Improvement of weighted essentially non-oscillatory schemes near discontinuities

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	Improvement of weighted essentially non-oscillatory schemes near discontinuities
	Shen YQ(申义庆); Zha GC
刊名	Computers & Fluids
	2014-06-13
通讯作者邮箱	yqshen@imech.ac.cn; gzha@miami.edu
卷号	96 页码:1-9
关键词	Shock capturing WENO scheme High order scheme
ISSN号	0045-7930
通讯作者	Zha, GC (reprint author), Univ Miami, Miami Wind, Dept Mech & Aerosp Engn, Coral Gables, FL 33124 USA.
产权排序	[Shen, Yiqing] Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China; [Zha, Gecheng] Univ Miami, Miami Wind, Dept Mech & Aerosp Engn, Coral Gables, FL 33124 USA
中文摘要	In this article, we analyze the fifth-order weighted essentially non-oscillatory (WENO-5) scheme and show that, at a transition point from smooth region to a discontinuity point or vice versa, the accuracy order of WENO-5 is decreased to third order. A new method is proposed to overcome this drawback by introducing fourth-order fluxes combined with high order smoothness indicator. Numerical examples show that the new method is more accurate near discontinuities with accuracy improved to fourth order. (C) 2014 Elsevier Ltd. All rights reserved.
学科主题	Computer Science; Physics
分类号	二类/Q2
收录类别	SCI ; EI
资助信息	This work is partially supported by AFOSR Grant FA9550-06-1-0198 monitored by Dr. Fariba Fahroo, by ARO Grant 56827-RT-ISP monitored by John Schmisseur at AFOSR and Peggy A. Lacewell at ARO, and by Miami Wind (TM) at University of Miami.
原文出处	http://dx.doi.org/10.1016/j.compfluid.2014.02.010
语种	英语
WOS记录号	WOS:000336775700001
公开日期	2014-07-03
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/48877]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	Shen YQ,Zha GC. Improvement of weighted essentially non-oscillatory schemes near discontinuities[J]. Computers & Fluids,2014,96:1-9.
APA	Shen YQ,&Zha GC.(2014).Improvement of weighted essentially non-oscillatory schemes near discontinuities.Computers & Fluids,96,1-9.
MLA	Shen YQ,et al."Improvement of weighted essentially non-oscillatory schemes near discontinuities".Computers & Fluids 96(2014):1-9.