An efficient threshold dynamics method for wetting on rough surfaces
An efficient threshold dynamics method for wetting on rough surfaces
复制标题
粗糙表面润湿的有效阈值动力学方法
DOI：
10.1016/j.jcp.2016.11.008
复制
发表时间：
2017-02-01
影响因子：
4.1
通讯作者：
Wang, Xiao-Ping
中科院分区：
文献类型：
--
作者：
Xu, Xianmin;Wang, Dong;Wang, Xiao-Ping
Merriman、Bence 和 Osher (MBO) 开发的阈值动力学方法是一种通过平均曲率流模拟界面远离固体边界时运动的有效方法。将 MBO 类型方法直接推广到与固体边界相交的界面的润湿问题并不容易，因为在具有润湿边界条件的一般域中求解热方程不如使用原始 MBO 方法有效。与远离边界的界面动力学相比，接触点的动力学也遵循不同的规律。在本文中，我们开发了一种有效的体积保持阈值动力学方法来模拟粗糙表面的润湿。该方法基于在包括固相的扩展域上函数的加权表面积的最小化。该方法简单、稳定，每个时间步的复杂度为 O (N log N)，并且对固体边界的不均匀性或粗糙度不敏感。 (C) 2016 Elsevier Inc. 保留所有权利。
The threshold dynamics method developed by Merriman, Bence and Osher (MBO) is an efficient method for simulating the motion by mean curvature flow when the interface is away from the solid boundary. Direct generalization of MBO-type methods to the wetting problem with interfaces intersecting the solid boundary is not easy because solving the heat equation in a general domain with a wetting boundary condition is not as efficient as it is with the original MBO method. The dynamics of the contact point also follows a different law compared with the dynamics of the interface away from the boundary. In this paper, we develop an efficient volume preserving threshold dynamics method for simulating wetting on rough surfaces. This method is based on minimization of the weighted surface area functional over an extended domain that includes the solid phase. The method is simple, stable with O (N log N) complexity per time step and is not sensitive to the inhomogeneity or roughness of the solid boundary. (C) 2016 Elsevier Inc. All rights reserved.