Numerical simulations of freely decaying isotropic turbulence were performed at two different Mach numbers (0.2 and 1.0) using known shock-capturing Euler schemes (Jameson, TVD-MUSCL, ENO). The potential of the Monotone Integrated Large-Eddy Simulation (MILES) approach was investigated by carrying out computations without viscous diffusion terms. These schemes are found very dissipative for the small scales. In a LES context, the numerical dissipation is interpreted in terms of subgrid-scale dissipation, yielding ‘equivalent Smagorinsky constant’ larger than the commonly accepted values of the classical Smagorinsky constant.