An efficient threshold dynamics method for wetting on rough surfaces

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• 作者：Xianmin Xu^a ; ^{xmxu@lsec.cc.ac.cn} ; Dong Wang^b ; ^{dwangaf@connect.ust.hk} ; Xiao-Ping Wang^b ; ^{mawang@ust.hk}
• 关键词：Threshold dynamics method ; Wetting ; Rough surface
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：510-528
• 全文大小：1570 K
• 卷排序：330

文摘

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(Nlog⁡N)O(Nlog⁡N) complexity per time step and is not sensitive to the inhomogeneity or roughness of the solid boundary.