Perlekar, Prasad ; Ray, Samriddhi Sankar ; Mitra, Dhrubaditya ; Pandit, Rahul (2011) Persistence problem in two-dimensional fluid turbulence Physical Review Letters, 106 (5). 054501. ISSN 0031-9007
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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.106.05...
Related URL: http://dx.doi.org/10.1103/PhysRevLett.106.054501
Abstract
We present a natural framework for studying the persistence problem in two-dimensional fluid turbulence by using the Okubo-Weiss parameter Λ to distinguish between vortical and extensional regions. We then use a direct numerical simulation of the two-dimensional, incompressible Navier-Stokes equation with Ekman friction to study probability distribution functions (PDFs) of the persistence times of vortical and extensional regions by employing both Eulerian and Lagrangian measurements. We find that, in the Eulerian case, the persistence-time PDFs have exponential tails; by contrast, this PDF for Lagrangian particles, in vortical regions, has a power-law tail with an exponent θ=2.9±0.2.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 72721 |
| Deposited On: | 29 Nov 2011 04:51 |
| Last Modified: | 29 Nov 2011 04:51 |
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