2003/10/06 by L. Chevillard, Laurent Chevillard, Stéphane Roux +9 · 1 citation
Economics, Econometrics and Finance · Environmental Science · Physics and Astronomy · #Complex Systems and Time Series Analysis #Hydrology and Drought Analysis #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.91.214502
published as Physical Review Letters, 91, 214502, (2003) · 5 pages, 3 figures, to appear in PRL
arxiv created 2003/10/06 · openalex publication_date 2003/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We use the multifractal formalism to describe the effects of dissipation on Lagrangian velocity statistics in turbulent flows. We analyze high Reynolds number experiments and direct numerical simulation data. We show that this approach reproduces the shape evolution of velocity increment probability density functions from Gaussian to stretched exponentials as the time lag decreases from integral to dissipative time scales. A quantitative understanding of the departure from scaling exhibited by the magnitude cumulants, early in the inertial range, is obtained with a free parameter function D(h) which plays the role of the singularity spectrum in the asymptotic limit of infinite Reynolds number. We observe that numerical and experimental data are accurately described by a unique quadratic D(h) spectrum which is found to extend from h(min) approximately 0.18 to h(max) approximately 1.