KMS Of Academy of mathematics and systems sciences, CAS
| An improved threshold dynamics method for wetting dynamics | |
Wang, Dong1; Wang, Xiao-Ping2; Xu, Xianmin3,4
| |
| 2019-09-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
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| ISSN | 0021-9991 |
| Volume | 392Pages:291-310 |
| Abstract | 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. |
| Keyword | Threshold dynamics method Wetting Contact point Young's angle Gaussian kernel |
| DOI | 10.1016/j.jcp.2019.04.037 |
| Language | 英语 |
| Funding Project | 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 Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000470110700015 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34922 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Wang, Xiao-Ping |
| Affiliation | 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 |
| Recommended Citation 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. |
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