Introduction to Irreducible Tensor Methods, Part 1

摘要

The use of irreducible tensors for effective implementation of a spectral scheme for solving the nonlinear Boltzmann equation has recently been shown. The theory of irreducible tensors appears to have potential for wide applications in other areas of fluid dynamics, and, more generally, in continuum mechanics, and forges links with the theory of dynamical systems. An introduction to the concept of irreducible tensors and associated group-theoretic methods is presented.