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Navigation in turbulent environments is a fundamental challenge for biological and artificial microswimmers. While most existing studies focus on adapting motility or steering, the role of active morphological changes in navigation remains…

One of the principal mechanisms by which surfaces and interfaces affect microbial life is by perturbing the hydrodynamic flows generated by swimming. By summing a recursive series of image systems we derive a numerically tractable…

Soft Condensed Matter · Physics 2016-10-12 Arnold J. T. M. Mathijssen , Amin Doostmohammadi , Julia M. Yeomans , Tyler N. Shendruk

(Abbreviated) In this paper we report on the development of a multiscale method for simulating complex liquid-liquid systems such as water in contact with oil containing asphaltenes. We consider simulations where water drops covered with…

We propose a minimal model of microswimmer based on immersed boundary methods. We describe a swimmer (either pusher or puller) as a distribution of point forces, representing the swimmer's flagellum and body, with only the latter subjected…

Computational Physics · Physics 2024-07-12 Francesco Michele Ventrella , Guido Boffetta , Massimo Cencini , Filippo De Lillo

Swimming consists by definition in propelling through a fluid by means of bodily movements. Thus, from a mathematical point of view, swimming turns into a control problem for which the controls are the deformations of the swimmer. The aim…

Optimization and Control · Mathematics 2017-02-15 Thomas Chambrion , Laetitia Giraldi , Alexandre Munnier

Biomedical applications such as targeted drug delivery, microsurgery, and sensing rely on reaching precise areas within the body in a minimally invasive way. Artificial bacterial flagella (ABFs) have emerged as potential tools for this task…

Biological Physics · Physics 2025-05-15 Lucas Amoudruz , Sergey Litvinov , Petros Koumoutsakos

Cell motility in viscous fluids is ubiquitous and affects many biological processes, including reproduction, infection, and the marine life ecosystem. Here we review the biophysical and mechanical principles of locomotion at the small…

Soft Condensed Matter · Physics 2009-09-16 Eric Lauga , Thomas R. Powers

We illustrate a concept for shape-changing microswimmers, which exploits the hysteresis of a shape transition of an elastic object, by an elastic disk undergoing cyclic localized swelling. Driving the control parameter of a hysteretic shape…

Soft Condensed Matter · Physics 2020-12-29 Christian Wischnewski , Jan Kierfeld

This paper advances the development of the conformally mapped model for accurate simulation of two-dimensional water waves, here with emphasis on mapping boundaries that represent piston- and flap-type wavemakers. With this, a complete…

Fluid Dynamics · Physics 2025-05-20 Andreas Holm Akselsen

Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. This can be achieved without the need for obvious…

Previously, we have proposed a direct simulation scheme for colloidal dispersions in a Newtonian solvent [Phys.Rev.E 71,036707 (2005)]. An improved formulation called the ``Smoothed Profile (SP) method'' is presented here in which…

Soft Condensed Matter · Physics 2010-04-15 Yasuya Nakayama , Kang Kim , Ryoichi Yamamoto

Modeling the mechanics of fluid in complex scenes is vital to applications in design, graphics, and robotics. Learning-based methods provide fast and differentiable fluid simulators, however most prior work is unable to accurately model how…

Machine Learning · Computer Science 2023-09-12 Arjun Mani , Ishaan Preetam Chandratreya , Elliot Creager , Carl Vondrick , Richard Zemel

Micro-organisms usually can swim in their liquid environment by flagellar or ciliary beating. In this numerical work, we analyze the influence of flagellar beating on the orbits of a swimming cell in a shear flow. We also calculate the…

Soft Condensed Matter · Physics 2017-11-21 Levan Jibuti , Walter Zimmermann , Salima Rafaï , Philippe Peyla

The deformations of flagella are important in the motility of single- and multi-flagellated bacteria. Existing numerical methods have treated flagella as extensible filaments with a large extensional modulus, resulting in a stiff numerical…

Fluid Dynamics · Physics 2020-07-15 Mehdi Jabbarzadeh , Henry C. Fu

Biological swimmers frequently navigate in geometrically restricted media. We study the prescribed-stroke problem of swimmers confined to a planar viscous membrane embedded in a bulk fluid of different viscosity. In their motion,…

Soft Condensed Matter · Physics 2021-02-24 Carlos Alas , Thomas R. Powers , Tatiana Kuriabova

In this article, we consider a swimmer (i.e. a self-deformable body) immersed in a fluid, the flow of which is governed by the stationary Stokes equations. This model is relevant for studying the locomotion of microorganisms or micro robots…

Analysis of PDEs · Mathematics 2012-03-19 Jérôme Lohéac , Alexandre Munnier

Many biological microorganisms and artificial microswimmers react to external cues of environmental gradients by changing their swimming directions. We study here the behavior of eukarytic flagellated microswimmers in linear viscosity…

Soft Condensed Matter · Physics 2026-05-29 Shubham Anand , Jens Elgeti , Gerhard Gompper

Several micro-organisms, such as bacteria, algae, or spermatozoa, use flagella or cilia to swim in a fluid, while many other micro-organisms instead use ample shape deformation, described as amoeboid, to propel themselves by either crawling…

Biological Physics · Physics 2016-09-19 Hao Wu , A. Farutin , W. -F. Hu , M. Thiébaud , S. Rafaï , P. Peyla , M. -C. Lai , C. Misbah

Soft slender structures are ubiquitous in natural and artificial systems and can be observed at scales that range from the nanometric to the kilometric, from polymers to space tethers. We present a practical numerical approach to simulate…

Fluid Dynamics · Physics 2017-08-18 Mattia Gazzola , Levi H. Dudte , Andrew G. McCormick , L. Mahadevan

This article presents a computational framework for determining the optimal slip velocity of a microswimmer with arbitrary three-dimensional geometry suspended in a viscous fluid. The objective is to minimize the hydrodynamic power…

Numerical Analysis · Mathematics 2026-04-09 Marc Bonnet , Kausik Das , Shravan Veerapaneni , Hai Zhu
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