Velocity field distributions due to ideal line vortices

Details Velocity field distributions due to ideal line vortices Velocity field distributions due to ideal line vortices

2001-02-20

arxiv.org/abs/physics/0102058v1

Phys. Rev. E 63 5, 2001.

Physics

Fluid Dynamics

21 pages, 9 figures. To be published in Physical Review E (http://pre.aps.org/) in May 2001

Scientific paper

10.1103/PhysRevE.63.056311

We evaluate numerically the velocity field distributions produced by a bounded, two-dimensional fluid model consisting of a collection of parallel ideal line vortices. We sample at many spatial points inside a rigid circular boundary. We focus on ``nearest neighbor'' contributions that result from vortices that fall (randomly) very close to the spatial points where the velocity is being sampled. We confirm that these events lead to a non-Gaussian high-velocity ``tail'' on an otherwise Gaussian distribution function for the Eulerian velocity field. We also investigate the behavior of distributions that do not have equilibrium mean-field probability distributions that are uniform inside the circle, but instead correspond to both higher and lower mean-field energies than those associated with the uniform vorticity distribution. We find substantial differences between these and the uniform case.

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