Dynamic Multiscaling in Two-dimensional Fluid Turbulence

Abstract

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 differ- ent 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.

Published in Phys. Rev. Lett, Supplemental materials added as appendix

References in corpus (3)

• Persistence Problem in Two-Dimensional Fluid Turbulence
• Multi-Time Multi-Scale Correlation Functions in Hydrodynamic Turbulence
• Dynamic Multiscaling in Turbulence

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