An efficient diffusion generated motion method for wetting dynamics
An efficient diffusion generated motion method for wetting dynamics
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DOI：
10.1016/j.jcp.2021.110476
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发表时间：
2020-05
期刊：
影响因子：
--
通讯作者：
Song Lu;Xianmin Xu
中科院分区：
文献类型：
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作者：
Song Lu;Xianmin Xu
利用Onsager变分原理作为逼近工具，我们发展了一种新的求解润湿问题的扩散生成运动方法。该方法使用带符号的距离函数来表示液体和蒸汽表面之间的界面。在每次迭代中，除了简单的再距离步骤和体积校正步骤之外，还针对一个时间步长求解具有线性边界条件的线性扩散方程。即使在三相接触点附近，该方法对于时间步长也具有一阶收敛速度。通过对几种几何形状的基片流动的细致研究，分析了它的能量稳定性。数值算例表明，该方法可用于模拟非均匀表面上的复杂润湿问题。
By using the Onsager variational principle as an approximation tool, we develop a new diffusion generated motion method for wetting problems. The method uses a signed distance function to represent the interface between the liquid and vapor surface. In each iteration, a linear diffusion equation with a linear boundary condition is solved for one time step in addition to a simple re-distance step and a volume correction step. The method has a first-order convergence rate with respect to the time step size even in the vicinity three-phase contact points. Its energy stability property is analyzed by careful studies for some geometric flows on substrates. Numerical examples show that the method can be used to simulate complicated wetting problems on inhomogeneous surfaces.