Energy-preserving algorithm for gyrocenter dynamics of charged particles

doi:10.1007/s11075-019-00739-1

	Energy-preserving algorithm for gyrocenter dynamics of charged particles
	Zhang, Ruili 5; Liu, Jian 4; Qin, Hong 3,4; Tang, Yifa 1,2
刊名	NUMERICAL ALGORITHMS
	2019-08-01
卷号	81 期号:4 页码:1521-1530
关键词	Energy-preserving algorithm Gyrocenter system Discrete gradient method
ISSN号	1017-1398
DOI	10.1007/s11075-019-00739-1
英文摘要	Gyrocenter dynamics of charged particles plays a fundamental and important role in plasma physics, which requires accuracy and conservation in a long-time simulation. Variational symplectic algorithms and canonicalized symplectic algorithms have been developed for gyrocenter dynamics. However, variational symplectic methods are always unstable, and canonicalized symplectic methods need coordinates transformation case by case, which is usually difficult to find. Based on the fact that the Hamiltonian function describing the energy of the system is invariant, we develop energy-preserving algorithms for gyrocenter dynamics systematically using the discrete gradient method. The given integrators have significant advantages in preserving energy and efficiency over long-time simulations, compared with non-symplectic methods and canonicalized symplectic algorithms.
资助项目	National Natural Science Foundation of China[NSFC-11505186] ; National Natural Science Foundation of China[11575185] ; National Natural Science Foundation of China[11575186] ; National Natural Science Foundation of China[11771438] ; National Natural Science Foundation of China[11775222] ; ITER-China Program[2015GB111003] ; ITER-China Program[2017YFE0301700] ; Fundamental Research Funds for the Central Universities[2017RC033] ; Fundamental Research Funds for the Central Universities[FRF-TP-16-066A1] ; Fundamental Research Funds for the Central Universities[WK2150110008] ; Key Research Program of Frontier Sciences CAS[QYZDB-SSW-SYS004]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000478001200021
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/35288]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jian
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 4.Univ Sci & Technol China, Sch Phys, Hefei 230026, Anhui, Peoples R China 5.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ruili,Liu, Jian,Qin, Hong,et al. Energy-preserving algorithm for gyrocenter dynamics of charged particles[J]. NUMERICAL ALGORITHMS,2019,81(4):1521-1530.
APA	Zhang, Ruili,Liu, Jian,Qin, Hong,&Tang, Yifa.(2019).Energy-preserving algorithm for gyrocenter dynamics of charged particles.NUMERICAL ALGORITHMS,81(4),1521-1530.
MLA	Zhang, Ruili,et al."Energy-preserving algorithm for gyrocenter dynamics of charged particles".NUMERICAL ALGORITHMS 81.4(2019):1521-1530.