Author(s)

C.G. Mingham and D.M. Causon

Abstract

A numerical scheme for solving the solute transport equation is described which is able to resolve high spatial gradients which present severe challenges to classical numerical algorithms. The scheme is of the Godunov type developed originally for aerospace applications in which cell interface fluxes are obtained by the solution of a degenerate Riemann problem. The scheme is explicit and written in finite volume form so that it can be implemented on a boundary fitted grid. Sample bench mark solutions in one and two dimensions are shown to illustrate the high spatial accuracy of the method and its superiority over the classical Lax-Friedrich algorithm. The method co

Keywords