| High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws | |
| Fan P; Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China. | |
| Source Publication | Journal of Computational Physics
 |
| 2014-06-15 | |
| Volume | 269Pages:355-385 |
| ISSN | 0021-9991 |
| Abstract | In [8], the authors have designed a new fifth-order WENO finite-difference scheme (named WENO-eta) by introducing a new local smoothness indicator which is defined based on the Lagrangian interpolation polynomials and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. With this new local smoothness indicator, higher order global smoothness indicators were able to be devised and the corresponding scheme (named WENO-Z eta) displayed less numerical dissipations than the classic fifth-order WENO schemes, including WENO-JS [12] and WENO-Z [5,6]. In this paper, a close look is taken at Taylor expansions of the Lagrangian interpolation polynomials of the WENO sub-stencils and the related inherited symmetries of the local smoothness indicators, which allows the extension of the WENO-eta scheme to higher orders of accuracy. Furthermore, general formulae for the global smoothness indicators are derived with which the WENO-Z eta schemes can be extended to all odd-orders of accuracy. Numerical experiments are conducted to demonstrate the performance of the proposed schemes. (C) 2014 Elsevier Inc. All rights reserved. |
| Keyword | Weighted Essentially Non-oscillatory Weno-z Weno-eta Weno-z Eta Smoothness Indicators High Order Accuracy |
| Subject Area | Computer Science ; Physics |
| URL | 查看原文 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000335439300020 |
| Funding Organization | This work is supported by NSFC (11172299). The helpful comments from the anonymous reviewers and the programs kindly provided by Prof. Y. Shen are also appreciated. |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/48866 |
| 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,Fan, P . High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws[J]. Journal of Computational Physics,2014,269:355-385. |
| APA | Fan P,&Fan, P .(2014).High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws.Journal of Computational Physics,269,355-385. |
| MLA | Fan P,et al."High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws".Journal of Computational Physics 269(2014):355-385. |
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