Numerical simulation of gluey particles

Aline Lefebvre

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2009)

  • Volume: 43, Issue: 1, page 53-80
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Lefebvre, Aline. "Numerical simulation of gluey particles." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 43.1 (2009): 53-80. <http://eudml.org/doc/245470>.

@article{Lefebvre2009,
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 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.},
author = {Lefebvre, Aline},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fluid/particle systems; fluid/solid interaction; lubrication force; contacts; Stokes fluid; multi-particle algorithm},
language = {eng},
number = {1},
pages = {53-80},
publisher = {EDP-Sciences},
title = {Numerical simulation of gluey particles},
url = {http://eudml.org/doc/245470},
volume = {43},
year = {2009},
}

TY - JOUR
AU - Lefebvre, Aline
TI - Numerical simulation of gluey particles
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2009
PB - EDP-Sciences
VL - 43
IS - 1
SP - 53
EP - 80
AB - 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.
LA - eng
KW - fluid/particle systems; fluid/solid interaction; lubrication force; contacts; Stokes fluid; multi-particle algorithm
UR - http://eudml.org/doc/245470
ER -

References

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