Nonlinear superposition of direct and inverse cascades in two-dimensional turbulence forced at large and small scales

Details Nonlinear superposition of direct and inverse cascades in two-dimensional turbulence forced at large and small scales Nonlinear superposition of direct and inverse cascades in two-dimensional turbulence forced at large and small scales

2011-07-12

arxiv.org/abs/1107.2338v2

Phys. Rev. Lett. 107, 174502 (2011)

Physics

Fluid Dynamics

4 Latex pages, 4 figures, the derivations of some equations have been expanded + other small corrections

Scientific paper

10.1103/PhysRevLett.107.174502

We inquire about the properties of 2d Navier-Stokes turbulence simultaneously forced at small and large scales. The background motivation comes by observational results on atmospheric turbulence. We show that the velocity field is amenable to the sum of two auxiliary velocity fields forced at large and small scale and exhibiting a direct-enstrophy and an inverse-energy cascade, respectively. Remarkably, the two auxiliary fields reconcile universal properties of fluxes with positive statistical correlation in the inertial range.

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