Experimental Check of Infinite Divisibility for the Velocity Cascade in Developed Turbulence
Interest raised recently about Infinite Divisibility [1, 2] of dissipation logarithm distributions (IDD) and Extended Self Similarity (ESS)  of velocity difference moments . However the largest confusion exists about experimental tests. The relation between IDD and ESS lie on the Kol-mogorov refined hypothesis  whose verification is not exempt of problems [6, 7]. On the other hand, the multifractal approach  and others focused on a distribution of local velocity amplitudes independently of the dissipation field. Some generalizations  have been shown  to yield both ESS and infinite divisibility for the distributions of logarithms of these velocity amplitudes (the last one hereafter refered as ID).
KeywordsReynolds Number High Reynolds Number Velocity Amplitude Infinite Divisibility Levy Distribution
Unable to display preview. Download preview PDF.
- 8.Parisi, G. and Frisch, U., in “Turbulence and PredictabilityVarenna”, Summer School, M. Ghol, R. Benzi, G. Parisi Eds (North-Holland, Amsterdam 1985) p. 84.Google Scholar
- 11.Monin, A.S., Yaglom, A.M., in “Statistical Fluid Mechanics” (MIT Press, Cambridge, Massachussetts 1975).Google Scholar
- 13.Schertzer, D., Lovejoy, S., Schmitt, F., in “Small Scale Structures in 3D and MHD Turbulence”, P.L. Sulem, M. Meneguzzi, A. Pouquet eds (Springer 1995).Google Scholar
- 17.Benzi, R., Bifferale, L., Ciliberto, S., Struglia, M.V., Tripiccione, L., Physica D, in press (1996).Google Scholar