  We extend a recently proposed ternary free energy lattice Boltzmann model
with high density contrast, by incorporating wetting boundaries at solid walls.
The approaches are based on forcing and geometric schemes, with implementations
optimised for ternary (and more generally higher order multicomponent) models.
Advantages and disadvantages of each method are addressed by performing both
static and dynamic tests, including the capillary filling dynamics of a liquid
displacing the gas phase, and the self-propelled motion of a train of drops.
Furthermore, we measure dynamic angles and show that the slip length critically
depends on the equilibrium value of the contact angles, and whether it belongs
to liquid-liquid or liquid-gas interfaces. These results validate the model
capabilities of simulating complex ternary fluid dynamic problems near solid
boundaries, for example drop impact solid substrates covered by a lubricant
layer.
