Statistics of small scale vortex filaments in turbulence

L. Biferale, Andrea Scagliarini, F. Toschi

Research output: Book/ReportReportAcademic

Abstract

We study the statistical properties of coherent, small-scales, filamentary-like structures in Turbulence. In order to follow in time such complex spatial structures, we integrate Lagrangian and Eulerian measurements by seeding the flow with light particles. We show that light particles preferentially concentrate in small filamentary regions of high persistent vorticity (vortex filaments). We measure the fractal dimension of the attracting set and the probability that two particles do not separate for long time lapses. We fortify the signal-to-noise ratio by exploiting multi-particles correlations on the dynamics of bunches of particles. In doing that, we are able to give a first quantitative estimation of the vortex-filaments life-times, showing the presence of events as long as the integral correlation time. The same technique introduced here could be used in experiments as long as one is capable to track clouds of bubbles in turbulence for a relatively long period of time, at high Reynolds numbers; shading light on the dynamics of small-scale vorticity in realistic turbulent flows.
Original languageEnglish
PublisherarXiv.org
Number of pages5
Publication statusPublished - 2009

Publication series

NamearXiv.org [physics.flu-dyn]
Volume0908.0205

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    Biferale, L., Scagliarini, A., & Toschi, F. (2009). Statistics of small scale vortex filaments in turbulence. (arXiv.org [physics.flu-dyn]; Vol. 0908.0205). arXiv.org.