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Autores
Orientador(es)
Resumo(s)
Vortex dynamics and passive tracers in vortex-dominated flows form a vast area of research that continues
to attract the attention of numerous studies. Among these studies, it has emerged in recent times a special
interest in the use of control theory applied to vortex dynamics.
Viscous point vortices are singular solutions of the two-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.
We are concerned with the dynamics of a passive tracer advected by two-dimensional viscous point vortex
flow. More precisely, we want to drive a passive particle from an initial starting point to a final terminal
point, both given a priori, in a given finite time. The flow is originated by the displacement of N viscous
point vortices. More precisely, we look for the optimal trajectories that minimize the objective function that
corresponds to the energy expended in the control of the trajectories. The restrictions are essentially due to
the ordinary differential equations that govern the displacement of the passive particle around the viscous
point vortices.
Descrição
Palavras-chave
Viscous point vortex flow Passive tracer Control problem Numerical optimization
Contexto Educativo
Citação
Balsa, Carlos; Gama, Sílvio M.A. (2017). A direct approach to a control problem in passive tracer advection by viscous point vortex flow. In IO 2017 . Valença - Portugal
Editora
Instituto Politécnico de Viana do Castelo