Hamiltonian dynamics of several rigid bodies interacting with point vortices

DOI10.1007/s00332-014-9192-yzbMath1291.76074arXiv1302.2560OpenAlexW3106538440MaRDI QIDQ2450882

Steffen Weißmann

Publication date: 23 May 2014

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2560

zbMATH Keywords

fluid-structure interactionpoint vorticesvariational integratorcotangent bundle reduction

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Momentum maps; symplectic reduction (53D20)

Cites Work

• Unnamed Item
• A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects
• Hamiltonian reduction by stages
• Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape
• An integrability of the problem on motion of cylinder and vortex in the ideal fluid
• The geometry and dynamics of interacting rigid bodies and point vortices
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes
• Vorticity and Incompressible Flow
• Discrete mechanics and variational integrators
• Point vortex dynamics: A classical mathematics playground
• Dynamic interaction of point vortices and a two-dimensional cylinder
• Vortex Dynamics
• Hydrodynamically coupled rigid bodies
• The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
• On the Motion of Vortices in Two Dimensions
• The \(N\)-vortex problem. Analytical techniques