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Numerical Simulations of Particle Sedimentation Using the Immersed Boundary Method

Part of:Incompressible viscous fluidsCoupling of solid mechanics with other effectsTwo-phase and multiphase flowsBasic methods in fluid mechanics

Published online by Cambridge University Press:  30 July 2015

Sudeshna Ghosh and
John M. Stockie
Sudeshna Ghosh
Affiliation:
Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
John M. Stockie*
Affiliation:
Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada
*
*Corresponding author. Email addresses: sud1800@yahoo.co.in (S. Ghosh), jstockie@sfu.ca (J. M. Stockie)

Abstract

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We study the settling of solid particles in a viscous incompressible fluid contained within a two-dimensional channel, where the mass density of the particles is greater than that of the fluid. The fluid-structure interaction problem is simulated numerically using the immersed boundary method, where the added mass 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 particle settling velocity and drag coefficient correspond closely with other theoretical, experimental and numerical results, and the particle trajectories reproduce the expected behavior qualitatively. In particular, simulations of a pair of interacting particles similar drafting-kissing-tumbling dynamics to that observed in other experimental and numerical studies.

Keywords

Immersed boundary methodparticle suspensionsedimentationsettling velocityfluid-structure interaction

MSC classification

Secondary:45K05: Integro-partial differential equations74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)76D05: Navier-Stokes equations76M20: Finite difference methods76T20: Suspensions

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 2 , August 2015, pp. 380 - 416
Copyright
Copyright © Global-Science Press 2015 

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