Chaotic scattering of two identical point vortex pairs revisited

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dc.contributorVirginia Techen
dc.contributor.authorTophoj, L.en
dc.contributor.authorAref, Hassanen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2013-11-20en
dc.date.accessioned2013-12-04T15:20:24Zen
dc.date.available2013-12-04T15:20:24Zen
dc.date.issued2008-09-01en
dc.description.abstractA new numerical exploration suggests that the motion of two vortex pairs, with constituent vortices all of the same absolute circulation, displays chaotic scattering regimes. The mechanisms leading to chaotic scattering are different from the "slingshot effect" identified by Price [Phys. Fluids A 5, 2479 (1993)] and occur in a different region of the four-vortex phase space. They may, in many cases, be understood by appealing to the solutions of the three-vortex problem obtained by merging two like-signed vortices into one of twice the strength and by assuming that the four-vortex problem has unstable periodic solutions similar to those seen in the thereby associated three-vortex problems. The integrals of motion, linear impulse and Hamiltonian are recast in a form appropriate for vortex pair scattering interactions that provides constraints on the parameters characterizing the outgoing vortex pairs in terms of the initial conditions.en
dc.description.sponsorshipTechnical University of Denmarken
dc.description.sponsorshipDanish National Research Foundationen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationTophøj, Laust and Aref, Hassan, “Chaotic scattering of two identical point vortex pairs revisited,” Phys. Fluids (1994-present), 20, 093605 (2008), DOI:http://dx.doi.org/10.1063/1.2974830en
dc.identifier.doihttps://doi.org/10.1063/1.2974830en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/24412en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/20/9/10.1063/1.2974830en
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectZero total circulationen
dc.subject3-vortex motionen
dc.subjectVorticesen
dc.subjectCollisionen
dc.subjectFluiden
dc.titleChaotic scattering of two identical point vortex pairs revisiteden
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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