Local properties of extended self-similarity in three-dimensional turbulence

Using a generalization of extended self-similarity we have studied local scaling properties of incompressible homogeneous isotropic three-dimensional turbulence in a direct numerical simulation. We have found that these properties are consistent with log-normal-like behavior of the velocity increments with moderate amplitudes for space scales r beginning from Kolmogorov length eta up to the largest scales, and in the whole range of the Reynolds numbers: 50 < or = R(lambda) < or = 459. The locally determined intermittency exponent mu(r) varies with r; it has a maximum at scale r=14 eta, independent of R(lambda).