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Related papers: Hydrodynamics of Suspensions of Passive and Active…

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Many suspensions contain particles with complex shapes that are affected not only by hydrodynamics, but also by thermal fluctuations, internal kinematic constraints and other long-range non-hydrodynamic interactions. Modeling these systems…

Soft Condensed Matter · Physics 2025-07-31 Blaise Delmotte , Florencio Balboa Usabiaga

We develop an immersed boundary (IB) method for modeling flows around fixed or moving rigid bodies that is suitable for a broad range of Reynolds numbers, including steady Stokes flow. The spatio-temporal discretization of the fluid…

Numerical Analysis · Mathematics 2016-03-02 B. Kallemov , A. Pal Singh Bhalla , B. E. Griffith , A. Donev

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

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

We introduce methods for large scale Brownian Dynamics (BD) simulation of many rigid particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian motion to the rigid multiblob method at a cost comparable to the…

Soft Condensed Matter · Physics 2018-01-17 B. Sprinkle , F. Balboa Usabiaga , N. A. Patankar , A. Donev

Dispersion of low-density rigid particles with complex geometries is ubiquitous in both natural and industrial environments. We show that while explicit methods for coupling the incompressible Navier-Stokes equations and Newton's equations…

Computational Physics · Physics 2015-11-06 Uǧis Lācis , Kunihiko Taira , Shervin Bagheri

Colloidal particles with active boundary layers - regions surrounding the particles where nonequilibrium processes produce large velocity gradients - are common in many physical, chemical and biological contexts. The velocity or stress at…

Soft Condensed Matter · Physics 2015-07-14 Rajesh Singh , Somdeb Ghose , R. Adhikari

We present a monolithic geometric multigrid preconditioner for solving fluid-solid interaction problems in Stokes limit. The problems are discretized by a spatially adaptive high-order meshless method, the generalized moving least squares…

Numerical Analysis · Mathematics 2022-09-07 Zisheng Ye , Xiaozhe Hu , Wenxiao Pan

We develop a method for simulating colloidal suspensions using multiparticle collision dynamics (MPCD) with a discrete particle model represented as a rigid body. The key steps for incorporating the rigid-body constraints are to thermalize…

Soft Condensed Matter · Physics 2026-04-17 Michaela Bush , Jeremy C. Palmer , Michael P. Howard

The present study investigates the gravity-driven settling dynamics of non-Brownian suspensions of spherical and cubic particles within a triply periodic domain. The effect of solid volume fraction on the evolving microstructure of a…

Fluid Dynamics · Physics 2025-03-27 Dipankar Kundu , Florencio Balboa Usabiaga , Marco Ellero

In this paper, a three-dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time…

A stable numerical solution of the steady Stokes problem requires compatibility between the choice of velocity and pressure approximation that has traditionally proven problematic for meshless methods. In this work, we present a…

Numerical Analysis · Mathematics 2016-11-15 Nathaniel Trask , Martin Maxey , Xiaozhe Hu

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

This work presents an intermediate resolution model of the hydrodynamics of colloidal particles based on a mixed Eulerian-Lagrangian formulation. The particle is constructed with a small set of overlapping Peskin's Immersed Boundary kernels…

Soft Condensed Matter · Physics 2015-06-22 Adolfo Vázquez-Quesada , Florencio Balboa Usabiaga , Rafael Delgado-Buscalioni

We introduce a Rigid-Body Fluctuating Immersed Boundary (RB-FIB) method to perform large-scale Brownian dynamics simulations of suspensions of rigid particles in fully confined domains, without any need to explicitly construct Green's…

Soft Condensed Matter · Physics 2019-05-22 Brennan Sprinkle , Aleksandar Donev , Amneet Pal Singh Bhalla , Neelesh Patankar

We develop an immersed-boundary approach to modeling reaction-diffusion processes in dispersions of reactive spherical particles, from the diffusion-limited to the reaction-limited setting. We represent each reactive particle with a…

Numerical Analysis · Mathematics 2015-06-16 A. Pal Singh Bhalla , B. E. Griffith , N. A. Patankar , A. Donev

We develop a linearly-scaling variant of the Force Coupling Method [K. Yeo and M. R. Maxey, J. Fluid Mech. 649, 205-231 (2010)] for computing hydrodynamic interactions among particles confined to a doubly-periodic geometry with either a…

Computational Physics · Physics 2023-05-03 Aref Hashemi , Raul P. Pelaez , Sachin Natesh , Brennan Sprinkle , Ondrej Maxian , Zecheng Gan , Aleksandar Donev

We study suspensions of solid particles in a viscous incompressible fluid in the presence of highly oscillatory velocity-dependent surface forces. The flow at a small Reynolds number is modeled by the Stokes equations coupled with the…

Analysis of PDEs · Mathematics 2013-04-10 Yuliya Gorb , Florian Maris , Bogdan Vernescu

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

We describe a novel Godunov-type numerical method for solving the equations of resistive relativistic magnetohydrodynamics. In the proposed approach, the spatial components of both magnetic and electric fields are located at zone interfaces…

Computational Physics · Physics 2019-05-01 A. Mignone , G. Mattia , G. Bodo , L. Del Zanna
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