Prediction of the low-velocity distribution from the pore structure in simple porous media

P de Anna, B Quaife, G Biros, R Juanes - Physical Review Fluids, 2017 - APS
The macroscopic properties of fluid flow and transport through porous media are a direct
consequence of the underlying pore structure. However, precise relations that characterize …

A fast integral equation method for solid particles in viscous flow using quadrature by expansion

L af Klinteberg, AK Tornberg - Journal of Computational Physics, 2016 - Elsevier
Boundary integral methods are advantageous when simulating viscous flow around rigid
particles, due to the reduction in number of unknowns and straightforward handling of the …

Anomalous diffusion of deformable particles in a honeycomb network

Z Shen, F Plouraboué, JS Lintuvuori, H Zhang… - Physical Review Letters, 2023 - APS
Transport of deformable particles in a honeycomb network is studied numerically. It is shown
that the particle deformability has a strong impact on their distribution in the network. For …

Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations

A Barnett, B Wu, S Veerapaneni - SIAM Journal on Scientific Computing, 2015 - SIAM
Dense particulate flow simulations using integral equation methods demand accurate
evaluation of Stokes layer potentials on arbitrarily close interfaces. In this paper, we …

An integral equation formulation for rigid bodies in Stokes flow in three dimensions

E Corona, L Greengard, M Rachh… - Journal of Computational …, 2017 - Elsevier
We present a new derivation of a boundary integral equation (BIE) for simulating the three-
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …

Boundary integral method for the flow of vesicles with viscosity contrast in three dimensions

A Rahimian, SK Veerapaneni, D Zorin… - Journal of Computational …, 2015 - Elsevier
We propose numerical algorithms for the simulation of the dynamics of three-dimensional
vesicles suspended in viscous Stokesian fluid. Our method is an extension of our previous …

Sorting same-size red blood cells in deep deterministic lateral displacement devices

G Kabacaoğlu, G Biros - Journal of Fluid Mechanics, 2019 - cambridge.org
Microfluidic sorting of deformable particles finds many applications, for example, medical
devices for cells. Deterministic lateral displacement (DLD) is one of them. Particle sorting via …

Dynamics and rheology of a single two-dimensional multilobe vesicle in a confined geometry

M Abbasi, A Farutin, A Nait-Ouhra, H Ez-Zahraouy… - Physical Review …, 2022 - APS
A vesicle is a common model used to represent red blood cell (RBC) in silico and in vitro.
We investigate here the dynamics and the rheology of a vesicle under shear flow confined …

Hydrodynamics of multicomponent vesicles: A phase-field approach

Z Wen, N Valizadeh, T Rabczuk, X Zhuang - Computer Methods in Applied …, 2024 - Elsevier
In this paper, we introduce a thermodynamically-consistent phase-field model to investigate
the hydrodynamics of inextensible multicomponent vesicles in various fluid flows with inertial …

An accurate integral equation method for simulating multi-phase Stokes flow

R Ojala, AK Tornberg - Journal of Computational Physics, 2015 - Elsevier
We introduce a numerical method based on an integral equation formulation for simulating
drops in viscous fluids in the plane. It builds upon the method introduced by Kropinski in …