An improved threshold dynamics method for wetting dynamics

doi:10.1016/j.jcp.2019.04.037

	An improved threshold dynamics method for wetting dynamics
	Wang, Dong 1; Wang, Xiao-Ping 2; Xu, Xianmin3,4
	2019-09-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	392 页码:291-310
摘要	We propose a modified threshold dynamics method for wetting dynamics, which significantly improves the behavior near the contact line compared to the previous method (J. Comput. Phys. 330 (2017) 510-528). The new method is also based on minimizing the functional consisting of weighted interface areas over an extended domain including the solid phase. However, each interface area is approximated by the Lyapunov functional with a different Gaussian kernel. We show that a correct contact angle (Young's angle) is obtained in the leading order by choosing correct Gaussian kernel variances. We also show the Gamma convergence of the functional to the total surface energy. The method is simple, unconditionally stable with O (NlogN) computational complexity per time step and is not sensitive to the inhomogeneity or roughness of the solid surface. It is also shown that the dynamics of the contact point is consistent with the dynamics of the interface away from the contact point. Numerical examples have shown significant improvements in the accuracy of the contact angle and the hysteresis behavior of the contact angle. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Threshold dynamics method Wetting Contact point Young's angle Gaussian kernel
DOI	10.1016/j.jcp.2019.04.037
语种	英语
资助项目	Hong Kong Research Grants Council (GRF)[16302715] ; Hong Kong Research Grants Council (GRF)[16324416] ; Hong Kong Research Grants Council (GRF)[16303318] ; Hong Kong Research Grants Council (NSFC-RGC joint research grant)[N-HKUST620/15] ; NSFC[11571354] ; NSFC[91630208]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000470110700015
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34922
专题	计算数学与科学工程计算研究所
通讯作者	Wang, Xiao-Ping
作者单位	1.Univ Utah, Dept Math, Salt Lake City, UT 84112 USA 2.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R China 3.Acad Math & Syst Sci, Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Dong,Wang, Xiao-Ping,Xu, Xianmin. An improved threshold dynamics method for wetting dynamics[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2019,392:291-310.
APA	Wang, Dong,Wang, Xiao-Ping,&Xu, Xianmin.(2019).An improved threshold dynamics method for wetting dynamics.JOURNAL OF COMPUTATIONAL PHYSICS,392,291-310.
MLA	Wang, Dong,et al."An improved threshold dynamics method for wetting dynamics".JOURNAL OF COMPUTATIONAL PHYSICS 392(2019):291-310.