Particle Movement on a Rotating Sphere

Balsa, Carlos; Otero-Espinar, M. Victoria; Gama, Sílvio

http://hdl.handle.net/10198/36223

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Autores

Balsa, Carlos

Otero-Espinar, M. Victoria

Gama, Sílvio

Resumo(s)

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.

Palavras-chave

Control Problem Direct Approach Numerical Optimization Point Vortex Rotating Sphere

URI

http://hdl.handle.net/10198/36223

Citação

lsa, C.; Otero-Espinar, V.; Gama, S. (2023) An Approach to Environmental Cleanup through Conceptual Autonomous Technology . In Proceedings of TEEM 2023. Springer Nature. ISNN 2196-4963, p. 582-591.