Finite element methods for a class of continuum models for immiscible flows with moving contact lines

doi:10.1002/fld.4349

	Finite element methods for a class of continuum models for immiscible flows with moving contact lines
	Reusken, Arnold 1; Xu, Xianmin2 ; Zhang, Liang 1
	2017-06-20
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN	0271-2091
卷号	84 期号:5 页码:268-291
摘要	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.
关键词	moving contact line general Navier boundary condition(GNBC) sharp interface level set Nitsche's method extended finite element method
DOI	10.1002/fld.4349
语种	英语
资助项目	SRF for ROCS, SEM ; NSFC[11571354]
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
WOS记录号	WOS:000401151300002
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25455
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Liang
作者单位	1.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
推荐引用方式 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.