Application of arbitrary-order Hilbert spectral analysis to passive scalar turbulence,

Y. X. Huang , François G Schmitt (1) , Y. Gagne , Z. M. Lu , Yehan Liu

1 LOG - Laboratoire d’Océanologie et de Géosciences (LOG) - UMR 8187

In previous work [Huang et al., PRE 82, 26319, 2010], we found that the passive scalar turbulence field maybe less intermittent than what we believed before. Here we apply the same method, namely arbitrary-order Hilbert spectral analysis, to a passive scalar (temperature) time series with a Taylor's microscale Reynolds number Reλ 3000. We find that with increasing Reynolds number, the discrepancy of scaling exponents between Hilbert ξθ(q) and Kolmogorov-Obukhov-Corrsin (KOC) theory is increasing, and consequently the discrepancy between Hilbert and structure function could disappear at infinite Reynolds number

Domaines: Océanographie

Y. X. Huang, François G Schmitt, Y. Gagne, Z. M. Lu, Yehan Liu. Application of arbitrary-order Hilbert spectral analysis to passive scalar turbulence,. Journal of Physics: Conference Series, 2011, 318, pp.042003. ⟨10.1088/1742-6596/318/4/042003⟩. ⟨hal-00758431⟩