A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations
Résumé
In this article we propose and implement a multilevel method to simulate the solution of the two-dimen- sional nonlinear shallow-water equations. The multilevel method is based on a central-upwind finite vol- ume 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.