applications/solvers/compressible/rhoCentralFoam/rhoCentralFoam.C

   1 /*---------------------------------------------------------------------------*\
   2   =========                 |
   3   \\      /  F ield         | foam-extend: Open Source CFD
   4    \\    /   O peration     | Version:     3.2
   5     \\  /    A nd           | Web:         http://www.foam-extend.org
   6      \\/     M anipulation  | For copyright notice see file Copyright
   7 -------------------------------------------------------------------------------
   8 License
   9     This file is part of foam-extend.
  10
  11     foam-extend is free software: you can redistribute it and/or modify it
  12     under the terms of the GNU General Public License as published by the
  13     Free Software Foundation, either version 3 of the License, or (at your
  14     option) any later version.
  15
  16     foam-extend is distributed in the hope that it will be useful, but
  17     WITHOUT ANY WARRANTY; without even the implied warranty of
  18     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  19     General Public License for more details.
  20
  21     You should have received a copy of the GNU General Public License
  22     along with foam-extend.  If not, see <http://www.gnu.org/licenses/>.
  23
  24 Application
  25     rhoCentralFoam
  26
  27 Description
  28     Density-based compressible flow solver based on central-upwind schemes of
  29     Kurganov and Tadmor
  30
  31 \*---------------------------------------------------------------------------*/
  32
  33 #include "fvCFD.H"
  34 #include "basicPsiThermo.H"
  35 #include "zeroGradientFvPatchFields.H"
  36 #include "fixedRhoFvPatchScalarField.H"
  37
  38 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  39
  40 int main(int argc, char *argv[])
  41 {
  42 #   include "setRootCase.H"
  43
  44 #   include "createTime.H"
  45 #   include "createMesh.H"
  46 #   include "createFields.H"
  47 #   include "readThermophysicalProperties.H"
  48 #   include "readTimeControls.H"
  49
  50 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
  51
  52 #   include "readFluxScheme.H"
  53
  54     dimensionedScalar v_zero("v_zero",dimVolume/dimTime, 0.0);
  55
  56     Info<< "\nStarting time loop\n" << endl;
  57
  58     while (runTime.run())
  59     {
  60         // --- upwind interpolation of primitive fields on faces
  61
  62         surfaceScalarField rho_pos =
  63             fvc::interpolate(rho, pos, "reconstruct(rho)");
  64         surfaceScalarField rho_neg =
  65             fvc::interpolate(rho, neg, "reconstruct(rho)");
  66
  67         surfaceVectorField rhoU_pos =
  68             fvc::interpolate(rhoU, pos, "reconstruct(U)");
  69         surfaceVectorField rhoU_neg =
  70             fvc::interpolate(rhoU, neg, "reconstruct(U)");
  71
  72         volScalarField rPsi = 1.0/psi;
  73         surfaceScalarField rPsi_pos =
  74             fvc::interpolate(rPsi, pos, "reconstruct(T)");
  75         surfaceScalarField rPsi_neg =
  76             fvc::interpolate(rPsi, neg, "reconstruct(T)");
  77
  78         surfaceScalarField e_pos =
  79             fvc::interpolate(e, pos, "reconstruct(T)");
  80         surfaceScalarField e_neg =
  81             fvc::interpolate(e, neg, "reconstruct(T)");
  82
  83         surfaceVectorField U_pos = rhoU_pos/rho_pos;
  84         surfaceVectorField U_neg = rhoU_neg/rho_neg;
  85
  86         surfaceScalarField p_pos = rho_pos*rPsi_pos;
  87         surfaceScalarField p_neg = rho_neg*rPsi_neg;
  88
  89         surfaceScalarField phiv_pos = U_pos & mesh.Sf();
  90         surfaceScalarField phiv_neg = U_neg & mesh.Sf();
  91
  92         volScalarField c = sqrt(thermo.Cp()/thermo.Cv()*rPsi);
  93         surfaceScalarField cSf_pos = fvc::interpolate(c, pos, "reconstruct(T)")*mesh.magSf();
  94         surfaceScalarField cSf_neg = fvc::interpolate(c, neg, "reconstruct(T)")*mesh.magSf();
  95
  96         surfaceScalarField ap = max(max(phiv_pos + cSf_pos, phiv_neg + cSf_neg), v_zero);
  97         surfaceScalarField am = min(min(phiv_pos - cSf_pos, phiv_neg - cSf_neg), v_zero);
  98
  99         surfaceScalarField a_pos = ap/(ap - am);
 100
 101         surfaceScalarField amaxSf("amaxSf", max(mag(am), mag(ap)));
 102
 103         surfaceScalarField aSf = am*a_pos;
 104
 105         if (fluxScheme == "Tadmor")
 106         {
 107             aSf = -0.5*amaxSf;
 108             a_pos = 0.5;
 109         }
 110
 111         surfaceScalarField a_neg = (1.0 - a_pos);
 112
 113         phiv_pos *= a_pos;
 114         phiv_neg *= a_neg;
 115
 116         surfaceScalarField aphiv_pos = phiv_pos - aSf;
 117         surfaceScalarField aphiv_neg = phiv_neg + aSf;
 118
 119         // Reuse amaxSf for the maximum positive and negative fluxes
 120         // estimated by the central scheme
 121         amaxSf = max(mag(aphiv_pos), mag(aphiv_neg));
 122
 123         #include "compressibleCourantNo.H"
 124         #include "readTimeControls.H"
 125         #include "setDeltaT.H"
 126
 127         runTime++;
 128
 129         Info<< "Time = " << runTime.timeName() << nl << endl;
 130
 131         surfaceScalarField phi("phi", aphiv_pos*rho_pos + aphiv_neg*rho_neg);
 132
 133         surfaceVectorField phiUp =
 134             (aphiv_pos*rhoU_pos + aphiv_neg*rhoU_neg)
 135           + (a_pos*p_pos + a_neg*p_neg)*mesh.Sf();
 136
 137         surfaceScalarField phiEp =
 138             aphiv_pos*(rho_pos*(e_pos + 0.5*magSqr(U_pos)) + p_pos)
 139           + aphiv_neg*(rho_neg*(e_neg + 0.5*magSqr(U_neg)) + p_neg)
 140           + aSf*p_pos - aSf*p_neg;
 141
 142         volTensorField tauMC("tauMC", mu*dev2(fvc::grad(U)().T()));
 143
 144         // --- Solve density
 145         solve(fvm::ddt(rho) + fvc::div(phi));
 146
 147         // --- Solve momentum
 148         solve(fvm::ddt(rhoU) + fvc::div(phiUp));
 149
 150         U.dimensionedInternalField() =
 151             rhoU.dimensionedInternalField()
 152            /rho.dimensionedInternalField();
 153         U.correctBoundaryConditions();
 154         rhoU.boundaryField() = rho.boundaryField()*U.boundaryField();
 155
 156         volScalarField rhoBydt(rho/runTime.deltaT());
 157
 158         if (!inviscid)
 159         {
 160             solve
 161             (
 162                 fvm::ddt(rho, U) - fvc::ddt(rho, U)
 163               - fvm::laplacian(mu, U)
 164               - fvc::div(tauMC)
 165             );
 166             rhoU = rho*U;
 167         }
 168
 169         // --- Solve energy
 170         surfaceScalarField sigmaDotU =
 171         (
 172             (
 173                 fvc::interpolate(mu)*mesh.magSf()*fvc::snGrad(U)
 174               + (mesh.Sf() & fvc::interpolate(tauMC))
 175             )
 176             & (a_pos*U_pos + a_neg*U_neg)
 177         );
 178
 179         solve
 180         (
 181             fvm::ddt(rhoE)
 182           + fvc::div(phiEp)
 183           - fvc::div(sigmaDotU)
 184         );
 185
 186         e = rhoE/rho - 0.5*magSqr(U);
 187         e.correctBoundaryConditions();
 188         thermo.correct();
 189         rhoE.boundaryField() =
 190             rho.boundaryField()*
 191             (
 192                 e.boundaryField() + 0.5*magSqr(U.boundaryField())
 193             );
 194
 195         if (!inviscid)
 196         {
 197             volScalarField k("k", thermo.Cp()*mu/Pr);
 198             solve
 199             (
 200                 fvm::ddt(rho, e) - fvc::ddt(rho, e)
 201               - fvm::laplacian(thermo.alpha(), e)
 202               + fvc::laplacian(thermo.alpha(), e)
 203               - fvc::laplacian(k, T)
 204             );
 205             thermo.correct();
 206             rhoE = rho*(e + 0.5*magSqr(U));
 207         }
 208
 209         p.dimensionedInternalField() =
 210             rho.dimensionedInternalField()
 211            /psi.dimensionedInternalField();
 212         p.correctBoundaryConditions();
 213         rho.boundaryField() = psi.boundaryField()*p.boundaryField();
 214
 215         runTime.write();
 216
 217         Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
 218             << "  ClockTime = " << runTime.elapsedClockTime() << " s"
 219             << nl << endl;
 220     }
 221
 222     Info<< "End\n" << endl;
 223
 224     return 0;
 225 }
 226
 227 // ************************************************************************* //