GENUINELY MULTIDIMENSIONAL UPWINDING FOR THE 2D SHALLOW-WATER EQUATIONS

A multidimensional upwinding technique is applied to the simulation of 2D shallow water flows. It is adapted from fluctuation splitting meth ods recently proposed for the solution of the Euler system of equation s on unstructured triangular grids. The basis of the numerical method is stated and the particular adaptation to the shallow water system is described. Numerical results of interest to hydraulic engineers are p resented. Despite the complexities, advantages related to the use of a discretisation based on triangles would seem to make the schemes comp etitive with those currently in use. (C) 1995 Academic Press. Inc.