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An Adaptive Threshold Dynamics Method for Three-Dimensional on Surfaces
Xu, Xianmin1,2; Ying, Wenjun3,4
2021
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN1815-2406
Volume29Issue:1Pages:57-79
AbstractWe 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 theory for the apparent contact angle on rough and chemically patterned surfaces.
KeywordAdaptive threshold dynamics method wetting
DOI10.4208/cicp.OA-2019-0194
Indexed BySCI
Language英语
Funding ProjectNSFC[DMS11971469] ; NSFC[DMS-11771290] ; National Key R&D Program of China[2018YFB0704304] ; National Key R&D Program of China[2018YFB0704300]
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000595171300002
PublisherGLOBAL SCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/57823
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Xianmin
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China
4.Shanghai Jiao Tong Univ, Inst Nat Sci, Shanghai 200240, Peoples R China
Recommended Citation
GB/T 7714
Xu, Xianmin,Ying, Wenjun. An Adaptive Threshold Dynamics Method for Three-Dimensional on Surfaces[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2021,29(1):57-79.
APA Xu, Xianmin,&Ying, Wenjun.(2021).An Adaptive Threshold Dynamics Method for Three-Dimensional on Surfaces.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,29(1),57-79.
MLA Xu, Xianmin,et al."An Adaptive Threshold Dynamics Method for Three-Dimensional on Surfaces".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 29.1(2021):57-79.
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