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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

In this paper, we address a crucial point regarding the description of moderate to high Reynolds numbers aquatic swimmers. For decades, swimming animals have been classified in two different families of propulsive mechanisms based on the…

Fluid Dynamics · Physics 2017-10-03 Miguel Piñeirua , Ramiro Godoy-Diana , Benjamin Thiria

Undulatory locomotion, a gait in which thrust is produced in the opposite direction of a traveling wave of body bending, is a common mode of propulsion used by animals in fluids, on land, and even within sand. As such it has been an…

Biological Physics · Physics 2013-06-11 Yang Ding , Sarah S. Sharpe , Kurt Wiesenfeld , Daniel I. Goldman

Fishes, cetaceans, and many other aquatic vertebrates undulate their bodies to propel themselves through water. Swimming requires an intricate interplay between sensing the environment, making decisions, controlling internal dynamics, and…

Fluid Dynamics · Physics 2026-01-26 L. fu , S. Israilov , J. Sanchez Rodriguez , C. Brouzet , G. Allibert , C. Raufaste , M. Argentina

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…

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

Marine exploration is essential to understanding ocean processes and organisms. While the use of current unmanned underwater vehicles has enabled many discoveries, there are still plenty of limitations toward exploring complex environments.…

The thrust benefits of lateral configurations of two-dimensional undulating fish-like bodies are investigated using high-fidelity numerical simulation. The solution of the Navier--Stokes equations is carried out with a viscous vortex…

Fluid Dynamics · Physics 2010-03-24 Li Jeany Zhang , Jeff D. Eldredge

Undulatory locomotion is a means of self-propulsion that relies on the generation and propagation of waves along a body. As a mode of locomotion it is primitive and relatively simple, yet can be remarkably robust. No wonder then, that it is…

Biological Physics · Physics 2009-08-20 Netta Cohen , Jordan H. Boyle

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

The hydrodynamic forces acting on an undulating swimming fish consist of two components: a drag-based resistive force and a reactive force originating from the necessary acceleration of an added mass of water. Lighthill's elongated-body…

Fluid Dynamics · Physics 2025-04-25 Christophe Eloy , Sébastien Michelin

The current study presents a systematic investigation of the locomotion performance of a swimmer with a wide range of parameter settings. Two-dimensional simulations with the immersed boundary method are employed for the fluid-structure…

Fluid Dynamics · Physics 2023-12-21 Wenkang Wang , Xu Chu

During motion from deep to shallow water, multiple equilibria may emerge, each with identical drag - a phenomenon that can be explained by a localised amplification of the wave drag near the shallow wave speed. The implication of this is…

Fluid Dynamics · Physics 2020-07-01 GP Benham , R Bendimerad , M Benzaquen , C Clanet

Understanding efficient fish locomotion offers insights for biomechanics, fluid dynamics, and engineering. Traditional studies often miss the link between neuromuscular control and whole-body movement. To explore energy transfer in…

Fluid Dynamics · Physics 2025-12-02 Tao Li , Chunze Zhang , Weiwei Yao , Junzhao He , Ji Hou , Qin Zhou , Lu Zhang

Locomotion is typically studied either in continuous media where bodies and legs experience forces generated by the flowing medium, or on solid substrates dominated by friction. In the former, centralized coordination is believed to…

Biological Physics · Physics 2023-03-29 Baxi Chong , Juntao He , Shengkai Li , Eva Erickson , Kelimar Diaz , Tianyu Wang , Daniel Soto , Daniel I. Goldman

Over the past few decades, biomimetic robotic experiments have significantly advanced our understanding of undulatory swimming. Compared to animal experiments, robotic experiments offer repeatability and controlled parameter variations, but…

Fluid Dynamics · Physics 2026-05-06 Alexandros Anastasiadis , Auke J. Ijspeert , Karen Mulleners

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

The move to high performance applications greatly increases the demand to produce large instantaneous fluid forces for high-speed maneuvering and improved power efficiency for sustained propulsion. Animals achieve remarkable feats of…

Fluid Dynamics · Physics 2016-09-22 G D Weymouth

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

This expository review is devoted to fish swimming and bird/insect flight. (i) The simple waving motion of an elongated flexible ribbon plate of constant width, immersed in a fluid at rest, propagating a wave distally down the plate to swim…

Mathematical Physics · Physics 2010-07-30 Theodore Yaotsu Wu
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