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

doi:10.1007/s10915-010-9407-9

	A Speed-Up Strategy for Finite Volume WENO Schemes for Hyperbolic Conservation Laws
	Teng, Fei 1,2; Yuan, Li1,2 ; Tang, Tao 3
	2011-03-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	46 期号:3 页码:359-378
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.
关键词	Conservation law Finite volume WENO method Speed-up strategy Multi-dimension
DOI	10.1007/s10915-010-9407-9
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000286667500002
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11468
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.