A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena
File(s)
Published version
Author(s)
Aymard, B
Vaes, U
Pradas, M
Kalliadasis, S
Type
Journal Article
Abstract
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 complex two-dimensional domain and three-dimensional diffusion through a porous medium.
Date Issued
2019-03-01
Date Acceptance
2018-11-26
Citation
Journal of Computational Physics: X, 2019, 2
ISSN
2590-0552
Publisher
Elsevier
Journal / Book Title
Journal of Computational Physics: X
Volume
2
Copyright Statement
© 2019 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Sponsor
Commission of the European Communities
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
247031
EP/L020564/1
EP/L027186/1
Publication Status
Published
Article Number
100010
Date Publish Online
2019-02-27