Numerical Simulation of Gluey Particles

Aline Lefebvre (1) , Aline Lefebvre-Lepot (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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 proposed by B. Maury. 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.

Mots clés: fluid/particle systems; fluid/solid interaction; lubrication force; contacts; Stokes fluid

Domaines: Analyse numérique [math.NA]

Aline Lefebvre, Aline Lefebvre-Lepot. Numerical Simulation of Gluey Particles. ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 43 (1), pp.53-80. ⟨hal-00257510v2⟩