Phys. Rev. E 81, 015302(R) (2010) [4 pages]Universal velocity profile for coherent vortices in two-dimensional turbulence
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. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.015302
DOI:
10.1103/PhysRevE.81.015302
PACS:
47.27.De
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