Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell model

Details Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell model Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell model

2010-02-03

arxiv.org/abs/1002.0755v1

Phys. Rev. E 81, 017301 (2010)

Physics

Fluid Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.81.017301

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.

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