Numerical stability of plasma sheath
Numerical Analysis
2018-02-19 v1 Computational Physics
Abstract
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-Amp{\`e}re model proposed in [3]. The main question addressed in this work is to know if classical numerical schemes can preserve stationary solutions with boundary conditions, since these solutions are not a priori conserved at the discrete level. In the context of high-order semi-Lagrangian method, due to their large stencil, interpolation near the boundary of the domain requires also a specific treatment.
Keywords
Cite
@article{arxiv.1802.05852,
title = {Numerical stability of plasma sheath},
author = {Mehdi Badsi and Michel Mehrenberger and Laurent Navoret},
journal= {arXiv preprint arXiv:1802.05852},
year = {2018}
}