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Long time memory of Lagrangian acceleration statistics in 2D and 3D turbulence

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Wilczek,  Michael
Max Planck Research Group Theory of Turbulent Flows, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Kamps, O., & Wilczek, M. (2011). Long time memory of Lagrangian acceleration statistics in 2D and 3D turbulence. In 13TH European Turbulence Conference (ETC13): Particles in Turbulence, Transport Processes and Mixing. Bristol, England: IOP Publishing ltd.


Cite as: https://hdl.handle.net/21.11116/0000-0003-E09A-2
Abstract
In this paper we report on a comparison of Lagrangian acceleration
statistics in the direct energy cascade of three-dimensional turbulence
and the corresponding observables for the case of the inverse energy
cascade in two dimensions. We focus on the time scales describing the
memory of the acceleration statistics of a tracer particle. We show that
for both systems the Markov time scale, which is an indicator for the
length of the memory of a stochastic process, is in the order of
magnitude of the Lagrangian integral time scale. We also show that the
decorrelation time for the cross-correlation between the squared
components of the acceleration is larger than the integral time scale.