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Numerical simulation of gluey particles

Published online by Cambridge University Press:  16 October 2008

Aline Lefebvre*
Affiliation:
Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France. [email protected]
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Abstract

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

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2008

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