nutUSpaldingWallFunctionFvPatchScalarField.H

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Class
    Foam::nutUSpaldingWallFunctionFvPatchScalarField

Description
    This boundary condition provides a turbulent kinematic viscosity condition
    when using wall functions for rough walls, based on velocity,  using
    Spalding's law to give a continuous nut profile to the wall (y+ = 0)

    \f[
        y^+ = u^+ + \frac{1}{E} \left[exp(\kappa u^+) - 1 - \kappa u^+\,
            - 0.5 (\kappa u^+)^2 - \frac{1}{6} (\kappa u^+)^3\right]
    \f]

    where
    \vartable
        y^+     | non-dimensional position
        u^+     | non-dimensional velocity
        \kappa  | Von Karman constant
    \endvartable

    Reference:
    \verbatim
        Spalding, D. B., (1961).
        A Single Formula for the "Law of the Wall".
        Journal of Applied Mechanics, 28(3), 455-458
    \endverbatim

Usage
    Example of the boundary condition specification:
    \verbatim
    <patchName>
    {
        type            nutUSpaldingWallFunction;
        value           uniform 0;
    }
    \endverbatim

See also
    Foam::nutWallFunctionFvPatchScalarField

SourceFiles
    nutUSpaldingWallFunctionFvPatchScalarField.C

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

#ifndef nutUSpaldingWallFunctionFvPatchScalarField_H
#define nutUSpaldingWallFunctionFvPatchScalarField_H

#include "nutWallFunctionFvPatchScalarField.H"

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

namespace Foam
{

/*---------------------------------------------------------------------------*\
         Class nutUSpaldingWallFunctionFvPatchScalarField Declaration
\*---------------------------------------------------------------------------*/

class nutUSpaldingWallFunctionFvPatchScalarField
:
    public nutWallFunctionFvPatchScalarField
{
protected:

    // Protected Member Functions

        //- Calculate the turbulence viscosity
        virtual tmp<scalarField> nut() const;

        //- Calculate the friction velocity
        virtual tmp<scalarField> calcUTau(const scalarField& magGradU) const;


public:

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


    // Constructors

        //- Construct from patch and internal field
        nutUSpaldingWallFunctionFvPatchScalarField
        (
            const fvPatch&,
            const DimensionedField<scalar, volMesh>&
        );

        //- Construct from patch, internal field and dictionary
        nutUSpaldingWallFunctionFvPatchScalarField
        (
            const fvPatch&,
            const DimensionedField<scalar, volMesh>&,
            const dictionary&
        );

        //- Construct by mapping given
        //  nutUSpaldingWallFunctionFvPatchScalarField
        //  onto a new patch
        nutUSpaldingWallFunctionFvPatchScalarField
        (
            const nutUSpaldingWallFunctionFvPatchScalarField&,
            const fvPatch&,
            const DimensionedField<scalar, volMesh>&,
            const fvPatchFieldMapper&
        );

        //- Disallow copy without setting internal field reference
        nutUSpaldingWallFunctionFvPatchScalarField
        (
            const nutUSpaldingWallFunctionFvPatchScalarField&
        ) = delete;

        //- Copy constructor setting internal field reference
        nutUSpaldingWallFunctionFvPatchScalarField
        (
            const nutUSpaldingWallFunctionFvPatchScalarField&,
            const DimensionedField<scalar, volMesh>&
        );

        //- Construct and return a clone setting internal field reference
        virtual tmp<fvPatchScalarField> clone
        (
            const DimensionedField<scalar, volMesh>& iF
        ) const
        {
            return tmp<fvPatchScalarField>
            (
                new nutUSpaldingWallFunctionFvPatchScalarField(*this, iF)
            );
        }


    // Member Functions

        // Evaluation functions

            //- Calculate and return the yPlus at the boundary
            virtual tmp<scalarField> yPlus() const;


        // I-O

            //- Write
            virtual void write(Ostream& os) const;
};


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

} // End namespace Foam

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

#endif

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