Airy.H

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Class
    Foam::waveModels::Airy

Description
    First-order wave model.

    Reference:
    \verbatim
        Stokes, G.G. (1847)
        On the theory of oscillatory waves.
        Transactions of the Cambridge Philosophical Society, 8, 441.
    \endverbatim

    See the leading terms of equations 18 and 19.

SourceFiles
    Airy.C

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

#ifndef Airy_H
#define Airy_H

#include "waveModel.H"

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

namespace Foam
{
namespace waveModels
{

/*---------------------------------------------------------------------------*\
                            Class Airy Declaration
\*---------------------------------------------------------------------------*/

class Airy
:
    public waveModel
{
    // Private Data

        //- Peak-to-peak length [m]
        const scalar length_;

        //- Phase offset [rad]
        const scalar phase_;

        //- Depth [m]
        const scalar depth_;


protected:

    // Protected Member Functions

        //- The angular wavenumber [rad/m]
        scalar k() const;

        //- The wave celerity [m/s]
        scalar celerity() const;

        //- Angle of the oscillation [rad]
        tmp<scalarField> angle
        (
            const scalar t,
            const scalarField& x
        ) const;

        //- Return whether shallow and intermediate effects are to be omitted
        bool deep() const;

        //- Return the non-dimensionalised i-th harmonic of the velocity
        tmp<vector2DField> vi
        (
            const label i,
            const scalar t,
            const vector2DField& xz
        ) const;


public:

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


    // Constructors

        //- Construct a copy
        Airy(const Airy& wave);

        //- Construct from a database and a dictionary
        Airy(const objectRegistry& db, const dictionary& dict);

        //- Construct a clone
        virtual autoPtr<waveModel> clone() const
        {
            return autoPtr<waveModel>(new Airy(*this));
        }


    //- Destructor
    virtual ~Airy();


    // Member Functions

        // Access

            //- Get the length
            scalar length() const
            {
                return length_;
            }

            //- Get the phase
            scalar phase() const
            {
                return phase_;
            }

            //- Get the depth
            scalar depth() const
            {
                return depth_;
            }

        //- Get the wave elevation at a given time and local coordinates. Local
        //  x is aligned with the direction of propagation.
        virtual tmp<scalarField> elevation
        (
            const scalar t,
            const scalarField& x
        ) const;

        //- Get the wave velocity at a given time and local coordinates. Local
        //  x is aligned with the direction of propagation, and z with negative
        //  gravity.
        virtual tmp<vector2DField> velocity
        (
            const scalar t,
            const vector2DField& xz
        ) const;

        //- Get the wave pressure at a given time and local coordinates. Local
        //  x is aligned with the direction of propagation, and z with negative
        //  gravity.
        virtual tmp<scalarField> pressure
        (
            const scalar t,
            const vector2DField& xz
        ) const;

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


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

} // End namespace waveModels
} // End namespace Foam

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

#endif

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