Intermittency of 1D velocity spatial profiles in turbulence: a magnitude cumulant analysis
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Revised: 29 June 2001
Published online: 15 September 2001
We perform one- and two-points magnitude cumulant analysis of one-dimensional longitudinal velocity profiles stemming from three different experimental set-ups and covering a broad range of Taylor scaled Reynolds numbers from Rλ=89 to 2500. While the first-order cumulant behavior is found to strongly depend on Reynolds number and experimental conditions, the second-order cumulant and the magnitude connected correlation functions are shown to display respectively universal scale and space-lag behavior. Despite the fact that the Extended Self-Similarity (ESS) hypothesis is not consistent with these findings, when extrapolating our results to the limit of infinite Reynolds number, one confirms the validity of the log-normal multifractal description of the intermittency phenomenon with a well defined intermittency parameter C2=0.025±0.003. But the convergence to zero of the magnitude connected correlation functions casts doubt on the asymptotic existence of an underlying multiplicative cascading spatial structure.
PACS: 47.27.Eq – Turbulence simulation and modeling / 02.50.-r – Probability theory, stochastic processes, and statistics / 47.27.Jv – High-Reynolds-number turbulence / 47.53.+n – Fractals
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001