Numerical simulations of one laser-plasma model based on Poisson structure
Li, Yingzhe2,3; Sun, Yajuan2,3; Crouseilles, Nicolas1,4
刊名JOURNAL OF COMPUTATIONAL PHYSICS
2020-03-15
卷号405页码:20
关键词Laser-plasma interaction Vlasov-Maxwell system Poisson bracket Hamiltonian splitting Conservative splitting
ISSN号0021-9991
DOI10.1016/j.jcp.2019.109172
英文摘要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.
资助项目National Natural Science Foundation of China[11771436] ; ITER-China Program[2014GB124005] ; EUROfusion Consortium ; Euratom research and training programme 2019-2020[633053]
WOS研究方向Computer Science ; Physics
语种英语
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号WOS:000514823000033
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50852]  
专题中国科学院数学与系统科学研究院
通讯作者Sun, Yajuan
作者单位1.Univ Rennes, Inria Bretagne Atlantique, Mingus, France
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
4.Univ Rennes, ENS Rennes, Mingus, France
推荐引用方式
GB/T 7714
Li, Yingzhe,Sun, Yajuan,Crouseilles, Nicolas. Numerical simulations of one laser-plasma model based on Poisson structure[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2020,405:20.
APA Li, Yingzhe,Sun, Yajuan,&Crouseilles, Nicolas.(2020).Numerical simulations of one laser-plasma model based on Poisson structure.JOURNAL OF COMPUTATIONAL PHYSICS,405,20.
MLA Li, Yingzhe,et al."Numerical simulations of one laser-plasma model based on Poisson structure".JOURNAL OF COMPUTATIONAL PHYSICS 405(2020):20.
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