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

doi:10.1016/j.compfluid.2020.104590

CORC > 力学研究所 > 中国科学院力学研究所 > 高温气体动力学国家重点实验室

	Two-step weighting method for constructing fourth-order hybrid central WENO scheme
	Liu SP(刘升平)3; Shen YQ(申义庆)1,2; Peng J(彭俊)1,2; Zhang J(张俊)3
刊名	COMPUTERS & FLUIDS
	2020-07-15
卷号	207 页码:15
关键词	Hybrid central WENO scheme Discontinuity-detecting method Two-step weighting method
ISSN号	0045-7930
DOI	10.1016/j.compfluid.2020.104590
通讯作者	Zhang, Jun(jun.zhang@buaa.edu.cn)
英文摘要	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.
分类号	二类
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]
WOS关键词	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
语种	英语
WOS记录号	WOS:000561211000005
资助机构	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
其他责任者	Zhang, Jun
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/84989]
专题	力学研究所_高温气体动力学国家重点实验室
作者单位	1.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China; 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Beihang Univ, Sch Aeronaut Sci & Engn, Beijing 100191, 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.