Eulerian model of immersed elastic surfaces with full membrane elasticity

Thomas Milcent (1) , Emmanuel Maitre (2)

1 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux
2 EDP - Equations aux Dérivées Partielles

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.

Mots clés: level set; fluid-structure; eulerian; immersed interface; Navier-Stokes; membrane elasticity

Domaines: Equations aux dérivées partielles [math.AP]

Thomas Milcent, Emmanuel Maitre. Eulerian model of immersed elastic surfaces with full membrane elasticity. 2014. ⟨hal-01078869v3⟩