tmp * fac, 1.0 / (gamma - 1.0));
        u[1][i + o] = u[0][i + o] * (u0 - tmp * ybar / (2 * M_PI));
        u[2][i + o] = u[0][i + o] * (v0 + tmp * xbar / (2 * M_PI));
        u[m_spacedim + 1][i + o] =
            pow(u[0][i + o], gamma) / (gamma - 1.0) +
            0.5 * (u[1][i + o] * u[1][i + o] + u[2][i + o] * u[2][i + o]) /
                u[0][i + o];
    }
}
 
} // namespace Nektar