quadraticUpwindFitPolynomial.H

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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
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Class
    Foam::quadraticUpwindFitPolynomial

Description
    Quadratic polynomial for upwind biased interpolation fitting.

    Can be used with the UpwindFit scheme to create a quadratic surface
    interpolation scheme

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

#ifndef quadraticUpwindFitPolynomial_H
#define quadraticUpwindFitPolynomial_H

#include "vector.H"

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

namespace Foam
{

/*---------------------------------------------------------------------------*\
                Class quadraticUpwindFitPolynomial Declaration
\*---------------------------------------------------------------------------*/

class quadraticUpwindFitPolynomial
{
public:

    // Member Functions

        static label nTerms(const direction dim)
        {
            return
            (
                dim == 1 ? 3 :
                dim == 2 ? 6 :
                dim == 3 ? 9 : 0
            );
        }

        static void addCoeffs
        (
            scalar* coeffs,
            const vector& d,
            const scalar weight,
            const direction dim
        )
        {
            label curIdx = 0;

            coeffs[curIdx++] = weight;
            coeffs[curIdx++] = weight*d.x();
            coeffs[curIdx++] = weight*sqr(d.x());

            if (dim >= 2)
            {
                coeffs[curIdx++] = weight*d.y();
                coeffs[curIdx++] = weight*d.x()*d.y();
                // coeffs[curIdx++] = weight*d.x()*sqr(d.y());
                coeffs[curIdx++] = weight*sqr(d.y());
            }
            if (dim == 3)
            {
                coeffs[curIdx++] = weight*d.z();
                coeffs[curIdx++] = weight*d.x()*d.z();
                coeffs[curIdx++] = weight*sqr(d.z());
            }
        }
};


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

} // End namespace Foam

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

#endif

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