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

doi:10.1016/j.compfluid.2022.105547

	High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws
	Li SY(李诗尧)1,2; Shen YQ(申义庆)1,2 ; Zhang K(张珂)1,2; Yu, Ming 3
通讯作者	Shen, Yiqing(yqshen@imech.ac.cn)
发表期刊	COMPUTERS & FLUIDS
	2022-08-15
卷号	244 页码:13
ISSN	0045-7930
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.
关键词	High-order WENO scheme Adaptive function Critical point
DOI	10.1016/j.compfluid.2022.105547
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000827528000005
关键词[WOS]	EFFICIENT IMPLEMENTATION ; 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[11872067] ; National Natural Science Foundation of China[91852203] ; National Natural Science Foundation of China[11902326] ; National Natural Science Foundation of China[12172364]
项目资助者	National Natural Science Foundation of China
论文分区	二类
力学所作者排名	1
RpAuthor	Shen, Yiqing
引用统计	被引频次：1[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/311007/89850
专题	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.Peking Univ, Ctr Appl Phys & Technol, Beijing 100871, 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.

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