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Clustering Analysis of Periodic Point Vortices with the L Function

Makoto Umeki
Journal / Anthology

Journal of the Physical Society of Japan
Year: 2007
Volume: 76
Issue: 4

A motion of point vortices with periodic boundary conditions is studied by using Weierstrass zeta functions. Scattering and recoupling of a vortex pair by a third vortex becomes remarkable when the vortex density is large. Clustering of vortices with various initial conditions is quantitated by the $L$ function used in point process theory in spatial ecology. It is shown that clustering persists if it is initially clustered like an infinite row or a checkered pattern.

*Science > Physics
*Science > Physics > Fluid Mechanics

point vortex, two-dimensional turbulence, L function, point process theory