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

	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.
发表期刊	Journal of Computational Physics
	2014-06-15
卷号	269 页码:355-385
ISSN	0021-9991
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.
关键词	Weighted Essentially Non-oscillatory Weno-z Weno-eta Weno-z Eta Smoothness Indicators High Order Accuracy
学科领域	Computer Science ; Physics
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000335439300020
项目资助者	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.
论文分区	一类
引用统计	被引频次：26[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/48866
专题	高温气体动力学国家重点实验室
通讯作者	Fan, P (reprint author), Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China.
推荐引用方式 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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