An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces

作     者：Xianmin Xu Wenjun Ying 

作者机构：LSECICMSECNCMISAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China School of Mathematical SciencesMOE-LSC and Institute of Natural ScienceShanghai Jiao Tong UniversityShanghai 200240China 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2021年第29卷第1期

页      面：57-79页

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported in part by NSFC grants DMS-11971469,DMS-11771290 the National Key R&D Program of China under Grant 2018YFB0704304,Grant 2018YFB0704300 

主　　题：Adaptive threshold dynamics method wetting 

摘      要：We propose an adaptive threshold dynamics method for wetting problems in three space *** method is based on solving a linear heat equation and a thresholding step in each *** heat equation is discretized by a cell-centered finite volume method on an adaptively refined *** efficient technique for volume conservation is developed on the nonuniform meshes based on a quick-sorting *** this method,we compute some interesting wetting problems on complicated *** results verify some recent theory for the apparent contact angle on rough and chemically patterned surfaces.