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Journal Article

Lagrangian particle statistics in turbulent flows from a simple vortex model

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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

Wilczek, M., Jenko, F., & Friedrich, R. (2008). Lagrangian particle statistics in turbulent flows from a simple vortex model. Physical Review E, 77: 056301. doi:10.1103/PhysRevE.77.056301.


Cite as: https://hdl.handle.net/21.11116/0000-0003-E00F-0
Abstract
The statistics of Lagrangian particles in turbulent flows is considered in the framework of a simple vortex
model. Here, the turbulent velocity field is represented by a temporal sequence of Burgers vortices of different
circulation, strain, and orientation. Based on suitable assumptions about the vortices’ statistical properties, the
statistics of the velocity increments is derived. In particular, the origin and nature of small-scale intermittency
in this model is investigated both numerically and analytically. We critically compare our results to experimental studies.