Numerical stability of a plasma sheath

Autor: Badsi Mehdi, Mehrenberger Michel, Navoret Laurent
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: ESAIM: Proceedings and Surveys, Vol 64, Pp 17-36 (2018)
Druh dokumentu: article
ISSN: 2267-3059
20186401
DOI: 10.1051/proc/201864017
Popis: 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.
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