Large eddy simulation of compressible turbulence using high-resolution methods

The paper presents a numerical investigation of high-resolution schemes for solving the compressible Euler and Navier–Stokes equations in the context of implicit large eddy simulation (ILES), also known as monotone integrated LES (MILES). We have employed three high-resolution schemes: a flux vector splitting (FVS), a characteristics-based (Godunov-type) and a hybrid total variation diminishing (TVD) scheme; and carried out computations of: (i) decaying turbulence in a triply periodic cube and (ii) compressible flow around open cavities for low and high Reynolds numbers, at transonic and supersonic speeds. The decaying turbulence simulations show that all high-resolution schemes employed here provide plausible solutions without adding explicit dissipation with the energy spectra being dependent on the numerics. Furthermore, the ILES results for cavity flows agree well with previously published direct numerical simulations and experimental data.