| Issue |
ESAIM: M2AN
Volume 43, Number 1, January-February 2009
|
|
|---|---|---|
| Page(s) | 53 - 80 | |
| DOI | https://doi.org/10.1051/m2an/2008042 | |
| Published online | 16 October 2008 | |
Numerical simulation of gluey particles
Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France. aline.lefebvre@math.u-psud.fr
Received:
24
February
2008
Revised:
27
June
2008
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: Proceedings 18 (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.
Mathematics Subject Classification: 65L20 / 74F10 / 76T20
Key words: Fluid/particle systems / fluid/solid interaction / lubrication force / contacts / Stokes fluid.
© EDP Sciences, SMAI, 2008
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