| 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, Ming3
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| Corresponding Author | Shen, Yiqing([email protected]) |
| Source Publication | COMPUTERS & FLUIDS
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| 2022-08-15 | |
| Volume | 244Pages:13 |
| ISSN | 0045-7930 |
| Abstract | 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. |
| Keyword | High-order WENO scheme Adaptive function Critical point |
| DOI | 10.1016/j.compfluid.2022.105547 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000827528000005 |
| WOS Keyword | EFFICIENT IMPLEMENTATION ; FLOW |
| WOS Research Area | Computer Science ; Mechanics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Mechanics |
| Funding Project | 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] |
| Funding Organization | National Natural Science Foundation of China |
| Classification | 二类 |
| Ranking | 1 |
| Contributor | Shen, Yiqing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/89850 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 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 |
| Recommended Citation 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.Rp_Au:Shen, Yiqing |
| 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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| Jp2022FA212_2022_Hig（1916KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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