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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)
2018-05-20
发表期刊INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
卷号87期号:2页码:51-69
ISSN0271-2091
摘要The 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.
关键词local smoothness indicator numerical dissipation third-order WENO scheme
DOI10.1002/fld.4480
URL查看原文
收录类别SCI ; EI
语种英语
WOS记录号WOS:000429545700001
关键词[WOS]ESSENTIALLY NONOSCILLATORY SCHEMES ; HYPERBOLIC CONSERVATION-LAWS ; EFFICIENT IMPLEMENTATION ; ACCURACY ; ORDER
WOS研究方向Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS类目Computer Science ; Mathematics ; Mechanics ; Physics
项目资助者NSAF [U1530145] ; NKRDPC [2016YFA0401200] ; SCP [TZ2016002] ; NSFC [11272325]
论文分区二类
力学所作者排名1
引用统计
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/77822
专题高温气体动力学国家重点实验室
作者单位1.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
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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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