Methods on unstructured grids, WENO and ENO Recovery techniques

Abstract

Finite volume approximations comprise the most successful class of discretisation techniques for the conservation laws of compressible fluid mechanics. Their success is based not only on their relative simplicity as compared to finite difference and finite element approximations, but also on their flexibility and ability to unite ideas from finite elements with those from finite differences. A first basic finite volume approximation of the Euler equations can be written down for arbitrary grids directly from the conservation laws itself and coded by a novice student within a short amount of time.