论文标题
一种有效的扩散产生的运动方法，用于润湿动力学
An efficient diffusion generated motion method for wetting dynamics
论文作者
论文摘要
通过使用Onsager变分原理作为近似工具，我们开发了一种新的扩散运动方法来润湿问题。该方法使用签名的距离函数来表示液体和蒸气表面之间的界面。在每次迭代中，除了简单的重新距离步骤和音量校正步骤外，还可以解决具有线性边界条件的线性扩散方程。该方法甚至在附近的三相接触点，相对于时间步长的一阶收敛速率。通过仔细研究对底物的某些几何流量进行仔细研究，可以分析其能量稳定性。数值示例表明，该方法可用于模拟不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 analysed 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.
