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Physics > Fluid Dynamics

arXiv:2006.16725 (physics)
[Submitted on 30 Jun 2020]

Title:Vortex Gas Modeling of Turbulent Circulation Statistics

Authors:G.B. Apolinário, L. Moriconi, R.M. Pereira, V.J. Valadão
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Abstract:Statistical properties of circulation encode relevant information about the multi-scale structure of turbulent cascades. Recent massive computational efforts have posed challenging theoretical issues, as the dependence of circulation moments upon Reynolds numbers and length scales, and the specific shape of the heavy-tailed circulation probability distribution functions. We address these focal points in an investigation of circulation statistics for planar cuts of three-dimensional flows. The model introduced here borrows ideas from the structural approach to turbulence, whereby turbulent flows are depicted as dilute vortex gases, combined with the standard Obukhov-Kolmogorov phenomenological framework of small-scale intermittency. We are able to reproduce, in this way, key statistical features of circulation, in close agreement with empirical observations compiled from direct numerical simulations.
Comments: 5 pages, three figures
Subjects: Fluid Dynamics (physics.flu-dyn); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:2006.16725 [physics.flu-dyn]
  (or arXiv:2006.16725v1 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.2006.16725
Journal reference: Phys. Rev. E 102, 041102 (2020)
Related DOI: https://doi.org/10.1103/PhysRevE.102.041102

Submission history

From: Luca Moriconi [view email]
[v1] Tue, 30 Jun 2020 12:28:21 UTC (92 KB)
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