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Simulation of vesicle using level set method solved by high order finite element

Vincent Doyeux 1 Vincent Chabannes 2, 1 Christophe Prud'Homme 3, 2 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 : We present a numerical method to simulate vesicles in fluid flows. This method consists of writing all the properties of the membrane as interfacial forces between two fluids. The main advantage of this approach is that the vesicle and the fluid models may be decoupled easily. A level set method has been implemented to track the interface. Finite element discretization has been used with arbitrarily high order polynomial approximation. Several polynomial orders have been tested in order to get a better accuracy. A validation on equilibrium shapes and "tank treading" motion of vesicle have been presented.
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https://hal.archives-ouvertes.fr/hal-00665007
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Submitted on : Wednesday, February 1, 2012 - 7:29:50 AM
Last modification on : Tuesday, October 19, 2021 - 11:13:17 PM
Long-term archiving on: : Wednesday, December 14, 2016 - 3:17:59 AM

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Vincent Doyeux, Vincent Chabannes, Christophe Prud'Homme, Mourad Ismail. Simulation of vesicle using level set method solved by high order finite element. ESAIM: Proceedings, EDP Sciences, 2012, 38, pp.335-347. ⟨10.1051/proc/201238018⟩. ⟨hal-00665007⟩

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