QHDTEqn.H

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    Copyright (C) 2019 OpenCFD Ltd.
    Copyright (C) 2016-2019 ISP RAS (www.ispras.ru) UniCFD Group (www.unicfd.ru)
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License
    This file is part of OpenFOAM.

    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

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Application
    QHDFoam

Description
    Solver for unsteady 3D turbulent flow of incompressible fluid governed by
    quasi-hydrodynamic dynamic (QHD) equations.

    QHD system of equations has been developed by scientific group from
    Keldysh Institute of Applied Mathematics,
    see http://elizarova.imamod.ru/selection-of-papers.html

    A comprehensive description of QGD equations and their applications
    can be found here:
    \verbatim
    Elizarova, T.G.
    "Quasi-Gas Dynamic equations"
    Springer, 2009
    \endverbatim

    A brief of theory on QGD and QHD system of equations:
    \verbatim
    Elizarova, T.G. and Sheretov, Y.V.
    "Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic
    equations"
    J. Computational Mathematics and Mathematical Physics, vol. 41, no. 2, pp 219-234,
    2001
    \endverbatim

    Developed by UniCFD group (www.unicfd.ru) of ISP RAS (www.ispras.ru).


\*---------------------------------------------------------------------------*/


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

{
    phiTf = qgdFlux(phi,T,Tf);
    surfaceScalarField phiTauTReg = tauQGDf*phiu*(Uf & gradTf);
    
    // --- Solve T
    if (implicitDiffusion)
    {
        solve
        (
            fvm::ddt(T)
          + fvc::div(phiTf)
          - fvm::laplacian(Hif,T)
          - fvc::div(phiTauTReg)
          ==
          TSu
        );
    }
    else
    {
        solve
        (
            fvm::ddt(T)
          + fvc::div(phiTf)
          - fvc::laplacian(Hif,T)
          - fvc::div(phiTauTReg)
          ==
          TSu
        );
    }
    
    Info << "max/min of T: " << max(T).value() << "/" << min(T).value() << endl;
}