TensorI_.H File Reference

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Detailed Description

Definition in file TensorI_.H.

#include "src/OpenFOAM/primitives/SymmTensor/SymmTensor_.H"

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Classes
class	typeOfSum< SphericalTensor< Cmpt >, Tensor< Cmpt > >
class	typeOfSum< Tensor< Cmpt >, SphericalTensor< Cmpt > >
class	innerProduct< SphericalTensor< Cmpt >, Tensor< Cmpt > >
class	innerProduct< Tensor< Cmpt >, SphericalTensor< Cmpt > >
class	typeOfSum< SymmTensor< Cmpt >, Tensor< Cmpt > >
class	typeOfSum< Tensor< Cmpt >, SymmTensor< Cmpt > >
class	innerProduct< SymmTensor< Cmpt >, Tensor< Cmpt > >
class	innerProduct< Tensor< Cmpt >, SymmTensor< Cmpt > >

Namespaces
namespace	Foam
	Namespace for OpenFOAM.

Functions
template<class Cmpt >
Vector< Cmpt >	operator* (const Tensor< Cmpt > &t)
	Hodge Dual operator (tensor -> vector)
template<class Cmpt >
Tensor< Cmpt >	operator* (const Vector< Cmpt > &v)
	Hodge Dual operator (vector -> tensor)
template<class Cmpt >
innerProduct< Tensor< Cmpt > , Tensor< Cmpt > >::type	operator& (const Tensor< Cmpt > &t1, const Tensor< Cmpt > &t2)
	Inner-product between two tensors.
template<class Cmpt >
innerProduct< Tensor< Cmpt > , Vector< Cmpt > >::type	operator& (const Tensor< Cmpt > &t, const Vector< Cmpt > &v)
	Inner-product between a tensor and a vector.
template<class Cmpt >
innerProduct< Vector< Cmpt > , Tensor< Cmpt > >::type	operator& (const Vector< Cmpt > &v, const Tensor< Cmpt > &t)
	Inner-product between a vector and a tensor.
template<class Cmpt >
outerProduct< Vector< Cmpt > , Vector< Cmpt > >::type	operator* (const Vector< Cmpt > &v1, const Vector< Cmpt > &v2)
	Outer-product between two vectors.
template<class Cmpt >
innerProduct< Vector< Cmpt > , Tensor< Cmpt > >::type	operator/ (const Vector< Cmpt > &v, const Tensor< Cmpt > &t)
	Division of a vector by a tensor, i.e. dot-product with the tensor inverse.
template<class Cmpt >
Cmpt	tr (const Tensor< Cmpt > &t)
	Return the trace of a tensor.
template<class Cmpt >
SphericalTensor< Cmpt >	sph (const Tensor< Cmpt > &t)
	Return the spherical part of a tensor.
template<class Cmpt >
SymmTensor< Cmpt >	symm (const Tensor< Cmpt > &t)
	Return the symmetric part of a tensor.
template<class Cmpt >
SymmTensor< Cmpt >	twoSymm (const Tensor< Cmpt > &t)
	Return twice the symmetric part of a tensor.
template<class Cmpt >
Tensor< Cmpt >	skew (const Tensor< Cmpt > &t)
	Return the skew-symmetric part of a tensor.
template<class Cmpt >
const Tensor< Cmpt > &	skew (const SymmTensor< Cmpt > &st)
	Return the skew-symmetric part of a symmetric tensor.
template<class Cmpt >
Tensor< Cmpt >	dev (const Tensor< Cmpt > &t)
	Return the deviatoric part of a tensor.
template<class Cmpt >
Tensor< Cmpt >	dev2 (const Tensor< Cmpt > &t)
	Return the deviatoric part of a tensor.
template<class Cmpt >
Cmpt	det (const Tensor< Cmpt > &t)
	Return the determinant of a tensor.
template<class Cmpt >
Tensor< Cmpt >	cof (const Tensor< Cmpt > &t)
	Return the cofactor tensor of a tensor.
template<class Cmpt >
Tensor< Cmpt >	inv (const Tensor< Cmpt > &t, const Cmpt dett)
	Return the inverse of a tensor give the determinant.
template<class Cmpt >
Tensor< Cmpt >	inv (const Tensor< Cmpt > &t)
	Return the inverse of a tensor.
template<class Cmpt >
Cmpt	invariantI (const Tensor< Cmpt > &t)
	Return the 1st invariant of a tensor.
template<class Cmpt >
Cmpt	invariantII (const Tensor< Cmpt > &t)
	Return the 2nd invariant of a tensor.
template<class Cmpt >
Cmpt	invariantIII (const Tensor< Cmpt > &t)
	Return the 3rd invariant of a tensor.
template<class Cmpt >
Tensor< Cmpt >	operator+ (const SphericalTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
template<class Cmpt >
Tensor< Cmpt >	operator+ (const Tensor< Cmpt > &t1, const SphericalTensor< Cmpt > &st2)
template<class Cmpt >
Tensor< Cmpt >	operator- (const SphericalTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
template<class Cmpt >
Tensor< Cmpt >	operator- (const Tensor< Cmpt > &t1, const SphericalTensor< Cmpt > &st2)
template<class Cmpt >
Tensor< Cmpt >	operator& (const SphericalTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
	Inner-product between a spherical tensor and a tensor.
template<class Cmpt >
Tensor< Cmpt >	operator& (const Tensor< Cmpt > &t1, const SphericalTensor< Cmpt > &st2)
	Inner-product between a tensor and a spherical tensor.
template<class Cmpt >
Cmpt	operator&& (const SphericalTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
	Double-dot-product between a spherical tensor and a tensor.
template<class Cmpt >
Cmpt	operator&& (const Tensor< Cmpt > &t1, const SphericalTensor< Cmpt > &st2)
	Double-dot-product between a tensor and a spherical tensor.
template<class Cmpt >
Tensor< Cmpt >	operator+ (const SymmTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
template<class Cmpt >
Tensor< Cmpt >	operator+ (const Tensor< Cmpt > &t1, const SymmTensor< Cmpt > &st2)
template<class Cmpt >
Tensor< Cmpt >	operator- (const SymmTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
template<class Cmpt >
Tensor< Cmpt >	operator- (const Tensor< Cmpt > &t1, const SymmTensor< Cmpt > &st2)
template<class Cmpt >
Tensor< Cmpt >	operator& (const SymmTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
	Inner-product between a spherical tensor and a tensor.
template<class Cmpt >
Tensor< Cmpt >	operator& (const Tensor< Cmpt > &t1, const SymmTensor< Cmpt > &st2)
	Inner-product between a tensor and a spherical tensor.
template<class Cmpt >
Cmpt	operator&& (const SymmTensor< Cmpt > &st1, const Tensor< Cmpt > &t2)
	Double-dot-product between a spherical tensor and a tensor.
template<class Cmpt >
Cmpt	operator&& (const Tensor< Cmpt > &t1, const SymmTensor< Cmpt > &st2)
	Double-dot-product between a tensor and a spherical tensor.