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arXiv · 1002.0755

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

Sagar Chakraborty·Mogens H. Jensen·Bo S. Madsen
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Abstract

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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Sagar Chakraborty, Mogens H. Jensen, Bo S. Madsen. 2010-02-03. Three-dimensional turbulent relative dispersion by the Gledzer-Ohkitani-Yamada shell model. https://doi.org/10.1103/physreve.81.017301

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