Relative dispersion in fully developed turbulence: from Eulerian to Lagrangian statistics in synthetic flows
G. Boffetta, A. Celani, A. Crisanti, A. Vulpiani
Abstract
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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