@Article{CiCP-18-1,
author = {},
title = {Numerical Simulation for Moving Contact Line with Continuous Finite Element Schemes},
journal = {Communications in Computational Physics},
year = {2015},
volume = {18},
number = {1},
pages = {180--202},
abstract = {<p style="text-align: justify;">In this paper, we compute a phase field (diffuse interface) model of Cahn-Hilliard
type for moving contact line problems governing the motion of isothermal
multiphase incompressible fluids. The generalized Navier boundary condition proposed
by Qian et al. [1] is adopted here. We discretize model equations using a continuous
finite element method in space and a modified midpoint scheme in time. We
apply a penalty formulation to the continuity equation which may increase the stability
in the pressure variable. Two kinds of immiscible fluids in a pipe and droplet displacement
with a moving contact line under the effect of pressure driven shear flow
are studied using a relatively coarse grid. We also derive the discrete energy law for
the droplet displacement case, which is slightly different due to the boundary conditions.
The accuracy and stability of the scheme are validated by examples, results and
estimate order.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.170314.160115a},
url = {https://global-sci.com/article/80316/numerical-simulation-for-moving-contact-line-with-continuous-finite-element-schemes}
}