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Licensed Unlicensed Requires Authentication Published by De Gruyter June 7, 2017

Numerical Methods for Simulating the Motion of Porous Balls in Simple 3D Shear Flows Under Creeping Conditions

Aixia Guo, Tsorng-Whay Pan, Jiwen He and Roland Glowinski

Abstract

In this article, two novel numerical methods have been developed for simulating fluid/porous particle interactions in three-dimensional (3D) Stokes flow. The Brinkman–Debye–Bueche model is adopted for the fluid flow inside the porous particle, being coupled with the Stokes equations for the fluid flow outside the particle. The rotating motion of a porous ball and the interaction of two porous balls in bounded shear flows have been studied by these two new methods. The numerical results show that the porous particle permeability has a strong effect on the interaction of two porous balls.

MSC 2010: 65M60

Funding source: National Science Foundation

Award Identifier / Grant number: DMS-1418308

Funding statement: We acknowledge the support of NSF (grant DMS-1418308).

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Received: 2017-2-2
Revised: 2017-5-13
Accepted: 2017-5-16
Published Online: 2017-6-7
Published in Print: 2017-7-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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