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Numerical simulation of gluey particles

Published online by Cambridge University Press:  16 October 2008

Aline Lefebvre
Aline Lefebvre*
Affiliation:
Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France. aline.lefebvre@math.u-psud.fr
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Abstract

We propose here a model and a numerical scheme to compute the motion of rigid particles interacting through the lubrication force. In the case of a particle approaching a plane, we propose an algorithm and prove its convergence towards the solutions to the gluey particle model described in [B. Maury, ESAIM: Proceedings18 (2007) 133–142]. We propose a multi-particle version of this gluey model which is based on the projection of the velocities onto a set of admissible velocities. Then, we describe a multi-particle algorithm for the simulation of such systems and present numerical results.

Keywords

Fluid/particle systemsfluid/solid interactionlubrication forcecontactsStokes fluid.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 1 , January 2009 , pp. 53 - 80
Copyright
© EDP Sciences, SMAI, 2008

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