Lagrangian Acceleration Statistics in 2D and 3D Turbulence
In this paper we compare Lagrangian statistical quantities 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 acceleration of a tracer particle along its trajectory. Interpreting the acceleration as a stochastic process 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.
KeywordsMarkov Process Tracer Particle Markov Property Energy Cascade Velocity Increment
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