Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows
arXiv:chao-dyn/9908010 · doi:10.1063/1.1287924
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.
LaTeX, 15 pp., 2 eps figures. Some sections have been rewritten; referees' Comments have been included