Wake density as a function of time for turbulent wavenumbers k = 4, k = 8 (Run0), and k = 16. The dotted vertical lines mark the transition from supersonic to subsonic regime in each case. The density in the wake grows faster and to higher values at high wavenumbers, where the gas is closer to homogeneity. At low wavenumbers the larger eddies in the turbulence and the higher rms turbulence erase the wake more easily.