Optimization of vortex dynamics on a sphere

Balsa, Carlos; Monville-Letu, Raphaelle; Gama, Sílvio M.A.

http://hdl.handle.net/10198/29553

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Authors

Balsa, Carlos

Monville-Letu, Raphaelle

Gama, Sílvio M.A.

Abstract(s)

Vortex points on a sphere can be considered as simplified models of atmospheric circulation. The use of these models allows the simulation of displacements of passive particles advected by vortex flow. In this study, a strategy is proposed to determine the optimal trajectory between two given points on the sphere, taking into account that the displacement occurs due to a vortex flow. It is an alternative numerical strategy to the methods proposed by the theory of optimal control. The original problem is discretized into a constrained optimization problem. The solution of this problem by two alternative numerical optimization methods shows that the strategy is feasible and leads to optimal or quasi-optimal solutions.

Keywords

Vortex Passive particle Spherical motion Control problem Nonlinear optimization problem Interior point Active set

URI

http://hdl.handle.net/10198/29553

Citation

Balsa, Carlos; Monville-Letu, Raphaelle; Gama, Sílvio M.A. (2023). Optimization of vortex dynamics on a sphere. In International Conference on Computer Science, Electronics, and Industrial Engineering (CSEI) 2022. ISSN 2367-3370. 678, p. 201-213