An asymptotically stable discretization for the Euler–Poisson system in the quasi-neutral limit |
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Authors: | Pierre Crispel Pierre Degond Marie-Hélène Vignal |
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Institution: | 1. MIP, UMR 5640 (CNRS-UPS-INSA-UT1), université Paul-Sabatier, 31062 Toulouse cedex 09, France;2. CNES, centre de Toulouse, 18, avenue Edouard-Belin, 31401 Toulouse, France;3. ONERA, centre de Toulouse 2, avenue Edouard-Belin, 31055 Toulouse cedex 4, France |
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Abstract: | 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: P. Crispel et al., C. R. Acad. Sci. Paris, Ser. I 341 (2005). |
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