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 stability to account for large displacements/shear in a relatively simple way, avoiding some drawbacks of Lagrangian representation.

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

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Thomas Milcent, Emmanuel Maitre. Eulerian model of immersed elastic surfaces with full membrane elasticity. IW on numerical methods and applications in fluid-structure interactions, Nov 2014, Grenoble, France. pp.28. ⟨hal-01078869v4⟩