Contact line hydrodynamics with SPH

Surface tension effects can dominate multi-phase flows when the length scales of the problem are small. The resulting Capillary forces at a phase interface between two immiscible fluids are proportional to the local curvature of the flow and try to minimize the interfacial area. A more complex situation occurs when three phases are in contact or when two phases are in contact with a wall. The simulation of the contact line at a wall is still a challenging task since the motion of the contact line is contradictory to the no-slip assumption at walls. In this work we present a multi-phase SPH method considering surface tension effects that is capable of simulating contact line problems. Based on previous works [4] we revisit our finite-width interface model and introduce a new stress boundary condition at the wall.