Applications of Vortex Dynamics in Multiply-connected Domains

Thursday, June 6, 2013 - 3:45pm - 4:30pm
Keller 3-180
Rhodri Nelson (Hokkaido University)
Some brief examples of systems where the motion of vortices play an important role in the dynamics will first be discussed to motivate the remainder material to be presented. Following this, the equations of motion governing the motion of point vortices in multiply-connected domains (for inviscid, incompressible fluids) will be introduced. A method for numerically calculating equilibria in multiply connected domains, applied to a Kasper Wing configuration, will then be presented and various properties of the flow (for example, the lift on the airfoils) will be analyzed. Time permitting, the motion of finite patches of constant vorticity in multiply-connected domains will then be introduced and used to study the robustness of the Kasper wing equilibria.
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