Moving mesh methods with locally varying time steps

doi:10.1016/j.jcp.2004.04.007

CSpace

	Moving mesh methods with locally varying time steps
	Tan, ZJ ; Zhang, ZR ; Huang, YQ ; Tang, T
	2004-10-10
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	200 期号:1 页码:347-367
摘要	The time steps associated with moving mesh methods are proportional to the smallest mesh size in space and as a result they are very small at each time level. For some practical problems, the physical phenomena develop dynamically singular or nearly singular solutions in fairly localized regions, and therefore the smallest time step at each time level occurs only in these localized regions. In this work, we will develop a local time stepping algorithm for the moving mesh methods. The principal idea will be demonstrated by investigating the nonlinear hyperbolic conservation laws. Numerical experiments are carried out to demonstrate the efficiency and robustness of the proposed methods. (C) 2004 Elsevier Inc. All rights reserved.
关键词	moving mesh method local time stepping finite volume method hyperbolic conservation laws
DOI	10.1016/j.jcp.2004.04.007
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:000224284500017
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19397
专题	中国科学院数学与系统科学研究院
通讯作者	Tang, T
作者单位	1.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China 2.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China 3.Xiangtan Univ, Inst Computat & Appl Math, Xiangtan 411105, Peoples R China 4.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tan, ZJ,Zhang, ZR,Huang, YQ,et al. Moving mesh methods with locally varying time steps[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2004,200(1):347-367.
APA	Tan, ZJ,Zhang, ZR,Huang, YQ,&Tang, T.(2004).Moving mesh methods with locally varying time steps.JOURNAL OF COMPUTATIONAL PHYSICS,200(1),347-367.
MLA	Tan, ZJ,et al."Moving mesh methods with locally varying time steps".JOURNAL OF COMPUTATIONAL PHYSICS 200.1(2004):347-367.