/*---------------------------------------------------------------------------*\
========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2011-2026 OpenFOAM Foundation
\\/ 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 .
\*---------------------------------------------------------------------------*/
#include "SphericalTensor.H"
#include "SymmTensor.H"
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
template
inline Foam::DiagTensor::DiagTensor()
{}
template
inline Foam::DiagTensor::DiagTensor(const Foam::zero)
:
VectorSpace, Cmpt, 3>(Zero)
{}
template
template
inline Foam::DiagTensor::DiagTensor
(
const VectorSpace, Cmpt2, 3>& vs
)
:
VectorSpace, Cmpt, 3>(vs)
{}
template
inline Foam::DiagTensor::DiagTensor
(
const Cmpt& vxx,
const Cmpt& vyy,
const Cmpt& vzz
)
{
this->v_[XX] = vxx;
this->v_[YY] = vyy;
this->v_[ZZ] = vzz;
}
template
inline Foam::DiagTensor::DiagTensor(const Vector& v)
:
VectorSpace, Cmpt, 3>(v)
{}
template
inline Foam::DiagTensor::DiagTensor(Istream& is)
:
VectorSpace, Cmpt, 3>(is)
{}
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
template
inline const Cmpt& Foam::DiagTensor::xx() const
{
return this->v_[XX];
}
template
inline const Cmpt& Foam::DiagTensor::yy() const
{
return this->v_[YY];
}
template
inline const Cmpt& Foam::DiagTensor::zz() const
{
return this->v_[ZZ];
}
template
inline Cmpt& Foam::DiagTensor::xx()
{
return this->v_[XX];
}
template
inline Cmpt& Foam::DiagTensor::yy()
{
return this->v_[YY];
}
template
inline Cmpt& Foam::DiagTensor::zz()
{
return this->v_[ZZ];
}
template
inline Foam::DiagTensor::operator Foam::Vector() const
{
return Vector(xx(), yy(), zz());
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
namespace Foam
{
// * * * * * * * * * * * * * * * Global Operators * * * * * * * * * * * * * //
template
inline Tensor
operator+(const DiagTensor& dt1, const Tensor& t2)
{
return Tensor
(
dt1.xx() + t2.xx(), t2.xy(), t2.xz(),
t2.yx(), dt1.yy() + t2.yy(), t2.yz(),
t2.zx(), t2.zy(), dt1.zz() + t2.zz()
);
}
template
inline Tensor
operator+(const Tensor& t1, const DiagTensor& dt2)
{
return Tensor
(
t1.xx() + dt2.xx(), t1.xy(), t1.xz(),
t1.yx(), t1.yy() + dt2.yy(), t1.yz(),
t1.zx(), t1.zy(), t1.zz() + dt2.zz()
);
}
template
inline Tensor
operator-(const DiagTensor& dt1, const Tensor& t2)
{
return Tensor
(
dt1.xx() - t2.xx(), -t2.xy(), -t2.xz(),
-t2.yx(), dt1.yy() - t2.yy(), -t2.yz(),
-t2.zx(), -t2.zy(), dt1.zz() - t2.zz()
);
}
template
inline Tensor
operator-(const Tensor& t1, const DiagTensor& dt2)
{
return Tensor
(
t1.xx() - dt2.xx(), t1.xy(), t1.xz(),
t1.yx(), t1.yy() - dt2.yy(), t1.yz(),
t1.zx(), t1.zy(), t1.zz() - dt2.zz()
);
}
template
inline SymmTensor
operator+(const DiagTensor& dt1, const SymmTensor& t2)
{
return SymmTensor
(
dt1.xx() + t2.xx(), t2.xy(), t2.xz(),
dt1.yy() + t2.yy(), t2.yz(),
dt1.zz() + t2.zz()
);
}
template
inline SymmTensor
operator+(const SymmTensor& t1, const DiagTensor& dt2)
{
return SymmTensor
(
t1.xx() + dt2.xx(), t1.xy(), t1.xz(),
t1.yy() + dt2.yy(), t1.yz(),
t1.zz() + dt2.zz()
);
}
template
inline SymmTensor
operator-(const DiagTensor& dt1, const SymmTensor& t2)
{
return SymmTensor
(
dt1.xx() - t2.xx(), -t2.xy(), -t2.xz(),
dt1.yy() - t2.yy(), -t2.yz(),
dt1.zz() - t2.zz()
);
}
template
inline SymmTensor
operator-(const SymmTensor& t1, const DiagTensor& dt2)
{
return SymmTensor
(
t1.xx() - dt2.xx(), t1.xy(), t1.xz(),
t1.yy() - dt2.yy(), t1.yz(),
t1.zz() - dt2.zz()
);
}
//- Inner-product between two diagonal tensors
template
inline DiagTensor
operator&(const DiagTensor& dt1, const DiagTensor& dt2)
{
return DiagTensor
(
dt1.xx()*dt2.xx(),
dt1.yy()*dt2.yy(),
dt1.zz()*dt2.zz()
);
}
//- Inner-product between a diagonal tensor and a tensor
template
inline Tensor
operator&(const DiagTensor& dt1, const Tensor& t2)
{
return Tensor
(
dt1.xx()*t2.xx(),
dt1.xx()*t2.xy(),
dt1.xx()*t2.xz(),
dt1.yy()*t2.yx(),
dt1.yy()*t2.yy(),
dt1.yy()*t2.yz(),
dt1.zz()*t2.zx(),
dt1.zz()*t2.zy(),
dt1.zz()*t2.zz()
);
}
//- Inner-product between a tensor and a diagonal tensor
template
inline Tensor
operator&(const Tensor& t1, const DiagTensor& dt2)
{
return Tensor
(
t1.xx()*dt2.xx(),
t1.xy()*dt2.yy(),
t1.xz()*dt2.zz(),
t1.yx()*dt2.xx(),
t1.yy()*dt2.yy(),
t1.yz()*dt2.zz(),
t1.zx()*dt2.xx(),
t1.zy()*dt2.yy(),
t1.zz()*dt2.zz()
);
}
//- Inner-product between a diagonal tensor and a vector
template
inline Vector
operator&(const DiagTensor& dt, const Vector& v)
{
return Vector
(
dt.xx()*v.x(),
dt.yy()*v.y(),
dt.zz()*v.z()
);
}
//- Inner-product between a vector and a diagonal tensor
template
inline Vector
operator&(const Vector& v, const DiagTensor& dt)
{
return Vector
(
v.x()*dt.xx(),
v.y()*dt.yy(),
v.z()*dt.zz()
);
}
//- Division of a scalar by a diagonalTensor
template
inline DiagTensor
operator/(const scalar s, const DiagTensor& dt)
{
return DiagTensor(s/dt.xx(), s/dt.yy(), s/dt.zz());
}
//- Division of a vector by a diagonal tensor
template
inline Vector
operator/(const Vector v, const DiagTensor& dt)
{
return Vector(v.x()/dt.xx(), v.y()/dt.yy(), v.z()/dt.zz());
}
//- Return the transpose of a diagonal tensor
template
inline const DiagTensor& T(const DiagTensor& dt)
{
return dt;
}
//- Return the trace of a diagonal tensor
template
inline Cmpt tr(const DiagTensor& dt)
{
return dt.xx() + dt.yy() + dt.zz();
}
//- Return the spherical part of a diagonal tensor
template
inline SphericalTensor sph(const DiagTensor& dt)
{
return 0.5*tr(dt);
}
//- Return the determinant of a diagonal tensor
template
inline Cmpt det(const DiagTensor& t)
{
return t.xx()*t.yy()*t.zz();
}
//- Return the inverse of a diagonal tensor
template
inline DiagTensor inv(const DiagTensor& dt)
{
return DiagTensor(1.0/dt.xx(), 1.0/dt.yy(), 1.0/dt.zz());
}
//- Return the diagonal of a symmetric tensor as a diagonal tensor
template
inline DiagTensor diag(const SymmTensor& t)
{
return DiagTensor(t.xx(), t.yy(), t.zz());
}
//- Return the diagonal of a tensor as a diagonal tensor
template
inline DiagTensor diag(const Tensor& t)
{
return DiagTensor(t.xx(), t.yy(), t.zz());
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
} // End namespace Foam
// ************************************************************************* //