A new weighting method for improving the WENO-Z scheme

doi:10.1002/fld.4490

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

	A new weighting method for improving the WENO-Z scheme
	Liu SP(刘升平); Shen YQ(申义庆); Zeng FJ; Yu M
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
	2018-06-30
卷号	87 期号:6 页码:271-291
关键词	Global Smoothness Indicator Low Numerical Dissipation Weighting Function Weno-z Scheme
ISSN号	0271-2091
DOI	10.1002/fld.4490
文献子类	Article
英文摘要	The calculation of the weight of each substencil is very important for a weighted essentially nonoscillatory (WENO) scheme to obtain high-order accuracy in smooth regions and keep the essentially nonoscillatory property near discontinuities. The weighting function introduced in the WENO-Z scheme provides a straightforward method to analyze the accuracy order in smooth regions. In this paper, we construct a new sixth-order global smoothness indicator (GSI-6) and a function about GSI-6 and the local smoothness indicators (ISk) to calculate the weights. The analysis and numerical results show that, with the new weights, the scheme satisfies the sufficient condition for the fifth-order convergence in smooth regions even at critical points. Meanwhile, it can also maintain low dissipation for discontinuous solutions due to relative large weights assigned to discontinuous substencils.
分类号	二类
WOS关键词	ESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; SHOCK-CAPTURING SCHEMES ; HIGH-ORDER WENO ; EFFICIENT IMPLEMENTATION ; SMOOTHNESS INDICATOR ; RESOLUTION ; ACCURACY
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
语种	英语
WOS记录号	WOS:000433578400001
资助机构	National Key R&D Program of China(2016YFA0401200) ; National Natural Science Associate Foundation(U1530145) ; Science Challenge Project(TZ2016002) ; National Natural Science Foundation of China(11272325)
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/77492]
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	Liu SP,Shen YQ,Zeng FJ,et al. A new weighting method for improving the WENO-Z scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,87(6):271-291.
APA	刘升平,申义庆,Zeng FJ,&Yu M.(2018).A new weighting method for improving the WENO-Z scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,87(6),271-291.
MLA	刘升平,et al."A new weighting method for improving the WENO-Z scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 87.6(2018):271-291.