A numerical algorithm for optimal control problems with a viscous point vortex

Balsa, Carlos; Gama, Sílvio M.A.

http://hdl.handle.net/10198/27322

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Authors

Balsa, Carlos

Gama, Sílvio M.A.

Abstract(s)

The dynamics of passive tracers in flows dominated by perfect or viscous point vortices is a broad area of research that continues to attract the attention of numerous studies. Recently, there has been a particular interest in the application of control theory to these issues. Viscous point vortices are singular solutions of the two-dimensional incompressible Navier-Stokes equations in which the vorticity is concentrated at a finite number of points in the flow domain, each of which carries a certain amount of time-invariant circulation. By definition, a passive tracer is a point vortex with zero circulation. This paper describes some numerical investigations of passive tracers performed by viscous point vortices to find the energy-optimal displacement of a passive particle. The numerical results show the existence of near/quasi-optimal controls.

Keywords

Viscous point vortex Passive tracer Control problem Numerical optimization

URI

http://hdl.handle.net/10198/27322

Citation

Balsa, Carlos; Gama, Sílvio (2022). A numerical algorithm for optimal control problems with a viscous point vortex. In 15th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2022. Caparica