NDLI: Derivation of a second-order model for Reynolds stress using renormalization group analysis and the two-scale expansion technique

Content Provider	Springer Nature Link
Author	Wang, Xiao Hong Liu, Zheng Feng Lu, Xiao Xia
Copyright Year	2011
Abstract	With the two-scale expansion technique proposed by Yoshizawa, the turbulent fluctuating field is expanded around the isotropic field. At a low-order two-scale expansion, applying the mode coupling approximation in the Yakhot-Orszag renormalization group method to analyze the fluctuating field, the Reynolds-average terms in the Reynolds stress transport equation, such as the convective term, the pressure-gradient-velocity correlation term and the dissipation term, are modeled. Two numerical examples: turbulent flow past a backward-facing step and the fully developed flow in a rotating channel, are presented for testing the efficiency of the proposed second-order model. For these two numerical examples, the proposed model performs as well as the Gibson-Launder (GL) model, giving better prediction than the standard k-ɛ model, especially in the abilities to calculate the secondary flow in the backward-facing step flow and to capture the asymmetric turbulent structure caused by frame rotation.
Starting Page	649
Ending Page	659
Page Count	11
File Format	PDF
ISSN	05677718
Journal	Acta Mechanica Sinica
Volume Number	27
Issue Number	5
e-ISSN	16143116
Language	English
Publisher	The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Publisher Date	2011-09-27
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Turbulent modeling Renormalization group Two-scale expansion Reynolds stress transport equation Second-order model Computational Intelligence Engineering Fluid Dynamics Classical Continuum Physics Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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