Nonlinear superposition of direct and inverse cascades in two-dimensional turbulence forced at large and small scales
arXiv:1107.2338 · doi:10.1103/PhysRevLett.107.174502
Abstract
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.
4 Latex pages, 4 figures, the derivations of some equations have been expanded + other small corrections
References in corpus (5)
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- Turbulence-condensate interaction in two dimensions
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Cited by in corpus (6)
- Cascades and transitions in turbulent flows
- Inverse energy cascade in three-dimensional isotropic turbulence
- Split energy cascade in turbulent thin fluid layers
- Role of helicity for large- and small-scale turbulent fluctuations
- Disentangling the triadic interactions in Navier-Stokes equations
- Cascade and Intermittency of the Sea Surface Temperature in the Oceanic System