Utilize este identificador para referenciar este registo: http://hdl.handle.net/10198/16918
Título: A numerical approach to a control problem in passive tracer advection by point vortex flow
Autor: Balsa, Carlos
Gama, Sílvio
Data: 2015
Citação: Balsa, Carlos; Gama, Sílvio (2015) - A numerical approach to a control problem in passive tracer advection by point vortex flow. In EPCO'015 - Encontro Português de Controlo Ótimo 2015. Guimarães
Resumo: Point vortices are singular solutions of the twe>-dimensional incompressible Euler equations. These solutions correspond to the limiting case where the vorticity is completely concentrated on a finite number of spatial points each with a prescribed strength/ circulation. By definition, a passive tracer is a point vortex with zero circulation. ln our case, we consider the advection of one passive tracer by N point vortices in the unbounded plane. ln this context, we present the formulation of certain number of control problems, as well as the results of some numerical experiments showing the existence of optimal controls for the cases of N = 1, N = 2, N = 3 and N = 4 vortices. More precisely, we look for the optimal trajectories that minimize the objective function that correspond to the energy expended in the control of the trajectories. The restrictions are due to (i) the ordinary differential equations that govern the displacement of the passive particle around the point vortices, (ii) the available time T togo from the initial position zo to the final destination z1, and (iii) the maximum absolute value Um"" that is imposed on the control variables. The latter consist in staircase controls, i.e. the control is written as a finite linear combination of characterisc functions on the real interval.
Peer review: yes
URI: http://hdl.handle.net/10198/16918
Aparece nas colecções:ESTiG - Resumos em Proceedings Não Indexados à WoS/Scopus

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