Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

Staggered Grid Scheme for The Shallow Water Equations and Related Models

23/10/2013 - 15:00 - 16:00
P1 010

The shallow water equations are the usual model to describe fluid flow in the rivers, channels, estuaries or coastal areas. From a mathematical viewpoint, the shallow water equations form a nonlinear hyperbolic system of conservation laws. Finite volume methods are the reference numerical methods for this type of problem. Staggered finite volume discretizations for solving nonlinear hyperbolic system of conservation laws have been investigated in the past few years. In contrast to the collocated discretization, the different unknowns of the system are approximated on staggered meshes. The numerical fluxes can then be computed in a simpler way, avoiding the use of an approximate Riemann solver. Note that staggered discretizations have been used for a long time for systems of partial differential equations such as the Maxwell equations, the Navier-Stokes equations or the nonconservative shallow water equations.