We study the static and dynamical behavior of the contact line between two fluids and a solid plate by means of the Lattice Boltzmann method (LBM). The different fluid phases and their contact with the plate are simulated by means of standard Shan-Chen models. We investigate different regimes and compare the multicomponent vs. the multiphase LBM models near the contact line. A static interface profile is attained with the multiphase model just by balancing the hydrostatic pressure (due to gravity) with a pressure jump at the bottom. In order to study the same problem with the multicomponent case we propose and validate an idea of a body force acting only on one of the two fluid components. In order to reproduce results matching an infinite bath, boundary conditions at the bath side play a key role. We quantitatively compare open and wall boundary conditions and study their influence on the shape of the meniscus against static and lubrication theory solution.
Srivastava, S., Perlekar, P., Biferale, L., Sbragaglia, M., Thije Boonkkamp, ten, J. H. M., & Toschi, F. (2013). Study of fluid interfaces and moving contact lines using the lattice Boltzmann method. Communications in Computational Physics, 13(3), 725-740. https://doi.org/10.4208/cicp.411011.310112s