English

Dynamic Multiscaling in Two-dimensional Fluid Turbulence

Fluid Dynamics 2015-03-19 v2 Chaotic Dynamics

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.

Keywords

Cite

@article{arxiv.1105.5160,
  title  = {Dynamic Multiscaling in Two-dimensional Fluid Turbulence},
  author = {Samriddhi Sankar Ray and Dhrubaditya Mitra and Prasad Perlekar and Rahul Pandit},
  journal= {arXiv preprint arXiv:1105.5160},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T18:12:47.339Z