FINITE-SIZE CORRECTIONS TO SCALING IN HIGH REYNOLDS-NUMBER TURBULENCE

We study analytically and numerically the corrections to scaling in tu rbulence which arise due to finite size effects as anisotropic forcing or boundary conditions at large scales. We find that the deviations d eltazeta(m) from the classical Kolmogorov scaling zeta(m) = m/3 of the velocity moments [\u(k)\m] is-proportional-to k(-zeta)m decrease like deltazeta(m)(Re) = c(m) Re-3/10. If, on the contrary, anomalous scali ng in the inertial subrange can experimentally be verified in the larg e Re limit, this will support the suggestion that small scale structur es should be responsible, originating from viscous effects either in t he bulk (vortex tubes or sheets) or from the boundary layers (plumes o r swirls), as both are underestimated in our reduced wave vector set a pproximation of the Navier-Stokes dynamics.