Uncovering a log-normal cascade process in high Reynolds number turbulence from wavelet analysis
Résumé
We present a generalization of the Castaing et al. [1] approach of velocity intermittency using the wavelet transform (WT). This description consists in looking for a multiplicative cascade process directly on the velocity field assuming that the probability density function (pdf) of the modulus maxima of the WT (WTMM) at a given scale $a$, $P_a (T)$, can be expressed as a weighted sum of dilated pdf’s at a larger scale $a’ > a$:
$$P_a(T)=\int G_{aa′}(u)P_{a′}(e^{−uT})e^{−u}du,$$
Domaines
Biophysique [physics.bio-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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