Communications in Mathematical Sciences

Volume 14 (2016)

Number 3

Eulerian model of immersed elastic surfaces with full membrane elasticity

Pages: 857 – 881



Thomas Milcent (Institut de Mécanique de Bordeaux , Université de Bordeaux and Arts et Métiers, Paris, France)

Emmanuel Maitre (Laboratoire Jean Kuntzmann, Université de Grenoble-Alpes et CNRS, France)


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.


level set, fluid structure, Eulerian, immersed interface, Navier–Stokes, membrane elasticity

2010 Mathematics Subject Classification

65M06, 74F10, 76D05

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Published 26 February 2016