SphericalTensorI.H

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
   \\    /   O peration     |
    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
     \\/     M anipulation  |
-------------------------------------------------------------------------------
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    This file is part of OpenFOAM.
 
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    for more details.
 
    You should have received a copy of the GNU General Public License
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\*---------------------------------------------------------------------------*/
 
#include "Vector.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
 
// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
 
template<class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor()
{}
 
 
template<class Cmpt>
template<class Cmpt2>
inline SphericalTensor<Cmpt>::SphericalTensor
(
    const VectorSpace<SphericalTensor<Cmpt2>, Cmpt2, 1>& vs
)
:
    VectorSpace<SphericalTensor<Cmpt>, Cmpt, 1>(vs)
{}
 
 
template<class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor(const Cmpt& stii)
{
    this->v_[II] = stii;
}
 
 
template<class Cmpt>
inline SphericalTensor<Cmpt>::SphericalTensor(Istream& is)
:
    VectorSpace<SphericalTensor<Cmpt>, Cmpt, 1>(is)
{}
 
 
// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
template<class Cmpt>
inline const Cmpt&  SphericalTensor<Cmpt>::ii() const
{
    return this->v_[II];
}
 
 
template<class Cmpt>
inline Cmpt& SphericalTensor<Cmpt>::ii()
{
    return this->v_[II];
}
 
 
template<class Cmpt>
inline const SphericalTensor<Cmpt>& SphericalTensor<Cmpt>::T() const
{
    return *this;
}
 
 
// * * * * * * * * * * * * * * * Global Operators  * * * * * * * * * * * * * //
 
//- Inner-product between two spherical tensors
template<class Cmpt>
inline SphericalTensor<Cmpt>
operator&(const SphericalTensor<Cmpt>& st1, const SphericalTensor<Cmpt>& st2)
{
    return SphericalTensor<Cmpt>(st1.ii()*st2.ii());
}
 
 
//- Inner-product between a spherical tensor and a vector
template<class Cmpt>
inline Vector<Cmpt>
operator&(const SphericalTensor<Cmpt>& st, const Vector<Cmpt>& v)
{
    return Vector<Cmpt>
    (
        st.ii()*v.x(),
                       st.ii()*v.y(),
                                      st.ii()*v.z()
    );
}
 
 
//- Inner-product between a vector and a spherical tensor
template<class Cmpt>
inline Vector<Cmpt>
operator&(const Vector<Cmpt>& v, const SphericalTensor<Cmpt>& st)
{
    return Vector<Cmpt>
    (
        v.x()*st.ii(),
                       v.y()*st.ii(),
                                      v.z()*st.ii()
    );
}
 
 
//- Double-dot-product between a spherical tensor and a spherical tensor
template<class Cmpt>
inline Cmpt
operator&&(const SphericalTensor<Cmpt>& st1, const SphericalTensor<Cmpt>& st2)
{
    return 3*st1.ii()*st2.ii();
}
 
 
//- Division of a scalar by a sphericalTensor
template<class Cmpt>
inline SphericalTensor<Cmpt>
operator/(const scalar s, const SphericalTensor<Cmpt>& st)
{
    return SphericalTensor<Cmpt>(s/st.ii());
}
 
 
template<class Cmpt>
inline Cmpt magSqr(const SphericalTensor<Cmpt>& st)
{
    return 3*magSqr(st.ii());
}
 
 
//- Return the trace of a spherical tensor
template<class Cmpt>
inline Cmpt tr(const SphericalTensor<Cmpt>& st)
{
    return 3*st.ii();
}
 
 
//- Return the spherical part of a spherical tensor, i.e. itself
template<class Cmpt>
inline SphericalTensor<Cmpt> sph(const SphericalTensor<Cmpt>& st)
{
    return st;
}
 
 
//- Return the determinant of a spherical tensor
template<class Cmpt>
inline Cmpt det(const SphericalTensor<Cmpt>& st)
{
    return st.ii()*st.ii()*st.ii();
}
 
 
//- Return the inverse of a spherical tensor
template<class Cmpt>
inline SphericalTensor<Cmpt> inv(const SphericalTensor<Cmpt>& st)
{
    return SphericalTensor<Cmpt>(1.0/st.ii());
}
 
 
template<class Cmpt>
class outerProduct<SphericalTensor<Cmpt>, Cmpt>
{
public:
 
    typedef SphericalTensor<Cmpt> type;
};
 
template<class Cmpt>
class outerProduct<Cmpt, SphericalTensor<Cmpt> >
{
public:
 
    typedef SphericalTensor<Cmpt> type;
};
 
 
template<class Cmpt>
class innerProduct<SphericalTensor<Cmpt>, SphericalTensor<Cmpt> >
{
public:
 
    typedef SphericalTensor<Cmpt> type;
};
 
 
template<class Cmpt>
class innerProduct<SphericalTensor<Cmpt>, Vector<Cmpt> >
{
public:
 
    typedef Vector<Cmpt> type;
};
 
template<class Cmpt>
class innerProduct<Vector<Cmpt>, SphericalTensor<Cmpt> >
{
public:
 
    typedef Vector<Cmpt> type;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace Foam
 
// ************************************************************************* //