• Letter

Circulation statistics and the mutually excluding behavior of turbulent vortex structures

L. Moriconi, R. M. Pereira, and V. J. Valadão
Phys. Rev. E 106, L023101 – Published 3 August 2022
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Abstract

The small-scale statistical properties of velocity circulation in classical homogeneous and isotropic turbulent flows are assessed through a modeling framework that brings together the multiplicative cascade and the structural descriptions of turbulence. We find that vortex structures exhibit short-distance repulsive correlations, which is evidenced when they are “tomographically” investigated, by means of planar cuts of the flow, as two-dimensional vortex gases. This phenomenon is suggested from model improvements which allow us to obtain an accurate multiscale description of the intermittent fluctuations of circulation. Its crucial new ingredient, the conjectured hard disk behavior of the effective planar vortices, is then found to be strongly supported from a study of their spatial distributions in direct numerical simulations of the Navier-Stokes equations.

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  • Received 3 May 2022
  • Accepted 7 July 2022

DOI:https://doi.org/10.1103/PhysRevE.106.L023101

©2022 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsStatistical Physics & Thermodynamics

Authors & Affiliations

L. Moriconi1, R. M. Pereira2,*, and V. J. Valadão1

  • 1Instituto de Física, Universidade Federal do Rio de Janeiro, C.P. 68528, CEP: 21945-970, Rio de Janeiro, RJ, Brazil
  • 2Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil

  • *Corresponding author: rodrigomp@id.uff.br

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Issue

Vol. 106, Iss. 2 — August 2022

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