Abstract:
We introduce a new scheme of finite volume
type for barotropic Euler equations. The numerical unknowns, namely
densities and velocities, are defined on staggered grids.
The numerical fluxes are defined by using the framework of kinetic
schemes. We can consider general (convex) pressure laws. We justify
that the density remains non negative and the total physical
entropy does not increase, under suitable stability conditions.
Performances of the scheme are illustrated through a set of numerical
experiments.