Author(s)

C.G. Mingham, D.M. Causon, D.M. Ingram

Abstract

A simple update to a well known classical scheme for solving the shallow water equations is described which is computationally efficient and able to resolve accurately both subcritical and supercritical flows. The solver is the MacCormack scheme with a total variation diminishing term appended to the corrector step which eliminates the numerical oscillations which often arise when the convective terms are discretised using classical central difference schemes. The scheme is explicit, second order in space and time and formulated in finite volume form for ease of implementation on a general boundary conforming grid. Bench mark solutions in one and two dim

Keywords