Numerical simulations of particle sedimentation using the immersed boundary method
Abstract
We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater than that of the fluid. The fluid-structure interaction problem is simulated numerically using the immersed boundary method, with an added mass term that is incorporated using a Boussinesq approximation. Simulations are performed with a single circular particle, and also with two particles in various initial configurations. The terminal settling velocities for the particles correspond closely with both theoretical and experimental results, and the single-particle dynamics reproduce expected behavior qualitatively. The two-particle simulations exhibit drafting-kissing-tumbling dynamics that is similar to what is observed in other experimental and numerical studies.
Cite
@article{arxiv.1304.0804,
title = {Numerical simulations of particle sedimentation using the immersed boundary method},
author = {Sudeshna Ghosh and John M. Stockie},
journal= {arXiv preprint arXiv:1304.0804},
year = {2015}
}