Implicit Large-Eddy Simulation of a Deep Cavity Using High-Resolution Methods

Implicit Large Eddy Simulations of a deep cavity at Mach 0.8 and Reynolds based on cavity length of 860,000 have been conducted using a recently developed Implicit Large Eddy Simulation (ILES) method. The numerical method employed is a new fifth-order accurate in space method where the variable extrapolation has been modified to give greatly improved performance in low Mach regions of the flow, such as areas of turbulent flow, yet retaining the shock capturing capabilities of the original method, and positivity of advected species. The ILES results are compared to experimental measurements by Forestier et al. (J. Fluid Mech.,vol. 475, 2003) of the mean flow field, Reynolds stresses and pressure spectra. The frequency and amplitude of the fundamental modes are predicted to within 2% and 6dB at all grid levels. There is excellent agreement of the mean flow field and Reynolds stresses, demonstrating that there is no need for an explicit subgrid model when using the new reconstruction method for this flow configuration.