Lie group dynamics of reduced multibody-fluid systems

DOI10.2140/memocs.2021.9.167zbMath1493.70029OpenAlexW3169681162WikidataQ115231007 ScholiaQ115231007MaRDI QIDQ2056160

Dario Zlatar, Marijan Andrić, Zdravko Terze, Viktor Pandža

Publication date: 1 December 2021

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2021.9.167

zbMATH Keywords

Lie groupsfluid-structure interactionmultibody system dynamics

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamics of multibody systems (70E55) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

• The dynamics of a rigid body in potential flow with circulation
• Hamiltonian reduction by stages
• Stability of a bottom-heavy underwater vehicle
• Runge-Kutta methods on Lie groups
• Swimming on limit cycles with nonholonomic constraints
• Lie-group integration method for constrained multibody systems in state space
• The geometry and dynamics of interacting rigid bodies and point vortices
• Locomotion of articulated bodies in a perfect fluid
• Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes
• Low-Speed Aerodynamics
• Symmetric Galerkin Boundary Element Method
• The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
• Optimized flapping wing dynamics via DMOC approach

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