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Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows

Published online by Cambridge University Press:  14 October 2021

E. Lévêque ,
F. Toschi ,
L. Shao  and
J.-P. Bertoglio
E. Lévêque
Affiliation:
Laboratoire de Physique, CNRS, Université de Lyon, École normale supérieure de Lyon, France
F. Toschi
Affiliation:
Istituto per le Applicazioni del Calcolo, CNR, Viale del Policlinico 137, I-00161, Roma, Italy INFN, Sezione di Ferrara, Via G. Saragat 1, I-44100 Ferrara, Italy
L. Shao
Affiliation:
Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS, Université de Lyon, École centrale de Lyon, Université Lyon 1, INSA de Lyon, France
J.-P. Bertoglio
Affiliation:
Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS, Université de Lyon, École centrale de Lyon, Université Lyon 1, INSA de Lyon, France
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Abstract

A shear-improved Smagorinsky model is introduced based on results concerning mean-shear effects in wall-bounded turbulence. The Smagorinsky eddy-viscosity is modified as vT =(Csδ)2(|S|—|〈S〉|): the magnitude of the mean shear |〈S〉|is subtracted from the magnitude of the instantaneous resolved rate-of-strain tensor |S|; CS is the standard Smagorinsky constant and Δ denotes the grid spacing. This subgrid-scale model is tested in large-eddy simulations of plane-channel flows at Reynolds numbers Reτ = 395 and Reτ = 590. First comparisons with the dynamic Smagorinsky model and direct numerical simulations for mean velocity, turbulent kinetic energy and Reynolds stress profiles, are shown to be extremely satisfactory. The proposed model, in addition to being physically sound and consistent with the scale-by-scale energy budget of locally homogeneous shear turbulence, has a low computational cost and possesses a high potential for generalization to complex non-homogeneous turbulent flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 570 , 10 January 2007 , pp. 491 - 502
Copyright
Copyright © Cambridge University Press 2007

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