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Dynamics of rigid bodies in a two dimensional incompressible perfect fluid

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGLASS, Olivier
hal.structure.identifierInstitut Fourier [IF ]
dc.contributor.authorLACAVE, Christophe
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
hal.structure.identifierSystems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
dc.contributor.authorMUNNIER, Alexandre
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorSUEUR, Franck
dc.date.accessioned2024-04-04T03:01:33Z
dc.date.available2024-04-04T03:01:33Z
dc.date.issued2019-09
dc.identifier.issn0022-0396
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192912
dc.description.abstractEnWe consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary. The fluid motion is described by the incompressible Euler equations and the motion of the rigid bodies is given by Newton's laws with forces due to the fluid pressure. We prove that, for smooth solutions, Newton's equations can be recast as a second-order ODE for the degrees of freedom of the rigid bodies with coefficients depending on the fluid vorticity and on the circulations around the bodies, but not anymore on the fluid pressure. This reformulation highlights geodesic aspects linked to the added mass effect, gyroscopic features generalizing the Kutta-Joukowski-type lift force, including body-body interactions through the potential flows induced by the bodies' motions, body-body interactions through the irrotational flows induced by the bodies' circulations, and interactions between the bodies and the fluid vorticity.
dc.description.sponsorshipInteraction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
dc.description.sponsorshipEcoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027
dc.description.sponsorshipBords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027
dc.language.isoen
dc.publisherElsevier
dc.title.enDynamics of rigid bodies in a two dimensional incompressible perfect fluid
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jde.2019.04.017
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.identifier.arxiv1902.07082
bordeaux.journalJournal of Differential Equations
bordeaux.page3561-3577
bordeaux.volume267
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue6
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02024104
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02024104v1
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