A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics

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	A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
	Tang, HZ ; Xu, K
	2000-11-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	165 期号:1 页码:69-88
摘要	This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K. Xu, 1999, J. Comput. Phys. 153, 334) to multidimensional cases. The kinetic MHD scheme is constructed based on the direct splitting of the macroscopic Aux functions with the consideration of particle transport. At the same time, particle "collisions" are implemented in the free transport process to reduce the numerical dissipation. The high-order resolution of the scheme is achieved through the MUSCL-type initial reconstruction and the Runge-Kutta time-stepping method. The numerical tests include the spherical explosion, the Kelvin-Helmholtz instability, and the Orszag-Tang MHD turbulence problems. Numerical results validate the accuracy of the kinetic approach. (C) 2000 Academic Press.
关键词	magnetohydrodynamics kinetic method
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000165423300004
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15166
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, HZ
作者单位	1.Chinese Acad Sci, Inst Computat Math, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Tang, HZ,Xu, K. A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2000,165(1):69-88.
APA	Tang, HZ,&Xu, K.(2000).A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics.JOURNAL OF COMPUTATIONAL PHYSICS,165(1),69-88.
MLA	Tang, HZ,et al."A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics".JOURNAL OF COMPUTATIONAL PHYSICS 165.1(2000):69-88.