Fast asymptotic-numerical method for coarse mesh particle simulation in channels of arbitrary cross section

Particles traveling through inertial microfluidic devices migrate to focusing streamlines. We present a numerical method that calculates migration velocities of particles in inertial microfluidic channels of arbitrary cross section by representing particles by singularities. Refinements to asymptotic analysis are given that improve the regularity of the singularity approximation, making finite element approximations of flow and pressure fields more effective. Sample results demonstrate that the method is computationally efficient and able to capture bifurcations in particle focusing positions due to changes in channel shape and Reynolds number. (c) 2022 Published by Elsevier Inc.

Automated summary

In this study, we propose a numerical method that calculates the migration velocities of particles in inertial microfluidic channels of arbitrary cross section by representing particles using singularities. We provide refinements to asymptotic analysis to improve the regularity of the singularity approximation, making finite element approximations of flow and pressure fields more effective. Sample results demonstrate that the method is computationally efficient and capable of capturing bifurcations in particle focusing positions resulting from changes in channel shape and Reynolds number.