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

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2022

Autores

Balsa, C (Autor) Outra; Sílvio Gama (Autor) FCUP

Ata de Conferência Internacional

Título: CONTROLO 2022

Páginas: 726-734

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

Caparica, PORTUGAL, JUL 06-08, 2022

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 726 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9