title: Persistence problem in two-dimensional fluid turbulence.
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.
authors.affiliation: Department of Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands. p.perlekar@tue.nl
authors.forename: Prasad
authors.initials: P
authors.lastname: Perlekar
authors.forename: Samriddhi Sankar
authors.initials: SS
authors.lastname: Ray
authors.forename: Dhrubaditya
authors.initials: D
authors.lastname: Mitra
authors.forename: Rahul
authors.initials: R
authors.lastname: Pandit