Probing turbulence intermittency via autoregressive moving-average models

Davide Faranda (1) , Bérengère Dubrulle (1) , François Daviaud (1) , Flavio Maria (2) , Emanuele Pons (2)

1 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
2 UNIBO - Alma Mater Studiorum Università di Bologna [Bologna]

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.

Domains: Physics [physics]

Davide Faranda, Bérengère Dubrulle, François Daviaud, Flavio Maria, Emanuele Pons. Probing turbulence intermittency via autoregressive moving-average models. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90, pp.061001(R). ⟨10.1103/PhysRevE.90.061001⟩. ⟨cea-01370472⟩