| Novel local smoothness indicators for improving the third-order WENO scheme | |
Liu SP(刘升平); Shen YQ(申义庆) ; Chen B(陈北); Ceng FJ(曾方军)
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| Source Publication | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
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| 2018-05-20 | |
| Volume | 87Issue:2Pages:51-69 |
| ISSN | 0271-2091 |
| Abstract | The local smoothness indicators play an important role in the performance of a weighted essentially nonoscillatory (WENO) scheme. Due to having only 2 points available on each substencil, the local smoothness indicators calculated by conventional methods make the third-order WENO scheme too dissipative. In this paper, we propose a different method to calculate the indicators by using all the 3 points on the global stencil of the third-order WENO scheme. The numerical results demonstrate that the WENO scheme with the new indicators has less dissipation and better resolution than the conventional third-order WENO scheme of Jiang and Shu for both smooth and discontinuous solutions. |
| Keyword | local smoothness indicator numerical dissipation third-order WENO scheme |
| DOI | 10.1002/fld.4480 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000429545700001 |
| WOS Keyword | ESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; EFFICIENT IMPLEMENTATION ; ACCURACY ; ORDER |
| WOS Research Area | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
| WOS Subject | Computer Science ; Mathematics ; Mechanics ; Physics |
| Funding Organization | NSAF [U1530145] ; NKRDPC [2016YFA0401200] ; SCP [TZ2016002] ; NSFC [11272325] |
| Classification | 二类 |
| Ranking | 1 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/77822 |
| 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, Peoples R China |
| Recommended Citation GB/T 7714 | Liu SP,Shen YQ,Chen B,et al. Novel local smoothness indicators for improving the third-order WENO scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,87,2,:51-69. |
| APA | 刘升平,申义庆,陈北,&曾方军.(2018).Novel local smoothness indicators for improving the third-order WENO scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,87(2),51-69. |
| MLA | 刘升平,et al."Novel local smoothness indicators for improving the third-order WENO scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 87.2(2018):51-69. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| IrJ2018207.pdf（632KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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