Numerical simulation of gluey particles
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) no. 1, pp. 53-80.

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.

DOI : https://doi.org/10.1051/m2an/2008042
Classification : 65L20,  74F10,  76T20
Mots clés : fluid/particle systems, fluid/solid interaction, lubrication force, contacts, Stokes fluid
@article{M2AN_2009__43_1_53_0,
author = {Lefebvre, Aline},
title = {Numerical simulation of gluey particles},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {53--80},
publisher = {EDP-Sciences},
volume = {43},
number = {1},
year = {2009},
doi = {10.1051/m2an/2008042},
zbl = {1163.76056},
mrnumber = {2494794},
language = {en},
url = {http://archive.numdam.org/item/M2AN_2009__43_1_53_0/}
}
Lefebvre, Aline. Numerical simulation of gluey particles. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) no. 1, pp. 53-80. doi : 10.1051/m2an/2008042. http://archive.numdam.org/item/M2AN_2009__43_1_53_0/

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