DOI number: 10.1016/j.jcp.2019.06.070

Journal: Journal of Computational Physics

Key Words: Hamiltonian Splitting, Vlasov-Maxwell System

Abstract: 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.

Co-author: Yingzhe Li,Yang He,Yajuan Sun,Jitse Niesen,Hong Qin,Jian Liu

Indexed by: Journal paper

Discipline: Natural Science

Volume: 396

Page Number: :381-399

Translation or Not: no

Date of Publication: 2019-11-01

Included Journals: SCI

Links to published journals: https://www.sciencedirect.com/science/article/pii/S0021999119304784