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: Modélisation et simulation; Equations aux dérivées partielles [math.AP]

Thomas Milcent, Emmanuel Maitre. Eulerian model of immersed elastic surfaces with full membrane elasticity. Communications in Mathematical Sciences, 2016, 14 (3), pp.857-881. ⟨10.4310/CMS.2016.v14.n3.a11⟩. ⟨hal-02047155v2⟩