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A new numerical method is presented for solving the rotating shallow water equations on a rotating sphere using quasi-uniform polygonal meshes. The method uses special families of finite element function spaces to mimic key mathematical…

Numerical Analysis · Mathematics 2015-06-23 John Thuburn , Colin J. Cotter

Locomotion and transport of microorganisms in fluids is an essential aspect of life. Search for food, orientation toward light, spreading of off-spring, and the formation of colonies are only possible due to locomotion. Swimming at the…

Biological Physics · Physics 2015-05-26 Jens Elgeti , Roland G. Winkler , Gerhard Gompper

The flow behaviors of polymer melt composed of short chains with ten beads between parallel plates are simulated by using a hybrid method of molecular dynamics and computational fluid dynamics. Three problems are solved: creep motion under…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto

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

Numerical simulations describing plunging breakers including the splash-up phenomenon are presented. The motion is governed by the classical, incompressible, two-dimensional Navier-Stokes equation. The numerical modelling of this two-phase…

comp-gas · Physics 2008-02-03 G. Chen , C. Kharif , S. Zaleski , J. Li

Microorganisms inhabit viscoelastic environments, where their locomotion can deform polymers and trigger local complex viscoelastic responses. However, a systematic approach to quantify such responses remains lacking. Here, we propose a…

Soft Condensed Matter · Physics 2025-12-09 Kai Qi , Qingzhi Zou , Ignacio Pagonabarraga

Large-eddy simulation developments and validations are presented for an improved simulation of turbulent internal flows. Numerical methods are proposed according to two competing criteria: numerical qualities (precision and spectral…

Fluid Dynamics · Physics 2008-01-15 Jérôme Boudet , Joëlle Caro , L. Shao , Emmanuel Lévêque

Microorganisms ofter move in confined, disordered environments, where hydrodynamic couplings can modify their transport behavior. Using extensive finite-element simulations, we investigate the dynamics of microswimmers -- modeled as…

Soft Condensed Matter · Physics 2026-03-24 Mirko Residori , Sebastian Aland , Christina Kurzthaler

We run numerical simulations of strongly confined suspensions of model spherical swimmers called "squirmers". Because of the confinement, the Stokeslet dipoles generated by the particles are quickly screened and the far-field flow is…

Fluid Dynamics · Physics 2016-06-22 Jean-Baptiste Delfau , John Molina , Masaki Sano

Interfaces between two fluids are ubiquitous and of special importance for industrial applications, e.g., stabilisation of emulsions. The dynamics of fluid-fluid interfaces is difficult to study because these interfaces are usually…

Soft Condensed Matter · Physics 2015-03-20 Timm Krüger , Stefan Frijters , Florian Günther , Badr Kaoui , Jens Harting

We use numerical simulations to address locomotion at zero Reynolds number in viscoelastic (Giesekus) fluids. The swimmers are assumed to be spherical, to self-propel using tangential surface deformation, and the computations are…

Fluid Dynamics · Physics 2015-06-12 Lailai Zhu , Eric Lauga , Luca Brandt

Cells swimming in viscous fluids create flow fields which influence the transport of relevant nutrients, and therefore their feeding rate. We propose a modeling approach to the problem of optimal feeding at zero Reynolds number. We consider…

Fluid Dynamics · Physics 2011-10-19 Sébastien Michelin , Eric Lauga

We demonstrate with experiments and simulations how microscopic self-propelled particles navigate through environments presenting complex spatial features, which mimic the conditions inside cells, living organisms and future lab-on-a-chip…

Biological Physics · Physics 2011-09-22 Giovanni Volpe , Ivo Buttinoni , Dominik Vogt , Hans-Juergen Kuemmerer , Clemens Bechinger

In their search for metabolic resources microbes swim through viscous environments that present physical anisotropies, including steric obstacles across a wide range of sizes. Hydrodynamic forces are known to significantly alter swimmer…

Soft Condensed Matter · Physics 2020-07-03 Kentaro Hoeger , Tristan Ursell

Shear cell simulations and experiments of weakly wetted particles (a few volume percent liquid binders) are compared, with the goal to understand their flow rheology. Application examples are cores for metal casting by core shooting made of…

Soft Condensed Matter · Physics 2014-09-15 Ruediger Schwarze , Anton Gladkyy , Fabian Uhlig , Stefan Luding

The swimming trajectories of self-propelled organisms or synthetic devices in a viscous fluid can be altered by hydrodynamic interactions with nearby boundaries. We explore a multipole description of swimming bodies and provide a general…

Fluid Dynamics · Physics 2012-11-30 Saverio E. Spagnolie , Eric Lauga

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

After colliding with a surface, microswimmers reside there during the detention time. They accumulate and may form complex structures such as biofilms. We introduce a general framework to calculate the distribution of detention times using…

Soft Condensed Matter · Physics 2015-07-21 Konstantin Schaar , Andreas Zöttl , Holger Stark

The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes equations can be found exactly to second…

Fluid Dynamics · Physics 2019-12-18 B. U. Felderhof , R. B. Jones

We develop a block-structured solver for high-fidelity simulation of flows in complex geometries, based on overlapping (Chimera) meshes. The key components of the algorithm are a baseline dissipation-free central discretization and…

Fluid Dynamics · Physics 2025-06-09 Andrea Di Mascio , Sergio Pirozzoli
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