mirror of
https://develop.openfoam.com/Development/openfoam.git
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6a53794e0a
- In the course of time, global funcs/opers of Tensor types expanded
leaving funcs/opers unordered.
- Therefore, by following the order designated in Matrix class, the order
of global funcs and global opers are reordered:
- oper+ oper- oper* oper/ inner-product double-inner-product outer-product
568 lines
12 KiB
C++
568 lines
12 KiB
C++
/*---------------------------------------------------------------------------*\
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / A nd | www.openfoam.com
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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Copyright (C) 2011-2016 OpenFOAM Foundation
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Copyright (C) 2019-2020 OpenCFD Ltd.
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-------------------------------------------------------------------------------
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License
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This file is part of OpenFOAM.
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OpenFOAM is free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
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\*---------------------------------------------------------------------------*/
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#include "Tensor2D.H"
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// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
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template<class Cmpt>
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inline Foam::SymmTensor2D<Cmpt>::SymmTensor2D(const Foam::zero)
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:
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SymmTensor2D::vsType(Zero)
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{}
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template<class Cmpt>
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inline Foam::SymmTensor2D<Cmpt>::SymmTensor2D
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(
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const VectorSpace<SymmTensor2D<Cmpt>, Cmpt, 3>& vs
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)
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:
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SymmTensor2D::vsType(vs)
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{}
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template<class Cmpt>
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inline Foam::SymmTensor2D<Cmpt>::SymmTensor2D(const SphericalTensor2D<Cmpt>& st)
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{
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this->v_[XX] = st.ii(); this->v_[XY] = Zero;
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this->v_[YY] = st.ii();
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}
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template<class Cmpt>
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inline Foam::SymmTensor2D<Cmpt>::SymmTensor2D
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(
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const Cmpt txx, const Cmpt txy,
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const Cmpt tyy
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)
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{
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this->v_[XX] = txx; this->v_[XY] = txy;
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this->v_[YY] = tyy;
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}
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template<class Cmpt>
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inline Foam::SymmTensor2D<Cmpt>::SymmTensor2D(Istream& is)
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:
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SymmTensor2D::vsType(is)
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{}
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// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
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template<class Cmpt>
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inline const Cmpt& Foam::SymmTensor2D<Cmpt>::xx() const
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{
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return this->v_[XX];
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}
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template<class Cmpt>
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inline const Cmpt& Foam::SymmTensor2D<Cmpt>::xy() const
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{
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return this->v_[XY];
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}
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template<class Cmpt>
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inline const Cmpt& Foam::SymmTensor2D<Cmpt>::yx() const
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{
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return this->v_[XY];
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}
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template<class Cmpt>
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inline const Cmpt& Foam::SymmTensor2D<Cmpt>::yy() const
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{
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return this->v_[YY];
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}
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template<class Cmpt>
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inline Cmpt& Foam::SymmTensor2D<Cmpt>::xx()
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{
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return this->v_[XX];
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}
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template<class Cmpt>
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inline Cmpt& Foam::SymmTensor2D<Cmpt>::xy()
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{
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return this->v_[XY];
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}
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template<class Cmpt>
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inline Cmpt& Foam::SymmTensor2D<Cmpt>::yx()
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{
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return this->v_[XY];
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}
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template<class Cmpt>
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inline Cmpt& Foam::SymmTensor2D<Cmpt>::yy()
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{
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return this->v_[YY];
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}
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template<class Cmpt>
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inline Foam::Vector2D<Cmpt> Foam::SymmTensor2D<Cmpt>::diag() const
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{
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return Vector2D<Cmpt>(this->v_[XX], this->v_[YY]);
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}
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template<class Cmpt>
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inline void Foam::SymmTensor2D<Cmpt>::diag(const Vector2D<Cmpt>& v)
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{
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this->v_[XX] = v.x(); this->v_[YY] = v.y();
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}
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template<class Cmpt>
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inline const Foam::SymmTensor2D<Cmpt>& Foam::SymmTensor2D<Cmpt>::T() const
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{
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return *this;
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}
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// * * * * * * * * * * * * * * * Member Operators * * * * * * * * * * * * * //
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template<class Cmpt>
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inline void Foam::SymmTensor2D<Cmpt>::operator=
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(
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const SphericalTensor2D<Cmpt>& st
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)
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{
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this->v_[XX] = st.ii(); this->v_[XY] = Zero;
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this->v_[YY] = st.ii();
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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namespace Foam
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{
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// * * * * * * * * * * * * * * * Global Functions * * * * * * * * * * * * * //
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//- Return the trace of a SymmTensor2D
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template<class Cmpt>
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inline Cmpt tr(const SymmTensor2D<Cmpt>& st)
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{
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return st.xx() + st.yy();
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}
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//- Return the spherical part of a SymmTensor2D
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template<class Cmpt>
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inline SphericalTensor2D<Cmpt> sph(const SymmTensor2D<Cmpt>& st)
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{
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return SphericalTensor2D<Cmpt>
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(
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0.5*tr(st)
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);
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}
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//- Return the symmetric part of a SymmTensor2D, i.e. itself
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template<class Cmpt>
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inline const SymmTensor2D<Cmpt>& symm(const SymmTensor2D<Cmpt>& st)
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{
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return st;
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}
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//- Return twice the symmetric part of a SymmTensor2D, i.e. twice itself
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> twoSymm(const SymmTensor2D<Cmpt>& st)
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{
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return 2*st;
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}
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//- Return the deviatoric part of a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> dev(const SymmTensor2D<Cmpt>& st)
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{
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return st - sph(st);
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}
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//- Return the two-third deviatoric part of a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> dev2(const SymmTensor2D<Cmpt>& st)
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{
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return st - 2*sph(st);
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}
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//- Return the determinant of a SymmTensor2D
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template<class Cmpt>
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inline Cmpt det(const SymmTensor2D<Cmpt>& st)
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{
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return (st.xx()*st.yy() - st.xy()*st.xy());
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}
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//- Return the cofactor SymmTensor2D of a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> cof(const SymmTensor2D<Cmpt>& st)
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{
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return SymmTensor2D<Cmpt>
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(
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st.yy(), -st.yx(),
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st.xx()
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);
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}
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//- Return the inverse of a SymmTensor2D using a given determinant
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> inv(const SymmTensor2D<Cmpt>& st, const Cmpt detst)
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{
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#ifdef FULLDEBUG
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if (mag(detst) < SMALL)
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{
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FatalErrorInFunction
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<< "SymmTensor2D is not invertible due to the zero determinant:"
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<< "det(SymmTensor2D) = " << mag(detst)
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<< abort(FatalError);
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}
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#endif
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// cofactor and adjugate matrices of SymmTensor are the same, hence no .T()
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return cof(st)/detst;
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}
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//- Return the inverse of a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> inv(const SymmTensor2D<Cmpt>& st)
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{
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return inv(st, det(st));
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}
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//- Return the 1st invariant of a SymmTensor2D
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template<class Cmpt>
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inline Cmpt invariantI(const SymmTensor2D<Cmpt>& st)
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{
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return tr(st);
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}
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//- Return the 2nd invariant of a SymmTensor2D
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template<class Cmpt>
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inline Cmpt invariantII(const SymmTensor2D<Cmpt>& st)
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{
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return det(st);
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}
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//- Return the inner-product of a SymmTensor2D with itself
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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innerSqr(const SymmTensor2D<Cmpt>& st)
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{
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return SymmTensor2D<Cmpt>
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(
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st.xx()*st.xx() + st.xy()*st.xy(),
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st.xx()*st.xy() + st.xy()*st.yy(),
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st.xy()*st.xy() + st.yy()*st.yy()
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);
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}
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//- Return the square of Frobenius norm of a SymmTensor2D as a Cmpt
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template<class Cmpt>
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inline Cmpt magSqr(const SymmTensor2D<Cmpt>& st)
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{
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return Cmpt
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(
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mag(st.xx()*st.xx()) + 2*mag(st.xy()*st.xy())
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+ mag(st.yy()*st.yy())
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);
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}
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//- Outer-product of a Vector2D with itself
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template<class Cmpt>
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inline SymmTensor2D<Cmpt> sqr(const Vector2D<Cmpt>& v)
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{
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return SymmTensor2D<Cmpt>
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(
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v.x()*v.x(), v.x()*v.y(),
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v.y()*v.y()
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);
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}
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// * * * * * * * * * * * * * * * Global Operators * * * * * * * * * * * * * //
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//- Sum of a SphericalTensor2D and a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator+(const SphericalTensor2D<Cmpt>& spt1, const SymmTensor2D<Cmpt>& st2)
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{
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return SymmTensor2D<Cmpt>
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(
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spt1.ii() + st2.xx(), st2.xy(),
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spt1.ii() + st2.yy()
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);
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}
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//- Sum of a SymmTensor2D and a SphericalTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator+(const SymmTensor2D<Cmpt>& st1, const SphericalTensor2D<Cmpt>& spt2)
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{
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return SymmTensor2D<Cmpt>
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(
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st1.xx() + spt2.ii(), st1.xy(),
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st1.yy() + spt2.ii()
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);
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}
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//- Subtract a SymmTensor2D from a SphericalTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator-(const SphericalTensor2D<Cmpt>& spt1, const SymmTensor2D<Cmpt>& st2)
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{
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return SymmTensor2D<Cmpt>
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(
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spt1.ii() - st2.xx(), -st2.xy(),
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spt1.ii() - st2.yy()
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);
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}
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//- Subtract a SphericalTensor2D from a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator-(const SymmTensor2D<Cmpt>& st1, const SphericalTensor2D<Cmpt>& spt2)
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{
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return SymmTensor2D<Cmpt>
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(
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st1.xx() - spt2.ii(), st1.xy(),
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st1.yy() - spt2.ii()
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);
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}
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//- Division of a SymmTensor2D by a Cmpt
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator/(const SymmTensor2D<Cmpt>& st, const Cmpt s)
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{
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return SymmTensor2D<Cmpt>
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(
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st.xx()/s, st.xy()/s,
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st.yy()/s
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);
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}
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//- Inner-product of a SymmTensor2D and a SymmTensor2D
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template<class Cmpt>
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inline Tensor2D<Cmpt>
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operator&(const SymmTensor2D<Cmpt>& st1, const SymmTensor2D<Cmpt>& st2)
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{
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return Tensor2D<Cmpt>
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(
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st1.xx()*st2.xx() + st1.xy()*st2.xy(),
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st1.xx()*st2.xy() + st1.xy()*st2.yy(),
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st1.xy()*st2.xx() + st1.yy()*st2.xy(),
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st1.xy()*st2.xy() + st1.yy()*st2.yy()
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);
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}
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//- Inner-product of a SphericalTensor2D and a SymmTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator&(const SphericalTensor2D<Cmpt>& spt1, const SymmTensor2D<Cmpt>& st2)
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{
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return SymmTensor2D<Cmpt>
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(
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spt1.ii()*st2.xx(), spt1.ii()*st2.xy(),
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spt1.ii()*st2.yy()
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);
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}
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//- Inner-product of a SymmTensor2D and a SphericalTensor2D
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template<class Cmpt>
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inline SymmTensor2D<Cmpt>
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operator&(const SymmTensor2D<Cmpt>& st1, const SphericalTensor2D<Cmpt>& spt2)
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{
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return SymmTensor2D<Cmpt>
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(
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st1.xx()*spt2.ii(), st1.xy()*spt2.ii(),
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st1.yy()*spt2.ii()
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);
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}
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//- Inner-product of a SymmTensor2D and a Vector2D
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template<class Cmpt>
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inline Vector2D<Cmpt>
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operator&(const SymmTensor2D<Cmpt>& st, const Vector2D<Cmpt>& v)
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{
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return Vector2D<Cmpt>
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(
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st.xx()*v.x() + st.xy()*v.y(),
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st.xy()*v.x() + st.yy()*v.y()
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);
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}
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//- Inner-product of a Vector2D and a SymmTensor2D
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template<class Cmpt>
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inline Vector2D<Cmpt>
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operator&(const Vector2D<Cmpt>& v, const SymmTensor2D<Cmpt>& st)
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{
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return Vector2D<Cmpt>
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(
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v.x()*st.xx() + v.y()*st.xy(),
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v.x()*st.xy() + v.y()*st.yy()
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);
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}
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//- Double-inner-product of a SymmTensor2D and a SymmTensor2D
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template<class Cmpt>
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inline Cmpt
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operator&&(const SymmTensor2D<Cmpt>& st1, const SymmTensor2D<Cmpt>& st2)
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{
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return
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(
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st1.xx()*st2.xx() + 2*st1.xy()*st2.xy()
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+ st1.yy()*st2.yy()
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);
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}
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//- Double-inner-product of a SphericalTensor2D and a SymmTensor2D
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template<class Cmpt>
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inline Cmpt
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operator&&(const SphericalTensor2D<Cmpt>& spt1, const SymmTensor2D<Cmpt>& st2)
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{
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return (spt1.ii()*st2.xx() + spt1.ii()*st2.yy());
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}
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//- Double-inner-product of a SymmTensor2D and a SphericalTensor2D
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template<class Cmpt>
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inline Cmpt
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operator&&(const SymmTensor2D<Cmpt>& st1, const SphericalTensor2D<Cmpt>& spt2)
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{
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return (st1.xx()*spt2.ii() + st1.yy()*spt2.ii());
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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template<class Cmpt>
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class outerProduct<SymmTensor2D<Cmpt>, Cmpt>
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{
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public:
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typedef SymmTensor2D<Cmpt> type;
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};
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template<class Cmpt>
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class outerProduct<Cmpt, SymmTensor2D<Cmpt>>
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{
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public:
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typedef SymmTensor2D<Cmpt> type;
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};
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template<class Cmpt>
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class innerProduct<SymmTensor2D<Cmpt>, SymmTensor2D<Cmpt>>
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{
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public:
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typedef Tensor2D<Cmpt> type;
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};
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template<class Cmpt>
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class innerProduct<SymmTensor2D<Cmpt>, Vector2D<Cmpt>>
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{
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public:
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typedef Vector2D<Cmpt> type;
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};
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template<class Cmpt>
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class innerProduct<Vector2D<Cmpt>, SymmTensor2D<Cmpt>>
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{
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public:
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typedef Vector2D<Cmpt> type;
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};
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template<class Cmpt>
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class typeOfSum<SphericalTensor2D<Cmpt>, SymmTensor2D<Cmpt>>
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{
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public:
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typedef SymmTensor2D<Cmpt> type;
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};
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template<class Cmpt>
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class typeOfSum<SymmTensor2D<Cmpt>, SphericalTensor2D<Cmpt>>
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{
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public:
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|
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typedef SymmTensor2D<Cmpt> type;
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|
};
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|
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|
template<class Cmpt>
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class innerProduct<SphericalTensor2D<Cmpt>, SymmTensor2D<Cmpt>>
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|
{
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|
public:
|
|
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|
typedef SymmTensor2D<Cmpt> type;
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|
};
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|
|
|
template<class Cmpt>
|
|
class innerProduct<SymmTensor2D<Cmpt>, SphericalTensor2D<Cmpt>>
|
|
{
|
|
public:
|
|
|
|
typedef SymmTensor2D<Cmpt> type;
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|
};
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|
|
|
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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|
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} // End namespace Foam
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|
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// ************************************************************************* //
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