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arXiv · 0809.4339

An exact relation between Eulerian and Lagrangian velocity increment statistics

O. Kamps·R. Friedrich·R. Grauer
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Abstract

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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O. Kamps, R. Friedrich, R. Grauer. 2008-09-25. An exact relation between Eulerian and Lagrangian velocity increment statistics. https://doi.org/10.1103/physreve.79.066301

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