Multistep weighted essentially non-oscillatory scheme

	Multistep weighted essentially non-oscillatory scheme
	Shen YQ(申义庆); Liu L; Yang Y(杨焱); Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
发表期刊	International Journal for Numerical Methods in Fluids
	2014-06-10
卷号	75 期号:4 页码:231-249
ISSN	0271-2091
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.
关键词	Numerical Method Weighted Essentially Non-oscillatory Scheme Shock Wave Complex Flowfield Simulation
学科领域	Computer Science ; Mechanics
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000335436400001
项目资助者	This research work was supported by the National Natural Science Foundation of China under Grant 11272325.
课题组名称	LHD气动布局优化与计算方法
论文分区	Q3
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/48878
专题	高温气体动力学国家重点实验室
通讯作者	Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Shen YQ,Liu L,Yang Y,et al. 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,&Shen, YQ .(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.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
IMCAS-J2014-151.pdf（1752KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	浏览下载