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 Finite element methods for a class of continuum models for immiscible flows with moving contact lines Reusken, Arnold1; Xu, Xianmin2; Zhang, Liang1 2017-06-20 Source Publication INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS ISSN 0271-2091 Volume 84Issue:5Pages:268-291 Abstract In this paper, we present a finite element method for two-phase incompressible flows with moving contact lines. We use a sharp interface Navier-Stokes model for the bulk phase fluid dynamics. Surface tension forces, including Marangoni forces and viscous interfacial effects, are modeled. For describing the moving contact lines, we consider a class of continuum models that contains several special cases known from the literature. For the whole model, describing bulk fluid dynamics, surface tension forces, and contact line forces, we derive a variational formulation and a corresponding energy estimate. For handling the evolving interface numerically, the level-set technique is applied. The discontinuous pressure is accurately approximated by using a stabilized extended finite element space. We apply a Nitsche technique to weakly impose the Navier slip conditions on the solid wall. A unified approach for discretization of the (different types of) surface tension forces and contact line forces is introduced. Results of numerical experiments are presented, which illustrate the performance of the solver. Copyright (c) 2016 John Wiley & Sons, Ltd. Keyword moving contact line general Navier boundary condition(GNBC) sharp interface level set Nitsche's method extended finite element method DOI 10.1002/fld.4349 Language 英语 Funding Project SRF for ROCS, SEM ; NSFC[11571354] WOS Research Area Computer Science ; Mathematics ; Mechanics ; Physics WOS Subject Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas WOS ID WOS:000401151300002 Publisher WILEY Citation statistics Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS] Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/25455 Collection 计算数学与科学工程计算研究所 Affiliation 1.Rhein Westfal TH Aachen, Inst Geometrie & Prakt Mathemat, D-52056 Aachen, Germany2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, NCMIS,AMSS, Beijing 100190, Peoples R China Recommended CitationGB/T 7714 Reusken, Arnold,Xu, Xianmin,Zhang, Liang. Finite element methods for a class of continuum models for immiscible flows with moving contact lines[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2017,84(5):268-291. APA Reusken, Arnold,Xu, Xianmin,&Zhang, Liang.(2017).Finite element methods for a class of continuum models for immiscible flows with moving contact lines.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,84(5),268-291. MLA Reusken, Arnold,et al."Finite element methods for a class of continuum models for immiscible flows with moving contact lines".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 84.5(2017):268-291.
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