A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator

doi:10.1002/fld.4824

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	A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator
	Wang, Yahui 1,2,3; Du, Yulong 4; Zhao, Kunlei 1,2,3; Yuan, Li 1,2,3
	2020-09-01
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN	0271-2091
卷号	92 期号:9 页码:1212-1234
摘要	The classical third-order weighted essentially nonoscillatory (WENO) scheme is notoriously dissipative as it loses the optimal order of accuracy at critical points and its two-point finite difference in the smoothness indicators is unable to differentiate the critical point from the discontinuity. In recent years, modifications to the smoothness indicators and weights of the classical third-order WENO scheme have been reported to reduce numerical dissipation. This article presents a new reference smoothness indicator for constructing a low-dissipation third-order WENO scheme. The new reference smoothness indicator is a nonlinear combination of the local and global stencil smoothness indicators. The resulting WENO-Rp3 scheme with the power parameterp=1.5 achieves third-order accuracy in smooth regions including critical points and has low dissipation, but numerical results show this scheme cannot keep the ENO property near discontinuities. The recommended WENO-R3 scheme (p=1) keeps the ENO property and performs better than several recently developed third-order WENO schemes.
关键词	Euler equation hyperbolic conservation law nonlinear weight reference smoothness indicator third-order accuracy WENO
DOI	10.1002/fld.4824
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000555806600009
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51938
专题	中国科学院数学与系统科学研究院
通讯作者	Yuan, Li
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 4.Beihang Univ, Sch Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yahui,Du, Yulong,Zhao, Kunlei,et al. A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2020,92(9):1212-1234.
APA	Wang, Yahui,Du, Yulong,Zhao, Kunlei,&Yuan, Li.(2020).A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,92(9),1212-1234.
MLA	Wang, Yahui,et al."A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 92.9(2020):1212-1234.