Exact relation between Eulerian and Lagrangian velocity increment statistics.
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.
Kamps
O
O
Theoretische Physik, Universität Münster, 48149 Münster, Germany.
Friedrich
R
R
Grauer
R
R