A Large-Eddy Simulation of the Shear-Driven Cavity Flow Using Dynamic Modeling

A large-eddy simulation of the three-dimensional shear-driven cavity flow was carried out at a high Reynolds number where the subgrid scale turbulence was represented by a dynamic model. Lilly's expression was tested for determining Smagorinsky's coefficient in the model without ad hoc measures such as ensemble-averaging or filtering. However, zero cut-off of negative total viscosity was necessary to maintain stable solutions. A discretized filter function is derived for the test filter. Good qualitative and quantitative agreement with published experimental data was obtained indicating that the dynamic model performed quite well. The cavity flow at Reynolds number of 104 is transitional. The highest turbulent production levels not only occurred within the downstream eddy region of the cavity, but also along the upper half of the downstream wall.

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