Abstract
Two novel boundary models for the moving particle semi-implicit method are proposed in this paper. These models precisely reproduce the dynamic behavior of a droplet on an inclined surface using a polygon wall model. The existing polygon wall model assumes that the surface is smooth and therefore cannot reproduce the dynamic contact angle correctly. In addition, droplet retention on a surface inclined at a low angle has not been reproduced in the literature. The proposed models take into account forces acting on droplets from surface features of the wall. These models are developed to reproduce the dynamic and static contact angle hysteresis in droplet sliding behavior that have been observed in experiments. Two-dimensional calculations of a droplet sliding down an inclined surface are performed. The proposed models are evaluated by comparing numerical results with experimental observations of droplets sliding on an inclined surface. This comparison confirms that the dynamic contact angle and sliding velocity can be simulated precisely. In addition, we found that our numerical results agree well with the Cox–Voinov law, which is used widely to evaluate dynamic contact angles.
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