Module tensor 

Full (non-symmetric) 3×3 tensor (Tensor). Full (non-symmetric) 3×3 tensor (Tensor) and its OpenFOAM-style operators, invariants, and decompositions.

Components are dimensionless f64 stored row-major (xx, xy, xz, yx, yy, yz, zx, zy, zz). Operator names follow OpenFOAM: mat_mul/mat_vec are the single inner product (&), double_inner the double contraction (&&), and the dyadic/outer product is Mul (*) of two vectors.

Structs

Tensor

Full (non-symmetric) 3×3 tensor stored row-major. Component order: xx, xy, xz, yx, yy, yz, zx, zy, zz. Maps to Foam::tensor (Foam::Tensor<scalar>).

Functions

det

Determinant det(T).

dev

Deviatoric part T - (tr/3)*I.

dev2

Two-thirds deviatoric T - (2*tr/3)*I.

dev_symm

Deviatoric of the symmetric part symm(T) - (tr/3)*I.

dev_two_symm

Deviatoric of twice the symmetric part twoSymm(T) - (2*tr/3)*I.

hodge_dual_of_vec

Hodge dual of a Vector as a skew-symmetric Tensor. C++ operator*(Vector).

inv

Inverse T⁻¹ (panics in debug builds if singular).

lerp

Linear interpolation (1-t)*a + t*b between two tensors.

outer

Outer product v ⊗ w. Same as v * w but as a named function.

skew

Skew-symmetric part 0.5*(T - Tᵀ).

symm

Symmetric part 0.5*(T + Tᵀ).

tr

Trace tr(T) = xx + yy + zz.

two_symm

Twice the symmetric part T + Tᵀ.