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

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Balsa, C (Author) Other; Otero-Espinar, MV (Author) Other; Sílvio Gama (Author) FCUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: COMPUTATION

Vol. 12

Final page: 23

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-010-3V8

DOI: 10.3390/computation12020023

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17