Persistence Problem in Two-Dimensional Fluid Turbulence

Details Persistence Problem in Two-Dimensional Fluid Turbulence Persistence Problem in Two-Dimensional Fluid Turbulence

2010-09-08

arxiv.org/abs/1009.1494v2

Phys.Rev.Lett.106:054501,2011

Physics

Fluid Dynamics

consistent with the published version

Scientific paper

10.1103/PhysRevLett.106.054501

We present a natural framework for studying the persistence problem in two-dimensional fluid turbulence by using the Okubo-Weiss parameter $\Lambda$ to distinguish between vortical and extensional regions. We then use a direct numerical simulation (DNS) 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 $\theta=2.9\pm0.2$.

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