Comptes Rendus
no. 10
A dynamic sub-grid scale model for large eddy simulation of turbulent flows in a lid-driven cubical cavity
Nader Ben-Cheikh1  ; Faycel Hammami1 ; Antonio Campo2 ; Brahim Ben-Beya1
1 Laboratory of Fluid Dynamics, Physics Department, Faculty of Science of Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia
2 Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, USA
Comptes Rendus. Mécanique, Volume 340 (2012) no. 10, pp. 721-730.

This work undertakes a numerical study of turbulent incompressible flows in lid-driven cubical cavities using Large Eddy Simulation and two sub-grid scale models, i.e., the WALE (Wall-Adapting Local Eddy-viscosity) model and the corresponding dynamic sub-grid model (DSGS). In the process of using DSGS, an optimal value of constant CW of the WALE model was determined for a pre-set Reynolds number Re=104. The computed numerical results showed very good agreement with those Direct Numerical Simulation (DNS) results and with the experimental measurements found in the literature. Optimal values of CW were determined afterwards with the DSGS model and they were proposed for the analysis of higher Reynolds number turbulent flows. At the end, a power law correlation between CW and Re was proposed for the range 104⩽Re⩽3×104.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2012.10.001
Mots clés : Turbulence, Lid-driven cubical cavity, Incompressible fluid, Large eddy simulation, WALE model, Dynamic sub-grid scale
Nader Ben-Cheikh 1 ; Faycel Hammami 1 ; Antonio Campo 2 ; Brahim Ben-Beya 1

1 Laboratory of Fluid Dynamics, Physics Department, Faculty of Science of Tunis, Campus Universitaire, 2092 El-Manar II, Tunisia
2 Department of Mechanical Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, USA 
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Nader Ben-Cheikh; Faycel Hammami; Antonio Campo; Brahim Ben-Beya. A dynamic sub-grid scale model for large eddy simulation of turbulent flows in a lid-driven cubical cavity. Comptes Rendus. Mécanique, Volume 340 (2012) no. 10, pp. 721-730. doi : 10.1016/j.crme.2012.10.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.001/

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