A new 6th-order WENO scheme with modified stencils

doi:10.1016/j.compfluid.2020.104625

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	A new 6th-order WENO scheme with modified stencils
	Wang, Yahui 1,2,3; Du, Yulong 4; Zhao, Kunlei 1,2,3; Yuan, Li 1,2,3
	2020-08-15
发表期刊	COMPUTERS & FLUIDS
ISSN	0045-7930
卷号	208 页码:16
摘要	In this article, a new 6th order weighted essentially non-oscillatory (WENO) scheme is developed. As with previous 6th-order central-upwind WENO schemes, the present scheme is a convex combination of four candidate linear reconstructions. The difference is that the most upwind and downwind stencils use four cell values, while the inner two stencils nominally use three cell values but the original quadratic reconstructions are modified to be 4th-order approximations by adding cubic correction terms involving the five cell values of the classical 5th-order WENO scheme. Sixth-order accuracy of the new scheme in smooth regions including critical points is achieved by using a reference smoothness indicator. Several numerical examples show that the new scheme has higher resolution compared with the recently developed 6th-order WENO schemes. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	WENO scheme Sixth-order accuracy Modified stencil Hyperbolic conservation law
DOI	10.1016/j.compfluid.2020.104625
收录类别	SCI
语种	英语
资助项目	Natural Science Foundation of China[91641107] ; Natural Science Foundation of China[91852116] ; Fundamental Research of Civil Aircraft[MJF-2012-04]
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000563869900012
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52097
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 4.Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yahui,Du, Yulong,Zhao, Kunlei,et al. A new 6th-order WENO scheme with modified stencils[J]. COMPUTERS & FLUIDS,2020,208:16.
APA	Wang, Yahui,Du, Yulong,Zhao, Kunlei,&Yuan, Li.(2020).A new 6th-order WENO scheme with modified stencils.COMPUTERS & FLUIDS,208,16.
MLA	Wang, Yahui,et al."A new 6th-order WENO scheme with modified stencils".COMPUTERS & FLUIDS 208(2020):16.