Communications in Mathematical Sciences
Volume 14 (2016)
Eulerian model of immersed elastic surfaces with full membrane elasticity
Pages: 857 – 881
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