Velocity field distributions due to ideal line vortices
Abstract
We evaluate numerically the velocity field distributions produced by a bounded, twodimensional 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 ``nearestneighbor'' 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 nonGaussian highvelocity ``tail'' on an otherwise Gaussian distribution function for the Eulerian velocity field. We also investigate the behavior of distributions that do not have equilibrium meanfield probability distributions that are uniform inside the circle, but instead correspond to both higher and lower meanfield energies than those associated with the uniform vorticity distribution. We find substantial differences between these and the uniform case.
 Publication:

Physical Review E
 Pub Date:
 May 2001
 DOI:
 10.1103/PhysRevE.63.056311
 arXiv:
 arXiv:physics/0102058
 Bibcode:
 2001PhRvE..63e6311L
 Keywords:

 47.32.Cc;
 47.27.Eq;
 47.50.+d;
 Physics  Fluid Dynamics;
 Physics  Plasma Physics
 EPrint:
 21 pages, 9 figures. To be published in Physical Review E (http://pre.aps.org/) in May 2001