Wetting boundary condition for the color-gradient lattice Boltzmann method: Validation with analytical and experimental data

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Title: Wetting boundary condition for the color-gradient lattice Boltzmann method: Validation with analytical and experimental data
Authors: Akai, T
Bijeljic, B
Blunt, MJ
Item Type: Journal Article
Abstract: In the color gradient lattice Boltzmann model (CG-LBM), a fictitious-density wetting boundary condition has been widely used because of its ease of implementation. However, as we show, this may lead to inaccurate results in some cases. In this paper, a new scheme for the wetting boundary condition is proposed which can handle complicated 3D geometries. The validity of our method for static problems is demonstrated by comparing the simulated results to analytical solutions in 2D and 3D geometries with curved boundaries. Then, capillary rise simulations are performed to study dynamic problems where the three-phase contact line moves. The results are compared to experimental results in the literature (Heshmati and Piri, 2014). If a constant contact angle is assumed, the simulations agree with the analytical solution based on the Lucas–Washburn equation. However, to match the experiments, we need to implement a dynamic contact angle that varies with the flow rate.
Issue Date: 1-Jun-2018
Date of Acceptance: 12-Mar-2018
URI: http://hdl.handle.net/10044/1/58841
DOI: https://dx.doi.org/10.1016/j.advwatres.2018.03.014
ISSN: 0309-1708
Publisher: Elsevier
Start Page: 56
End Page: 66
Journal / Book Title: Advances in Water Resources
Volume: 116
Copyright Statement: ©2018 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license. ( http://creativecommons.org/licenses/by/4.0/ )
Keywords: 0905 Civil Engineering
0907 Environmental Engineering
Environmental Engineering
Publication Status: Published
Open Access location: http://doi.org/10.1016/j.advwatres.2018.03.014
Online Publication Date: 2018-04-03
Appears in Collections:Earth Science and Engineering



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