| A new smoothness indicator for improving the weighted essentially non-oscillatory scheme | |
Fan P; Shen YQ(申义庆) ; Tian BL; Yang C; Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.
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| Source Publication | Journal of Computational Physics
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| 2014-06-15 | |
| Volume | 269Pages:329-354 |
| ISSN | 0021-9991 |
| Abstract | 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. |
| Keyword | Weno Scheme Smoothness Indicator Hyperbolic Conservation Law Euler Equation |
| Subject Area | Computer Science ; Physics |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000335439300019 |
| Funding Organization | 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. |
| Department | LHD气动布局优化与计算方法 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48865 |
| Collection | 高温气体动力学国家重点实验室 |
| Corresponding Author | Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China. |
| Recommended Citation 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,&Fan, P .(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. |
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