A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
文献类型：期刊论文
| 作者 | Fan P ; Shen YQ(申义庆); Tian BL; Yang C
|
| 刊名 | Journal of Computational Physics
 |
| 出版日期 | 2014-06-15 |
| 卷号 | 269页码:329-354 |
| 通讯作者邮箱 | fanping@imech.ac.cn; yqshen@imech.ac.cn; Tian_Baolin@iapcm.ac.cn; chaoyang@ipe.ac.cn |
| ISSN号 | 0021-9991 |
| 关键词 | WENO scheme Smoothness indicator Hyperbolic conservation law Euler equation |
| 通讯作者 | Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China. |
| 产权排序 | [Fan, Ping; Yang, Chao] Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China; [Shen, Yiqing] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China; [Tian, Baolin] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China |
| 中文摘要 | In this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved. |
| 学科主题 | Computer Science; Physics |
| 分类号 | 一类 |
| 资助信息 | This work is supported by the NSFC (11172299), 973 Program (2012CB224806), CAS Program for Cross & Cooperative Team of the Science & Technology Innovation, and the National Natural Science Foundation of China (21376243) The helpful comments from the anonymous reviewers are also appreciated. |
| 收录类别 | SCI |
| 原文出处 | http://dx.doi.org/10.1016/j.jcp.2014.03.032 |
| 语种 | 英语 |
| WOS记录号 | WOS:000335439300019 |
| 公开日期 | 2014-06-19 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/48865]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Fan P,Shen YQ,Tian BL,et al. A new smoothness indicator for improving the weighted essentially non-oscillatory scheme[J]. Journal of Computational Physics,2014,269:329-354. |
| APA | Fan P,申义庆,Tian BL,&Yang C.(2014).A new smoothness indicator for improving the weighted essentially non-oscillatory scheme.Journal of Computational Physics,269,329-354. |
| MLA | Fan P,et al."A new smoothness indicator for improving the weighted essentially non-oscillatory scheme".Journal of Computational Physics 269(2014):329-354. |
入库方式： OAI收割
来源：力学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。