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Numerical Mathematics and Advanced Applications. Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007, K. Kunisch, G. Of, O. Steinbach (Ed.) (2008) 449-456
Simulations of 3D Dynamics of Microdroplets: A Comparison of Rectangular and Cylindrical Channels
Charles-Henri Bruneau 1, 2, Thierry Colin 1, 2, Cédric Galusinski 2, 3, Sandra Tancogne 1, 2, Paul Vigneaux ( ) 1, 2, 4, 5
(2008-04-21)

In this paper, several numerical simulations of diphasic flows in microchannels are presented. The flow in both cylindrical and rectangular channels is considered. The aim is to compute the shape of the droplets and the velocity fields inside and outside the droplets and to quantify the influence of the geometry. The Level Set method is used to follow the interface between the fluids.
1:  Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2:  MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
3:  Institut de Mathématiques de Toulon et du Var (IMATH)
Université Sud Toulon Var : EA2134
4:  Laboratoire de Mathématiques (LAMA)
CNRS : UMR5127 – Université de Savoie
5:  NUMED (ENS Lyon / UCB Lyon / Inria Grenoble Rhône-Alpes)
Université Claude Bernard - Lyon I – INRIA – École Normale Supérieure - Lyon – CNRS : UMR5669 – Unité de Mathématiques Pures et Appliquées
Physics/Mechanics/Mechanics of the fluids

Engineering Sciences/Mechanics/Fluids mechanics

Mathematics/Numerical Analysis

Mathematics/Analysis of PDEs
level set – microdroplets – 3D hydrodynamics – microchannels
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