An exact relation between Eulerian and Lagrangian velocity increment statistics

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.

5 pages, 3 figures

References in corpus (3)

• Multifractal statistics of Lagrangian velocity and acceleration in turbulence
• Lagrangian Velocity Statistics in Turbulent Flows: Effects of Dissipation
• Lagrangian statistics in forced two-dimensional turbulence

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• How tracer particles sample the complexity of turbulence
• Time-irreversibility of the statistics of a single particle in a compressible turbulence
• Eulerian and Lagrangian second-order statistics of superfluid ${}^4$He grid turbulence
• Kolmogorov's Lagrangian similarity law newly assessed
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• Lagrangian Structure Functions in Turbulence: Scaling Exponents and Universality
• Irreversibility and small-scale generation in 3D turbulent flows