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arXiv · 1505.06076

Hamiltonian integration methods for Vlasov-Maxwell equations

Yang He·Hong Qin·Yajuan Sun·Jianyuan Xiao·Ruili Zhang·Jian Liu
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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.

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Yang He, Hong Qin, Yajuan Sun, Jianyuan Xiao, Ruili Zhang, Jian Liu. 2015-05-22. Hamiltonian integration methods for Vlasov-Maxwell equations. https://doi.org/10.1063/1.4938034

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