Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model
Comparison of energy stable simulation of moving contact line problems using a thermodynamically consistent Cahn-Hilliard Navier-Stokes model
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DOI：
10.1016/j.jcp.2019.108959
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发表时间：
2018-09
期刊：
影响因子：
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通讯作者：
H. Bonart;Christian Kahle;J. Repke
中科院分区：
文献类型：
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作者：
H. Bonart;Christian Kahle;J. Repke
液滴沿固体表面沿着是自然界中经常观察到的现象，例如，树叶上的雨滴，以及在日常情况下，例如，在一个饮用玻璃杯里的水滴。为了模拟这种情况，我们使用相场方法。体模型由Abels等人（2012）[8]的热力学一致的Cahn-Hilliard Navier-Stokes模型给出。为了对接触线动力学进行建模，我们对流体应用了广义Navier边界条件，并对相场应用了Qian等人（2006）[7]中推导出的动态平流边界接触角条件。近年来，提出了几种方案来解决这个模型的数值。虽然它们在复杂性方面存在很大差异，但在热力学一致性方面，它们都满足某些基本性质。然而，一个准确的比较方案的影响上的移动接触线很少发现。因此，我们周到地比较了质量的数值结果与三个不同的计划和两个不同的体能量势。特别地，我们讨论了不同方案对滑动液滴表观接触角的影响。
Liquid droplets sliding along solid surfaces are a frequently observed phenomenon in nature, e.g., raindrops on a leaf, and in everyday situations, e.g., drops of water in a drinking glass. To model this situation, we use a phase field approach. The bulk model is given by the thermodynamically consistent Cahn–Hilliard Navier–Stokes model from Abels et al. (2012) [8]. To model the contact line dynamics we apply the generalized Navier boundary condition for the fluid and the dynamically advected boundary contact angle condition for the phase field as derived in Qian et al. (2006) [7]. In recent years several schemes were proposed to solve this model numerically. While they widely differ in terms of complexity, they all fulfill certain basic properties when it comes to thermodynamic consistency. However, an accurate comparison of the influence of the schemes on the moving contact line is rarely found. Therefore, we thoughtfully compare the quality of the numerical results obtained with three different schemes and two different bulk energy potentials. Especially, we discuss the influence of the different schemes on the apparent contact angles of a sliding droplet.