Workshop on New Ideas and Tools in Turbulence

We are interested in moments of velocity increments and derivatives, characterized by scaling exponents overline{(v(x + r) − v(x))n} ∝ r^ζn and overline{(∂xvx)n} ∝ Re^ρn , respectively. In high Reynolds number flows, the moments of different orders with n not equal m cannot be simply related to each other which is the signature of so-called anomalous scaling. A novel aspect of this work is that unlike previous efforts which aimed at seeking solutions around the infinite Reynolds number limit, we concentrate on the vicinity of transitional n-dependent Reynolds numbers Ren^trn based on different v_n = overline{v^{n}}∝ r^{frac{ζ}{n}}n of the first emergence of anomalous scaling out of a low-Re Gaussian background. The evaluated exponents agree well with experimental and numerical data.