Large Eddy Simulation of transitional flows in rotor/stator cavity

AN ALGORITHM POR the Large Eddy Simulation, with subgrid modelling based on the spectral Chebyshev-Fourier approximation, is developed for the investigation of 31) turbulent and transitional non-isothermal flows within a rotor/stator cavity. In LES we use a version of the dynamic Smagorinsky eddy viscosity model in which the Smagorinsky coefficient at a given position x depends on the history of the flow along the fluid particle pathline. Computations are based on the efficient pseudo-spectral Chebyshev-Fourier method (S. HUGUES, A. RANDRIAMAMPIANINA, An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations, Int. J. Nurner. Methods Fluids, 28, 501, 1998). To dernonstrate the effectiveness of the proposed algorithm, computations were performed for the cavity of spect ratio L = 5 and results were compared favorably with the experimental data taken from literature.