Relative dispersion in fully developed turbulence: Lagrangian statistics in synthetic flows

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 intermittency in agreement with a multifractal description. As a consequence of the Kolmogorov law, the Richardson law for the variance of pair separation is not affected by intermittency corrections.