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A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
Alternative TitleJ. Comput. Phys.
Fan, Ping1; Shen, Yiqing2; Tian, Baolin3; Yang, Chao1
2014-07-15
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
ISSN0021-9991
Volume269Issue:1Pages:329-354
AbstractIn this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved.; In this work, a new smoothness indicator that measures the local smoothness of a function in a stencil is introduced. The new local smoothness indicator is defined based on the Lagrangian interpolation polynomial and has a more succinct form compared with the classical one proposed by Jiang and Shu [12]. Furthermore, several global smoothness indicators with truncation errors of up to 8th-order are devised. With the new local and global smoothness indicators, the corresponding weighted essentially non-oscillatory (WENO) scheme can present the fifth order convergence in smooth regions, especially at critical points where the first and second derivatives vanish (but the third derivatives are not zero). Also the use of higher order global smoothness indicators incurs less dissipation near the discontinuities of the solution. Numerical experiments are conducted to demonstrate the performance of the proposed scheme. (C) 2014 Elsevier Inc. All rights reserved.
KeywordWeno Scheme Smoothness Indicator Hyperbolic Conservation Law Euler Equation
SubtypeArticle
WOS HeadingsScience & Technology ; Technology ; Physical Sciences
DOI10.1016/j.jcp.2014.03.032
URL查看原文
Indexed BySCI
Language英语
WOS KeywordSHOCK-CAPTURING SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; WENO SCHEMES ; TAYLOR INSTABILITY ; RAYLEIGH-TAYLOR ; MESHES ; FLOW
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000335439300019
Citation statistics
Cited Times:43[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Version出版稿
Identifierhttp://ir.ipe.ac.cn/handle/122111/10900
Collection研究所(批量导入)
Affiliation1.Chinese Acad Sci, Inst Proc Engn, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China
3.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China
Recommended Citation
GB/T 7714
Fan, Ping,Shen, Yiqing,Tian, Baolin,et al. A new smoothness indicator for improving the weighted essentially non-oscillatory scheme[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2014,269(1):329-354.
APA Fan, Ping,Shen, Yiqing,Tian, Baolin,&Yang, Chao.(2014).A new smoothness indicator for improving the weighted essentially non-oscillatory scheme.JOURNAL OF COMPUTATIONAL PHYSICS,269(1),329-354.
MLA Fan, Ping,et al."A new smoothness indicator for improving the weighted essentially non-oscillatory scheme".JOURNAL OF COMPUTATIONAL PHYSICS 269.1(2014):329-354.
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