Uncovering a log-normal cascade process in high Reynolds number turbulence from wavelet analysis

Alain Arnéodo (1) , Sébastien Manneville (1) , Jean-François Muzy (1)

1 CRPP - Centre de recherches Paul Pascal

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]

Alain Arnéodo, Sébastien Manneville, Jean-François Muzy. Uncovering a log-normal cascade process in high Reynolds number turbulence from wavelet analysis. Advances in Turbulence VII, 46, Springer, pp.215-218, 1998, Fluid Mechanics and Its Applications book series (FMIA, volume 46), 9789401151184. ⟨10.1007/978-94-011-5118-4_53⟩. ⟨hal-01557123⟩