APPLICATION OF EXTENDED SELF-SIMILARITY IN TURBULENCE

From Navier-Stokes turbulence numerical simulations we show that for t he extended self-similarity (ESS) method it is essential to take the t hird order structure function taken with the modulus and called D-3(r ), rather than the standard third order structure function D-3(r) itse lf. If this is done, we find ESS towards scales larger than order simi lar to 10 eta, where eta is the Kolmogorov scale. If D-3(r) is used, t here is no ESS. We also analyze ESS within the Batchelor parametrizati on of the second and third order longitudinal structure function and f ocus on the scaling of the transversal structure function. The Re-asym ptotic inertial range scaling develops only beyond a Taylor-Reynolds n umber Re(lambda)greater than or similar to 500.