Numerical modeling of shallow water flows with wetting and drying boundaries by a finite volume method

A finite volume method on unstructured meshes has been developed for solving the system of shallow water equations. The system of equations is formulated as a conservation law, and integrated over each cell. The solution is approximated on each cell by constants or linears. Numerical fluxes at cell interfaces are computed using Roe's approximate solution of the Riemann shock-tube problem. This paper outlines the method and discusses the extension of this procedure to physical problems involving wetting and drying.