Interacting Vortices in a Disk

maximal time

strength vortex 1

strength vortex 2

strength vortex 3

initial position vortex 1
initial position vortex 2
initial position vortex 3

This demonstrates trajectories of three interacting vortices confined within a circle. Vortices are an interesting mechanical system. As opposed to masses or solid bodies, their evolution is described by first-order differential equations in time. Using mirror vortices, it is possible to restrict the motion of the vortices within a disk. G.-C. Yuan, K. Nam., T. M. Antonsen, E. Ott, P. N. Guzdar. Chaos 10, 39 (2000).

Details

maximal time — maximal evolution time
initial position vortex

k

— the initial position of the

k

th vortex
strength vortex

k

— the interaction strength of the

k

th vortex

Permanent Citation

Michael Trott

"Interacting Vortices in a Disk"
http://demonstrations.wolfram.com/InteractingVorticesInADisk/
Wolfram Demonstrations Project
Published: September 28, 2007