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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…

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

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 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

Fish swim with flexible fins that stand in stark contrast to the rigid propulsors of engineered vehicles. Using numerical simulations of the dynamics of flow-structure interaction, we have found that dorso-ventral deformation in flexible…

Fluid Dynamics · Physics 2026-04-16 Sushrut Kumar , Matthew J. McHenry , Jung-Hee Seo , Rajat Mittal

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

For nearly a century, researchers have tried to understand the swimming of aquatic animals in terms of a balance between the forward thrust from swimming movements and drag on the body. Prior approaches have failed to provide a separation…

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

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 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 swim by undulating their bodies. These propulsive motions require coordinated shape changes of a body that interacts with its fluid environment, but the specific shape coordination that leads to robust turning and swimming motions…

Quantitative Methods · Quantitative Biology 2021-05-19 Yusheng Jiao , Feng Ling , Sina Heydari , Nicolas Heess , Josh Merel , Eva Kanso

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

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

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

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

We present numerical simulations of simplified models for swimming organisms or robots, using chordwise flexible elastic plates. We focus on the tip vortices originating from three-dimensional effects due to the finite span of the plate.…

Fluid Dynamics · Physics 2018-03-21 T. Engels , D. Kolomenskiy , K. Schneider , J. Sesterhenn

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

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

Recent research has shown that motile cells can adapt their mode of propulsion to the mechanical properties of the environment in which they find themselves--crawling in some environments while swimming in others. The latter can involve…

Biological Physics · Physics 2018-05-24 Hao Wu , Marco Avila Ponce de Leon , Hans G. Othmer

Flapping-based propulsive systems rely on fluid-structure interactions to produce thrust. At intermediate and high Reynolds numbers, vortex formation and organization in the wake of such systems are crucial for the generation of a…

Fluid Dynamics · Physics 2026-01-26 Christophe Brouzet , Christophe Raufaste , Médéric Argentina
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