Level-Set method and stability condition for curvature-driven flows

Cedric Galusinski (1, 2) , Paul Vigneaux (3, 4)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 IMB - Institut de Mathématiques de Bordeaux
4 MC2 - Modélisation, contrôle et calcul

We consider models for the simulation of curvature-driven incompressible bifluid flows, where the surface tension term is discretized explicitly. From this formulation a numerical stability condition arises for which we present a new theoretical estimation for low and medium Reynolds numbers. We illustrate our analysis with numerical simulations of microfluidic flows using Level Set method. Finally, we propose a method to reduce computational cost induced by this stability condition for low flow velocities.

Mots clés: stability condition; bifluid flow; surface tension; level set; microfluidics

Domaines: Analyse numérique [math.NA]

Cedric Galusinski, Paul Vigneaux. Level-Set method and stability condition for curvature-driven flows. Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2007, 344 (11), pp.703-708. ⟨10.1016/j.crma.2007.05.001⟩. ⟨hal-00193189⟩