A dynamic sub-grid scale model for large eddy simulation of turbulent flows in a lid-driven cubical cavity

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.