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

G. Boffetta; A. Celani; A. Crisanti; A. Vulpiani

doi:10.1209/epl/i1999-00242-8

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

G. Boffetta·A. Celani·A. Crisanti·A. Vulpiani

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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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G. Boffetta, A. Celani, A. Crisanti, A. Vulpiani. 1998-03-19. Relative dispersion in fully developed turbulence: from Eulerian to Lagrangian statistics in synthetic flows. https://doi.org/10.1209/epl%2Fi1999-00242-8

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