Simulating liquid–gas interfaces and moving contact lines with the immersed boundary method
Simulating liquid–gas interfaces and moving contact lines with the immersed boundary method
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DOI：
10.1063/5.0086452
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发表时间：
2022-05
影响因子：
4.6
通讯作者：
Michael Y. Li;Daniel Chin;Charles Puelz;P. Sanaei
中科院分区：
文献类型：
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作者：
Michael Y. Li;Daniel Chin;Charles Puelz;P. Sanaei
在这项工作中，我们使用四个扩展的浸入边界法来模拟固体表面上移动的液气界面。我们首先定义了一个移动接触线模型，并在浸入固体边界处实现了静动力摩擦条件。动态接触角是内生的而不是规定的，并且实体边界相对于时间可以是非平稳的。其次，我们用一个不涉及估计局部曲率的一般方程来模拟表面张力和杨氏力。在第三个扩展中，我们拼接液气界面来处理拓扑变化，例如液滴或气泡的聚并和分离。最后，我们重新采样液气界面标记，以确保在不施加人工力的情况下接近均匀分布。我们在非平凡的例子上证明了我们的方法的经验收敛性，并将它们应用于几个基准案例，包括在墙上滑动的液滴和上升的气泡。
In this work, we use the immersed boundary method with four extensions to simulate a moving liquid–gas interface on a solid surface. We first define a moving contact line model and implements a static-dynamic friction condition at the immersed solid boundary. The dynamic contact angle is endogenous instead of prescribed, and the solid boundary can be non-stationary with respect to time. Second, we simulate both a surface tension force and a Young's force with one general equation that does not involve estimating local curvature. In the third extension, we splice liquid–gas interfaces to handle topological changes, such as the coalescence and separation of liquid droplets or gas bubbles. Finally, we re-sample liquid–gas interface markers to ensure a near-uniform distribution without exerting artificial forces. We demonstrate empirical convergence of our methods on non-trivial examples and apply them to several benchmark cases, including a slipping droplet on a wall and a rising bubble.