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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

Researchers have long debated which spatial arrangements and swimming synchronizations are beneficial for the hydrodynamic performance of fish in schools. In our previous work (Seo and Mittal, Bioinsp. Biomim., Vol. 17, 066020, 2022), we…

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

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

Fish schools are capable of simultaneous linear acceleration. To reveal the underlying hydrodynamic mechanism, we numerically investigate how Reynolds number $ Re = 1000 - 2000 $, Strouhal number $ St = 0.2 - 0.7 $ and wavelength $ \lambda…

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

Fish swimming style and schooling behaviour are two important aspects of underwater locomotion. How swimming style affects fish schooling is investigated by a representative problem setup consisting of two tethered NACA0012 hydrofoils…

Fish often travel in highly organized schools. One of the most quoted functions of these configurations is energy savings. Here, we verified the hypothesis and explored the mechanism through series of experiments on "schooling" robotic…

Biological Physics · Physics 2015-08-14 Liang Li , Lichao Jia , Guangming Xie

Fish display remarkable swimming capabilities through the coordinated interaction of the body and caudal fin, yet the potential role of a passively pitching tail in enhancing hydrodynamic performance remains unresolved. In this work, we…

Fluid Dynamics · Physics 2025-11-06 Dev Pradeepkumar Nayak , Ali Tarokh , Muhammad Saif Ullah Khalid

Fish typically swim by periodic bending of their bodies. Bending seems to follow a universal rule; it occurs at about one-third from the posterior end of the fish body with a maximum bending angle of about $30^o$. However, the hydrodynamic…

Fluid Dynamics · Physics 2021-12-22 Haotian Hang , Sina Heydari , John H. Costello , Eva Kanso

We establish through numerical simulation conditions for optimal undulatory propulsion for a single fish, and for a pair of hydrodynamically interacting fish, accounting for linear and angular recoil. We first employ systematic 2D…

Fluid Dynamics · Physics 2017-04-05 Audrey P. Maertens , Amy Gao , Michael S. Triantafyllou

We study the fluid dynamics of two fish-like bodies with synchronised swimming patterns. Our studies are based on two-dimensional simulations of viscous incompressible flows. We distinguish between motion patterns that are externally…

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular if there is a danger. Is such a behaviour…

Populations and Evolution · Quantitative Biology 2017-01-04 Usama Kadri , Franz Brümmer , Anan Kadri

Three-dimensional experiments are presented on a school of three pitching hydrofoils. Two side-by-side leader foils maintain the same relative positions while the location of a third follower foil is varied. Force and flow measurements…

Fluid Dynamics · Physics 2026-04-23 Pedro C. Ormonde , Yuanhang Zhu , Daniel Quinn , Keith W Moored

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…

We present new unconstrained simulations and constrained experiments of a pair of pitching hydrofoils in a leader-follower in-line arrangement. Free-swimming simulations of foils with $matched$ pitching amplitudes show self-organization…

Fluid Dynamics · Physics 2024-10-04 Tianjun Han , Amin Mivehchi , Seyedali Seyedmirzaei Sarraf , Keith W. Moored

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

This study examines the impact of in-phase schooling on the hydrodynamic efficiency during linear acceleration in a simplified model using two undulating NACA0012 hydrofoils arranged in phalanx formation as a minimal representation of a…

Fluid Dynamics · Physics 2023-12-13 Zhonglu Lin , Dongfang Liang , Yu Zhang

We present new constrained and free-swimming experiments and simulations of a pair of pitching hydrofoils interacting in a minimal school. The hydrofoils have an out-of-phase synchronization and they are varied through in-line, staggered,…

Fluid Dynamics · Physics 2023-08-01 Pedro Costa Ormonde , Melike Kurt , Amin Mivehchi , Keith W. Moored

The acoustic properties of a fish school have been modelled using a cloud of bubbles. Similar to how bubble clouds present a collective monopole mode, a fish school also shows a collective breathing mode in which the whole school resonates…

Biological Physics · Physics 2017-07-19 F. Meseguer , F. Ramiro-Manzano

We investigate the hydrodynamic interactions between microorganisms swimming at low Reynolds number. By considering simple model swimmers, and combining analytic and numerical approaches, we investigate the time-averaged flow field around a…

Soft Condensed Matter · Physics 2007-05-25 C. M. Pooley , G. P. Alexander , J. M. Yeomans
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