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) | |
发表期刊 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS |
2018-05-20 | |
卷号 | 87期号:2页码:51-69 |
ISSN | 0271-2091 |
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 |
DOI | 10.1002/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 |
推荐引用方式 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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