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A high performance fifth-order multistep WENO scheme
Ceng FJ(曾方军); Shen YQ(申义庆); Liu SP(刘升平); Liu, L
Corresponding AuthorShen, Yiqing(yqshen@imech.ac.cn)
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2019-10-10
Volume91Issue:4Pages:159-182
ISSN0271-2091
AbstractMany efforts have been made to improve the accuracy of the conventional weighted essentially nonoscillatory (WENO) scheme at transition points (connecting a smooth region and a discontinuity point). This paper analyzes these works and further develops a more effective multistep WENO scheme. Theoretical analysis and numerical results show that the new scheme not only improves the accuracy by one order higher than the traditional fifth-order WENO schemes at transition point but also maintains the fifth-order accuracy in smooth regions even at critical point where the first derivative vanishes.
Keywordcritical point high performance low-dissipation multistep WENO scheme transition point
DOI10.1002/fld.4747
Indexed BySCI ; EI
Language英语
WOS IDWOS:000483805300001
WOS KeywordESSENTIALLY NONOSCILLATORY SCHEMES ; EFFICIENT IMPLEMENTATION ; HIGH-ORDER ; NUMERICAL-SIMULATION ; HYPERBOLIC SYSTEMS ; ACCURACY ; STRATEGY ; EULER
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
Funding ProjectNSAF[U1530145] ; NKRDPC[2016YFA0401200] ; NSFC[11872067] ; NSFC[91852203] ; SCP[TZ2016002]
Funding OrganizationNSAF ; NKRDPC ; NSFC ; SCP
Classification二类
Ranking1
ContributorShen, Yiqing
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/80015
Collection高温气体动力学国家重点实验室
Recommended Citation
GB/T 7714
Ceng FJ,Shen YQ,Liu SP,et al. A high performance fifth-order multistep WENO scheme[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2019,91,4,:159-182.
APA 曾方军,申义庆,刘升平,&Liu, L.(2019).A high performance fifth-order multistep WENO scheme.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,91(4),159-182.
MLA 曾方军,et al."A high performance fifth-order multistep WENO scheme".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 91.4(2019):159-182.
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