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A finite-volume method for simulating contact lines on unstructured meshes in a conservative level-set framework
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2021-07-27 , DOI: 10.1016/j.jcp.2021.110582
Savinien Pertant , Manuel Bernard , Giovanni Ghigliotti , Guillaume Balarac

Accurate numerical simulation of moving contact lines on complex boundaries with surface wettability effect remains a challenging problem. In this paper, we introduce a robust and accurate method to perform 3D contact line simulations on unstructured meshes with an imposed contact angle. The contact angle is imposed through a sub-grid scale curvature term and the contact line motion is enabled thanks to partial slip on the wall. Moreover, an original strategy has been designed to improve normal and curvature computation at contact line from the level-set field. The whole method is validated on 2D and 3D test cases and shows good mass conservation properties. The drop detachment from a horizontal fiber due to gravity or surface tension is then investigated. For this purpose, dynamic mesh adaptation is used to keep high resolution around the interface with moderate number of cells. These realistic cases demonstrate the ability of the numerical method to handle surface wettability effects on resolved complex geometries.



中文翻译:

一种在保守水平集框架中模拟非结构网格上接触线的有限体积方法

具有表面润湿性效应的复杂边界上移动接触线的精确数值模拟仍然是一个具有挑战性的问题。在本文中,我们介绍了一种鲁棒且准确的方法来对具有强制接触角的非结构化网格执行 3D 接触线模拟。接触角是通过亚网格尺度曲率项施加的,并且由于壁上的部分滑动,接触线运动得以实现。此外,还设计了一种原始策略来改进来自水平集场的接触线处的法线和曲率计算。整个方法在 2D 和 3D 测试用例上得到验证,并显示出良好的质量守恒特性。然后研究由于重力或表面张力而从水平光纤上脱落的液滴。以此目的,动态网格自适应用于在具有中等数量单元的界面周围保持高分辨率。这些实际案例证明了数值方法处理对已解析复杂几何形状的表面润湿性影响的能力。

更新日期:2021-07-27
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