An asymptotically stable Particle-in-Cell (PIC) scheme for collisionless plasma simulations near quasineutrality |
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Authors: | Pierre Degond Fabrice Deluzet Laurent Navoret |
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Institution: | 1. MIP, UMR 5640 (CNRS-UPS-INSA-UT1), université Paul-Sabatier, 31062 Toulouse cedex 09, France;2. Département de mathématiques, École normale supérieure de Cachan, 61, avenue du Président Wilson, 94235 Cachan cedex, France |
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Abstract: | We propose a new Particle-in-Cell scheme for the Vlasov–Poisson equation. This scheme remains stable when the Debye length and plasma period tend to zero without any restriction on the size of the time and length step. It relies on a semi-implicit integration of the particle trajectories. The numerical integration cost is that of the standard explicit method thanks to the use of a reformulation of the Poisson equation. To cite this article: P. Degond et al., C. R. Acad. Sci. Paris, Ser. I 343 (2006). |
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