Hamiltonian splitting for the Vlasov-Maxwell equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:283

Article

Crouseilles, Nicolas^1,2  Einkemmer, Lukas³  Faou, Erwan^4,5 

[1] INRIA, F-35042 Rennes, France

[2] IRMAR, F-35042 Rennes, France

[3] Univ Innsbruck, A-6020 Innsbruck, Austria

[4] INRIA, F-35170 Bruz, France

[5] ENS Cachan Bretagne, F-35170 Bruz, France

关键词: Vlasov-Maxwell;    Hamiltonian splitting;    High order time discretization;    Charge conservation;   

DOI  :  10.1016/j.jcp.2014.11.029

来源: Elsevier

【 摘 要 】

A new splitting is proposed for solving the Vlasov-Maxwell system. This splitting is based on a decomposition of the Hamiltonian of the Vlasov-Maxwell system and allows for the construction of arbitrary high order methods by composition (independent of the specific deterministic method used for the discretization of the phase space). Moreover, we show that for a spectral method in space this scheme satisfies Poisson's equation without explicitly solving it. Finally, we present some examples in the context of the time evolution of an electromagnetic plasma instability which emphasizes the excellent behavior of the new splitting compared to methods from the literature. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free