J. Phys. II France
Volume 7, Numéro 2, February 1997
Page(s) 363 - 370
DOI: 10.1051/jp2:1997130
J. Phys. II France 7 (1997) 363-370

Experimental Analysis of Self-Similarity and Random Cascade Processes: Application to Fully Developed Turbulence Data

A. Arneodo, J.F. Muzy and S.G. Roux

Centre de Recherche Paul Pascal, avenue Schweitzer, 33600 Pessac, France

(Received 4 November 1996, received in final form 19 December 1996, accepted 19 December 1996)

In the context of fully developed turbulence, Castaing et al. [10] have recently advocated a description of a random cascade process in terms of a kernel Gaa' (x) that characterizes the nature of the cascade when going from a scale a' to a finer scale a. We elaborate on a method to estimating, directly from experimental data, the shape of Gaa' for all scales a and a'. We apply this method to turbulent velocity data and we show that it provides very instructive informations about the soundness of various phenomenological models for the intermittency character of turbulent flows.

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