A level set method for fluid-structure interactions with immersed surfaces

Georges-Henri Cottet (1) , Emmanuel Maitre (1)

1 LMC - IMAG - Laboratoire de Modélisation et Calcul

This paper is devoted to the derivation and the validation of a level set method for fluid-structure interaction problems with immersed surfaces. The test case of a pressurized membrane is used to compare our method to Peskin's Immersed Boundary methods in the two-dimensional case and to demonstrate its capabilities for three-dimensional flows. The method in particular exhibits appealing mass and energy conservation properties.

Mots clés: fluid-structure; immersed boundary method; level set

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Georges-Henri Cottet, Emmanuel Maitre. A level set method for fluid-structure interactions with immersed surfaces. Mathematical Models and Methods in Applied Sciences, 2006, 16 (3), pp.415-438. ⟨10.1142/S0218202506001212⟩. ⟨hal-00388171⟩