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Article Dans Une Revue Journal of Fluid Mechanics Année : 2014

Lagrangian cascade in three-dimensional homogeneous and isotropic turbulence.

Résumé

In this work, the scaling statistics of the dissipation along Lagrangian trajectories are investigated by using fluid tracer particles obtained from a high resolution direct numerical simulation with Re λ =400 . Both the energy dissipation rate ϵ and the local time averaged ϵ τ agree rather well with the lognormal distribution hypothesis. Several statistics are then examined. It is found that the autocorrelation function ρ(τ) of ln(ϵ(t)) and variance σ 2 (τ) of ln(ϵ τ (t)) obey a log-law with scaling exponent β ′ =β=0.30 compatible with the intermittency parameter μ=0.30 . The q th-order moment of ϵ τ has a clear power-law on the inertial range 10<τ/τ η <100 . The measured scaling exponent K L (q) agrees remarkably with q−ζ L (2q) where ζ L (2q) is the scaling exponent estimated using the Hilbert methodology. All these results suggest that the dissipation along Lagrangian trajectories could be modelled by a multiplicative cascade.

Domaines

Océanographie

Dates et versions

hal-00945838 , version 1 (13-02-2014)

Identifiants

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Yongxiang Huang, François G Schmitt. Lagrangian cascade in three-dimensional homogeneous and isotropic turbulence.. Journal of Fluid Mechanics, 2014, 741, pp.R2. ⟨10.1017/jfm.2014.1⟩. ⟨hal-00945838⟩
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