Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit

详细信息    查看全文

• 作者：P. Degond^a ; ^{pdegond@imperial.ac.uk} ; F. Deluzet^b ; ^{fabrice.deluzet@math.univ-toulouse.fr} ; D. Doyen^c ; ^{david.doyen@univ-mlv.fr}
• 关键词：Plasma ; Debye length ; Quasi-neutrality ; Vlasov&ndash ; Maxwell ; Asymptotic-Preserving scheme
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：467-492
• 全文大小：2465 K
• 卷排序：330

文摘

In this article, we design Asymptotic-Preserving Particle-In-Cell methods for the Vlasov–Maxwell system in the quasi-neutral limit, this limit being characterized by a Debye length negligible compared to the space scale of the problem. These methods are consistent discretizations of the Vlasov–Maxwell system which, in the quasi-neutral limit, remain stable and are consistent with a quasi-neutral model (in this quasi-neutral model, the electric field is computed by means of a generalized Ohm law). The derivation of Asymptotic-Preserving methods is not straightforward since the quasi-neutral model is a singular limit of the Vlasov–Maxwell model. The key step is a reformulation of the Vlasov–Maxwell system which unifies the two models in a single set of equations with a smooth transition from one to another. As demonstrated in various and demanding numerical simulations, the Asymptotic-Preserving methods are able to treat efficiently both quasi-neutral plasmas and non-neutral plasmas, making them particularly well suited for complex problems involving dense plasmas with localized non-neutral regions.