Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-08-05
J. Fluid Mech. 550, 349 (2006)
Nonlinear Sciences
Chaotic Dynamics
10 pages, 3 figs, 2 tables. A section with new results has been added. Revised version accepted for pubblication on Journal of
Scientific paper
10.1017/S002211200500844X
We present the results of direct numerical simulations of heavy particle transport in homogeneous, isotropic, fully developed turbulence, up to resolution $512^3$ ($R_\lambda\approx 185$). Following the trajectories of up to 120 million particles with Stokes numbers, $St$, in the range from 0.16 to 3.5 we are able to characterize in full detail the statistics of particle acceleration. We show that: ({\it i}) The root-mean-squared acceleration $a_{\rm rms}$ sharply falls off from the fluid tracer value already at quite small Stokes numbers; ({\it ii}) At a given $St$ the normalised acceleration $a_{\rm rms}/(\epsilon^3/\nu)^{1/4}$ increases with $R_\lambda$ consistently with the trend observed for fluid tracers; ({\it iii}) The tails of the probability density function of the normalised acceleration $a/a_{\rm rms}$ decrease with $St$. Two concurrent mechanisms lead to the above results: preferential concentration of particles, very effective at small $St$, and filtering induced by the particle response time, that takes over at larger $St$.
Bec Jeremie
Biferale Luca
Boffetta Guido
Celani Antonio
Cencini Massimo
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