Dynamic Multiscaling in Two-dimensional Fluid Turbulence

Details Dynamic Multiscaling in Two-dimensional Fluid Turbulence Dynamic Multiscaling in Two-dimensional Fluid Turbulence

2011-05-25

arxiv.org/abs/1105.5160v1

Physics

Fluid Dynamics

to be submitted to Phys. Rev. Lett

Scientific paper

We obtain, by extensive direct numerical simulations, time-dependent and equal-time structure functions for the vorticity, in both quasi-Lagrangian and Eulerian frames, for the direct-cascade regime in two-dimensional fluid turbulence with air-drag-induced friction. We show that different ways of extracting time scales from these time-dependent structure functions lead to different dynamic-multiscaling exponents, which are related to equal-time multiscaling exponents by different classes of bridge relations; for a representative value of the friction we verify that, given our error bars, these bridge relations hold.

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