/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright held by original author
     \\/     M anipulation  |
-------------------------------------------------------------------------------
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 2 of the License, or (at your
    option) any later version.

    OpenFOAM 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 OpenFOAM; if not, write to the Free Software Foundation,
    Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

Global
    CourantNo

Description
    Calculates and outputs the maximum Courant Number.

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


scalar CoNum = 0.0;
scalar meanCoNum = 0.0;
scalar waveCoNum = 0.0;

if (mesh.nInternalFaces())
{
    surfaceScalarField SfUfbyDelta =
        mesh.surfaceInterpolation::deltaCoeffs()
       *mag(phi)/fvc::interpolate(h);

    CoNum = max(SfUfbyDelta/mesh.magSf())
        .value()*runTime.deltaT().value();

    meanCoNum = (sum(SfUfbyDelta)/sum(mesh.magSf()))
        .value()*runTime.deltaT().value();

    // Gravity wave Courant number
    waveCoNum =
        0.5*max
        (
            mesh.surfaceInterpolation::deltaCoeffs()
           *sqrt(fvc::interpolate(h))
        ).value()*sqrt(magg).value()*runTime.deltaT().value();
}

Info<< "Courant number mean: " << meanCoNum
    << " max: " << CoNum << endl;

Info<< "Gravity wave Courant number max: " << waveCoNum
    << endl;


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