A volume of fluid method for simulating fluid/fluid interfaces in contact with solid boundaries
A volume of fluid method for simulating fluid/fluid interfaces in contact with solid boundaries
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DOI：
10.1016/j.jcp.2015.03.051
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发表时间：
2014-09
期刊：
影响因子：
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通讯作者：
K. Mahady;S. Afkhami;L. Kondic
中科院分区：
文献类型：
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作者：
K. Mahady;S. Afkhami;L. Kondic
在本文中，我们提出了一种新的方法来模拟流体/固体相互作用力的直接求解器的Navier-Stokes方程基于体积跟踪方法。该模型的关键部分是将流固相互作用力显式地包含在控制方程中。我们证明了相互作用力导致了部分润湿条件，特别是给出了平衡接触角的自然定义。我们提出了两种数值方法来离散进入模型的相互作用力；这两种方法在复杂性和收敛方面有所不同。为了验证计算框架，我们考虑应用这些模型来模拟平衡状态下的二维液滴，以及液滴的扩散。我们证明，该模型通过包含基本物理原理，捕捉到了任意接触角下的接触线动力学。更广泛地说，这种方法允许采用新的方法来研究接触线，以及以前无法在直接模拟中解决的各种现象。
In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier–Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit inclusion of the fluid/solid interaction forces into the governing equations. We show that the interaction forces lead to a partial wetting condition and in particular to a natural definition of the equilibrium contact angle. We present two numerical methods to discretize the interaction forces that enter the model; these two approaches differ in complexity and convergence. To validate the computational framework, we consider the application of these models to simulate two-dimensional drops at equilibrium, as well as drop spreading. We demonstrate that the model, by including the underlying physics, captures contact line dynamics for arbitrary contact angles. More generally, the approach permits novel means to study contact lines, as well as a diverse range of phenomena that previously could not be addressed in direct simulations.