Numerical simulation of gluey particles
Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France. firstname.lastname@example.org
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