A physically consistent approach is introduced to simulate dynamics of droplets in contact with solid substrates. The numerical method is developed by introducing the molecular–kinetic model within the framework of the level-set/enriched finite element method and including the theoretically resolved sub-elemental hydrodynamics. The level-set method is customized to comply fully with the model acquired for the moving contact-line. The consistency of the proposed method is verified by comparing the simulation results with the theoretical predictions. In order to further validate the method, the spreading of a droplet is numerically modeled and compared rigorously with the experimental data reported in the literature. The proposed method is also employed to capture the evolution of a droplet trapped in a conical pore. All test-cases are simulated on three-dimensional computational domains.

引入了一种物理一致的方法来模拟与固体基质接触的液滴的动力学。数值方法是通过在水平集/富集有限元方法的框架内引入分子动力学模型并包括理论上解析的子元素流体动力学而开发的。水平集方法被定制为完全符合为移动接触线获得的模型。通过将仿真结果与理论预测进行比较，验证了所提出方法的一致性。为了进一步验证该方法，对液滴的扩散进行了数值模拟，并与文献中报告的实验数据进行了严格比较。所提出的方法还用于捕获被困在锥形孔中的液滴的演变。