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, Ping 1,2
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2014-07-15
卷号	269 期号:1 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
其他题名	J. Comput. Phys.
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.
英文摘要	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.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
类目[WOS]	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
研究领域[WOS]	Computer Science ; Physics
关键词[WOS]	EFFICIENT IMPLEMENTATION ; MESHES
收录类别	SCI
原文出处	://WOS:000335439300020
语种	英语
WOS记录号	WOS:000335439300020
公开日期	2014-08-28
内容类型	期刊论文
版本	出版稿
源URL	[http://ir.ipe.ac.cn/handle/122111/10899]
专题	过程工程研究所_研究所（批量导入）
作者单位	1.Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fan, Ping. High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2014,269(1):355-385.
APA	Fan, Ping.(2014).High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws.JOURNAL OF COMPUTATIONAL PHYSICS,269(1),355-385.
MLA	Fan, Ping."High order weighted essentially nonoscillatory WENO-eta schemes for hyperbolic conservation laws".JOURNAL OF COMPUTATIONAL PHYSICS 269.1(2014):355-385.