primitiveMeshFaceCentresAndAreas.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | foam-extend: Open Source CFD
   \\    /   O peration     | Version:     3.2
    \\  /    A nd           | Web:         http://www.foam-extend.org
     \\/     M anipulation  | For copyright notice see file Copyright
-------------------------------------------------------------------------------
License
    This file is part of foam-extend.
 
    foam-extend 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.
 
    foam-extend is distributed in the hope that it will be useful, but
    WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or 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 foam-extend.  If not, see <http://www.gnu.org/licenses/>.
 
Description
    Calulate the face centres and areas.
 
    Calculate the centre by breaking the face into triangles using the face
    centre and area-weighted averaging their centres.  This method copes with
    small face-concavity.
 
\*---------------------------------------------------------------------------*/
 
#include "primitiveMesh.H"
 
 
// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //
 
void Foam::primitiveMesh::calcFaceCentresAndAreas() const
{
    if (debug)
    {
        Pout<< "primitiveMesh::calcFaceCentresAndAreas() : "
            << "Calculating face centres and face areas"
            << endl;
    }
 
    // It is an error to attempt to recalculate faceCentres
    // if the pointer is already set
    if (faceCentresPtr_ || faceAreasPtr_)
    {
        FatalErrorIn("primitiveMesh::calcFaceCentresAndAreas() const")
            << "Face centres or face areas already calculated"
            << abort(FatalError);
    }
 
    faceCentresPtr_ = new vectorField(nFaces());
    vectorField& fCtrs = *faceCentresPtr_;
 
    faceAreasPtr_ = new vectorField(nFaces());
    vectorField& fAreas = *faceAreasPtr_;
 
    makeFaceCentresAndAreas(points(), fCtrs, fAreas);
 
    if (debug)
    {
        Pout<< "primitiveMesh::calcFaceCentresAndAreas() : "
            << "Finished calculating face centres and face areas"
            << endl;
    }
}
 
 
void Foam::primitiveMesh::makeFaceCentresAndAreas
(
    const pointField& p,
    vectorField& fCtrs,
    vectorField& fAreas
) const
{
    const faceList& fs = faces();
 
    forAll (fs, facei)
    {
        const labelList& f = fs[facei];
        label nPoints = f.size();
 
        // If the face is a triangle, do a direct calculation for efficiency
        // and to avoid round-off error-related problems
        if (nPoints == 3)
        {
            fCtrs[facei] = (1.0/3.0)*(p[f[0]] + p[f[1]] + p[f[2]]);
            fAreas[facei] = 0.5*((p[f[1]] - p[f[0]])^(p[f[2]] - p[f[0]]));
        }
        else
        {
            vector sumN = vector::zero;
            scalar sumA = 0.0;
            vector sumAc = vector::zero;
 
            point fCentre = p[f[0]];
            for (label pi = 1; pi < nPoints; pi++)
            {
                fCentre += p[f[pi]];
            }
 
            fCentre /= nPoints;
 
            for (label pi = 0; pi < nPoints; pi++)
            {
                const point& nextPoint = p[f[(pi + 1) % nPoints]];
 
                vector c = p[f[pi]] + nextPoint + fCentre;
                vector n = (nextPoint - p[f[pi]])^(fCentre - p[f[pi]]);
                scalar a = mag(n);
 
                sumN += n;
                sumA += a;
                sumAc += a*c;
            }
 
            fCtrs[facei] = (1.0/3.0)*sumAc/(sumA + VSMALL);
            fAreas[facei] = 0.5*sumN;
        }
    }
}
 
 
// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
const Foam::vectorField& Foam::primitiveMesh::faceCentres() const
{
    if (!faceCentresPtr_)
    {
        calcFaceCentresAndAreas();
    }
 
    return *faceCentresPtr_;
}
 
 
const Foam::vectorField& Foam::primitiveMesh::faceAreas() const
{
    if (!faceAreasPtr_)
    {
        calcFaceCentresAndAreas();
    }
 
    return *faceAreasPtr_;
}
 
 
// ************************************************************************* //