Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow

Tsorng-Whay Pan; Roland Glowinski

doi:10.1016/j.crme.2005.10.006

Fluid–solid interactions: modeling, simulation, bio-mechanical applications

Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow

Tsorng-Whay Pan ¹ ; Roland Glowinski ¹

¹ University of Houston, Department of Mathematics, Houston, TX 77204, USA

Comptes Rendus. Mécanique, Fluid-solid interactions: modeling, simulation, bio-mechanical applications, Volume 333 (2005) no. 12, pp. 884-895.

Abstract
Résumé

In a previous article the authors introduced a Lagrange multiplier based fictitious domain method. Their goal in the present article is to apply a generalization of the above method to: (i) the numerical simulation of the motion of neutrally buoyant particles in a three-dimensional Poiseuille flow; (ii) study – via direct numerical simulations – the migration of neutrally buoyant balls in the tube Poiseuille flow of an incompressible Newtonian viscous fluid. Simulations made with one and several particles show that, as expected, the Segré–Silberberg effect takes place.

Dans un autre article, les auteurs ont introduit une méthode de domaine fictif avec multiplicateurs de Lagrange. Leur objectif dans le présent article est d'appliquer une généralisation de la méthode ci-dessus à : (i) la simulation numérique du mouvement de particules interagissant avec un écoulement de Poiseuille tri-dimensionnel lorsque fluide et particules ont la même densité ; (ii) l'étude – par simulation numérique directe – de la migration de particules sphériques interagissant avec l'écoulement de Poisseuille, dans un tube de section ciculaire, d'un fluide Newtonien, visqueux, incompressible, de même densité que les particules. Comme prévu, ces simulations, effectuées avec une ou plusieurs particules, mettent en evidence l'effet de Segré–Silberberg.

Published online: 2005-11-17

DOI: 10.1016/j.crme.2005.10.006

Keywords: Computational fluid mechanics, Particulate flow, Solid–liquid flow, Neutrally buoyant particles, Fictitious domain methods, Distributed Lagrange multipliers, Operator-splitting methods, Finite element methods, Segré–Silberberg effect
Mots-clés : Mécanique des fluides numérique, Ecoulements particulaires, Ecoulements solide–liquide, Particules de flottabilité neutre, Méthodes de domaines fictifs, Multiplicateurs de Lagrange distribués, Méthodes de décomposition d'opérateurs, Méthodes d'éléments finis, Effet de Segré–Silberberg

Author's affiliations:

Tsorng-Whay Pan ¹; Roland Glowinski ¹

¹ University of Houston, Department of Mathematics, Houston, TX 77204, USA

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Tsorng-Whay Pan; Roland Glowinski. Direct simulation of the motion of neutrally buoyant balls in a three-dimensional Poiseuille flow. Comptes Rendus. Mécanique, Fluid-solid interactions: modeling, simulation, bio-mechanical applications, Volume 333 (2005) no. 12, pp. 884-895. doi : 10.1016/j.crme.2005.10.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.10.006/

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