Nonlinear Superposition of Direct and Inverse Cascades in Two-Dimensional Turbulence Forced at Large and Small Scales

作者:Cencini Massimo*; Muratore Ginanneschi Paolo; Vulpiani Angelo
来源:Physical Review Letters, 2011, 107(17): 174502.
DOI:10.1103/PhysRevLett.107.174502

摘要

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.

  • 出版日期2011-10-17