TY - JOUR
T1 - An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces
AU - Xu , Xianmin
AU - Ying , Wenjun
JO - Communications in Computational Physics
VL - 1
SP - 57
EP - 79
PY - 2020
DA - 2020/11
SN - 29
DO - http://doi.org/10.4208/cicp.OA-2019-0194
UR - https://global-sci.org/intro/article_detail/cicp/18422.html
KW - Adaptive, threshold dynamics method, wetting.
AB - <p style="text-align: justify;">We propose an adaptive threshold dynamics method for wetting problems
in three space dimensions. The method is based on solving a linear heat equation
and a thresholding step in each iteration. The heat equation is discretized by a cell-centered finite volume method on an adaptively refined mesh. An efficient technique
for volume conservation is developed on the nonuniform meshes based on a quick-sorting operation. By this method, we compute some interesting wetting problems on
complicated surfaces. Numerical results verify some recent theories for the apparent
contact angle on rough and chemically patterned surfaces.</p>