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Flows involving liquid-coated grains are ubiquitous in nature (pollen capture, avalanches) and industry (air filtration, smoke-particle agglomeration, pharmaceutical mixing). In this work, three-body collisions between liquid-coated spheres…

Soft Condensed Matter · Physics 2015-05-19 C. M. Donahue , C. M. Hrenya , R. H. Davis

We describe a computational framework for simulating suspensions of rigid particles in Newtonian Stokes flow. One central building block is a collision-resolution algorithm that overcomes the numerical constraints arising from particle…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Wen Yan , Eduardo Corona , Dhairya Malhotra , Shravan Veerapaneni , Michael Shelley

Rigid particles in a Stokesian fluid can physically not overlap, as a thin layer of fluid always separates a particle pair, exerting increasingly strong repulsive forces on the bodies for decreasing separations. Numerically, resolving these…

Fluid Dynamics · Physics 2024-06-11 Anna Broms , Anna-Karin Tornberg

The article proposes an algorithm to model the collision between arbitrary ellipsoids in viscous fluid. It is composed of several steps, each improving upon the standard procedure employed in the current literature. First, an efficient…

Fluid Dynamics · Physics 2022-03-11 Ramandeep Jain , Silvio Tschisgale , Jochen Fröhlich

In this paper, the third in the series, we continue our study of combinatorics in chaotic Newtonian dynamics. We study the chaotic four-body problem in Newtonian gravity assuming finite-sized particles, and we focus on interactions that…

Solar and Stellar Astrophysics · Physics 2017-08-09 Nathan W. C. Leigh , Aaron M. Geller , Michael M. Shara , James Garland , Harper Clees-Baron , Alejandro Ahmed

Exact results for three trajectories of small numbers of particles interacting hydrodynamically through Stokeslets are presented. First, the middle particle in a vertical trio of particles sediments at a constant velocity for all time.…

Fluid Dynamics · Physics 2025-04-01 Benjamin J. Landrum

The settling process and wall impact of large spherical particles in a stagnant, highly viscous fluid has been observed by means of high-speed shadow imaging. The particles included in this study vary in size and material properties: steel,…

Fluid Dynamics · Physics 2020-09-07 Thomas Hagemeier , Dominique Thévenin , Thomas Richter

The problem of accretion of small particles by a sphere embedded in a mean flow is studied in the case where the particles undergo inelastic collisions with the solid object. The collision efficiency, which gives the flux of particles…

Fluid Dynamics · Physics 2018-02-21 Robin Vallée , Christophe Henry , Elie Hachem , Jérémie Bec

We present a collision model for particle-particle and particle-wall interactions in interface-resolved simulations of particle-laden flows. Three types of inter-particle interactions are taken into account: (1) long- and (2) short-range…

Fluid Dynamics · Physics 2021-02-23 Pedro Costa , Bendiks Jan Boersma , Jerry Westerweel , Wim-Paul Breugem

We compare experiments and direct numerical simulations to evaluate the accuracy of the Stokes-drag model, which is used widely in studies of inertial particles in turbulence. We focus on statistics at the dissipation scale and on extreme…

We present a parallel-scalable method for simulating non-dilute suspensions of deformable particles immersed in Stokesian fluid in three dimensions. A critical component in these simulations is robust and accurate collision handling. This…

Numerical Analysis · Mathematics 2018-12-13 Libin Lu , Abtin Rahimian , Denis Zorin

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

We investigate the dynamics of several slender rigid bodies moving in a flow driven by the three-dimensional steady Stokes system in presence of a smooth background flow. More precisely we consider the limit where the thickness of these…

Analysis of PDEs · Mathematics 2024-12-31 Richard M. Höfer , Christophe Prange , Franck Sueur

Hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls are studied under creeping-flow conditions. The many-particle friction matrix in this system is evaluated using our novel numerical…

Fluid Dynamics · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

There are numerous ways to control objects in the Stokes regime, with microscale examples ranging from the use of optical tweezers to the application of external magnetic fields. In contrast, there are relatively few explorations of…

Fluid Dynamics · Physics 2022-05-19 Benjamin J. Walker , Kenta Ishimoto , Eamonn A. Gaffney , Clément Moreau

In this paper, the fourth in the series, we continue our study of combinatorics in chaotic Newtonian dynamics. We focus once again on the chaotic four-body problem in Newtonian gravity assuming finite-sized particles, and interactions that…

Understanding the transport of driven nano- and micro-particles in complex fluids is of relevance for many biological and technological applications. Here we perform hydrodynamic multiparticle collision dynamics simulations of spherical and…

Soft Condensed Matter · Physics 2019-04-03 Andreas Zöttl , Julia M. Yeomans

The rate at which small inertial particles collide with a moderate-Reynolds-number spherical body is found to be strongly affected when the formers are also settling under the effect of gravity. The sedimentation of small particles indeed…

Fluid Dynamics · Physics 2020-09-08 Jeremie Bec , Christoph Siewert , Robin Vallee

The driving terms in three-body theories of elastic and inelastic scattering of a charged particle off a bound state of two other charged particles contain the fully off-shell two-body Coulomb T-matrix describing the intermediate-state…

Nuclear Theory · Physics 2016-09-08 E. O. Alt , A. S. Kadyrov , A. M. Mukhamedzhanov , M. Rauh

Inexpensive numerical methods are key to enable simulations of systems of a large number of particles of different shapes in Stokes flow. Several approximate methods have been introduced for this purpose. We study the accuracy of the…

Fluid Dynamics · Physics 2023-05-24 Anna Broms , Mattias Sandberg , Anna-Karin Tornberg
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