A Numerical Algorithm for Optimal Control Problems with a Viscous Point Vortex

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Balsa, C (Author) Other; Sílvio Gama (Author) FCUP

Conference proceedings International

Title: CONTROLO 2022

Pages: 726-734

15th APCA International Conference on Automatic Control and Soft Computing (CONTROLO)

Caparica, PORTUGAL, JUL 06-08, 2022

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ISI Web of Knowledge - 0 Citations

Scopus - 726 Citations

Other information

Authenticus ID: P-00W-TST

DOI: 10.1007/978-3-031-10047-5_64

Abstract (EN): The dynamics of passive tracers in flows dominated by perfect or viscous point vortices is a broad area of research that continues to attract the attention of numerous studies. Recently, there has been a particular interest in the application of control theory to these issues. Viscous point vortices are singular solutions of the two-dimensional incompressible Navier-Stokes equations in which the vorticity is concentrated at a finite number of points in the flow domain, each of which carries a certain amount of time-invariant circulation. By definition, a passive tracer is a point vortex with zero circulation. This paper describes some numerical investigations of passive tracers performed by viscous point vortices to find the energy-optimal displacement of a passive particle. The numerical results show the existence of near/quasi-optimal controls.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9