Finite volume approximation of a degenerate immiscible two-phase flow model of {C}ahn-{H}illiard type
Résumé
We propose a two-point flux approximation Finite Volume scheme
for a model of incompressible and immiscible two-phase flow of Cahn-Hilliard
type with degenerate mobility. This model was derived from a variational
principle and can be interpreted as the Wasserstein gradient flow of the free
energy. The fundamental properties of the continuous model, namely the
positivity of the concentrations, the decay of the free energy, and the boundedness
of the Boltzmann entropy, are preserved by the numerical scheme.
Numerical simulations are provided to illustrate the behavior of the model
and of the numerical scheme.
Origine : Fichiers produits par l'(les) auteur(s)