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The numerical control of the motion of a passive particle in a point vortex flow
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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 controls.
Descrição
Palavras-chave
Point vortex Passive tracer Control problem Numerical optimization
Contexto Educativo
Citação
Balsa, Carlos; Gama, Sílvio M.A. (2021). The numerical control of the motion of a passive particle in a point vortex flow. In 2nd International Conference on Advanced Research in Technologies, Information, Innovation and Sustainability, ARTIIS 2022. Santiago de Compostela. p. 148 - 158
Editora
Springer