An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods
Frank F, Liu C, Scanziani A, Alpak FO, Rivière B (2018)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2018
Journal
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Book Volume: 523
Pages Range: 282–291
DOI: 10.1016/j.jcis.2018.02.075
Abstract
We consider an energy-based boundary condition to impose an equilibrium wetting angle for the Cahn-Hilliard-Navier-Stokes phase-field model on voxel-set-type computational domains. These domains typically stem from mu CT (micro computed tomography) imaging of porous rock and approximate a (on mu m scale) smooth domain with a certain resolution Planar surfaces that are perpendicular to the main axes are naturally approximated by a layer of voxels However, planar surfaces in any other directions and curved surfaces yield a jagged/topologically rough surface approximation by voxels. For the standard Cahn-Hilliard formulation, where the contact angle between the diffuse interface and the domain boundary (fluid-solid interface/wall) is 90 degrees, jagged surfaces have no impact on the contact angle. However, a prescribed contact angle smaller or larger than 90 degrees on jagged voxel surfaces is amplified. As a remedy, we propose the introduction of surface energy correction factors for each fluid-solid voxel face that counterbalance the difference of the voxel-set surface area with the underlying smooth one. The discretization of the model equations is performed with the discontinuous Galerkin method However, the presented semi-analytical approach of correcting the surface energy is equally applicable to other direct numerical methods such as finite elements, finite volumes, or finite differences, since the correction factors appear in the strong formulation of the model. (C) 2018 Elsevier Inc. All rights reserved.
Authors with CRIS profile
Involved external institutions
Rice University
United States (USA) (US)
Shell Global Solutions International B.V.
Netherlands (NL)
Imperial College London / The Imperial College of Science, Technology and Medicine
United Kingdom (GB)
United States (USA) (US)
Shell Global Solutions International B.V.
Netherlands (NL)
Imperial College London / The Imperial College of Science, Technology and Medicine
United Kingdom (GB)
How to cite
APA:
Frank, F., Liu, C., Scanziani, A., Alpak, F.O., & Rivière, B. (2018). An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods. Journal of Colloid and Interface Science, 523, 282–291. https://dx.doi.org/10.1016/j.jcis.2018.02.075
MLA:
Frank, Florian, et al. "An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods." Journal of Colloid and Interface Science 523 (2018): 282–291.
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