KMS Of Academy of mathematics and systems sciences, CAS
Numerical simulations of one laser-plasma model based on Poisson structure | |
Li, Yingzhe1,2; Sun, Yajuan1,2; Crouseilles, Nicolas3,4 | |
2020-03-15 | |
Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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ISSN | 0021-9991 |
Volume | 405Pages:20 |
Abstract | 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. |
Keyword | Laser-plasma interaction Vlasov-Maxwell system Poisson bracket Hamiltonian splitting Conservative splitting |
DOI | 10.1016/j.jcp.2019.109172 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[11771436] ; ITER-China Program[2014GB124005] ; EUROfusion Consortium ; Euratom research and training programme 2019-2020[633053] |
WOS Research Area | Computer Science ; Physics |
WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
WOS ID | WOS:000514823000033 |
Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50853 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Sun, Yajuan |
Affiliation | 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 |
Recommended Citation 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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