An asymptotic preserving scheme for the barotropic baer-nunziato model

Abstract

We introduce in this paper a new scheme for obtaining approximations of solutions of the barotropic Baer-Nunziato (BN) model. This scheme is expected to provide relevant approximations when relaxation time scales embedded in pressure and velocity relaxation terms vanish. A brief recall of the BN model and the asymptotic model is first given. The scheme and its main properties are described and some numerical results are provided confirming that it behaves reasonably well