An exact relation between Eulerian and Lagrangian velocity increment statistics

Details An exact relation between Eulerian and Lagrangian velocity increment statistics An exact relation between Eulerian and Lagrangian velocity increment statistics

2008-09-25

arxiv.org/abs/0809.4339v2

Physics

Fluid Dynamics

5 pages, 3 figures

Scientific paper

We present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For the case of the inverse cascade regime of two-dimensional turbulence we numerically estimate the transition probabilities involved in this connection. In this context we are able to directly identify the processes leading to strongly non-Gaussian statistics for the Lagrangian velocity increments.

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