Solving the Vlasov–Maxwell equations using Hamiltonian splitting
 作者： Yingzhe Li,  Yang He,  Yajuan Sun,  Jitse Niesen,  Hong Qin,  Jian Liu 作者单位： 1LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China2School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China3School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China4Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK5Department of Engineering and Applied Physics, University of Science and Technology of China, Hefei, Anhui 230026, China6Plasma Physics Laboratory, Princeton University, Princeton, NJ 08543, USA7Key Laboratory of Geospace Environment, CAS, Hefei, Anhui 230026, People's Republic of China 刊名： Journal of Computational Physics, 2019, Vol.396 , pp.381-399 来源数据库： Elsevier Journal DOI： 10.1016/j.jcp.2019.06.070 关键词： Vlasov–Maxwell system;  Poisson bracket;  Hamiltonian splitting method; 原始语种摘要： Abstract(#br)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.

• Hamiltonian　哈密(尔)顿
• splitting　裂距
• Maxwell　麦克斯韦
• Poisson　泊松
• bracket　腕臂
• numerical　数字的
• reformulate　改订
• system
• composing　编制程序
• method　方法