Finite size corrections to scaling in high Reynoldsnumber

We study analytically and numerically the corrections to scaling in turbulence which arise due to nite size eeects as anisotropic forcing or boundary conditions at large scales. We nd that the deviations m from the classical Kol-mogorov scaling m = m=3 of the velocity moments hju(k)j m i / k ?m decrease like m (Re) = c m Re ?3=10. If, on the contrary, anomalous scaling in the inertial subrange can experimentally be veriied in the large Re limit, this will support the suggestion that small scale structures should be responsible, originating from viscous eeects either in the bulk (vortex tubes or sheets) or from the boundary layers (plumes or swirls), as both are underestimated in our reduced wave vector set approximation of the Navier-Stokes dynamics.