Two-step weighting method for constructing fourth-order hybrid central WENO scheme

doi:10.1016/j.compfluid.2020.104590

	Two-step weighting method for constructing fourth-order hybrid central WENO scheme
	Liu SP(刘升平)1; Shen YQ(申义庆)2,3 ; Peng J(彭俊)2,3; Zhang J(张俊)1
通讯作者	Zhang, Jun(jun.zhang@buaa.edu.cn)
发表期刊	COMPUTERS & FLUIDS
	2020-07-15
卷号	207 页码:15
ISSN	0045-7930
摘要	The hybridization of the fourth-order central scheme and a third-order WENO (weighted essentially nonoscillatory) scheme aims to obtain fourth-order accuracy in smooth regions and keep ENO property near shock waves. However, according to our numerical tests, such existing hybrid schemes may generate spurious waves near shocks. To overcome this problem, in this paper, a new two-step method is proposed for constructing a fourth-order hybrid central WENO scheme. The first step is using the traditional weighting method to get the third-order WENO scheme. The second step is to get a hybrid scheme by weighting the third-order upwind scheme and the fourth-order central scheme. Then, the final hybrid WENO scheme is obtained by combining the two weighted schemes through a discontinuity-detecting method for a four-point stencil. Various one- and two-dimensional numerical tests are presented to show that the new scheme can avoid the generation of spurious waves near shock waves, keep the ENO property, and get almost fourth-order accuracy in smooth regions including critical points. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Hybrid central WENO scheme Discontinuity-detecting method Two-step weighting method
DOI	10.1016/j.compfluid.2020.104590
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000561211000005
关键词[WOS]	ESSENTIALLY NONOSCILLATORY SCHEME ; LATTICE BOLTZMANN METHOD ; HIGH-ORDER WENO ; SMOOTHNESS INDICATOR ; EFFICIENT IMPLEMENTATION ; DISCONTINUOUS GALERKIN ; NUMERICAL-SIMULATION ; RESOLUTION ; EULER ; FLOW
WOS研究方向	Computer Science ; Mechanics
WOS类目	Computer Science, Interdisciplinary Applications ; Mechanics
资助项目	National Natural Science Foundation of China under grant NSFC[11872067] ; National Natural Science Foundation of China under grant NSFC[91852203] ; National Natural Science Foundation of China under grant NKRDPC[2016YFA0401200] ; National Natural Science Foundation of China under grant SCP[TZ2016002]
项目资助者	National Natural Science Foundation of China under grant NSFC ; National Natural Science Foundation of China under grant NKRDPC ; National Natural Science Foundation of China under grant SCP
论文分区	二类
力学所作者排名	2
RpAuthor	Zhang, Jun
引用统计	被引频次：5[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/311007/84990
专题	高温气体动力学国家重点实验室
作者单位	1.Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu SP,Shen YQ,Peng J,et al. Two-step weighting method for constructing fourth-order hybrid central WENO scheme[J]. COMPUTERS & FLUIDS,2020,207:15.
APA	刘升平,申义庆,彭俊,&张俊.(2020).Two-step weighting method for constructing fourth-order hybrid central WENO scheme.COMPUTERS & FLUIDS,207,15.
MLA	刘升平,et al."Two-step weighting method for constructing fourth-order hybrid central WENO scheme".COMPUTERS & FLUIDS 207(2020):15.

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