Relative dispersion in fully developed turbulence: from Eulerian to Lagrangian statistics in synthetic flows

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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4 pages RevTeX, 4 PostScript figures

Scientific paper

10.1209/epl/i1999-00242-8

The effect of Eulerian intermittency on the Lagrangian statistics of relative dispersion in fully developed turbulence is investigated. A scaling range spanning many decades is achieved by generating a multi-affine synthetic velocity field with prescribed intermittency features. The scaling laws for the Lagrangian statistics are found to depend on Eulerian intermittency in agreement with a multifractal description. As a consequence of the Kolmogorov's law, the Richardson's law for the variance of pair separation is not affected by intermittency corrections.

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