Wetting boundary condition for the color-gradient lattice Boltzmann method: Validation with analytical and experimental data
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Published version
Author(s)
Akai, T
Bijeljic, B
Blunt, MJ
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.
Date Issued
2018-06-01
Date Acceptance
2018-03-12
Citation
Advances in Water Resources, 2018, 116, pp.56-66
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/
)
The
Authors.
Published
by
Elsevier
Ltd.
This
is
an
open
access
article
under
the
CC
BY
license.
(
http://creativecommons.org/licenses/by/4.0/
)
Subjects
0905 Civil Engineering
0907 Environmental Engineering
Environmental Engineering
Publication Status
Published
Date Publish Online
2018-04-03