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Article Dans Une Revue Journal of Fluid Mechanics Année : 2014

Turbulent pair dispersion as a continuous-time random walk

Simon Thalabard
Giorgio Krstulovic
Jérémie Bec

Résumé

The phenomenology of turbulent relative dispersion is revisited. A heuristic scenario is proposed, in which pairs of tracers undergo a succession of independent ballistic separations during time intervals whose lengths fluctuate. This approach suggests that the logarithm of the distance between tracers self-averages and performs a continuous-time random walk. This leads to specific predictions for the probability distribution of separations, which differ from those obtained using scale-dependent eddy-diffusivity models (e.g. in the framework of Richardson’s approach). These predictions are tested against high-resolution simulations and shed new light on the explosive separation between tracers.
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hal-03576848 , version 1 (17-01-2024)

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Simon Thalabard, Giorgio Krstulovic, Jérémie Bec. Turbulent pair dispersion as a continuous-time random walk. Journal of Fluid Mechanics, 2014, 755, pp.R4. ⟨10.1017/jfm.2014.445⟩. ⟨hal-03576848⟩
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