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329 lines
9.6 KiB
C++
329 lines
9.6 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) 2019-2025 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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Class
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Foam::SymmTensor
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Description
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A templated (3 x 3) symmetric tensor of objects of \<T\>, effectively
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containing 6 elements, derived from VectorSpace.
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SourceFiles
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SymmTensorI.H
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\*---------------------------------------------------------------------------*/
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#ifndef Foam_SymmTensor_H
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#define Foam_SymmTensor_H
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#include "Vector.H"
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#include "SphericalTensor.H"
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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namespace Foam
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{
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/*---------------------------------------------------------------------------*\
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Class SymmTensor Declaration
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\*---------------------------------------------------------------------------*/
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template<class Cmpt>
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class SymmTensor
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:
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public VectorSpace<SymmTensor<Cmpt>, Cmpt, 6>
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{
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public:
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// Typedefs
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//- Equivalent type of labels used for valid component indexing
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typedef SymmTensor<label> labelType;
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// Member Constants
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//- Rank of SymmTensor is 2
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static constexpr direction rank = 2;
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// Static Data Members
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static const SymmTensor I;
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//- Component labeling enumeration
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enum components { XX, XY, XZ, YY, YZ, ZZ };
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// Generated Methods
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//- Default construct
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SymmTensor() = default;
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//- Copy construct
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SymmTensor(const SymmTensor&) = default;
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//- Copy assignment
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SymmTensor& operator=(const SymmTensor&) = default;
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// Constructors
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//- Construct initialized to zero
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inline SymmTensor(Foam::zero);
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//- Construct given VectorSpace of the same rank
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template<class Cmpt2>
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inline SymmTensor(const VectorSpace<SymmTensor<Cmpt2>, Cmpt2, 6>&);
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//- Construct given SphericalTensor
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inline SymmTensor(const SphericalTensor<Cmpt>&);
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//- Construct given the three row (or column) vectors
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inline SymmTensor
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(
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const Vector<Cmpt>& x,
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const Vector<Cmpt>& y,
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const Vector<Cmpt>& z,
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const bool transposed = false /* ignored */
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);
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//- Construct given the six components
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inline SymmTensor
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(
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const Cmpt txx, const Cmpt txy, const Cmpt txz,
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const Cmpt tyy, const Cmpt tyz,
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const Cmpt tzz
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);
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//- Construct from Istream
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inline explicit SymmTensor(Istream& is);
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// Member Functions
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// Component Access
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const Cmpt& xx() const noexcept { return this->v_[XX]; }
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const Cmpt& xy() const noexcept { return this->v_[XY]; }
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const Cmpt& xz() const noexcept { return this->v_[XZ]; }
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const Cmpt& yx() const noexcept { return this->v_[XY]; }
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const Cmpt& yy() const noexcept { return this->v_[YY]; }
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const Cmpt& yz() const noexcept { return this->v_[YZ]; }
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const Cmpt& zx() const noexcept { return this->v_[XZ]; }
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const Cmpt& zy() const noexcept { return this->v_[YZ]; }
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const Cmpt& zz() const noexcept { return this->v_[ZZ]; }
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Cmpt& xx() noexcept { return this->v_[XX]; }
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Cmpt& xy() noexcept { return this->v_[XY]; }
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Cmpt& xz() noexcept { return this->v_[XZ]; }
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Cmpt& yx() noexcept { return this->v_[XY]; }
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Cmpt& yy() noexcept { return this->v_[YY]; }
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Cmpt& yz() noexcept { return this->v_[YZ]; }
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Cmpt& zx() noexcept { return this->v_[XZ]; }
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Cmpt& zy() noexcept { return this->v_[YZ]; }
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Cmpt& zz() noexcept { return this->v_[ZZ]; }
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// Column-vector access
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//- Extract vector for column 0
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Vector<Cmpt> cx() const { return this->x(); }
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//- Extract vector for column 1
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Vector<Cmpt> cy() const { return this->y(); }
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//- Extract vector for column 2
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Vector<Cmpt> cz() const { return this->z(); }
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//- Extract vector for given column: compile-time check of index
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template<direction Idx>
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Vector<Cmpt> col() const { return this->row<Idx>(); }
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//- Extract vector for given column (0,1,2): runtime check of index
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Vector<Cmpt> col(const direction c) const { return this->row(c); }
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//- Set values of given column (0,1,2): runtime check of index
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void col(const direction c, const Vector<Cmpt>& v) { this->row(c, v); }
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//- Set column values
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void cols
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(
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const Vector<Cmpt>& x,
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const Vector<Cmpt>& y,
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const Vector<Cmpt>& z
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)
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{
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this->rows(x, y, z);
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}
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// Row-vector access
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//- Extract vector for row 0
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inline Vector<Cmpt> x() const;
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//- Extract vector for row 1
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inline Vector<Cmpt> y() const;
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//- Extract vector for row 2
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inline Vector<Cmpt> z() const;
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//- Extract vector for given row: compile-time check of index
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template<direction Row>
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inline Vector<Cmpt> row() const;
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//- Extract vector for given row (0,1,2): runtime check of index
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inline Vector<Cmpt> row(const direction r) const;
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//- Set values of given row: compile-time check of index
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template<direction Idx>
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inline void row(const Vector<Cmpt>& v);
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//- Set values of given row (0,1,2): runtime check of row
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inline void row(const direction r, const Vector<Cmpt>& v);
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//- Set row values
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inline void rows
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(
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const Vector<Cmpt>& x,
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const Vector<Cmpt>& y,
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const Vector<Cmpt>& z
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);
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// Diagonal access and manipulation
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//- Extract the diagonal as a vector
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inline Vector<Cmpt> diag() const;
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//- Set values of the diagonal
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inline void diag(const Vector<Cmpt>& v);
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//- Add to the diagonal
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inline void addDiag(const Vector<Cmpt>& v);
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//- Subtract from the diagonal
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inline void subtractDiag(const Vector<Cmpt>& v);
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//- The L2-norm squared of the diagonal
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inline scalar diagSqr() const;
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// Characteristics
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//- Is identity tensor?
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inline bool is_identity(const scalar tol = ROOTVSMALL) const;
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// Tensor Operations
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//- Return non-Hermitian transpose
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const SymmTensor<Cmpt>& T() const noexcept { return *this; }
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//- The determinate
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inline Cmpt det() const;
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//- The 2D determinant by excluding given direction
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inline Cmpt det2D(const direction excludeCmpt) const;
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//- Return adjunct matrix (transpose of cofactor matrix)
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inline SymmTensor<Cmpt> adjunct() const;
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//- Return cofactor matrix (transpose of adjunct matrix)
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inline SymmTensor<Cmpt> cof() const;
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//- Return 2D adjunct matrix by excluding given direction
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inline SymmTensor<Cmpt> adjunct2D(const direction excludeCmpt) const;
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//- Return inverse
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inline SymmTensor<Cmpt> inv() const;
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//- Return inverse, with (ad hoc) failsafe handling of 2D tensors
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inline SymmTensor<Cmpt> safeInv() const;
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//- Return inverse of 2D tensor (by excluding given direction)
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inline SymmTensor<Cmpt> inv2D(const direction excludeCmpt) const;
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// Member Operators
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//- Inherit VectorSpace assignment operators
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using SymmTensor::vsType::operator=;
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//- Assign to given SphericalTensor
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inline void operator=(const SphericalTensor<Cmpt>&);
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};
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// * * * * * * * * * * * * * * * * * Traits * * * * * * * * * * * * * * * * //
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//- Data are contiguous if component type is contiguous
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template<class Cmpt>
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struct is_contiguous<SymmTensor<Cmpt>> : is_contiguous<Cmpt> {};
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//- Data are contiguous label if component type is label
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template<class Cmpt>
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struct is_contiguous_label<SymmTensor<Cmpt>> : is_contiguous_label<Cmpt> {};
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//- Data are contiguous scalar if component type is scalar
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template<class Cmpt>
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struct is_contiguous_scalar<SymmTensor<Cmpt>> : is_contiguous_scalar<Cmpt> {};
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template<class Cmpt>
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class symmTypeOfRank<Cmpt, 2>
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{
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public:
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typedef SymmTensor<Cmpt> type;
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};
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template<class Cmpt>
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class typeOfSolve<SymmTensor<Cmpt>>
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{
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public:
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typedef SymmTensor<solveScalar> type;
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};
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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} // End namespace Foam
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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#include "SymmTensorI.H"
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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#endif
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// ************************************************************************* //
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