/usr/include/freefoam/finiteVolume/backwardDdtScheme.H is in libfreefoam-dev 0.1.0+dfsg-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 1991-2010 OpenCFD Ltd.
     \\/     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 3 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, see <http://www.gnu.org/licenses/>.
Class
    Foam::fv::backwardDdtScheme
Description
    Second-order backward-differencing ddt using the current and
    two previous time-step values.
SourceFiles
    backwardDdtScheme.C
\*---------------------------------------------------------------------------*/
#ifndef backwardDdtScheme_H
#define backwardDdtScheme_H
#include <finiteVolume/ddtScheme.H>
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace fv
{
/*---------------------------------------------------------------------------*\
                       Class backwardDdtScheme Declaration
\*---------------------------------------------------------------------------*/
template<class Type>
class backwardDdtScheme
:
    public fv::ddtScheme<Type>
{
    // Private Member Functions
        //- Return the current time-step
        scalar deltaT_() const;
        //- Return the previous time-step
        scalar deltaT0_() const;
        //- Return the previous time-step or GREAT if the old timestep field
        //  wasn't available in which case Euler ddt is used
        template<class GeoField>
        scalar deltaT0_(const GeoField&) const;
        //- Disallow default bitwise copy construct
        backwardDdtScheme(const backwardDdtScheme&);
        //- Disallow default bitwise assignment
        void operator=(const backwardDdtScheme&);
public:
    //- Runtime type information
    TypeName("backward");
    // Constructors
        //- Construct from mesh
        backwardDdtScheme(const fvMesh& mesh)
        :
            ddtScheme<Type>(mesh)
        {}
        //- Construct from mesh and Istream
        backwardDdtScheme(const fvMesh& mesh, Istream& is)
        :
            ddtScheme<Type>(mesh, is)
        {}
    // Member Functions
        //- Return mesh reference
        const fvMesh& mesh() const
        {
            return fv::ddtScheme<Type>::mesh();
        }
        tmp<GeometricField<Type, fvPatchField, volMesh> > fvcDdt
        (
            const dimensioned<Type>&
        );
        tmp<GeometricField<Type, fvPatchField, volMesh> > fvcDdt
        (
            const GeometricField<Type, fvPatchField, volMesh>&
        );
        tmp<GeometricField<Type, fvPatchField, volMesh> > fvcDdt
        (
            const dimensionedScalar&,
            const GeometricField<Type, fvPatchField, volMesh>&
        );
        tmp<GeometricField<Type, fvPatchField, volMesh> > fvcDdt
        (
            const volScalarField&,
            const GeometricField<Type, fvPatchField, volMesh>&
        );
        tmp<fvMatrix<Type> > fvmDdt
        (
            GeometricField<Type, fvPatchField, volMesh>&
        );
        tmp<fvMatrix<Type> > fvmDdt
        (
            const dimensionedScalar&,
            GeometricField<Type, fvPatchField, volMesh>&
        );
        tmp<fvMatrix<Type> > fvmDdt
        (
            const volScalarField&,
            GeometricField<Type, fvPatchField, volMesh>&
        );
        typedef typename ddtScheme<Type>::fluxFieldType fluxFieldType;
        tmp<fluxFieldType> fvcDdtPhiCorr
        (
            const volScalarField& rA,
            const GeometricField<Type, fvPatchField, volMesh>& U,
            const fluxFieldType& phi
        );
        tmp<fluxFieldType> fvcDdtPhiCorr
        (
            const volScalarField& rA,
            const volScalarField& rho,
            const GeometricField<Type, fvPatchField, volMesh>& U,
            const fluxFieldType& phi
        );
        tmp<surfaceScalarField> meshPhi
        (
            const GeometricField<Type, fvPatchField, volMesh>&
        );
};
template<>
tmp<surfaceScalarField> backwardDdtScheme<scalar>::fvcDdtPhiCorr
(
    const volScalarField& rA,
    const volScalarField& U,
    const surfaceScalarField& phi
);
template<>
tmp<surfaceScalarField> backwardDdtScheme<scalar>::fvcDdtPhiCorr
(
    const volScalarField& rA,
    const volScalarField& rho,
    const volScalarField& U,
    const surfaceScalarField& phi
);
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace fv
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace Foam
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#ifdef NoRepository
#   include <finiteVolume/backwardDdtScheme.C>
#endif
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
#endif
// ************************ vim: set sw=4 sts=4 et: ************************ //
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