Numerical simulations of one laser-plasma model based on Poisson structure

JOURNAL OF COMPUTATIONAL PHYSICS

卷:405

Article

Li, Yingzhe^1,2  Sun, Yajuan^1,2  Crouseilles, Nicolas^3,4 

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China

[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China

[3] Univ Rennes, Inria Bretagne Atlantique, Mingus, France

[4] Univ Rennes, ENS Rennes, Mingus, France

关键词: Laser-plasma interaction;    Vlasov-Maxwell system;    Poisson bracket;    Hamiltonian splitting;    Conservative splitting;   

DOI  :  10.1016/j.jcp.2019.109172

来源: Elsevier

【 摘 要 】

In this paper, a bracket structure is proposed for the laser-plasma interaction model introduced in [19], and it is proved by direct calculations that the bracket is Poisson which satisfies the Jacobi identity. Then splitting methods in time are proposed based on the Poisson structure. For the quasi-relativistic case, the Hamiltonian splitting leads to three subsystems which can be solved exactly. The conservative splitting is proposed for the fully relativistic case, and three one-dimensional conservative subsystems are obtained. Combined with the splittings in time, in phase space discretization we use the Fourier spectral and finite volume methods. It is proved that the discrete charge and discrete Poisson equation are conserved by our numerical schemes. Numerically, some numerical experiments are conducted to verify good conservations for the charge, energy and Poisson equation. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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