title: Probing turbulence intermittency via autoregressive moving-average models.
abstract: We suggest an approach to probing intermittency corrections to the Kolmogorov law in turbulent flows based on the autoregressive moving-average modeling of turbulent time series. We introduce an index Υ that measures the distance from a Kolmogorov-Obukhov model in the autoregressive moving-average model space. Applying our analysis to particle image velocimetry and laser Doppler velocimetry measurements in a von Kármán swirling flow, we show that Υ is proportional to traditional intermittency corrections computed from structure functions. Therefore, it provides the same information, using much shorter time series. We conclude that Υ is a suitable index to reconstruct intermittency in experimental turbulent fields.
authors.affiliation: Laboratoire SPHYNX, Service de Physique de l'Etat Condensé, DSM, CEA Saclay, CNRS URA No. 2464, 91191 Gif-sur-Yvette, France.
authors.forename: Davide
authors.initials: D
authors.lastname: Faranda
authors.affiliation: Laboratoire SPHYNX, Service de Physique de l'Etat Condensé, DSM, CEA Saclay, CNRS URA No. 2464, 91191 Gif-sur-Yvette, France.
authors.forename: Bérengère
authors.initials: B
authors.lastname: Dubrulle
authors.affiliation: Laboratoire SPHYNX, Service de Physique de l'Etat Condensé, DSM, CEA Saclay, CNRS URA No. 2464, 91191 Gif-sur-Yvette, France.
authors.forename: François
authors.initials: F
authors.lastname: Daviaud
authors.affiliation: Department of Statistics, University of Bologna, Via delle Belle Arti 41, 40126 Bologna, Italy.
authors.forename: Flavio Maria Emanuele
authors.initials: FM
authors.lastname: Pons