Publication
The numerical control of the motion of a passive particle in a point vortex flow
| dc.contributor.author | Balsa, Carlos | |
| dc.contributor.author | Gama, Sílvio M.A. | |
| dc.date.accessioned | 2023-05-10T08:49:35Z | |
| dc.date.available | 2023-05-10T08:49:35Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This work reports numerical explorations in the advection of one passive tracer by point vortices living in the unbounded plane. The main objective is to find the energy-optimal displacement of one passive particle (point vortex with zero circulation) surrounded by N point vortices. The direct formulation of the corresponding control problems is presented for the case of N = 1, N = 2, N = 3 and N = 4 vortices. The restrictions are due to (i) the ordinary differential equations that govern the displacement of the passive particle around the point vortices, (ii) the available time T to go from the initial position z0 to the final destination zf; and (iii) the maximum absolute value umax that is imposed on the control variables. The resulting optimization problems are solved numerically. The numerical results show the existence of nearly/quasi-optimal control. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Balsa, Carlos; Gama, Sílvio (2020). The numerical control of the motion of a passive particle in a point vortex flow. In 14th International Conference on Automatic Control and Soft-Computing CONTROLO’2020. Bragança | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10198/28261 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.title | The numerical control of the motion of a passive particle in a point vortex flow | pt_PT |
| dc.type | conference object | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | Bragança | pt_PT |
| oaire.citation.startPage | 62 | pt_PT |
| oaire.citation.title | 14th International Conference on Automatic Control and Soft-Computing CONTROLO’2020 | pt_PT |
| 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 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | conferenceObject | pt_PT |
| relation.isAuthorOfPublication | d0e5ccff-9696-4f4f-9567-8d698a6bf17d | |
| relation.isAuthorOfPublication.latestForDiscovery | d0e5ccff-9696-4f4f-9567-8d698a6bf17d |