Derivation of a Nonlinear Reynolds Stress Model Using Renormalization Group Analysis and Two-Scale Expansion Technique

Autor:	Wang Xiaohong, Liu Zheng-Feng
Rok vydání:	2008
Předmět:	Physics::Fluid Dynamics Physics Nonlinear system Turbulence Isotropy General Physics and Astronomy Reynolds stress equation model Lower order Statistical physics Reynolds stress Mechanics Covariance Renormalization group
Zdroj:	Chinese Physics Letters. 25:604-607
ISSN:	1741-3540 0256-307X
DOI:	10.1088/0256-307x/25/2/068
Popis:	Adopting Yoshizawa's two-scale expansion technique, the fluctuating field is expanded around the isotropic field. The renormalization group method is applied for calculating the covariance of the fluctuating field at the lower order expansion. A nonlinear Reynolds stress model is derived and the turbulent constants inside are evaluated analytically. Compared with the two-scale direct interaction approximation analysis for turbulent shear flows proposed by Yoshizawa, the calculation is much more simple. The analytical model presented here is close to the Speziale model, which is widely applied in the numerical simulations for the complex turbulent flows.
Databáze:	OpenAIRE
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