  Wetting is fundamental to many technological applications that involve the
motion of the fluid-fluid interface on a solid. While static wetting is well
understood in the context of thermodynamic equilibrium, dynamic wetting is more
complicated in that liquid interactions with a solid phase, possibly on
molecular scales, can strongly influence the macroscopic scale dynamics. The
problem with continuum models of wetting phenomena is then that they ought to
be augmented with microscopic models to describe the molecular neighborhood of
the moving contact line. In this review, widely used models for the computation
of wetting flows are summarized first, followed by an overview of direct
numerical simulations based on the Volume-of-Fluid approach. Recent
developments in the Volume-of-Fluid simulations of the wetting are then
reviewed, with a particular attention paid on combining macro-scale simulations
with the hydrodynamic theory near the moving contact line, as well as including
a microscopic description by coupling with the van der Waals interface model.
Finally, the extension to modeling the contact line motion on non-flat surfaces
is surveyed, followed by hot topics in nucleate boiling.
