Publicação
A numerical algorithm for optimal control problems with a viscous point vortex
| Resumo: | 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. |
|---|---|
| Autores principais: | Balsa, Carlos |
| Outros Autores: | Gama, Sílvio M.A. |
| Assunto: | Viscous point vortex Passive tracer Control problem Numerical optimization |
| Ano: | 2022 |
| País: | Portugal |
| Tipo de documento: | comunicação em conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Politécnica de Bragança |
| Idioma: | inglês |
| Origem: | Biblioteca Digital da UPB |
| _version_ | 1877782527882559488 |
|---|---|
| author | Balsa, Carlos |
| author2 | Gama, Sílvio M.A. |
| author2_role | author |
| author_facet | Balsa, Carlos Gama, Sílvio M.A. |
| author_role | author |
| contributor_name_str_mv | Biblioteca Digital da UPB |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Balsa, Carlos\",\"Person.identifier.cienciaID\":\"DE1E-2F7A-AAB1\",\"Person.identifier.orcid\":\"0000-0003-2431-8665\",\"Person.identifier.researcherID\":\"M-8735-2013\",\"Person.identifier.scopusAuthorID\":\"23391719100\"},{\"Person.name\":\"Gama, Sílvio M.A.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Biblioteca Digital da UPB |
| datacite.creators.creator.creatorName.fl_str_mv | Balsa, Carlos Gama, Sílvio M.A. |
| datacite.date.Accepted.fl_str_mv | 2022-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2023-02-28T16:02:47Z |
| datacite.date.embargoed.fl_str_mv | 2023-02-28T16:02:47Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Viscous point vortex Passive tracer Control problem Numerical optimization |
| datacite.titles.title.fl_str_mv | A numerical algorithm for optimal control problems with a viscous point vortex |
| dc.contributor.none.fl_str_mv | Biblioteca Digital da UPB |
| dc.creator.none.fl_str_mv | Balsa, Carlos Gama, Sílvio M.A. |
| dc.date.Accepted.fl_str_mv | 2022-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2023-02-28T16:02:47Z |
| dc.date.embargoed.fl_str_mv | 2023-02-28T16:02:47Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10198/27322 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer |
| dc.rights.cclincense.fl_str_mv | http://creativecommons.org/licenses/by/4.0/ |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Viscous point vortex Passive tracer Control problem Numerical optimization |
| dc.title.fl_str_mv | A numerical algorithm for optimal control problems with a viscous point vortex |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_5794 |
| description | 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. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | conferencePaper |
| fulltext.url.fl_str_mv | https://bibliotecadigital.unipb.pt/bitstreams/0e88aaf0-93fb-4e95-805d-44c440841fe2/download |
| funder_facet_str_mv | FCT{{{_:::_}}}Fundação para a Ciência e a Tecnologia |
| funding.funder.alternateName_str_mv | FCT |
| funding.funder.identifier_str_mv | http://doi.org/10.13039/501100001871 |
| funding.funder.name_str_mv | Fundação para a Ciência e a Tecnologia |
| funding.identifier_str_mv | UIDB/00144/2020 |
| funding.name_str_mv | 6817 - DCRRNI ID |
| funding_str_mv | UIDB/00144/2020 info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT |
| id | ipb_ef8812e2121c90dba03df20ca3da81b2 |
| identifier.url.fl_str_mv | http://hdl.handle.net/10198/27322 |
| inst_facet_str | urn:organizationAcronym:unipb{{{_:::_}}}Universidade Politécnica de Bragança |
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| institution | Universidade Politécnica de Bragança |
| instname_str | Universidade Politécnica de Bragança |
| language | eng |
| network_acronym_str | ipb |
| network_name_str | Biblioteca Digital da UPB |
| oai_identifier_str | oai:bibliotecadigital.unipb.pt:10198/27322 |
| organization_str_mv | urn:organizationAcronym:unipb |
| person_str_mv | Balsa, Carlos Balsa, Carlos https://www.ciencia-id.pt/DE1E-2F7A-AAB1 DE1E-2F7A-AAB1 http://orcid.org/0000-0003-2431-8665 0000-0003-2431-8665 Gama, Sílvio M.A. |
| publishDate | 2022 |
| publisher.none.fl_str_mv | Springer |
| repo_facet_str | urn:repositoryAcronym:ipb{{{_:::_}}}Biblioteca Digital da UPB |
| reponame_str | Biblioteca Digital da UPB |
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| service_str_mv | urn:repositoryAcronym:ipb |
| spelling | engSpringerpt_PTThe 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.application/pdfpt_PTA numerical algorithm for optimal control problems with a viscous point vortexPersonalBalsa, CarlosDSpacehttp://dspace.org/items/d0e5ccff-9696-4f4f-9567-8d698a6bf17dDSpacehttp://dspace.org/items/d0e5ccff-9696-4f4f-9567-8d698a6bf17dBalsaCarlosCiência IDhttps://www.ciencia-id.ptDE1E-2F7A-AAB1ORCIDhttp://orcid.org0000-0003-2431-8665Researcher IDhttps://www.researcherid.comM-8735-2013Scopus Author IDhttps://www.scopus.com23391719100Gama, Sílvio M.A.HostingInstitutionOrganizationalBiblioteca Digital da UPBe-mailmailto:dspace@unipb.ptdspace@unipb.ptDOIIsPartOf10.1007/978-3-031-10047-5_642023-02-28T16:02:47Z20222022-01-01T00:00:00ZHandlehttp://hdl.handle.net/10198/27322http://purl.org/coar/access_right/c_abf2open accessViscous point vortexPassive tracerControl problemNumerical optimization806980 bytesFundação para a Ciência e a TecnologiaCentre of Mathematics of the University of Portoinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PTUIDB/00144/20206817 - DCRRNI IDCrossref Funder IDhttp://doi.org/10.13039/501100001871other research producthttp://purl.org/coar/resource_type/c_5794conference paper2022http://creativecommons.org/licenses/by/4.0/http://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://bibliotecadigital.unipb.pt/bitstreams/0e88aaf0-93fb-4e95-805d-44c440841fe2/download15th APCA International Conference on Automatic Control and Soft Computing, CONTROLO 2022726734Caparica |
| spellingShingle | A numerical algorithm for optimal control problems with a viscous point vortex Balsa, Carlos Viscous point vortex Passive tracer Control problem Numerical optimization |
| status | SINGLETON |
| subject.fl_str_mv | Viscous point vortex Passive tracer Control problem Numerical optimization |
| title | A numerical algorithm for optimal control problems with a viscous point vortex |
| title_full | A numerical algorithm for optimal control problems with a viscous point vortex |
| title_fullStr | A numerical algorithm for optimal control problems with a viscous point vortex |
| title_full_unstemmed | A numerical algorithm for optimal control problems with a viscous point vortex |
| title_short | A numerical algorithm for optimal control problems with a viscous point vortex |
| title_sort | A numerical algorithm for optimal control problems with a viscous point vortex |
| topic | Viscous point vortex Passive tracer Control problem Numerical optimization |
| topic_facet | Viscous point vortex Passive tracer Control problem Numerical optimization |
| url | http://hdl.handle.net/10198/27322 |
| visible | 1 |