Abstract
We report the existence of a self-similar scaling in the vortices of freely evolving two-dimensional turbulence: The vortex number density compensated by the mean vortex intensity , where is vortex area and is time, follows the self-similar form . This extended scale-invariant behavior holds for different initial conditions, despite very different scaling of and taken separately, and ensures that the number of turnaround times taken to cross the characteristic intervortex distance is independent of scale.
- Received 6 March 2017
DOI:https://doi.org/10.1103/PhysRevFluids.2.114702
©2017 American Physical Society