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Numerical simulation of gluey particles. (English) Zbl 1163.76056
Summary: We propose 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, 133–142 (2007)]. We propose a multi-particle version of this gluey model which is based on the projection of velocities onto a set of admissible velocities. Then, we describe a multi-particle algorithm for the simulation of such systems, and present numerical results.

MSC:
76T20 Suspensions
76D08 Lubrication theory
76M28 Particle methods and lattice-gas methods
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