| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 203.7 KB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
This work reports numerical explorations in the advection of one passive tracer by point vortices
living in the unbounded plane. The main objective is to find the energy-optimal displacement
of one passive particle (point vortex with zero circulation) surrounded by N point vortices. The
direct formulation of the corresponding control problems is presented for the case of N = 1, N = 2,
N = 3 and N = 4 vortices. 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 to go from the initial position z0 to the final destination zf; and (iii) the maximum absolute
value umax that is imposed on the control variables. The resulting optimization problems are
solved numerically. The numerical results show the existence of nearly/quasi-optimal control.
Descrição
Palavras-chave
Contexto Educativo
Citação
Balsa, Carlos; Gama, Sílvio (2020). The numerical control of the motion of a passive particle in a point vortex flow. In 14th International Conference on Automatic Control and Soft-Computing CONTROLO’2020. Bragança