Multistep weighted essentially non-oscillatory scheme

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	Multistep weighted essentially non-oscillatory scheme
	Shen YQ(申义庆); Liu L; Yang Y(杨焱)
刊名	International Journal for Numerical Methods in Fluids
	2014-06-10
通讯作者邮箱	yqshen@imech.ac.cn
卷号	75 期号:4 页码:231-249
关键词	numerical method weighted essentially non-oscillatory scheme shock wave complex flowfield simulation
ISSN号	0271-2091
通讯作者	Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
产权排序	[Shen, Yiqing; Liu, Li; Yang, Yan] Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China
中文摘要	A fifth-order accurate multistep weighted essentially non-oscillatory (WENO) scheme is constructed in this paper. Different from the traditional WENO schemes, which are designed to have (2r-1)th order accuracy in the smooth regions directly from r candidate stencils, the new scheme is constructed through (r-1) weighting steps. In each step, only two neighboring stencils are used to construct the intermediate fluxes (or the final flux), which are only one order higher than the fluxes obtained from the previous step. Henrick's mapping function is used in each step to satisfy the sufficient condition of fifth-order convergence for a fifth-order WENO scheme; hence, the new scheme is fifth-order accurate in smooth regions. The distinctive advantage of the new scheme is that it can improve the accuracy by one order higher than the traditional WENO schemes at transition points (connecting a smooth region and a discontinuity point); and hence, it improves the accuracy in the regions near discontinuities. Numerical examples show that the new scheme is robust and is less dissipative than the traditional fifth-order WENO schemes. Copyright (c) 2014 John Wiley & Sons, Ltd.
学科主题	Computer Science ; Mechanics
分类号	Q3
收录类别	SCI ; EI
资助信息	This research work was supported by the National Natural Science Foundation of China under Grant 11272325.
原文出处	http://dx.doi.org/10.1002/fld.3889
语种	英语
WOS记录号	WOS:000335436400001
公开日期	2014-07-03
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/48878]
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,Liu L,Yang Y. Multistep weighted essentially non-oscillatory scheme[J]. International Journal for Numerical Methods in Fluids,2014,75(4):231-249.
APA	Shen YQ,Liu L,&Yang Y.(2014).Multistep weighted essentially non-oscillatory scheme.International Journal for Numerical Methods in Fluids,75(4),231-249.
MLA	Shen YQ,et al."Multistep weighted essentially non-oscillatory scheme".International Journal for Numerical Methods in Fluids 75.4(2014):231-249.