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

Aymard, Benjamin; Vaes, Urbain; Pradas, Marc and Kallidasis, Serafim (2019). A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modeling of wetting phenomena. Journal of Computational Physics: X, 2, article no. 100010.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1016/j.jcpx.2019.100010
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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.

Item Type: Journal Item
Copyright Holders: 2019 The Authors
ISSN: 2590-0552
Project Funding Details:
Funded Project NameProject IDFunding Body
Transfer in: Fluid Processes in Smart Microengineered Devices: Hydrodynamics and Thermodynamics in MicrospaceEP/L027186/1EPSRC (Engineering and Physical Sciences Research Council)
Keywords: wetting; diffuse interface theory; finite element method; Cahn-Hilliard equation; adaptive time step
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 59261
Depositing User: Marc Pradas
Date Deposited: 26 Feb 2019 09:34
Last Modified: 25 May 2019 08:40
URI: http://oro.open.ac.uk/id/eprint/59261
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