ABSTRACT
ABSTRACT: The non conservative terms that appear in systems of conservation laws introduce an extra difficulty in practical applications. The influence of these terms in the stability region for explicit finite volume schemes is analyzed under the hypothesis of a well balanced scheme, based on the C-Property. It is demonstrated that in each particular situation the stability region is amplified or reduced, and how in some special cases it depends on the initial conditions. The time step requirements for stability are defined at the cell edges, related with the traditional CourantFriedrichs-Lewy (CFL) condition. This is applied to the plain shallow water equations, to the shallow water equations with solute transport and to sediment transport problems.
