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

Sebastian Minjeaud (1, 2)

1 CASTOR - Control, Analysis and Simulations for TOkamak Research
2 LJAD - Laboratoire Jean Alexandre Dieudonné

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 solutions 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 a triphasic Cahn-Hilliard/Navier-Stokes model. Numerical Methods for Partial Differential Equations, 2013, 29 (2), pp. 584- 618. ⟨10.1002/num.21721⟩. ⟨hal-00577226v2⟩