Abstract

By using direct numerical simulations (DNS) at unprecedented resolution we study turbulence under rotation in the presence of simultaneous direct and inverse cascades. The accumulation of energy at large scale leads to the formation of vertical coherent regions with high vorticity oriented along the rotation axis. By seeding the flow with millions of inertial particles, we quantify -for the first time- the effects of those coherent vertical structures on the preferential concentration of light and heavy particles. Furthermore, we quantitatively show that extreme fluctuations, leading to deviations from a normal-distributed statistics, result from the entangled interaction of the vertical structures with the turbulent background. Finally, we present the first-ever measurement of the relative importance between Stokes drag, Coriolis force and centripetal forces along the trajectories of inertial particles. We discover that vortical coherent structures lead to unexpected diffusion properties for heavy and light particles in the directions parallel and perpendicular to the rotation axis.

Highlights

  • The dynamics of fluids under strong rotation is a challenging problem in the field of hydrodynamics and magnetohydrodynamics [1,2], with key applications to geophysical and astrophysical problems and engineering [3,4,5,6,7,8]

  • The most striking phenomenon originated by the Coriolis force is the formation of intense and coherent columnar vortical structures, which has been observed in numerical simulations [15,16,17,18,19] and in experiments for rotating turbulence produced by an oscillating grid [9], for decaying turbulence [10,11,12], forced turbulence [14], and turbulent convection [24]

  • Very little is known concerning the combined EulerianLagrangian properties, and a long-lasting debate exists concerning the effects of confinement and forcing, and whether or not they have a singular footprint on the statistics

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Summary

Toschi

By using direct numerical simulations (DNS) at unprecedented resolution, we study turbulence under rotation in the presence of simultaneous direct and inverse cascades. By seeding the flow with millions of inertial particles, we quantify—for the first time—the effects of those coherent vertical structures on the preferential concentration of light and heavy particles. We quantitatively show that extreme fluctuations, leading to deviations from a normal-distributed statistics, result from the entangled interaction of the vertical structures with the turbulent background. We present the first-ever measurement of the relative importance between Stokes drag, Coriolis force, and centripetal force along the trajectories of inertial particles. We discover that vortical coherent structures lead to unexpected diffusion properties for heavy and light particles in the directions parallel and perpendicular to the rotation axis

INTRODUCTION
Eulerian fields
Lagrangian particles
Equation of motion for the Eulerian flow and for the Lagrangian trajectories
Direct numerical simulations setup
EULERIAN STATISTICS
Real-space analysis
LAGRANGIAN STATISTICS
Findings
CONCLUSIONS
Full Text
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