An improved weighted essentially non-oscillatory scheme with modified smoothness indicator tau and adaptive index p

doi:10.1080/10618562.2020.1754403

CORC > 力学研究所 > 中国科学院力学研究所 > 高温气体动力学国家重点实验室

	An improved weighted essentially non-oscillatory scheme with modified smoothness indicator tau and adaptive index p
	Li X(李欣)1,2; Yu ZP(于长平)2; Li L 3; Li XL(李新亮)1,2
刊名	INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
	2020-04-23
页码	15
关键词	WENO scheme high resolution shock-capturing smoothness indicator adaptive optimisation
ISSN号	1061-8562
DOI	10.1080/10618562.2020.1754403
通讯作者	Li, Xin-Liang(lixl@imech.ac.cn)
英文摘要	The resolution and robustness properties of a numerical scheme are two mutually restricted aspects for the detailed simulation of complex flows. In the present paper, an improved seventh-order finite difference weighted essentially non-oscillatory scheme (WENO-PR) is developed by distributing larger weights to the less smooth stencils. To meet the optimization requirements, the high-order smoothness indicator tau is modified by some constraints and a real-number index factor p is designed under the control of a wavenumber identifier. The results show that the modifications in the proposed scheme improve self-adaptation features in the smooth and discontinuous regions, which greatly balance the numerical resolution and robustness. Compared with the existing schemes such as WENO-Z and WENO-JS, the WENO-PR is more flexible, accurate and robust. Several one- and two-dimensional numerical tests are performed to confirm the high-resolution capability and the non-oscillatory property of the proposed scheme.
分类号	Q3
资助项目	National Key Research and Development Program of China[2019YFA0405300] ; National Key Research and Development Program of China[2016YFA0401200] ; NSFC[91852203] ; Science Challenge Project[TZ2016001] ; Strategic PriorityResearch Program of Chinese Academy of Sciences[XDC01000000]
WOS关键词	TARGETED ENO SCHEMES ; DIRECT NUMERICAL-SIMULATION ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; WENO SCHEMES ; BOUNDARY-LAYER ; RESOLUTION ; ACCURACY ; FAMILY
WOS研究方向	Mechanics ; Physics
语种	英语
WOS记录号	WOS:000531930100001
资助机构	National Key Research and Development Program of China ; NSFC ; Science Challenge Project ; Strategic PriorityResearch Program of Chinese Academy of Sciences
其他责任者	Li, Xin-Liang
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/82030]
专题	力学研究所_高温气体动力学国家重点实验室
作者单位	1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China; 2.Chinese Acad Sci, Inst Mech, LHD, Beijing, Peoples R China; 3.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li X,Yu ZP,Li L,et al. An improved weighted essentially non-oscillatory scheme with modified smoothness indicator tau and adaptive index p[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS,2020:15.
APA	李欣,于长平,Li L,&李新亮.(2020).An improved weighted essentially non-oscillatory scheme with modified smoothness indicator tau and adaptive index p.INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS,15.
MLA	李欣,et al."An improved weighted essentially non-oscillatory scheme with modified smoothness indicator tau and adaptive index p".INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS (2020):15.