A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws

doi:10.1007/s10915-010-9407-9

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws
	Teng, Fei 1,2; Yuan, Li1,2 ; Tang, Tao 3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2011-03-01
卷号	46 期号:3 页码:359-378
关键词	Conservation law Finite volume WENO method Speed-up strategy Multi-dimension
ISSN号	0885-7474
DOI	10.1007/s10915-010-9407-9
英文摘要	In this paper, a speed-up strategy for finite volume WENO schemes is developed for solving hyperbolic conservation laws. It adopts p-adaptive like reconstruction, which automatically adjusts from fifth order WENO reconstruction to first order constant reconstruction when nearly constant solutions are detected by the undivided differences. The corresponding order of accuracy for the solutions is shown to be the same as obtained by original WENO schemes. The strategy is implemented with both WENO and mapped WENO schemes. Numerical examples in different space dimensions show that the strategy can reduce the computational cost by 20-40%, especially for problems with large fraction of constant regions.
资助项目	Natural Science Foundation of China[10531080] ; Natural Science Foundation of China[10729101] ; Natural Science Foundation of China[10972230] ; state key program for developing basic sciences[2005CB321703] ; state key program for developing basic sciences[2010CB731505]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000286667500002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11467]
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Teng, Fei,Yuan, Li,Tang, Tao. A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws[J]. JOURNAL OF SCIENTIFIC COMPUTING,2011,46(3):359-378.
APA	Teng, Fei,Yuan, Li,&Tang, Tao.(2011).A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws.JOURNAL OF SCIENTIFIC COMPUTING,46(3),359-378.
MLA	Teng, Fei,et al."A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws".JOURNAL OF SCIENTIFIC COMPUTING 46.3(2011):359-378.