ReducedSimpleSteadyNS.C

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 * In real Time Highly Advanced Computational Applications for Finite Volumes
 * Copyright (C) 2017 by the ITHACA-FV authors
-------------------------------------------------------------------------------
 
License
    This file is part of ITHACA-FV
 
    ITHACA-FV is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    ITHACA-FV is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
    GNU Lesser General Public License for more details.
 
    You should have received a copy of the GNU Lesser General Public License
    along with ITHACA-FV. If not, see <http://www.gnu.org/licenses/>.
 
\*---------------------------------------------------------------------------*/
 
 
#include "ReducedSimpleSteadyNS.H"
 
// * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * * * //
 
// Constructor
reducedSimpleSteadyNS::reducedSimpleSteadyNS()
{
}
 
reducedSimpleSteadyNS::reducedSimpleSteadyNS(SteadyNSSimple& FOMproblem)
    :
    problem(&FOMproblem)
{
    // Create a new Umodes set where the first ones are the lift functions
    for (int i = 0; i < problem->inletIndex.rows(); i++)
    {
        ULmodes.append((problem->liftfield[i]).clone());
    }
 
    for (int i = 0; i < problem->Umodes.size(); i++)
    {
        ULmodes.append((problem->Umodes.toPtrList()[i]).clone());
    }
}
 
// * * * * * * * * * * * * * * * Solve Functions  * * * * * * * * * * * * * //
 
 
void reducedSimpleSteadyNS::solveOnline_Simple(scalar mu_now,
        int NmodesUproj, int NmodesPproj, int NmodesNut, int NmodesSup,
        word Folder)
{
    ULmodes.resize(0);
 
    for (int i = 0; i < problem->inletIndex.rows(); i++)
    {
        ULmodes.append((problem->liftfield[i]).clone());
    }
 
    for (int i = 0; i < NmodesUproj; i++)
    {
        ULmodes.append((problem->Umodes.toPtrList()[i]).clone());
    }
 
    for (int i = 0; i < NmodesSup; i++)
    {
        ULmodes.append((problem->supmodes.toPtrList()[i]).clone());
    }
 
    counter++;
 
    if (NmodesUproj == 0)
    {
        UprojN = ULmodes.size();
    }
    else
    {
        UprojN = NmodesUproj + NmodesSup;
    }
 
    if (NmodesPproj == 0)
    {
        PprojN = problem->Pmodes.size();
    }
    else
    {
        PprojN = NmodesPproj;
    }
 
    if (NmodesNut == 0)
    {
        NmodesNut = problem->nutModes.size();
    }
 
    Eigen::VectorXd uresidualOld = Eigen::VectorXd::Zero(UprojN);
    Eigen::VectorXd presidualOld = Eigen::VectorXd::Zero(PprojN);
    Eigen::VectorXd uresidual = Eigen::VectorXd::Zero(UprojN);
    Eigen::VectorXd presidual = Eigen::VectorXd::Zero(PprojN);
    scalar U_norm_res(1);
    scalar P_norm_res(1);
    Eigen::MatrixXd a = Eigen::VectorXd::Zero(UprojN);
    Eigen::MatrixXd b = Eigen::VectorXd::Zero(PprojN);
    a(0) = vel_now(0, 0);
    float residualJumpLim =
        problem->para->ITHACAdict->lookupOrDefault<float>("residualJumpLim", 1e-5);
    float normalizedResidualLim =
        problem->para->ITHACAdict->lookupOrDefault<float>("normalizedResidualLim",
                1e-5);
    maxIterOn = problem->para->ITHACAdict->lookupOrDefault<int>("maxIterOn",
                1000);
    scalar residual_jump(1 + residualJumpLim);
    //problem->restart();
    volScalarField& P = problem->_p();
    volVectorField& U = problem->_U();
    fvMesh& mesh = problem->_mesh();
    Time& runTime = problem->_runTime();
    P.rename("p");
    surfaceScalarField& phi(problem->_phi());
    ULmodes.reconstruct(U, a, "U");
    problem->Pmodes.reconstruct(P, b, "p");
    phi = fvc::interpolate(U) & U.mesh().Sf();
    int iter = 0;
    simpleControl& simple = problem->_simple();
 
    if (ITHACAutilities::isTurbulent())
    {
        Eigen::MatrixXd nutCoeff;
        nutCoeff.resize(NmodesNut, 1);
 
        for (int i = 0; i < NmodesNut; i++)
        {
            Eigen::MatrixXd muEval;
            muEval.resize(1, 1);
            muEval(0, 0) = mu_now;
            nutCoeff(i, 0) = problem->rbfSplines[i]->eval(muEval);
        }
 
        volScalarField& nut = const_cast<volScalarField&>
                              (problem->_mesh().lookupObject<volScalarField>("nut"));
        problem->nutModes.reconstruct(nut, nutCoeff, "nut");
        ITHACAstream::exportSolution(nut, name(counter), Folder);
    }
 
    PtrList<volVectorField> gradModP;
 
    for (int i = 0; i < NmodesPproj; i++)
    {
        gradModP.append(fvc::grad(problem->Pmodes[i]));
    }
 
    projGradModP = ULmodes.project(gradModP, NmodesUproj);
 
    while ((residual_jump > residualJumpLim
            || std::max(U_norm_res, P_norm_res) > normalizedResidualLim)
            && iter < maxIterOn)
    {
        iter++;
        std::cout << "Iteration " << iter << std::endl;
#if defined(OFVER) && (OFVER == 6)
        simple.loop(runTime);
#else
        simple.loop();
#endif
        volScalarField nueff = problem->turbulence->nuEff().ref();
        fvVectorMatrix UEqn
        (
            fvm::div(phi, U)
            - fvm::laplacian(nueff, U)
            - fvc::div(nueff * dev2(T(fvc::grad(U))))
        );
        UEqn.relax();
        List<Eigen::MatrixXd> RedLinSysU = ULmodes.project(UEqn, UprojN);
        RedLinSysU[1] = RedLinSysU[1] - projGradModP * b;
        a = reducedProblem::solveLinearSys(RedLinSysU, a, uresidual, vel_now);
        ULmodes.reconstruct(U, a, "U");
        volScalarField rAU(1.0 / UEqn.A());
        volVectorField HbyA(constrainHbyA(1.0 / UEqn.A() * UEqn.H(), U, P));
        surfaceScalarField phiHbyA("phiHbyA", fvc::flux(HbyA));
        adjustPhi(phiHbyA, U, P);
        tmp<volScalarField> rAtU(rAU);
 
        if (simple.consistent())
        {
            rAtU = 1.0 / (1.0 / rAU - UEqn.H1());
            phiHbyA +=
                fvc::interpolate(rAtU() - rAU) * fvc::snGrad(P) * mesh.magSf();
            HbyA -= (rAU - rAtU()) * fvc::grad(P);
        }
 
        List<Eigen::MatrixXd> RedLinSysP;
 
        while (simple.correctNonOrthogonal())
        {
            fvScalarMatrix pEqn
            (
                fvm::laplacian(rAtU(), P) == fvc::div(phiHbyA)
            );
            RedLinSysP = problem->Pmodes.project(pEqn, PprojN);
            b = reducedProblem::solveLinearSys(RedLinSysP, b, presidual);
            problem->Pmodes.reconstruct(P, b, "p");
 
            if (simple.finalNonOrthogonalIter())
            {
                phi = phiHbyA - pEqn.flux();
            }
        }
 
        P.relax();
        U = HbyA - rAtU() * fvc::grad(P);
        U.correctBoundaryConditions();
        uresidualOld = uresidualOld - uresidual;
        presidualOld = presidualOld - presidual;
        uresidualOld = uresidualOld.cwiseAbs();
        presidualOld = presidualOld.cwiseAbs();
        residual_jump = std::max(uresidualOld.sum(), presidualOld.sum());
        uresidualOld = uresidual;
        presidualOld = presidual;
        uresidual = uresidual.cwiseAbs();
        presidual = presidual.cwiseAbs();
        U_norm_res = uresidual.sum() / (RedLinSysU[1].cwiseAbs()).sum();
        P_norm_res = presidual.sum() / (RedLinSysP[1].cwiseAbs()).sum();
 
        if (problem->para->debug)
        {
            std::cout << "Residual jump = " << residual_jump << std::endl;
            std::cout << "Normalized residual = " << std::max(U_norm_res,
                      P_norm_res) << std::endl;
        }
    }
 
    std::cout << "Solution " << counter << " converged in " << iter <<
              " iterations." << std::endl;
    std::cout << "Final normalized residual for velocity: " << U_norm_res <<
              std::endl;
    std::cout << "Final normalized residual for pressure: " << P_norm_res <<
              std::endl;
    ULmodes.reconstruct(U, a, "Uaux");
    P.rename("Paux");
    problem->Pmodes.reconstruct(P, b, "Paux");
    ITHACAstream::exportSolution(U, name(counter), Folder);
    ITHACAstream::exportSolution(P, name(counter), Folder);
    runTime.setTime(runTime.startTime(), 0);
}
 
void reducedSimpleSteadyNS::setOnlineVelocity(Eigen::MatrixXd vel)
{
    M_Assert(problem->inletIndex.rows() == vel.size(),
             "Imposed boundary conditions dimensions do not match given values matrix dimensions");
    Eigen::MatrixXd vel_scal;
    vel_scal.resize(vel.rows(), vel.cols());
 
    for (int k = 0; k < problem->inletIndex.rows(); k++)
    {
        int p = problem->inletIndex(k, 0);
        int l = problem->inletIndex(k, 1);
        scalar area = gSum(problem->liftfield[0].mesh().magSf().boundaryField()[p]);
        scalar u_lf = gSum(problem->liftfield[k].mesh().magSf().boundaryField()[p] *
                           problem->liftfield[k].boundaryField()[p]).component(l) / area;
        vel_scal(k, 0) = vel(k, 0) / u_lf;
    }
 
    vel_now = vel_scal;
}