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arXiv · 1202.0421

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

Vincent Doyeux·Yann Guyot·Vincent Chabannes·Christophe Prud'Homme·Mourad Ismail
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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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Vincent Doyeux, Yann Guyot, Vincent Chabannes, Christophe Prud'Homme, Mourad Ismail. 2012-02-02. Simulation of two-fluid flows using a Finite Element/level set method. Application to bubbles and vesicle dynamics. https://arxiv.org/abs/1202.0421

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