resumo
- 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.