Intermittency in two-dimensional Ekman-Navier-Stokes turbulence

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Aug;66(2 Pt 2):026304. doi: 10.1103/PhysRevE.66.026304. Epub 2002 Aug 16.

Abstract

We study the statistics of the vorticity field in two-dimensional Navier-Stokes turbulence with linear Ekman friction. We show that the small-scale vorticity fluctuations are intermittent, as conjectured by Bernard [Europhys. Lett. 50, 333 (2000)] and Nam et al. [Phys. Rev. Lett. 84, 5134 (2000)]. The small-scale statistics of vorticity fluctuations coincide with that of a passive scalar with finite lifetime transported by the velocity field itself.