Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows

Details Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows

1999-08-04

arxiv.org/abs/chao-dyn/9908010v2

Phys. Fluids 12 (2000) 2514-2521.

Physics

Condensed Matter

Other Condensed Matter

LaTeX, 15 pp., 2 eps figures. Some sections have been rewritten; referees' Comments have been included

Scientific paper

10.1063/1.1287924

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.

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