Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Department of Physics and Astronomy
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.
Levi TS, Montgomery DC. Velocity field distributions due to ideal line vortices. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5 Pt 2):056311. doi: 10.1103/PhysRevE.63.056311. Epub 2001 Apr 24. PMID: 11415010.
Dartmouth Digital Commons Citation
Levi, Thomas D. and Montgomery, David C., "Velocity Field Distributions Due to Ideal Line Vortices" (2001). Dartmouth Scholarship. 1999.