This article provides information on tensor mathematics, relevant to fluid dynamics and computational fluid dynamics (CFD). It describes scalars and vectors and typical algebraic vector operations. It follows with second rank tensors, their algebraic operations, symmetry, skewness and tensor invariants such as trace and determinant. It briefly discusses higher rank tensors before describing co-ordinate system and change of axis. Tensor calculus is introduced, along with derivative operators such as div, grad, curl and Laplacian. The final section covers the integral theorems of Gauss and Stokes, with a physical representation of div and curl, and scalar and vector potentials.
Tensor Mathematics: Contents
Tensor Mathematics