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We employ three numerical methods to explore the motion of low Reynolds number swimmers, modeling the hydrodynamic interactions by means of the Oseen tensor approximation, lattice Boltzmann simulations and multiparticle collision dynamics.…

Soft Condensed Matter · Physics 2007-05-23 David J. Earl , C. M. Pooley , J. F. Ryder , Irene Bredberg , J. M. Yeomans

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

Numerical Analysis · Mathematics 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

We analyze the three-dimensional buckling of an elastic filament in a shear flow of a viscous fluid at low Reynolds number and high Peclet number. We apply the Euler-Bernoulli beam (elastica) theoretical model. We show the universal…

Fluid Dynamics · Physics 2025-08-08 Pawel Sznajder , Piotr Zdybel , Lujia Liu , Maria L. Ekiel-Jezewska

We develop a numerical framework to simulate the locomotion of a flagellated bacterium with a spheroidal head (such as Escherichia coli) in biological fluids like mucus, which are entangled polymer solutions exhibiting elasto-viscoplastic…

Fluid Dynamics · Physics 2026-04-01 Arjun Sharma , Sabarish V. Narayanan , Sarah Hormozi , Donald L. Koch

We investigate the gravitational settling of a long, model elastic filament in homogeneous isotropic turbulence. We show that the flow produces a strongly fluctuating settling velocity, whose mean is moderately enhanced over the still-fluid…

Fluid Dynamics · Physics 2021-01-05 Rahul K. Singh , Jason R. Picardo , Samriddhi Sankar Ray

The settling of highly elastic non-Brownian closed fibres (called loops) under gravity in a viscous fluid is investigated numerically. The loops are represented using a bead-spring model with harmonic bending potential and finitely…

Soft Condensed Matter · Physics 2025-06-18 Yevgen Melikhov , Maria L. Ekiel-Jezewska

We present a novel buckling instability relevant to membrane budding in eukaryotic cells. In this mechanism, curved filaments bind to a lipid bilayer without changing its intrinsic curvature. As more and more filaments adsorb, newly added…

Biological Physics · Physics 2009-07-16 Martin Lenz , Daniel J. G. Crow , Jean-François Joanny

Myosin motor proteins drive vigorous steady-state fluctuations in the actin cytoskeleton of cells. Endogenous embedded semiflexible filaments such as microtubules, or added filaments such as single-walled carbon nanotubes are used as novel…

Biological Physics · Physics 2016-06-21 J. Gladrow , N. Fakhri , F. C. MacKintosh , C. F. Schmidt , C. P. Broedersz

The dynamics of a rotating elastic filament is investigated using Stokesian simulations. The filament, straight and tilted with respect to its rotation axis for small driving torques, undergoes at a critical torque a strongly discontinuous…

Soft Condensed Matter · Physics 2007-05-23 Manoel Manghi , Xaver Schlagberger , Roland R. Netz

Small bubbles in fluids raise to the surface due to Archimede's force. Remarkably, in turbulent flows this process is severely hindered by the presence of vortex filaments, which act as moving potential wells, dynamically trapping light…

Fluid Dynamics · Physics 2024-09-17 Ziqi Wang , Xander M de Wit , Federico Toschi

In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivated by systems in membrane biology, such as cytoskeletal…

Numerical Analysis · Mathematics 2023-12-21 Basant Lal Sharma , Luigi E. Perotti , Sanjay Dharmavaram

We investigate structural and dynamical properties of a self-propelled filament using coarse-grained Brownian dynamics simulations. A self-propulsion force is applied along the bond vectors, i.e., tangent to the filament and their locations…

Soft Condensed Matter · Physics 2019-02-14 Shalabh K. Anand , Sunil P. Singh

We investigate 3-dimensional flagellar swimming in a fluid with a sparse network of stationary obstacles or fibers. The Brinkman equation is used to model the average fluid flow where a flow-dependent term, including a resistance parameter…

Fluid Dynamics · Physics 2019-03-27 Nguyenho Ho , Karin Leiderman , Sarah Olson

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

Hydrodynamic equations for an isotropic solution of active polar filaments are derived from a microscopic mean-field model of the forces exchanged between motors and filaments. We find that a spatial dependence of the motor stepping rate…

Soft Condensed Matter · Physics 2015-06-24 T. B. Liverpool , M. Cristina Marchetti

A deep understanding of the physical interactions between nanoparticles and target cell membranes is important in designing efficient nanocarrier systems for drug delivery applications. Here, we present a theoretical framework to describe…

Fluid Dynamics · Physics 2020-12-30 Abdallah Daddi-Moussa-Ider

In the present study we investigate electrostatic stabilization mechanisms acting on stratified fluids. Electric fields have been shown to control and even suppress the Rayleigh-Taylor instability when a heavy fluid lies above lighter…

Fluid Dynamics · Physics 2013-10-15 Radu Cimpeanu , Demetrios T. Papageorgiou

The variational static formulation contributed in [International Journal of Engineering Science 143, 73-91 (2019)] is generalized in the present paper to model axial and flexural dynamic behaviors of elastic nano-beams by nonlocal strain…

We consider numerical algorithms for the simulation of the rheology of two-dimensional vesicles suspended in a viscous Stokesian fluid. The vesicle evolution dynamics is governed by hydrodynamic and elastic forces. The elastic forces are…

Numerical Analysis · Mathematics 2015-06-17 Bryan Quaife , George Biros