Numerical Simulation of Gluey Particles

TL;DR

This paper introduces a new numerical model and algorithm for simulating the motion of rigid particles interacting via lubrication forces, including convergence proofs and multi-particle extensions.

Contribution

It presents a novel numerical scheme for gluey particle models, with convergence analysis and a multi-particle simulation algorithm.

Findings

Algorithm converges to the gluey particle model solutions.

Multi-particle simulations effectively model complex particle interactions.

Numerical results demonstrate the model's applicability.

Abstract

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.