An unconditionally stable uncoupled scheme for the approximation of a triphasic Cahn-Hilliard/Navier-Stokes model

Sebastian Minjeaud (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We propose an original scheme for the time discretization of a triphasic Cahn-Hilliard/Navier-Stokes model. This scheme allows an uncoupled resolution of the discrete Cahn-Hilliard and Navier-Stokes system, is unconditionally stable and preserves, at the discrete level, the main properties of the continuous model. The existence of discrete solution is proved and a convergence study is performed in the case where the densities of the three phases are the same.

Domaines: Analyse numérique [math.NA]

Sebastian Minjeaud. An unconditionally stable uncoupled scheme for the approximation of a triphasic Cahn-Hilliard/Navier-Stokes model. 2011. ⟨hal-00577226v1⟩