An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Frank F, Liu C, Scanziani A, Alpak FO, Rivière B
Zeitschrift: Journal of Colloid and Interface Science
Verlag: ACADEMIC PRESS INC ELSEVIER SCIENCE
Jahr der Veröffentlichung: 2018
Band: 523
Seitenbereich: 282–291
ISSN: 0021-9797


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.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Frank, Florian Prof. Dr.
Professur für Angewandte Mathematik (Mathematische Modellierung)


Einrichtungen weiterer Autorinnen und Autoren

Imperial College London / The Imperial College of Science, Technology and Medicine
Rice University
Shell Global Solutions International B.V.


Zitierweisen

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.

BibTeX: 

Zuletzt aktualisiert 2018-27-11 um 13:53