High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws

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	High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws
	Fan P
刊名	Journal of Computational Physics
	2014-06-15
通讯作者邮箱	pfan@ipe.ac.cn
卷号	269 页码:355-385
关键词	Weighted essentially non-oscillatory WENO-Z WENO-eta WENO-Z eta Smoothness indicators High order accuracy
ISSN号	0021-9991
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] Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China; [Fan, Ping] Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
中文摘要	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.
学科主题	Computer Science; Physics
分类号	一类
收录类别	SCI
资助信息	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.
原文出处	http://dx.doi.org/10.1016/j.jcp.2014.03.033
语种	英语
WOS记录号	WOS:000335439300020
公开日期	2014-06-19
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/48866]
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. High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws[J]. Journal of Computational Physics,2014,269:355-385.
APA	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."High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws".Journal of Computational Physics 269(2014):355-385.