A geometric interpolation scheme for applying dynamic wetting to three-dimensional volume of fluid simulations

This paper presents a three-dimensional framework for simulating dynamic wetting phenomena using the volume of fluid method, implemented in Basilisk. A geometric interpolation scheme is developed to obtain an accurate and reliable value of the contact line velocity. To capture realistic wetting dynamics, a dynamic contact angle model is integrated that considers also contact angle hysteresis. The approach is validated against different numerical methods for computing the contact line velocity and various experimental results, including droplet spreading, splashing and sliding, where it demonstrates quantitative agreement with the three-dimensional wetting behavior observed. Additionally, a comparative analysis between dynamic and static contact angle models is performed.