A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations

In this article we propose and implement a multilevel method to simulate the solution of the two-dimensional nonlinear shallow-water equations. The multilevel method is based on a central-upwind finite volume scheme and uses new incremental unknowns which enable to preserve the numerical conservation of the scheme. The method is tested and analyzed on two and three levels of discretization on different test cases and turns out to furnish a good solution of the problems while saving CPU time.