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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

Many species of fish, as well as biorobotic underwater vehicles, employ body caudal fin propulsion, in which a wave-like body motion culminates in high-amplitude caudal fin oscillations to generate thrust. This study uses high fidelity…

Fluid Dynamics · Physics 2026-03-03 Jung Hee Seo , Ji Zhou , Rajat Mittal

The wavelength of undulatory kinematics of fish is an important parameter to determine their hydrodynamic performance. This study focuses on numerical examination of this feature by reconstructing the real physiological model and kinematics…

There is increasing evidence that fish gain energetic benefits when they swim in a school. The most recent indications of such benefits are a lower tail (or fin) beat at the back of a school and reduced oxygen consumption in schooling fish…

Quantitative Methods · Quantitative Biology 2013-07-30 C. K. Hemelrijk , D. A. P. Reid , H. Hildenbrandt , J. T. Padding

The hydrodynamics of fish swimming depend on the interaction between the undulation of the body and the flapping of the caudal fin. This study develops a computational framework of a Jackfish-inspired swimmer with an independently mounted…

Fluid Dynamics · Physics 2026-01-23 Dev Pradeepkumar Nayak , Muhammad Saif Ullah Khalid , Ali Tarokh

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 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

Natural swimmers usually perform undulations to propel themselves and perform a range of maneuvers. These include various biological species ranging from micro-sized organisms to large-sized fishes that undulate at typical kinematic…

Fluid Dynamics · Physics 2020-07-01 Muhammad Saif Ullah Khalid , Junshi Wang , Haibo Dong , Moubin Liu

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…

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

It has been a long-standing problem how schooling fish optimize their motion by exploiting the vortices shed by the others. A recent experimental study showed that a pair of fish reduce energy consumption by matching the phases of their…

Biological Physics · Physics 2023-12-05 Susumu Ito , Nariya Uchida

Living fish may suddenly encounter upstream obstacles, join the queue of the fish schooling, or detect upstream flow in advance, resulting in interactions with environmental vortices that can be abrupt or develop gradually from an initial…

Fluid Dynamics · Physics 2024-09-27 Peng Han , Dong Zhang , Jun-Duo Zhang , Wei-Xi Huang

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

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 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

Fish perform various propulsive maneuvers while swimming by generating traveling waves along their bodies and producing thrust through tail strokes. Anguilliform swimmers spread motion along the body, while carangiform swimmers' motion is…

Fluid Dynamics · Physics 2025-12-04 Zahra Maleksabet , Maham Kamran , Ali Tarokh , Muhammad Saif Ullah Khalid

Understanding the interplay between hydrodynamics and chemical sensing in aquatic environments is crucial for unraveling biological swimmers' navigation, foraging, and communication strategies. This study investigates the role of kinematics…

Fluid Dynamics · Physics 2025-03-20 Maham Kamran , Amirhossein Fardi , Chengyu Li , Muhammad Saif Ullah Khalid

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 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

In undulatory swimming of fish, muscles contract sequentially along the body to generate a bending wave that pushes against the water and produces thrust. Here, we use a 3D computational fluid dynamics model coupled to the motion of the…

Fluid Dynamics · Physics 2018-12-07 Tingyu Ming , Bowen Jin , Jialei Song , Haoxiang Luo , Ruxu Du , Yang Ding
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