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.

DOI: https://doi.org/10.1016/j.jcpx.2019.100010

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.

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About

• Item ORO ID
• 59261
• Item Type
• Journal Item
• ISSN
• 2590-0552
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Transfer in: Fluid Processes in Smart Microengineered Devices: Hydrodynamics and Thermodynamics in Microspace	EP/L027186/1	EPSRC (Engineering and Physical Sciences Research Council)

• Keywords
• wetting; diffuse interface theory; finite element method; Cahn-Hilliard equation; adaptive time step
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2019 The Authors
• Depositing User
• Marc Pradas