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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 PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN0271-2091
Volume84Issue:5Pages:268-291
AbstractIn 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.
Keywordmoving contact line general Navier boundary condition(GNBC) sharp interface level set Nitsche's method extended finite element method
DOI10.1002/fld.4349
Language英语
Funding ProjectSRF for ROCS, SEM ; NSFC[11571354]
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000401151300002
PublisherWILEY
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25455
Collection计算数学与科学工程计算研究所
Affiliation1.Rhein Westfal TH Aachen, Inst Geometrie & Prakt Mathemat, D-52056 Aachen, Germany
2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, NCMIS,AMSS, Beijing 100190, Peoples R China
Recommended Citation
GB/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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