A three-dimensional wavelet based multifractal method : about the need of revisiting the multifractal description of turbulence dissipation data
Statistical Mechanics
2009-11-10 v2 Chaotic Dynamics
Abstract
We generalize the wavelet transform modulus maxima (WTMM) method to multifractal analysis of 3D random fields. This method is calibrated on synthetic 3D monofractal fractional Brownian fields and on 3D multifractal singular cascade measures as well as their random function counterpart obtained by fractional integration. Then we apply the 3D WTMM method to the dissipation field issue from 3D isotropic turbulence simulations. We comment on the need to revisiting previous box-counting analysis which have failed to estimate correctly the corresponding multifractal spectra because of their intrinsic inability to master non-conservative singular cascade measures.
Keywords
Cite
@article{arxiv.cond-mat/0302602,
title = {A three-dimensional wavelet based multifractal method : about the need of revisiting the multifractal description of turbulence dissipation data},
author = {Pierre Kestener and Alain Arneodo},
journal= {arXiv preprint arXiv:cond-mat/0302602},
year = {2009}
}
Comments
5 pages, 3figures, submitted to Phys. Rev. Lett