Geodesic
Simulation of vesicle using level set method solved by high order finite element
Vincent Doyeux1 ; Vincent Chabannes2 ; Christophe Prud’homme2 ; Mourad Ismail1
1 Université Grenoble 1 / CNRS, Laboratoire Interdisciplinaire de Physique / UMR 5588. Grenoble, F-38041, France
2 Université Grenoble 1 / CNRS, Laboratoire Jean Kuntzman / UMR 5224 Grenoble, F-38041, France
ESAIM. Proceedings, Tome 38 (2012), pp. 335-347.

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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.
DOI : 10.1051/proc/201238018

Vincent Doyeux 1 ; Vincent Chabannes 2 ; Christophe Prud’homme 2 ; Mourad Ismail 1

1 Université Grenoble 1 / CNRS, Laboratoire Interdisciplinaire de Physique / UMR 5588. Grenoble, F-38041, France
2 Université Grenoble 1 / CNRS, Laboratoire Jean Kuntzman / UMR 5224 Grenoble, F-38041, France 
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     title = {Simulation of vesicle using level set method solved by high order finite element},
     journal = {ESAIM. Proceedings},
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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, Tome 38 (2012), pp. 335-347. doi : 10.1051/proc/201238018. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238018/

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