Publication
Exploring Controlled Passive Particle Motion Driven by Point Vortices on a Sphere
| dc.contributor.author | Balsa, Carlos | |
| dc.contributor.author | Otero-Espinar, M. Victoria | |
| dc.contributor.author | Gama, Sílvio M.A. | |
| dc.date.accessioned | 2024-05-09T14:16:09Z | |
| dc.date.available | 2024-05-09T14:16:09Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | 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. | pt_PT |
| dc.description.sponsorship | Carlos Balsa was partially supported by national funds through FCT/MCTES (PIDDAC): CeDRI, UIDB/05757/2020 (DOI: 10.54499/UIDB/05757/2020) and UIDP/05757/2020 (DOI: 10.54499/UIDB/05757/2020); and SusTEC, LA/P/0007/2020 (DOI: 10.54499/LA/P/0007/2020). M. Victoria Otero-Espinar was partially supported by the Ministerio de Ciencia e Innovación, Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00 and the Consellería de Educación, Universidade e Formación Profesional (Xunta de Galicia), grant ED431C 2023/31. Sílvio Gama was partially supported by CMUP, a member of LASI, which is financed by national funds through FCT—Fundação para a Ciência e a Tecnologia, I.P., under the project with reference UIDB/00144/2020. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Balsa, Carlos; Otero-Espinar, M. Victoria; Gama, Sílvio (2024). Exploring Controlled Passive Particle Motion Driven by Point Vortices on a Sphere. Journal Computation. EISSN 2079-3197. 12:2, p. 1-17 | pt_PT |
| dc.identifier.doi | 10.3390/computation12020023 | pt_PT |
| dc.identifier.eissn | 2079-3197 | |
| dc.identifier.uri | http://hdl.handle.net/10198/29740 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | MDPI | pt_PT |
| dc.relation | Research Centre in Digitalization and Intelligent Robotics | |
| dc.relation | Research Centre in Digitalization and Intelligent Robotics | |
| dc.relation | Associate Laboratory for Sustainability and Tecnology in Mountain Regions | |
| dc.relation | Centre of Mathematics of the University of Porto | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Vortex | pt_PT |
| dc.subject | Passive Particle | pt_PT |
| dc.subject | Spherical motion | pt_PT |
| dc.subject | Control problem | pt_PT |
| dc.subject | Nonlinear optimization problem | pt_PT |
| dc.subject | Cartesian and spherical coordinates | pt_PT |
| dc.title | Exploring Controlled Passive Particle Motion Driven by Point Vortices on a Sphere | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Research Centre in Digitalization and Intelligent Robotics | |
| oaire.awardTitle | Research Centre in Digitalization and Intelligent Robotics | |
| oaire.awardTitle | Associate Laboratory for Sustainability and Tecnology in Mountain Regions | |
| oaire.awardTitle | Centre of Mathematics of the University of Porto | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F05757%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F05757%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/LA%2FP%2F0007%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT | |
| oaire.citation.endPage | 17 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Computation | pt_PT |
| oaire.citation.volume | 12 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| 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.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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