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DOI码：10.1016/j.jcp.2019.06.070

发表刊物：Journal of Computational Physics

关键字：Hamiltonian Splitting, Vlasov-Maxwell System

摘要：In this paper, the numerical discretizations based on Hamiltonian splitting for solving the Vlasov–Maxwell system are constructed. We reformulate the Vlasov–Maxwell system in Morrison–Marsden–Weinstein Poisson bracket form. Then the Hamiltonian of this system is split into five parts, with which five corresponding Hamiltonian subsystems are obtained. The splitting method in time is derived by composing the solutions to these five subsystems. Combining the splitting method in time with the Fourier spectral method and finite volume method in space gives the full numerical discretizations which possess good conservation for the conserved quantities including energy, momentum, charge, etc. In numerical experiments, we simulate the Landau damping, Weibel instability and Bernstein wave to verify the numerical algorithms.

合写作者：Yingzhe Li,Yang He,Yajuan Sun,Jitse Niesen,Hong Qin,Jian Liu

论文类型：期刊论文

学科门类：理学

卷号：396

页面范围：:381-399

是否译文：否

发表时间：2019-11-01

收录刊物：SCI

发布期刊链接：https://www.sciencedirect.com/science/article/pii/S0021999119304784