kOmegaSST.H

/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
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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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    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
    for more details.

    You should have received a copy of the GNU General Public License
    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.

Class
    Foam::compressible::RASModels::kOmegaSST

Description
    Implementation of the k-omega-SST turbulence model for compressible flows.

    Turbulence model described in:
    \verbatim
        Menter, F., Esch, T.
        "Elements of Industrial Heat Transfer Prediction"
        16th Brazilian Congress of Mechanical Engineering (COBEM),
        Nov. 2001
    \endverbatim

    with the addition of the optional F3 term for rough walls from
    \verbatim
        Hellsten, A.
        "Some Improvements in Menter’s k-omega-SST turbulence model"
        29th AIAA Fluid Dynamics Conference,
        AIAA-98-2554,
        June 1998.
    \endverbatim

    Note that this implementation is written in terms of alpha diffusion
    coefficients rather than the more traditional sigma (alpha = 1/sigma) so
    that the blending can be applied to all coefficuients in a consistent
    manner.  The paper suggests that sigma is blended but this would not be
    consistent with the blending of the k-epsilon and k-omega models.

    Also note that the error in the last term of equation (2) relating to
    sigma has been corrected.

    Wall-functions are applied in this implementation by using equations (14)
    to specify the near-wall omega as appropriate.

    The blending functions (15) and (16) are not currently used because of the
    uncertainty in their origin, range of applicability and that is y+ becomes
    sufficiently small blending u_tau in this manner clearly becomes nonsense.

    The default model coefficients correspond to the following:
    \verbatim
        kOmegaSSTCoeffs
        {
            alphaK1     0.85034;
            alphaK2     1.0;
            alphaOmega1 0.5;
            alphaOmega2 0.85616;
            Prt         1.0;    // only for compressible
            beta1       0.075;
            beta2       0.0828;
            betaStar    0.09;
            gamma1      0.5532;
            gamma2      0.4403;
            a1          0.31;
            b1          1.0;
            c1          10.0;
            F3          no;
        }
    \endverbatim

SourceFiles
    kOmegaSST.C

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

#ifndef compressiblekOmegaSST_H
#define compressiblekOmegaSST_H

#include "RASModel.H"
#include "wallDist.H"

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

namespace Foam
{
namespace compressible
{
namespace RASModels
{

/*---------------------------------------------------------------------------*\
                          Class kOmegaSST Declaration
\*---------------------------------------------------------------------------*/

class kOmegaSST
:
    public RASModel
{

protected:

    // Protected data

        // Model coefficients

            dimensionedScalar alphaK1_;
            dimensionedScalar alphaK2_;

            dimensionedScalar alphaOmega1_;
            dimensionedScalar alphaOmega2_;

            dimensionedScalar Prt_;

            dimensionedScalar gamma1_;
            dimensionedScalar gamma2_;

            dimensionedScalar beta1_;
            dimensionedScalar beta2_;

            dimensionedScalar betaStar_;

            dimensionedScalar a1_;
            dimensionedScalar b1_;
            dimensionedScalar c1_;

            Switch F3_;


        //- Wall distance
        //  Note: different to wall distance in parent RASModel
        wallDist y_;

        // Fields

            volScalarField k_;
            volScalarField omega_;
            volScalarField mut_;
            volScalarField alphat_;


    // Private Member Functions

        tmp<volScalarField> F1(const volScalarField& CDkOmega) const;
        tmp<volScalarField> F2() const;
        tmp<volScalarField> F3() const;
        tmp<volScalarField> F23() const;

        tmp<volScalarField> blend
        (
            const volScalarField& F1,
            const dimensionedScalar& psi1,
            const dimensionedScalar& psi2
        ) const
        {
            return F1*(psi1 - psi2) + psi2;
        }

        tmp<volScalarField> alphaK(const volScalarField& F1) const
        {
            return blend(F1, alphaK1_, alphaK2_);
        }

        tmp<volScalarField> alphaOmega(const volScalarField& F1) const
        {
            return blend(F1, alphaOmega1_, alphaOmega2_);
        }

        tmp<volScalarField> beta(const volScalarField& F1) const
        {
            return blend(F1, beta1_, beta2_);
        }

        tmp<volScalarField> gamma(const volScalarField& F1) const
        {
            return blend(F1, gamma1_, gamma2_);
        }


public:

    //- Runtime type information
    TypeName("kOmegaSST");


    // Constructors

        //- Construct from components
        kOmegaSST
        (
            const volScalarField& rho,
            const volVectorField& U,
            const surfaceScalarField& phi,
            const basicThermo& thermophysicalModel,
            const word& turbulenceModelName = turbulenceModel::typeName,
            const word& modelName = typeName
        );


    //- Destructor
    virtual ~kOmegaSST()
    {}


    // Member Functions

        //- Return the effective diffusivity for k
        tmp<volScalarField> DkEff(const volScalarField& F1) const
        {
            return tmp<volScalarField>
            (
                new volScalarField("DkEff", alphaK(F1)*mut_ + mu())
            );
        }

        //- Return the effective diffusivity for omega
        tmp<volScalarField> DomegaEff(const volScalarField& F1) const
        {
            return tmp<volScalarField>
            (
                new volScalarField("DomegaEff", alphaOmega(F1)*mut_ + mu())
            );
        }

        virtual tmp<volScalarField> mut() const
        {
            return mut_;
        }

        //- Return the turbulence thermal diffusivity
        virtual tmp<volScalarField> alphat() const
        {
            return alphat_;
        }

        //- Return the turbulence kinetic energy
        virtual tmp<volScalarField> k() const
        {
            return k_;
        }

        virtual tmp<volScalarField> omega() const
        {
            return omega_;
        }

        //- Return the turbulence kinetic energy dissipation rate
        virtual tmp<volScalarField> epsilon() const
        {
            return tmp<volScalarField>
            (
                new volScalarField
                (
                    IOobject
                    (
                        "epsilon",
                        mesh_.time().timeName(),
                        mesh_
                    ),
                    betaStar_*k_*omega_,
                    omega_.boundaryField().types()
                )
            );
        }

        //- Return the Reynolds stress tensor
        virtual tmp<volSymmTensorField> R() const;

        //- Return the effective stress tensor including the laminar stress
        virtual tmp<volSymmTensorField> devRhoReff() const;

        //- Return the source term for the momentum equation
        virtual tmp<fvVectorMatrix> divDevRhoReff(volVectorField& U) const;

        //- Solve the turbulence equations and correct the turbulence viscosity
        virtual void correct();

        //- Read RASProperties dictionary
        virtual bool read();
};


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

} // End namespace RASModels
} // End namespace compressible
} // End namespace Foam

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

#endif

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