Symplectic integrators with adaptive time step applied to runaway electron dynamics

doi:10.1007/s11075-018-0636-6

	Symplectic integrators with adaptive time step applied to runaway electron dynamics
	Shi, Yanyan 1,2; Sun, Yajuan1,2 ; He, Yang 3; Qin, Hong 4,5; Liu, Jian 5,6
	2019-08-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	81 期号:4 页码:1295-1309
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.
关键词	Runaway electrons Symplectic methods Adaptive time step
DOI	10.1007/s11075-018-0636-6
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000478001200008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35360
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, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Sci & Technol, Sch Math & Phys, Beijing 100083, Peoples R China 4.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 5.USTC, Dept Engn & Appl Phys, Hefei 230026, Anhui, Peoples R China 6.Chinese Acad Sci, Key Lab Geospace Environm, 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.