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Simulation of two-fluid flows using a Finite Element/level set method. Application to bubbles and vesicle dynamics

Vincent Doyeux 1 Yann Guyot 1 Vincent Chabannes 1, 2 Christophe Prud'Homme 2, 3 Mourad Ismail 1, *
* Corresponding author
1 DYFCOM
LIPhy - Laboratoire Interdisciplinaire de Physique [Saint Martin d’Hères]
2 EDP - Equations aux Dérivées Partielles
LJK - Laboratoire Jean Kuntzmann
Abstract : A new framework for two-fluids flow using a Finite Element/Level Set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid. This model is then enriched to deal with vesicles (which mimic red blood cells mechanical behavior) by introducing a Lagrange multiplier to constrain the inextensibility of the membrane. Moreover, high order polynomial approximation is used to increase the accuracy of the simulations. A validation of this model is finally presented on known behaviors of vesicles under flow such as "tank treading" and tumbling motions.
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Submitted on : Thursday, February 2, 2012 - 9:53:46 AM
Last modification on : Tuesday, October 19, 2021 - 11:13:15 PM
Long-term archiving on: : Monday, November 19, 2012 - 3:40:39 PM

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Vincent Doyeux, Yann Guyot, Vincent Chabannes, Christophe Prud'Homme, Mourad Ismail. Simulation of two-fluid flows using a Finite Element/level set method. Application to bubbles and vesicle dynamics. Journal of Computational and Applied Mathematics, Elsevier, 2013, Fifth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2011), 246, pp.251-259. ⟨10.1016/j.cam.2012.05.004⟩. ⟨hal-00665484⟩

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