Genuinely multidimensional upwinding for the 2D shallow water equations (Q1902681)

A multidimensional upwinding technique is applied to the simulation of 2D shallow water flows. It is adapted from fluctuation splitting methods recently proposed for the solution of the Euler system of equations 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 presented.