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Novel local smoothness indicators for improving the third-order WENO scheme
Liu SP(刘升平); Shen YQ(申义庆); Chen B(陈北); Ceng FJ(曾方军)
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2018-05-20
Volume87Issue:2Pages:51-69
ISSN0271-2091
AbstractThe local smoothness indicators play an important role in the performance of a weighted essentially nonoscillatory (WENO) scheme. Due to having only 2 points available on each substencil, the local smoothness indicators calculated by conventional methods make the third-order WENO scheme too dissipative. In this paper, we propose a different method to calculate the indicators by using all the 3 points on the global stencil of the third-order WENO scheme. The numerical results demonstrate that the WENO scheme with the new indicators has less dissipation and better resolution than the conventional third-order WENO scheme of Jiang and Shu for both smooth and discontinuous solutions.
Keywordlocal smoothness indicator numerical dissipation third-order WENO scheme
DOI10.1002/fld.4480
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000429545700001
WOS KeywordESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; EFFICIENT IMPLEMENTATION ; ACCURACY ; ORDER
WOS Research AreaComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS SubjectComputer Science ; Mathematics ; Mechanics ; Physics
Funding OrganizationNSAF [U1530145] ; NKRDPC [2016YFA0401200] ; SCP [TZ2016002] ; NSFC [11272325]
Classification二类
Ranking1
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Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77822
Collection高温气体动力学国家重点实验室
Affiliation1.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Liu SP,Shen YQ,Chen B,et al. Novel local smoothness indicators for improving the third-order WENO scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2018,87(2):51-69.
APA 刘升平,申义庆,陈北,&曾方军.(2018).Novel local smoothness indicators for improving the third-order WENO scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,87(2),51-69.
MLA 刘升平,et al."Novel local smoothness indicators for improving the third-order WENO scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 87.2(2018):51-69.
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