Geodesic
Numerical stability of a plasma sheath
Mehdi Badsi1 ; Michel Mehrenberger2 ; Laurent Navoret2
1 Institut de Mathématiques de Toulouse, UMR 5219, Université Toulouse 3, 118 Route de Narbonne, 31400 Toulouse
2 Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67000 Strasbourg, France, INRIA Nancy-Grand Est, TONUS Project, Strasbourg, France
ESAIM. Proceedings, Tome 64 (2018), pp. 17-36.

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We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/electron) Vlasov-Ampère model proposed in [3]. The main question addressed in this work is to know how accurately classical time-dependent Vlasov-Ampère numerical schemes preserve in long time these non-homogeneous stationary solutions with emission/absorption boundary conditions. In the context of high-order semi-Lagrangian methods, due to their large stencil, interpolation near the boundary of the domain requires also a specific treatment.
DOI : 10.1051/proc/201864017

Mehdi Badsi 1 ; Michel Mehrenberger 2 ; Laurent Navoret 2

1 Institut de Mathématiques de Toulouse, UMR 5219, Université Toulouse 3, 118 Route de Narbonne, 31400 Toulouse
2 Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67000 Strasbourg, France, INRIA Nancy-Grand Est, TONUS Project, Strasbourg, France 
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     author = {Mehdi Badsi and Michel Mehrenberger and Laurent Navoret},
     title = {Numerical stability of a plasma sheath},
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     doi = {10.1051/proc/201864017},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201864017/}
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Mehdi Badsi; Michel Mehrenberger; Laurent Navoret. Numerical stability of a plasma sheath. ESAIM. Proceedings, Tome 64 (2018), pp. 17-36. doi : 10.1051/proc/201864017. http://geodesic.mathdoc.fr/articles/10.1051/proc/201864017/

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