Universal velocity profile for coherent vortices in two-dimensional turbulence

M. Chertkov, I. Kolokolov, V. Lebedev

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Two-dimensional turbulence generated in a finite box produces large-scale coherent vortices coexisting with small-scale fluctuations. We present a rigorous theory explaining the η=1/4 scaling in the V □ r-η law of the velocity spatial profile within a vortex, where r is the distance from the vortex center. This scaling, consistent with earlier numerical and laboratory measurements, is universal in its independence of details of the small-scale injection of turbulent fluctuations and details of the shape of the box.

Original languageEnglish (US)
Article number015302
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number1
StatePublished - Jan 19 2010
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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