High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws

doi:10.1016/j.compfluid.2022.105547

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

	High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws
	Li SY(李诗尧)2,3; Shen YQ(申义庆)2,3; Zhang K(张珂)2,3; Yu, Ming 1
刊名	COMPUTERS & FLUIDS
	2022-08-15
卷号	244 页码:13
关键词	High-order WENO scheme Adaptive function Critical point
ISSN号	0045-7930
DOI	10.1016/j.compfluid.2022.105547
通讯作者	Shen, Yiqing(yqshen@imech.ac.cn)
英文摘要	In Shen et al. (2020), the authors have proposed a novel weighting method to construct the fifth-order WENO-ZN scheme to improve the accuracy at the second-order critical point. Its basic idea is that, the square of the fourth-order undivided difference on the global five-point stencil used by the fifth-order WENO scheme is suggested as the global smoothness indicator. To keep the ENO property and enhance robustness for resolving shock waves, the constant 1 used to calculate the un-normalized weights in the original WENO-Z schemes is replaced by an adaptive function, which can approach a small value if the global stencil contains a discontinuity or approach a large value if the solution is smooth enough. The fifth-order WENO-ZN scheme can obtain fifth order accuracy at both the first-and second-order critical points. However, limited by the smoothness indicators, the scheme cannot improve the convergence rate at the third-order and above critical points. In this paper, we extend the idea of the fifth-order WENO-ZN scheme to construct higher-order WENO-ZN schemes and investigate their performance. Numerical experiments show that the (2r-1)th-order (r & GE; 3) WENO-ZN schemes are robust for capturing shock waves and can improve the accuracy order in smooth regions including the maximum (2r - 4)th-order critical points.
分类号	二类
资助项目	National Natural Science Foundation of China[11872067] ; National Natural Science Foundation of China[91852203] ; National Natural Science Foundation of China[11902326] ; National Natural Science Foundation of China[12172364]
WOS关键词	EFFICIENT IMPLEMENTATION ; FLOW
WOS研究方向	Computer Science ; Mechanics
语种	英语
WOS记录号	WOS:000827528000005
资助机构	National Natural Science Foundation of China
其他责任者	Shen, Yiqing
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/89849]
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.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China; 3.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China;
推荐引用方式 GB/T 7714	Li SY,Shen YQ,Zhang K,et al. High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws[J]. COMPUTERS & FLUIDS,2022,244:13.
APA	李诗尧,申义庆,张珂,&Yu, Ming.(2022).High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws.COMPUTERS & FLUIDS,244,13.
MLA	李诗尧,et al."High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws".COMPUTERS & FLUIDS 244(2022):13.