FreeFOAM The Cross-Platform CFD Toolkit
SymmTensorI_.H File Reference

Detailed Description

Definition in file SymmTensorI_.H.

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Classes

class  outerProduct< SymmTensor< Cmpt >, Cmpt >
class  outerProduct< Cmpt, SymmTensor< Cmpt > >
class  innerProduct< SymmTensor< Cmpt >, SymmTensor< Cmpt > >
class  innerProduct< SymmTensor< Cmpt >, Vector< Cmpt > >
class  innerProduct< Vector< Cmpt >, SymmTensor< Cmpt > >
class  typeOfSum< SphericalTensor< Cmpt >, SymmTensor< Cmpt > >
class  typeOfSum< SymmTensor< Cmpt >, SphericalTensor< Cmpt > >
class  innerProduct< SphericalTensor< Cmpt >, SymmTensor< Cmpt > >
class  innerProduct< SymmTensor< Cmpt >, SphericalTensor< Cmpt > >

Namespaces

namespace  Foam
 Namespace for OpenFOAM.

Functions

template<class Cmpt >
Vector< Cmpt > operator* (const SymmTensor< Cmpt > &st)
 Hodge Dual operator (tensor -> vector)
template<class Cmpt >
Tensor< Cmpt > operator& (const SymmTensor< Cmpt > &st1, const SymmTensor< Cmpt > &st2)
 Inner-product between two symmetric tensors.
template<class Cmpt >
Cmpt operator&& (const SymmTensor< Cmpt > &st1, const SymmTensor< Cmpt > &st2)
 Double-dot-product between a symmetric tensor and a symmetric tensor.
template<class Cmpt >
Vector< Cmpt > operator& (const SymmTensor< Cmpt > &st, const Vector< Cmpt > &v)
 Inner-product between a symmetric tensor and a vector.
template<class Cmpt >
Vector< Cmpt > operator& (const Vector< Cmpt > &v, const SymmTensor< Cmpt > &st)
 Inner-product between a vector and a symmetric tensor.
template<class Cmpt >
Cmpt magSqr (const SymmTensor< Cmpt > &st)
template<class Cmpt >
Cmpt tr (const SymmTensor< Cmpt > &st)
 Return the trace of a symmetric tensor.
template<class Cmpt >
SphericalTensor< Cmpt > sph (const SymmTensor< Cmpt > &st)
 Return the spherical part of a symmetric tensor.
template<class Cmpt >
const SymmTensor< Cmpt > & symm (const SymmTensor< Cmpt > &st)
 Return the symmetric part of a symmetric tensor, i.e. itself.
template<class Cmpt >
SymmTensor< Cmpt > twoSymm (const SymmTensor< Cmpt > &st)
 Return twice the symmetric part of a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > dev (const SymmTensor< Cmpt > &st)
 Return the deviatoric part of a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > dev2 (const SymmTensor< Cmpt > &st)
 Return the deviatoric part of a symmetric tensor.
template<class Cmpt >
Cmpt det (const SymmTensor< Cmpt > &st)
 Return the determinant of a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > cof (const SymmTensor< Cmpt > &st)
 Return the cofactor symmetric tensor of a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > inv (const SymmTensor< Cmpt > &st, const Cmpt detst)
 Return the inverse of a symmetric tensor give the determinant.
template<class Cmpt >
SymmTensor< Cmpt > inv (const SymmTensor< Cmpt > &st)
 Return the inverse of a symmetric tensor.
template<class Cmpt >
Cmpt invariantI (const SymmTensor< Cmpt > &st)
 Return the 1st invariant of a symmetric tensor.
template<class Cmpt >
Cmpt invariantII (const SymmTensor< Cmpt > &st)
 Return the 2nd invariant of a symmetric tensor.
template<class Cmpt >
Cmpt invariantIII (const SymmTensor< Cmpt > &st)
 Return the 3rd invariant of a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > operator+ (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
template<class Cmpt >
SymmTensor< Cmpt > operator+ (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
template<class Cmpt >
SymmTensor< Cmpt > operator- (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
template<class Cmpt >
SymmTensor< Cmpt > operator- (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
template<class Cmpt >
SymmTensor< Cmpt > operator& (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
 Inner-product between a spherical symmetric tensor and a symmetric tensor.
template<class Cmpt >
SymmTensor< Cmpt > operator& (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
 Inner-product between a tensor and a spherical tensor.
template<class Cmpt >
Cmpt operator&& (const SphericalTensor< Cmpt > &spt1, const SymmTensor< Cmpt > &st2)
 Double-dot-product between a spherical tensor and a symmetric tensor.
template<class Cmpt >
Cmpt operator&& (const SymmTensor< Cmpt > &st1, const SphericalTensor< Cmpt > &spt2)
 Double-dot-product between a tensor and a spherical tensor.
template<class Cmpt >
SymmTensor< Cmpt > sqr (const Vector< Cmpt > &v)