Hamiltonian integration methods for Vlasov-Maxwell equations
Computational Physics
2016-01-20 v1 Plasma Physics
Abstract
Hamiltonian integration methods for the Vlasov-Maxwell equations are developed by a Hamiltonian splitting technique. The Hamiltonian functional is split into five parts, i.e., the electrical energy, the magnetic energy, and the kinetic energy in three Cartesian components. Each of the subsystems is a Hamiltonian system with respect to the Morrison-Marsden-Weinstein Poisson bracket and can be solved exactly. Compositions of the exact solutions yield Poisson structure preserving, or Hamiltonian, integration methods for the Vlasov-Maxwell equations, which have superior long-term fidelity and accuracy.
Keywords
Cite
@article{arxiv.1505.06076,
title = {Hamiltonian integration methods for Vlasov-Maxwell equations},
author = {Yang He and Hong Qin and Yajuan Sun and Jianyuan Xiao and Ruili Zhang and Jian Liu},
journal= {arXiv preprint arXiv:1505.06076},
year = {2016}
}