Solving the Vlasov–Maxwell equations using Hamiltonian splitting
作者: Yingzhe LiYang HeYajuan SunJitse NiesenHong QinJian Liu
作者单位: 1LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
2School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
3School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
4Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK
5Department of Engineering and Applied Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
6Plasma Physics Laboratory, Princeton University, Princeton, NJ 08543, USA
7Key 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/
关键词: Vlasov–Maxwell systemPoisson bracketHamiltonian 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...
全文获取路径: Elsevier  (合作)
影响因子:2.138 (2012)

  • 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