Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows
chao-dyn
2009-10-31 v2 Other Condensed Matter
Statistical Mechanics
Chaotic Dynamics
Fluid Dynamics
Abstract
It is shown: 1) that in two-dimensional, incompressible, viscous flows the vorticity-area distribution evolves according to an advection-diffusion equation with a negative, time dependent diffusion coefficient and 2) how to use the vorticity-streamfunction relations, i.e., the so-called scatter-plots, of the quasi-stationary coherent structures in order to quantify the experimentally observed changes of the vorticity distribution moments leading to the formation of these structures.
Keywords
Cite
@article{arxiv.chao-dyn/9908010,
title = {Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows},
author = {H. W. Capel and R. A. Pasmanter},
journal= {arXiv preprint arXiv:chao-dyn/9908010},
year = {2009}
}
Comments
LaTeX, 15 pp., 2 eps figures. Some sections have been rewritten; referees' Comments have been included