Degond2019_Article_CoupledSelf-OrganizedHydrodyna.pdf (1.12 MB)
Coupled self-organized hydrodynamics and stokes models for suspensions of active particles
Version 2 2023-06-12, 08:59
Version 1 2023-06-09, 16:38
journal contribution
posted on 2023-06-12, 08:59 authored by Pierre Degond, Sara Merino-Aceituno, Fabien Vergnet, Hui YuWe derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes selfpropelled agents interacting through alignment. It provides a phenomenological description of hydrodynamic interactions between agents at high density. Stokes equations describe a low Reynolds number fluid. These two dynamics are coupled by the interaction between the agents and the fluid. The fluid contributes to rotating the particles through Jeffery’s equation. Particle self-propulsion induces a force dipole on the fluid. After coarse-graining we obtain a coupled Self-Organised Hydrodynamics (SOH)-Stokes system. We perform a linear stability analysis for this system which shows that both pullers and pushers have unstable modes. We conclude by providing extensions of the Vicsek-Stokes model including short-distance repulsion, finite particle inertia and finite Reynolds number fluid regime.
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Publication status
- Published
File Version
- Published version
Journal
Journal of Mathematical Fluid MechanicsISSN
1422-6928Publisher
SpringerExternal DOI
Issue
6Volume
21Page range
1-36Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-01-28First Open Access (FOA) Date
2019-04-08First Compliant Deposit (FCD) Date
2019-01-25Usage metrics
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