A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modeling of wetting phenomena

Benjamin Aymard, Urbain Vaes, Marc Pradas, Serafim Kalliadasis
2019 Journal of Computational Physics: X  
We propose a new numerical method to solve the Cahn-Hilliard equation coupled with non-linear wetting boundary conditions. We show that the method is mass-conservative and that the discrete solution satisfies a discrete energy law similar to the one satisfied by the exact solution. We perform several tests inspired by realistic situations to verify the accuracy and performance of the method: wetting of a chemically heterogeneous substrate in three dimensions, wetting-driven nucleation in a
more » ... ucleation in a complex two-dimensional domain and three-dimensional diffusion through a porous medium.
doi:10.1016/j.jcpx.2019.100010 dblp:journals/jcphyx/AymardVPK19 fatcat:f4f4gvjburcppkcndnht5iv5wq