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EULERIAN MODEL OF IMMERSED ELASTIC SURFACES WITH FULL MEMBRANE ELASTICITY

Article dans une revue avec comité de lecture
Author
MILCENT, Thomas
164351 Institut de Mécanique et d'Ingénierie de Bordeaux [I2M]
MAITRE, Emmanuel
24474 Laboratoire Jean Kuntzmann [LJK]

URI
http://hdl.handle.net/10985/17103
DOI
10.4310/CMS.2016.v14.n3.a11
Date
2016
Journal
Communications in Mathematical Sciences

Abstract

We introduce an Eulerian model for the coupling of a fluid governed by the Navier– Stokes equations, with an immersed interface endowed with full membrane elasticity (i.e., including shear effects). We show numerical evidences of its ability to account for large displacements/shear in a relatively simple way, avoiding some drawbacks of Lagrangian representation.

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