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Exploring Controlled Passive Particle Motion Driven by Point Vortices on a Sphere

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Resumo:This work focuses on optimizing the displacement of a passive particle interacting with vortices located on the surface of a sphere. The goal is to minimize the energy expended during the displacement within a fixed time. The modeling of particle dynamics, whether in Cartesian or spherical coordinates, gives rise to alternative formulations of the identical problem. Thanks to these two versions of the same problem, we can assert that the algorithm, employed to transform the optimal control problem into an optimization problem, is effective, as evidenced by the obtained controls. The numerical resolution of these formulations through a direct approach consistently produces optimal solutions, regardless of the selected coordinate system.
Autores principais:Balsa, Carlos
Outros Autores:Otero-Espinar, M. Victoria; Gama, Sílvio M.A.
Assunto:Vortex Passive Particle Spherical motion Control problem Nonlinear optimization problem Cartesian and spherical coordinates
Ano:2024
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Instituto Politécnico de Bragança
Idioma:inglês
Origem:Biblioteca Digital do IPB

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