Intermittency of 1D velocity spatial profiles in turbulence: a magnitude cumulant analysis

We perform one- and two-points magnitude cumulant analysis of one-dimension al longitudinal velocity profiles stemming from three different experimenta l set-ups and covering a broad range of Taylor scaled Reynolds numbers from R-lambda = 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 th e fact that the Extended Self-Similarity (ESS) hypothesis is not consistent with these findings, when extrapolating our results to the limit of infini te Reynolds number, one confirms the validity of the log-normal multifracta l description of the intermittency phenomenon with a well defined intermitt ency parameter C-2 = 0.025 +/- 0.003. But the convergence to zero of the ma gnitude connected correlation functions casts doubt on the asymptotic exist ence of an underlying multiplicative cascading spatial structure.