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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2013

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

Résumé

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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Dates et versions

hal-00665484 , version 1 (02-02-2012)

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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, 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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