Name
Title | ||
|---|---|---|
Asymptotic-Preserving Particle-In-Cell methods for the Vlasov-Maxwell system in the quasi-neutral limit. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.jcp.2016.11.018 | J. Comput. Physics |
Keywords | DocType | Volume |
Plasma,Debye length,Quasi-neutrality,Vlasov–Maxwell,Asymptotic-Preserving scheme | Journal | 330 |
Issue | ISSN | Citations |
C | 0021-9991 | 1 |
PageRank | References | Authors |
0.35 | 14 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Degond | 1 | 251 | 43.75 |
| Fabrice Deluzet | 2 | 62 | 9.73 |
| David Doyen | 3 | 1 | 0.35 |