Simple Representation of Contact-Line Dynamics in a Level-Set Model of an Immiscible Fluid Interface

We describe a macroscopic level-set method for handling contact-line motion at a solid interface and extract the relationship between an apparent contact angle and the contact-line slip velocity in a simplified contact-line scenario, confirming a theoretical argument for the force balance in the vicinity of the contact line. This approach offers a way to incorporate contact-line dynamics within level-set methods.