High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws
文献类型：期刊论文
| 作者 | Li, Shiyao2,3 ; Shen, Yiqing2,3; Zhang, Ke2,3; Yu, Ming1; Shen YQ(申义庆)
|
| 刊名 | COMPUTERS & FLUIDS
 |
| 出版日期 | 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. |
| WOS关键词 | EFFICIENT IMPLEMENTATION ; FLOW |
| 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 |
| 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 |
| 通讯作者 | Shen, Yiqing |
| 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, Shiyao,Shen, Yiqing,Zhang, Ke,et al. High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws[J]. COMPUTERS & FLUIDS,2022,244:13. |
| APA | Li, Shiyao,Shen, Yiqing,Zhang, Ke,Yu, Ming,&申义庆.(2022).High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws.COMPUTERS & FLUIDS,244,13. |
| MLA | Li, Shiyao,et al."High order weighted essentially non-oscillatory WENO-ZN schemes for hyperbolic conservation laws".COMPUTERS & FLUIDS 244(2022):13. |
入库方式： OAI收割
来源：力学研究所
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