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Multistep weighted essentially non-oscillatory scheme
Shen YQ(申义庆); Liu L; Yang Y(杨焱); Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
Source PublicationInternational Journal for Numerical Methods in Fluids
2014-06-10
Volume75Issue:4Pages:231-249
ISSN0271-2091
AbstractA fifth-order accurate multistep weighted essentially non-oscillatory (WENO) scheme is constructed in this paper. Different from the traditional WENO schemes, which are designed to have (2r-1)th order accuracy in the smooth regions directly from r candidate stencils, the new scheme is constructed through (r-1) weighting steps. In each step, only two neighboring stencils are used to construct the intermediate fluxes (or the final flux), which are only one order higher than the fluxes obtained from the previous step. Henrick's mapping function is used in each step to satisfy the sufficient condition of fifth-order convergence for a fifth-order WENO scheme; hence, the new scheme is fifth-order accurate in smooth regions. The distinctive advantage of the new scheme is that it can improve the accuracy by one order higher than the traditional WENO schemes at transition points (connecting a smooth region and a discontinuity point); and hence, it improves the accuracy in the regions near discontinuities. Numerical examples show that the new scheme is robust and is less dissipative than the traditional fifth-order WENO schemes. Copyright (c) 2014 John Wiley & Sons, Ltd.
KeywordNumerical Method Weighted Essentially Non-oscillatory Scheme Shock Wave Complex Flowfield Simulation
Subject AreaComputer Science ; Mechanics
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000335436400001
Funding OrganizationThis research work was supported by the National Natural Science Foundation of China under Grant 11272325.
DepartmentLHD气动布局优化与计算方法
ClassificationQ3
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48878
Collection高温气体动力学国家重点实验室
Corresponding AuthorShen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Shen YQ,Liu L,Yang Y,et al. Multistep weighted essentially non-oscillatory scheme[J]. International Journal for Numerical Methods in Fluids,2014,75(4):231-249.
APA Shen YQ,Liu L,Yang Y,&Shen, YQ .(2014).Multistep weighted essentially non-oscillatory scheme.International Journal for Numerical Methods in Fluids,75(4),231-249.
MLA Shen YQ,et al."Multistep weighted essentially non-oscillatory scheme".International Journal for Numerical Methods in Fluids 75.4(2014):231-249.
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