Numerical approximation of a compressible multiphase system

Abstract

The numerical simulation of non conservative systemis a difficult challenge for two reasons at least. The first one is that it is not possible to derive jump relations directly fromconservation principles, so that in general, if themodel description is non ambiguous for smooth solutions, this is no longer the case for discontinuous solutions. From the numerical view point, this leads to the following situation: if a scheme is stable, its limit for mesh convergence will depend on its dissipative structure. This is well known since at l Show more