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Particle Movement on a Rotating Sphere

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Detalhes bibliográficos
Resumo:Vortex point models are a powerful tool for addressing fundamental dynamics questions related to atmospheric and oceanic flows. This study focuses on the dynamics of a passive particle in a flow induced by two vortex points on the surface of a rotating sphere. The optimal control problem is converted into a nonlinear optimization problem and is solved numerically using a direct approach. The proposed method calculates a quasi-optimal solution, which minimizes the energy generated during the displacement. In general, this energy decreases with the increase in the number of controls. The quasi-optimal solution also depends on the rotation speed of the sphere. If the rotation speed is very high, the particle rotates several times around the sphere before reaching the destination point.
Autores principais:Balsa, Carlos
Outros Autores:Otero-Espinar, M. Victoria; Gama, Sílvio
Assunto:Control Problem Direct Approach Numerical Optimization Point Vortex Rotating Sphere
Ano:2025
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso restrito
Instituição associada:Instituto Politécnico de Bragança
Idioma:inglês
Origem:Biblioteca Digital do IPB
Descrição
Resumo:Vortex point models are a powerful tool for addressing fundamental dynamics questions related to atmospheric and oceanic flows. This study focuses on the dynamics of a passive particle in a flow induced by two vortex points on the surface of a rotating sphere. The optimal control problem is converted into a nonlinear optimization problem and is solved numerically using a direct approach. The proposed method calculates a quasi-optimal solution, which minimizes the energy generated during the displacement. In general, this energy decreases with the increase in the number of controls. The quasi-optimal solution also depends on the rotation speed of the sphere. If the rotation speed is very high, the particle rotates several times around the sphere before reaching the destination point.

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