Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
MUNNIER, Alexandre
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
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Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
MUNNIER, Alexandre
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
< Reduce
Institut Élie Cartan de Lorraine [IECL]
Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
Language
en
Article de revue
This item was published in
Journal of Differential Equations. 2019-09, vol. 267, n° 6, p. 3561-3577
Elsevier
English Abstract
We 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 ...Read more >
We 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.Read less <
ANR Project
Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
Ecoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027
Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027
Ecoulements avec singularités : couches limites, filaments de vortex, interaction vague-structure - ANR-18-CE40-0027
Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027
Origin
Hal imported