An asymptotically stable discretization for the Euler-Poisson system in the quasi-neutral limit

We are interested in the modeling of a plasma in the quasi-neutral limit using the Euler-Poisson system. When this system is discretized with a standard numerical scheme, it is subject to a severe numerical constraint related to the quasi-neutrality of the plasma. We propose an asymptotically stable discretization of this system in the quasi-neutral limit. We present numerical simulations for two different one-dimensional test cases that confirm the expected stability of the scheme in the quasi-neutral limit. To cite this article: R Crispel et al., C R. Acad. Sci. Paris, Ser. I 341 (2005). (C) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.