Homogenization of evolutionary Stokes–Cahn–Hilliard equations for two-phase porous media flow
Ľubomír Baňas, Hari Shankar Mahato · Asymptotic Analysis · 2017
We consider homogenization of a phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects. The pore-scale model consists of a strongly coupled system of time-dependent Stokes–Cahn–Hilliard equations. In the considered model the fluids are separated by an evolving diffuse interface of a finite width, which is assumed to be independent of the scale parameter ϵ . We obtain upscaled equations for the considered model by a rigorous two-scale convergence approach.