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A perturbational weighted essentially non-oscillatory scheme
Ceng FJ(曾方军); Shen YQ(申义庆); Liu SP(刘升平)
Source PublicationCOMPUTERS & FLUIDS
2018-08-30
Volume172Pages:196-208
ISSN0045-7930
AbstractIn this paper, based on the perturbed fluxes of all candidate fluxes used in the traditional fifth order WENO scheme, a fifth-order accurate perturbational weighted essentially non-oscillatory (P-WENO) scheme is developed. First, a corollary about the accuracy of a kind of conservative schemes is generalized and proved. Then, based on the corollary and the idea of numerical perturbation, the perturbed fluxes, which are one order higher than the traditional candidate ones of the fifth-order WEND scheme, are obtained. Furthermore, we derive the necessary and sufficient conditions for the fifth-order convergence of the new weighted scheme constructed by using the new perturbed fluxes and find that they are one order lower than those derived by Henrick et al. for the traditional fifth-order WENO scheme. Thus, the new weighted scheme, which uses the same weights of the WENO-Z scheme and the perturbed fluxes, can meet the necessary and sufficient condition for fifth-order convergence even at critical points. The resulted P-WENO scheme actually provides a novel method to decrease the numerical dissipation of traditional WENO schemes. Numerical examples are presented to verify the accuracy, robustness and low-dissipation of the new scheme. (C) 2018 Elsevier Ltd. All rights reserved.
KeywordWENO scheme Numerical perturbation method Necessary and sufficient conditions Low-dissipation
DOI10.1016/j.compfluid.2018.07.003
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Indexed BySCI ; EI
Language英语
WOS IDWOS:000442067700014
WOS KeywordSHOCK-CAPTURING SCHEMES ; DIRECT NUMERICAL-SIMULATION ; DIFFERENCE WENO SCHEMES ; EFFICIENT IMPLEMENTATION ; SMOOTHNESS INDICATOR ; TURBULENCE ; ACCURACY
WOS Research AreaComputer Science, Interdisciplinary Applications ; Mechanics
WOS SubjectComputer Science ; Mechanics
Funding OrganizationNSAF [U1530145] ; NKRDPC [2016YFA0401200] ; SCP [TZ2016002] ; NSFC [11272325, 11272324]
Classification二类
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77850
Collection高温气体动力学国家重点实验室
Affiliation1.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 100049, Peoples R China
Recommended Citation
GB/T 7714
Ceng FJ,Shen YQ,Liu SP. A perturbational weighted essentially non-oscillatory scheme[J]. COMPUTERS & FLUIDS,2018,172:196-208.
APA 曾方军,申义庆,&刘升平.(2018).A perturbational weighted essentially non-oscillatory scheme.COMPUTERS & FLUIDS,172,196-208.
MLA 曾方军,et al."A perturbational weighted essentially non-oscillatory scheme".COMPUTERS & FLUIDS 172(2018):196-208.
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