Symplectic integrators with adaptive time step applied to runaway electron dynamics | |
Shi, Yanyan2,3; Sun, Yajuan2,3; He, Yang4; Qin, Hong5,6; Liu, Jian1,6 | |
刊名 | NUMERICAL ALGORITHMS |
2019-08-01 | |
卷号 | 81期号:4页码:1295-1309 |
关键词 | Runaway electrons Symplectic methods Adaptive time step |
ISSN号 | 1017-1398 |
DOI | 10.1007/s11075-018-0636-6 |
英文摘要 | Studying the dynamics of runaway electrons has theoretical and practical significance. As the system is highly relativistic, multi-scale and nonlinear, accurate and efficient numerical methods with long-term stability are necessary. In this paper, we develop symplectic methods with adaptive time step and discuss the choice of step-size functions in accordance with the simulation problems for runaway electrons. In the implementation, in order to explore the practical impact of runaway electron dynamics, we use the electromagnetic field and some parameters often used in the study of plasma problems. Numerical results show that the new derived symplectic methods with adaptive time step exhibit good invariant-preserving property and superior stability over longtime integration. Moreover, with appropriate adaptive technique, the numerical efficiency in simulations is improved apparently. They are illustrated in the numerical experiments. |
资助项目 | National Natural Science Foundation of China[11771436] ; National Natural Science Foundation of China[11261140328] ; National Natural Science Foundation of China[11305171] ; CAS Program for Interdisciplinary Collaboration Team ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005] ; ITER-China Program[2015GB111003] ; JSPS-NRF-NSFC A3 Foresight Program in the field of Plasma Physics[NSFC-11261140328] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000478001200008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35359] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Sun, Yajuan |
作者单位 | 1.Chinese Acad Sci, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Sci & Technol, Sch Math & Phys, Beijing 100083, Peoples R China 5.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 6.USTC, Dept Engn & Appl Phys, Hefei 230026, Anhui, Peoples R China |
推荐引用方式 GB/T 7714 | Shi, Yanyan,Sun, Yajuan,He, Yang,et al. Symplectic integrators with adaptive time step applied to runaway electron dynamics[J]. NUMERICAL ALGORITHMS,2019,81(4):1295-1309. |
APA | Shi, Yanyan,Sun, Yajuan,He, Yang,Qin, Hong,&Liu, Jian.(2019).Symplectic integrators with adaptive time step applied to runaway electron dynamics.NUMERICAL ALGORITHMS,81(4),1295-1309. |
MLA | Shi, Yanyan,et al."Symplectic integrators with adaptive time step applied to runaway electron dynamics".NUMERICAL ALGORITHMS 81.4(2019):1295-1309. |
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