| Multistep weighted essentially non-oscillatory scheme | |
Shen YQ(申义庆) ; Liu L; Yang Y(杨焱); Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
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| Source Publication | International Journal for Numerical Methods in Fluids
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| 2014-06-10 | |
| Volume | 75Issue:4Pages:231-249 |
| ISSN | 0271-2091 |
| Abstract | A fifth-order accurate multistep weighted essentially non-oscillatory (WENO) scheme is constructed in this paper. Different from the traditional WENO schemes, which are designed to have (2r-1)th order accuracy in the smooth regions directly from r candidate stencils, the new scheme is constructed through (r-1) weighting steps. In each step, only two neighboring stencils are used to construct the intermediate fluxes (or the final flux), which are only one order higher than the fluxes obtained from the previous step. Henrick's mapping function is used in each step to satisfy the sufficient condition of fifth-order convergence for a fifth-order WENO scheme; hence, the new scheme is fifth-order accurate in smooth regions. The distinctive advantage of the new scheme is that it can improve the accuracy by one order higher than the traditional WENO schemes at transition points (connecting a smooth region and a discontinuity point); and hence, it improves the accuracy in the regions near discontinuities. Numerical examples show that the new scheme is robust and is less dissipative than the traditional fifth-order WENO schemes. Copyright (c) 2014 John Wiley & Sons, Ltd. |
| Keyword | Numerical Method Weighted Essentially Non-oscillatory Scheme Shock Wave Complex Flowfield Simulation |
| Subject Area | Computer Science ; Mechanics |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000335436400001 |
| Funding Organization | This research work was supported by the National Natural Science Foundation of China under Grant 11272325. |
| Department | LHD气动布局优化与计算方法 |
| Classification | Q3 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48878 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China. |
| Recommended Citation GB/T 7714 | Shen YQ,Liu L,Yang Y,et al. Multistep weighted essentially non-oscillatory scheme[J]. International Journal for Numerical Methods in Fluids,2014,75,4,:231-249. |
| APA | Shen YQ,Liu L,Yang Y,&Shen, YQ .(2014).Multistep weighted essentially non-oscillatory scheme.International Journal for Numerical Methods in Fluids,75(4),231-249. |
| MLA | Shen YQ,et al."Multistep weighted essentially non-oscillatory scheme".International Journal for Numerical Methods in Fluids 75.4(2014):231-249. |
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| IMCAS-J2014-151.pdf（1752KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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