"Actually, we should come back to the character of turbulence that is hystorically illustrated in literature, that is the case of homogeneous isotropic turbulence. An energy equilibrium is assumed at small scales. As a matter of fact, just when considering wall bounded flows it appears no longer true that below a certain characteristic lenght scale you can consider a universal behaviour of the eddies. This is for example the case in which using LES you adopts a DNS-like grid resolution normal to a wall."