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Motivated by recent experiments, we consider the hydrodynamic capture of a microswimmer near a stationary spherical obstacle. Simulations of model equations show that a swimmer approaching a small spherical colloid is simply scattered. In…

Fluid Dynamics · Physics 2015-05-12 Saverio E. Spagnolie , Gregorio R. Moreno-Flores , Denis Bartolo , Eric Lauga

Numerical schemes for wave-like systems with small dissipation are often inaccurate and unstable due to truncation errors and numerical roundoff errors. Hence, numerical simulations of wave-like systems lacking proper handling of these…

Numerical Analysis · Mathematics 2022-07-27 J. Divahar , A. J. Roberts , Trent W. Mattner , J. E. Bunder , Ioannis G. Kevrekidis

We examine the vertical mixing induced by the swimming of microorganisms at low Reynolds and P\'eclet numbers in a stably stratified ocean, and show that the global contribution of oceanic microswimmers to vertical mixing is negligible. We…

Fluid Dynamics · Physics 2014-06-16 Gregory L. Wagner , William R. Young , Eric Lauga

Micro-swimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid which accounts for a sparse…

Fluid Dynamics · Physics 2026-02-05 Francisca Guzman-Lastra , Enkeleida Lushi

Active diffusiophoresis - swimming through interaction with a self-generated, neutral, solute gradient - is a paradigm for autonomous motion at the micrometer scale. We study this propulsion mechanism within a linear response theory.…

Statistical Mechanics · Physics 2015-05-30 Benedikt Sabass , Udo Seifert

Catalytic microswimmers convert the chemical energy of a fuel into motion, sustaining spatial chemical gradients and fluid flows that drive their propulsion. This leads to unconventional individual behavior and the emergence of collective…

Soft Condensed Matter · Physics 2024-09-04 Celso Carrasco , Quentin Martinet , Zaiyi Shen , Juho S. Lintuvuori , Jérémie Palacci , Antoine Aubret

An artificial microswimmer drifts in response to spatio-temporal modulations of an activating suspension medium. We consider two competing mechanisms capable of influencing its tactic response: angular fluctuations, which help it explore…

Soft Condensed Matter · Physics 2017-02-15 Alexander Geiseler , Peter Hänggi , Fabio Marchesoni

Self-propelled phoretic swimmers are generally studied in the laminar flow regime, where their low speed renders inertial effects negligible and trajectories highly predictable. This research tackles the challenge of propulsion in the…

Fluid Dynamics · Physics 2026-01-19 Alessandro Foradori , Paolo Bettotti

Interactions between swimming cells and surfaces are essential to many microbiological processes, from bacterial biofilm formation to human fertilization. However, in spite of their fundamental importance, relatively little is known about…

Biological Physics · Physics 2013-02-04 Vasily Kantsler , Jörn Dunkel , Marco Polin , Raymond E. Goldstein

It has been shown that an anisotropic liquid crystalline (LC) environment can be used to guide the self-propulsion dynamics of dispersed microswimmers, such as bacteria. This type of composite system is named "living nematic" (LN). In the…

Soft Condensed Matter · Physics 2025-05-29 Zeyang Mou , Yuan Li , Zhihong You , Rui Zhang

The spatiotemporal dynamics in systems of active self-propelled particles is controlled by the propulsion mechanism in combination with various direct interactions, such as steric repulsion, hydrodynamics, and chemical fields. Yet, these…

Soft Condensed Matter · Physics 2024-06-03 Mario Theers , Elmar Westphal , Kai Qi , Roland G. Winkler , Gerhard Gompper

We investigate the behavior of the slip length in Newtonian liquids subject to planar shear bounded by substrates with mixed boundary conditions. The upper wall, consisting of a homogenous surface of finite or vanishing slip, moves at a…

Soft Condensed Matter · Physics 2009-11-10 Nikolai V. Priezjev , Anton A. Darhuber , Sandra M. Troian

We present a detailed numerical study of a microscopic artificial swimmer realized recently by Dreyfus et al. in experiments [R. Dreyfus et al., Nature 437, 862 (2005)]. It consists of an elastic filament composed of superparamagnetic…

Soft Condensed Matter · Physics 2008-05-21 Erik M. Gauger , Holger Stark

Pairwise hydrodynamic interactions of microswimmers form the fundamental building blocks for understanding their more complex collective behaviors. In this work, we revisit the canonical problem of two interacting squirmers swimming along…

Self-propelled microparticles create flow fields that determine how they interact with surfaces, external flows, and each other. These flow fields fall into distinct classes--pushers, pullers, and neutral swimmers--each exhibiting…

Soft Condensed Matter · Physics 2025-12-25 Lisa Rohde , Gordei Anchutkin , Viktor Holubec , Frank Cichos

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

Numerical Analysis · Mathematics 2018-04-18 Luca Bonaventura , Enrique D. Fernández-Nieto , José Garres-Díaz , Gladys Narbona-Reina

Purcell's planar three-link microswimmer is a classic model of swimming in low-Reynolds-number fluid, inspired by motion of flagellated microorganisms. Many works analyzed this model, assuming that the two joint angles are directly…

Fluid Dynamics · Physics 2024-07-19 Anna Zigelman , Gilad Ben Zvi , Yizhar Or

Persistent motion of microswimmers near boundaries is known to result in surface accumulation. Recently it was shown experimentally that surface accumulation of microswimmers is impacted primarily by steric forces and short-ranged…

Soft Condensed Matter · Physics 2025-07-22 Danne M. van Roon , Giorgio Volpe , Margarida M. Telo da Gama , Nuno A. M. Araújo

We model a slip boundary condition at fluid-solid interface of an arbitrary geometry in smoothed particle hydrodynamics and smoothed dissipative particle dynamics simulations. Under an assumption of linear profile of the tangential velocity…

Fluid Dynamics · Physics 2023-03-14 Xinwei Cai , Zhen Li , Xin Bian

Various microorganisms and some mammalian cells are able to swim in viscous fluids by performing nonreciprocal body deformations, such as rotating attached flagella or by distorting their entire body. In order to perform chemotaxis, i.e. to…

Biological Physics · Physics 2021-05-06 Benedikt Hartl , Maximilian Hübl , Gerhard Kahl , Andreas Zöttl