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Fish schools are ubiquitous in marine life. Although flow interactions are thought to be beneficial for schooling, their exact effects on the speed, energetics, and stability of the group remain elusive. Recent experiments suggest that flow…

Fluid Dynamics · Physics 2021-08-04 Sina Heydari , Eva Kanso

Collective locomotion of swimming and flying animals is fascinating in terms of individual-level fluid mechanics and group-level structure and dynamics. Here we bridge and relate these scales through a model of formation flight that views…

Fluid Dynamics · Physics 2025-06-18 Christiana Mavroyiakoumou , Jiajie Wu , Leif Ristroph

Fish schooling is often modeled with self-propelled particles subject to phenomenological behavioral rules. Although fish are known to sense and exploit flow features, these models usually neglect hydrodynamics. Here, we propose a novel…

Biological Physics · Physics 2018-05-16 Audrey Filella , François Nadal , Clément Sire , Eva Kanso , Christophe Eloy

We derive from first principles a three-dimensional theory of self-propelled particle swarming in a viscous fluid environment. Our model predicts emergent collective behavior that depends critically on fluid opacity, mechanism of…

Soft Condensed Matter · Physics 2026-05-12 Yao-Li Chuang , M. R. D'Orsogna , T. Chou

Fish schools and bird flocks exhibit complex collective dynamics whose self-organization principles are largely unknown. The influence of hydrodynamics on such collectives has been relatively unexplored theoretically, in part due to the…

Soft Condensed Matter · Physics 2019-11-06 Anand U. Oza , Leif Ristroph , Michael J. Shelley

Schooling, an archetype of collective behavior, emerges from the interactions of fish responding to visual and other informative cues mediated by their aqueous environment. In this context, a fundamental and largely unexplored question…

Three-dimensional simulations with fully resolved hydrodynamics are performed to study the collective motion of model swimmers in confinement. We show that certain swimming mechanisms can lead to traveling wave-like collective motion even…

Soft Condensed Matter · Physics 2016-04-20 Norihiro Oyama , John Jairo Molina , Ryoichi Yamamoto

A novel model of the wake of swimming fish is developed and incorporated into a dynamical model of a fish school to explore the effect of hydrodynamics on the emergent behavior in schooling fish. The model incorporates well-established…

Fluid Dynamics · Physics 2025-07-11 Ji Zhou , Jung-Hee Seo , Rajat Mittal

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

Microorganisms living in microfluidic environments often form multi-species swarms, where they can leverage collective motions to achieve enhanced transport and spreading. Nevertheless, there is a general lack of physical understandings of…

Fluid Dynamics · Physics 2022-02-14 Bryce Palmer , Wen Yan , Tong Gao

Suspensions of swimming micro-organisms are known to undergo intricate collective dynamics as a result of hydrodynamic and collision interactions. Micro-swimmers, such as bacteria and micro-algae, naturally live and have evolved in complex…

Fluid Dynamics · Physics 2025-10-31 Yasser Almoteri , Enkeleida Lushi

We theoretically describe the dynamics of swimmer populations confined in thin liquid films. We first demonstrate that hydrodynamic interactions between confined swimmers only depend on their shape and are independent of their specific…

Soft Condensed Matter · Physics 2015-06-11 Tommaso Brotto , Jean-Baptiste Caussin , Eric Lauga , Denis Bartolo

We examine theoretically the flow interactions and forward flight dynamics of tandem or in-line flapping wings. Two wings are driven vertically with prescribed heaving-and-plunging motions, and the horizontal propulsion speeds and positions…

Fluid Dynamics · Physics 2026-05-13 Fang Fang , Christiana Mavroyiakoumou , Leif Ristroph , Michael J. Shelley

We investigate theoretically the collective dynamics of a suspension of low Reynolds number swimmers that are confined to two dimensions by a thin fluid film. Our model swimmer is characterized by internal degrees of freedom which locally…

Biological Physics · Physics 2015-05-19 M. Leoni , T. B. Liverpool

Systems of motile microorganisms exhibit a multitude of collective phenomena, including motility-induced phase separation and turbulence. Sensing of the environment and adaptation of movement plays an essential role in the emergent…

Soft Condensed Matter · Physics 2024-06-26 Segun Goh , Elmar Westphal , Roland G. Winkler , Gerhard Gompper

Self-propelled particles with hydrodynamic interactions (microswimmers) have previously been shown to produce long-range ordering phenomena. Many theoretical explanations for these collective phenomena are connected to instabilities in the…

Soft Condensed Matter · Physics 2017-05-03 Yuzhou Qian , Peter R. Kramer , Patrick T. Underhill

Fish schools are able to display a rich variety of collective states and behavioural responses when they are confronted to threats. However a school's response to perturbations may be different depending on its collective state. Here we use…

Quantitative Methods · Quantitative Biology 2015-02-04 Daniel S. Calovi , Ugo Lopez , Paul Schuhmacher , Hugues Chaté , Clément Sire , Guy Theraulaz

Fish in schooling formations navigate complex flow-fields replete with mechanical energy in the vortex wakes of their companions. Their schooling behaviour has been associated with evolutionary advantages including collective energy…

Fluid Dynamics · Physics 2022-06-08 Siddhartha Verma , Guido Novati , Petros Koumoutsakos

While a rich variety of self-propelled particle models propose to explain the collective motion of fish and other animals, rigorous statistical comparison between models and data remains a challenge. Plausible models should be flexible…

Quantitative Methods · Quantitative Biology 2017-04-28 Maksym Romenskyy , James E. Herbert-Read , Ashley J. W. Ward , David J. T. Sumpter

We present the hydrodynamic theory of coherent collective motion ("flocking") at a solid-liquid interface, and many of its predictions for experiment. We find that such systems are stable, and have long-range orientational order, over a…

Soft Condensed Matter · Physics 2022-01-05 Niladri Sarkar , Abhik Basu , John Toner
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