A numerical algorithm for optimal control problems with a viscous point vortex

Balsa, Carlos; Gama, Sílvio M.A.

Publication

A numerical algorithm for optimal control problems with a viscous point vortex

2022Conference paper

dc.contributor.author	Balsa, Carlos
dc.contributor.author	Gama, Sílvio M.A.
dc.date.accessioned	2023-02-28T16:02:47Z
dc.date.available	2023-02-28T16:02:47Z
dc.date.issued	2022
dc.description.abstract	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.	pt_PT
dc.description.sponsorship	SG was partially supported by CMUP, which is financed by national funds through FCT (Fundação para a Ciência e a Tecnologia, I.P.) within the framework of the project ref. UIDB/00144/2020; by project MAGIC POCI-01-0145-FEDER-032485, funded by FEDER via COM- PETE 2020 - POCI and by FCT/MCTES via PIDDAC; and by project SNAP NORTE- 01-0145- FEDER-000085, co-financed by the European Regional Development Fund (ERDF) through the North Portugal Regional Operational Programme (NORTE2020) under Portugal 2020 Partnership Agreement.
dc.description.version	info:eu-repo/semantics/publishedVersion	pt_PT
dc.identifier.citation	Balsa, Carlos; Gama, Sílvio (2022). A numerical algorithm for optimal control problems with a viscous point vortex. In 15th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2022. Caparica	pt_PT
dc.identifier.doi	10.1007/978-3-031-10047-5_64	pt_PT
dc.identifier.uri	http://hdl.handle.net/10198/27322
dc.language.iso	eng	pt_PT
dc.peerreviewed	yes	pt_PT
dc.publisher	Springer	pt_PT
dc.relation	Centre of Mathematics of the University of Porto
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	Viscous point vortex	pt_PT
dc.subject	Passive tracer	pt_PT
dc.subject	Control problem	pt_PT
dc.subject	Numerical optimization	pt_PT
dc.title	A numerical algorithm for optimal control problems with a viscous point vortex	pt_PT
dc.type	conference paper
dspace.entity.type	Publication
oaire.awardTitle	Centre of Mathematics of the University of Porto
oaire.awardURI	info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT
oaire.citation.conferencePlace	Caparica	pt_PT
oaire.citation.endPage	734	pt_PT
oaire.citation.startPage	726	pt_PT
oaire.citation.title	15th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2022	pt_PT
oaire.fundingStream	6817 - DCRRNI ID
person.familyName	Balsa
person.givenName	Carlos
person.identifier	1721518
person.identifier.ciencia-id	DE1E-2F7A-AAB1
person.identifier.orcid	0000-0003-2431-8665
person.identifier.rid	M-8735-2013
person.identifier.scopus-author-id	23391719100
project.funder.identifier	http://doi.org/10.13039/501100001871
project.funder.name	Fundação para a Ciência e a Tecnologia
rcaap.rights	restrictedAccess	pt_PT
rcaap.type	conferenceObject	pt_PT
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