A coupling strategy based on anisotropic mesh adaptation for solving two- fuid fl ows

Thi Thu Cuc Bui (1) , Pascal Frey (1) , Bertrand Maury (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We propose a coupling strategy for solving efficiently bi uid ows based on the Stokes equations. Our approach relies on a level set formulation of the interface capturing problem, and involves a nite element discretization for the uid resolution, the method of characteristics for solving the advection of the interface and the anisotropic mesh adaptation of the computational domain in the vicinity of the interface for better accuracy.

Mots clés: two- uid ows; mesh adaptation; Stokes equation; advection; level sets

Domaines: Analyse numérique [cs.NA]

Thi Thu Cuc Bui, Pascal Frey, Bertrand Maury. A coupling strategy based on anisotropic mesh adaptation for solving two- fuid fl ows. International Journal for Numerical Methods in Fluids, 2011, A coupling strategy based on anisotropic mesh adaptation for solving two-fluid flows, 66 (Issue 10), pp.1226-1247. ⟨10.1002/fld.2307⟩. ⟨hal-00392101⟩