A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes
文献类型：期刊论文
| 作者 | Kang J(康健)1,2; Li XL(李新亮)1,2 ; Li XL(李新亮)
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| 刊名 | COMMUNICATIONS IN COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2021-02-01 |
| 卷号 | 29期号:2页码:534-570 |
| 关键词 | Finite difference WENO sufficient and necessary condition proof |
| ISSN号 | 1815-2406 |
| DOI | 10.4208/cicp.OA-2019-0112 |
| 通讯作者 | Li, Xinliang(lixl@imech.ac.cn) |
| 英文摘要 | In the finite difference WENO (weighted essentially non-oscillatory) method, the final scheme on the whole stencil was constructed by linear combinations of highest order accurate schemes on sub-stencils, all of which share the same total count of grid points. The linear combination method which the original WENO applied was generalized to arbitrary positive-integer-order derivative on an arbitrary (uniform or non-uniform) mesh, still applying finite difference method. The possibility of expressing the final scheme on the whole stencil as a linear combination of highest order accurate schemes on WENO-like sub-stencils was investigated. The main results include: (a) the highest order of accuracy a finite difference scheme can achieve and (b) a sufficient and necessary condition that the linear combination exists. This is a sufficient and necessary condition for all finite difference schemes in a set (rather than a specific finite difference scheme) to have WENO-like linear combinations. After the proofs of the results, some remarks on the WENO schemes and TENO (targeted essentially non-oscillatory) schemes were given. |
| 分类号 | 一类 |
| WOS关键词 | TARGETED ENO SCHEMES ; ORDER ; SOLVER |
| 资助项目 | National Numerical Wind Tunnel project ; National Key Research and Development Program of China[2016YFA0401200] ; National Key Research and Development Program of China[2019YFA0405300] ; NSFC[91852203] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000596085300008 |
| 资助机构 | National Numerical Wind Tunnel project ; National Key Research and Development Program of China ; NSFC |
| 其他责任者 | Li, Xinliang |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/85879]  |
| 专题 | 力学研究所_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; |
| 推荐引用方式 GB/T 7714 | Kang J,Li XL,Li XL. A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2021,29(2):534-570. |
| APA | 康健,李新亮,&Li XL.(2021).A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,29(2),534-570. |
| MLA | 康健,et al."A Sufficient and Necessary Condition of the Existence of WENO-Like Linear Combination for Finite Difference Schemes".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 29.2(2021):534-570. |
入库方式： OAI收割
来源：力学研究所
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