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Control problem in passive tracer advection by point vortex flow: a case study

2019Comunicação em conferência Acesso aberto
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dc.contributor.authorBalsa, Carlos
dc.contributor.authorGama, Sílvio M.A.
dc.contributor.authorBraz-César, Manuel
dc.date.accessioned2020-06-18T10:44:08Z
dc.date.available2020-06-18T10:44:08Z
dc.date.issued2019
dc.description.abstractVortex dynamics and passive tracers in vortex-dominated flows form a vast area of research that continues to attract the attention of numerous studies. Among these studies, it has emerged in recent times a special interest in the use of control theory applied to vortex dynamics. Point vortices are singular solutions of the two-dimensional incompressible Euler equations. These solutions correspond to the limiting case where the vorticity is completely concentrated on a finite number of spatial points, each with a prescribed strength/circulation. By definition, a passive tracer is a point vortex with zero circulation. We are concerned with the dynamics of a passive tracer advected by two-dimensional point vortex flow. More precisely, we want to drive a passive particle from an initial starting point to a final terminal point, both given a priori, in a given finite time. The flow is originated by the displacement of N viscous point vortices. More precisely, we look for the optimal trajectories that minimize the objective function that corresponds to the energy expended in the control of the trajectories. The restrictions are essentially due to the ordinary differential equations that govern the displacement of the passive particle around the viscous point vortices.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBalsa, Carlos; Gama, Sílvio; Braz-César, M.T. (2019). Control problem in passive tracer advection by point vortex flow: a case study. In 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. Crete, Greece. p. 3495-3509pt_PT
dc.identifier.urihttp://hdl.handle.net/10198/22113
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherECCOMASpt_PT
dc.relation.publisherversionhttps://2019.compdyn.org/proceedings/pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectPoint vortex flowpt_PT
dc.subjectPassive tracerpt_PT
dc.subjectControl problempt_PT
dc.subjectNumerical optimizationpt_PT
dc.titleControl problem in passive tracer advection by point vortex flow: a case studypt_PT
dc.typeconference paper
dspace.entity.typePublication
oaire.citation.conferencePlaceCrete, Greecept_PT
oaire.citation.endPage3509pt_PT
oaire.citation.startPage3495pt_PT
oaire.citation.title7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineeringpt_PT
person.familyNameBalsa
person.familyNameBraz-César
person.givenNameCarlos
person.givenNameManuel
person.identifier1721518
person.identifier.ciencia-idDE1E-2F7A-AAB1
person.identifier.ciencia-id5C10-B764-22E3
person.identifier.orcid0000-0003-2431-8665
person.identifier.orcid0000-0001-5640-0714
person.identifier.ridM-8735-2013
person.identifier.scopus-author-id23391719100
person.identifier.scopus-author-id53663179600
rcaap.rightsopenAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isAuthorOfPublicationd0e5ccff-9696-4f4f-9567-8d698a6bf17d
relation.isAuthorOfPublicationa99f08f6-5b97-4571-a6e4-07dee53fb527
relation.isAuthorOfPublication.latestForDiscoverya99f08f6-5b97-4571-a6e4-07dee53fb527

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