We present a mesoscopic model able to capture the physics of drops moving across patterned surfaces. In this model, interfaces appear naturally, and both chemical and topological patterning can be incorporated with relative ease, making it particularly suitable to study the behaviour of evolving drops.We summarise results on drop dynamics, including drops spreading on a chemically patterned surface, using a hydrophobic grid to alleviate mottle and the transition and dynamics of drops moving across a superhydrophobic surface.