The Richardson's Law in Large-Eddy Simulations of Boundary Layer flows

Abstract

Relative dispersion in a neutrally stratified planetary boundary layer (PBL) is investigated by means of Large-Eddy Simulations (LES). Despite the small extension of the inertial range of scales in the simulated PBL, our Lagrangian statistics turns out to be compatible with the Richardson $t^3$ law for the average of square particle separation. This emerges from the application of nonstandard methods of analysis through which a precise measure of the Richardson constant was also possible. Its values is estimated as $C_2\sim 0.5$ in close agreement with recent experiments and three-dimensional direct numerical simulations.

arXiv comment15 LaTex pages, 4 PS figures

References in corpus (5)

• Relative dispersion in fully developed turbulence: The Richardson's Law and Intermittency Corrections
• Universality and saturation of intermittency in passive scalar turbulence
• Non Asymptotic Properties of Transport and Mixing
• Pair dispersion in turbulence
• Statistics of temperature fluctuations in a buoyancy dominated boundary layer flow simulated by a Large-eddy simulation model

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• Mapping diffusivity of narrow channels into one-dimension