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Coupling of finite element and boundary integral methods for a capsule in a Stokes flow

✍ Scribed by J. Walter; A.-V. Salsac; D. Barthès-Biesel; P. Le Tallec

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
292 KB
Volume
83
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We introduce a new numerical method to model the fluid–structure interaction between a microcapsule and an external flow. An explicit finite element method is used to model the large deformation of the capsule wall, which is treated as a bidimensional hyperelastic membrane. It is coupled with a boundary integral method to solve for the internal and external Stokes flows. Our results are compared with previous studies in two classical test cases: a capsule in a simple shear flow and in a planar hyperbolic flow. The method is found to be numerically stable, even when the membrane undergoes in‐plane compression, which had been shown to be a destabilizing factor for other methods. The results are in very good agreement with the literature. When the viscous forces are increased with respect to the membrane elastic forces, three regimes are found for both flow cases. Our method allows a precise characterization of the critical parameters governing the transitions. Copyright © 2010 John Wiley & Sons, Ltd.

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