Energy-preserving methods for guiding center system based on averaged vector field

doi:10.1063/5.0075321

	Energy-preserving methods for guiding center system based on averaged vector field
	Zhu, Beibei 1; Tang, Yifa2,3 ; Liu, Jian 4,5,6
	2022-03-01
发表期刊	PHYSICS OF PLASMAS
ISSN	1070-664X
卷号	29 期号:3 页码:14
摘要	We propose a family of energy-preserving methods for guiding center dynamics by perceiving its Hamiltonian nature based on the averaged vector field. The energy conservation, symmetric property, and algebraic order of these methods are studied. Furthermore, higher order energy-preserving methods are systematically introduced by using a composition technique. Two second order and two fourth order symmetric energy-preserving methods are constructed and applied to simulate the guiding center motion in both the dipole magnetic field and the tokamak magnetic field. Numerical results show that these methods have significant superiorities in energy conservation compared with the existing canonicalized symplectic methods of the corresponding orders. The numerical case of the guiding center motion in the toroidal acceleration electric field exhibits favorable long-term conservative properties of the new methods to the particle-field system, while the kinetic energy of guiding centers keeps increasing. These energy-preserving methods based on the averaged vector field can be applied to any non-canonical Hamiltonian system.
DOI	10.1063/5.0075321
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11775222] ; National Natural Science Foundation of China[11901564] ; National Natural Science Foundation of China[11771438]
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas
WOS记录号	WOS:000764431200005
出版者	AIP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60164
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Jian
作者单位	1.Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Sci & Technol China, China & Sch Math Sci, Beijing 100049, Peoples R China 4.Univ Sci & Technol China, Sch Nucl Sci & Technol, Hefei, Anhui, Peoples R China 5.Univ Sci & Technol China, Dept Modern Phys, Hefei, Anhui, Peoples R China 6.Qilu Univ Technol, Shandong Comp Sci Ctr, Adv Algorithm Joint Lab, Jinan, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Beibei,Tang, Yifa,Liu, Jian. Energy-preserving methods for guiding center system based on averaged vector field[J]. PHYSICS OF PLASMAS,2022,29(3):14.
APA	Zhu, Beibei,Tang, Yifa,&Liu, Jian.(2022).Energy-preserving methods for guiding center system based on averaged vector field.PHYSICS OF PLASMAS,29(3),14.
MLA	Zhu, Beibei,et al."Energy-preserving methods for guiding center system based on averaged vector field".PHYSICS OF PLASMAS 29.3(2022):14.