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A many-body lubrication model. (English. Abridged French version) Zbl 0898.76019
We present direct numerical simulation of the motion of solid particles in a viscous fluid. We introduce a lubrication model to handle “near collisions”. The objective is to couple this approach with the global computation of the flow. We observe the motion of a close-packed arrangement of particles in a fluid, such that the influence of the fluid on the global behavior is restricted to lubrication forces.

76D08 Lubrication theory
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics
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