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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 PublicationJournal of Computational Physics
2014-06-15
Volume269Pages:355-385
ISSN0021-9991
AbstractIn [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.
KeywordWeighted Essentially Non-oscillatory Weno-z Weno-eta Weno-z Eta Smoothness Indicators High Order Accuracy
Subject AreaComputer Science ; Physics
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Indexed BySCI
Language英语
WOS IDWOS:000335439300020
Funding OrganizationThis 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.
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48866
Collection高温气体动力学国家重点实验室
Corresponding AuthorFan, 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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