Experimental analysis of self-similarity and random cascade processes : Application to fully developed turbulence data

@inproceedings{Arneodo1997ExperimentalAO,
  title={Experimental analysis of self-similarity and random cascade processes : Application to fully developed turbulence data},
  author={Alain Arneodo and J.-F. Muzy and St{\'e}phane Le Roux},
  year={1997}
}
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 G aa , (x) that charac-terizes 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 G aa , 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… CONTINUE READING

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