Universal velocity profile for coherent vortices in two-dimensional turbulence
Abstract
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.
- Publication:
-
Physical Review E
- Pub Date:
- January 2010
- DOI:
- 10.1103/PhysRevE.81.015302
- arXiv:
- arXiv:0909.1575
- Bibcode:
- 2010PhRvE..81a5302C
- Keywords:
-
- 47.27.De;
- Coherent structures;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 4 pages, 1 figure