quadraticLinearFitPolynomial.H

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/*---------------------------------------------------------------------------*\
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  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011-2015 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::quadraticLinearFitPolynomial
 
Description
    Quadratic/linear polynomial for interpolation fitting:
        quadratic normal to the face,
        linear in the plane of the face for consistency with 2nd-order Gauss.
 
    Can be used with the CentredFit scheme to create a quadratic surface
    interpolation scheme
 
\*---------------------------------------------------------------------------*/
 
#ifndef quadraticLinearFitPolynomial_H
#define quadraticLinearFitPolynomial_H
 
#include "vector.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
/*---------------------------------------------------------------------------*\
                           Class quadraticLinearFitPolynomial Declaration
\*---------------------------------------------------------------------------*/
 
class quadraticLinearFitPolynomial
{
public:
 
    // Member functions
 
        static label nTerms(const direction dim)
        {
            return
            (
                dim == 1 ? 3 :
                dim == 2 ? 5 :
                dim == 3 ? 7 : 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();
            }
            if (dim == 3)
            {
                coeffs[curIdx++] = weight*d.z();
                coeffs[curIdx++] = weight*d.x()*d.z();
            }
        }
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //