Unified Multifractal Description of Velocity Increments Statistics in Turbulence: Intermittency and Skewness

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dc.creatorChevillard, L.
dc.creatorCastaing, B.
dc.creatorLeveque, E.
dc.creatorArneodo, A.
dc.date2005-10-04
dc.date2006-06-03
dc.date.accessioned2026-07-07T06:44:08Z
dc.date.available2026-07-07T06:44:08Z
dc.descriptionThe phenomenology of velocity statistics in turbulent flows, up to now, relates to different models dealing with either signed or unsigned longitudinal velocity increments, with either inertial or dissipative fluctuations. In this paper, we are concerned with the complete probability density function (PDF) of signed longitudinal increments at all scales. First, we focus on the symmetric part of the PDFs, taking into account the observed departure from scale invariance induced by dissipation effects. The analysis is then extended to the asymmetric part of the PDFs, with the specific goal to predict the skewness of the velocity derivatives. It opens the route to the complete description of all measurable quantities, for any Reynolds number, and various experimental conditions. This description is based on a single universal parameter function D(h) and a universal constant R*.
dc.description13 pages, 3 figures, Extended version, Published
dc.identifierhttps://arxiv.org/abs/cond-mat/0510061
dc.identifierhttp://arxiv.org/abs/cond-mat/0510061
dc.identifierPhysica D, 218, 77 (2006)
dc.identifierdoi:10.1016/j.physd.2006.04.011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102675
dc.subjectStatistical Mechanics
dc.titleUnified Multifractal Description of Velocity Increments Statistics in Turbulence: Intermittency and Skewness
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