Energy-preserving algorithm for gyrocenter dynamics of charged particles

doi:10.1007/s11075-019-00739-1

CSpace

	Energy-preserving algorithm for gyrocenter dynamics of charged particles
	Zhang, Ruili 1; Liu, Jian 2; Qin, Hong 2,3; Tang, Yifa 4,5
	2019-08-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	81 期号:4 页码:1521-1530
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.
关键词	Energy-preserving algorithm Gyrocenter system Discrete gradient method
DOI	10.1007/s11075-019-00739-1
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000478001200021
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/35289
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.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 2.Univ Sci & Technol China, Sch Phys, Hefei 230026, Anhui, Peoples R China 3.Princeton Univ, Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA 4.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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.