Synthetic Eulerian Fields and Lagrangian Turbulence
The Lagrangian statistics of relative dispersion in fully developed turbulence is investigated. A scaling range, spanning many decades, is achieved by generating a synthetic velocity field with prescribed Eulerian statistical features. For velocity field obeying Kolmogorov similarity, the Lagrangian statistics is self similar, and in agreement with Richardson argument. In intermittent velocity fields the scaling laws for the Lagrangian statistics are found to depend on Eulerian intermittency. This can be explained in terms of a multi-fractal description. As a consequence of the Kolmogorov law the Richardson law for the variance of pair separation is not affected by intermittency corrections.
KeywordsVelocity Field Velocity Difference Inertial Range Particle Pair Pair Separation
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