Phys. Rev. E 81, 017301 (2010) [4 pages]Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell modelReceived 2 October 2009; published 13 January 2010 We study pair dispersion in a three-dimensional incompressible high Reynolds number turbulent flow generated by Fourier transforming the dynamics of the Gledzer-Ohkitani-Yamada (GOY) shell model into real space. We show that GOY shell model can successfully reproduce both the Batchelor and the Richardson-Obukhov regimes of turbulent relative dispersion. We also study how the crossover time scales with the initial separations of a particle pair and compare it to the prediction by Batchelor. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.017301
DOI:
10.1103/PhysRevE.81.017301
PACS:
47.27.-i, 05.20.Jj
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