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A new weighting method for improving the WENO-Z scheme
Liu SP(刘升平); Shen YQ(申义庆); Zeng FJ; Yu M
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2018-06-30
Volume87Issue:6Pages:271-291
ISSN0271-2091
AbstractThe 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.
KeywordGlobal Smoothness Indicator Low Numerical Dissipation Weighting Function Weno-z Scheme
DOI10.1002/fld.4490
Indexed BySCI ; EI
Language英语
WOS IDWOS:000433578400001
WOS KeywordESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; SHOCK-CAPTURING SCHEMES ; HIGH-ORDER WENO ; EFFICIENT IMPLEMENTATION ; SMOOTHNESS INDICATOR ; RESOLUTION ; ACCURACY
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
Funding OrganizationNational Key R&D Program of China(2016YFA0401200) ; National Natural Science Associate Foundation(U1530145) ; Science Challenge Project(TZ2016002) ; National Natural Science Foundation of China(11272325)
Classification二类
Ranking1
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77492
Collection高温气体动力学国家重点实验室
Recommended Citation
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.
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