CFD Online Discussion Forums - it seems compressibleCourantNo doesn't account for wave velocities.whats the solution

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it seems compressibleCourantNo doesn't account for wave velocities.whats the solution

in cases where there are compression or expansion waves its important to put the into account for calculating courant Number but it isn't in OpenFOAM code.why?
also there is a factor of .5 in equation.why it is there in formula?

Code:

#include "compressibleCourantNo.H"

#include "fvc.H"



Foam::scalar Foam::compressibleCourantNo

(

    const fvMesh& mesh,

    const Time& runTime,

    const volScalarField& rho,

    const surfaceScalarField& phi

)

{

    scalarField sumPhi

    (

        fvc::surfaceSum(mag(phi))().internalField()

      / rho.internalField()

    );



    scalar CoNum = 0.5*gMax(sumPhi/mesh.V().field())*runTime.deltaTValue();



    scalar meanCoNum =

        0.5*(gSum(sumPhi)/gSum(mesh.V().field()))*runTime.deltaTValue();



    Info<< "Region: " << mesh.name() << " Courant Number mean: " << meanCoNum

        << " max: " << CoNum << endl;



    return CoNum;

}

how should we account for wave speeds when they are important to us in the problem?
Any idea or guidance are be thanked.

do i understand right about courant number in openfoam?
Whats your opinion openfoamers?