  The movement of the triple contact line plays a crucial role in many
applications such as ink-jet printing, liquid coating and drainage (imbibition)
in porous media. To design accurate computational tools for these applications,
predictive models of the moving contact line are needed. However, the basic
mechanisms responsible for movement of the triple contact line are not well
understood but still debated. We investigate the movement of the contact line
between water, vapour and a silica-like solid surface under steady conditions
in low capillary number regime. We use molecular dynamics (MD) with an
atomistic water model to simulate a nanoscopic drop between two moving plates.
We include hydrogen bonding between the water molecules and the solid
substrate, which leads to a sub-molecular slip length. We benchmark two
continuum methods, the Cahn-Hilliard phase-field (PF) model and a
volume-of-fluid (VOF) model, against MD results. We show that both continuum
models can reproduce the statistical measures obtained from MD reasonably well,
with a trade-off in accuracy. We demonstrate the importance of the phase field
mobility parameter and the local slip length in accurately modelling the moving
contact line.
