Finite element methods for a class of continuum models for immiscible flows with moving contact lines
文献类型：期刊论文
| 作者 | Reusken, Arnold1; Xu, Xianmin2 ; Zhang, Liang1
|
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
 |
| 出版日期 | 2017-06-20 |
| 卷号 | 84期号:5页码:268-291 |
| 关键词 | moving contact line general Navier boundary condition(GNBC) sharp interface level set Nitsche's method extended finite element method |
| ISSN号 | 0271-2091 |
| DOI | 10.1002/fld.4349 |
| 英文摘要 | 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. |
| 资助项目 | SRF for ROCS, SEM ; NSFC[11571354] |
| WOS研究方向 | Computer Science ; Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000401151300002 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25454]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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