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题名An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
作者
发表日期2020-03-15
发表期刊Journal of Computational Physics
ISSN/eISSN0021-9991
卷号405
摘要

In this paper, we focus on modeling and simulation of two-phase flow problems with moving contact lines and variable density. A thermodynamically consistent phase-field model with general Navier boundary condition is developed based on the concept of quasi-incompressibility and the energy variational method. A mass conserving C finite element scheme is proposed to solve the PDE system. Energy stability is achieved at the fully discrete level. Various numerical results confirm that the proposed scheme for both P element and P element are energy stable.

关键词C0 finite element Energy stability Large density ratio Moving contact lines Phase-field method Quasi-incompressible
DOI10.1016/j.jcp.2019.109179
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收录类别SCIE
语种英语English
WOS研究方向Computer Science ; Physics
WOS类目Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号WOS:000514823000005
引用统计
被引频次:12[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/1089
专题理工科技学院
通讯作者Xu, Shixin
作者单位
1.Department of Mathematics,University of Dundee,Dundee,DD1 4HN,United Kingdom
2.Duke Kunshan University,Kunshan,8 Duke Ave,China
3.Joint Mathematical Research Centre of Beijing Normal University,BNU-HKBU United International College,Zhuhai,China
4.Department of Mathematics and Statistics,York University,Toronto,Canada
5.Centre for Quantitative Analysis and Modelling,Fields Institute for Research in Mathematical Sciences,Toronto,Canada
6.Department of Mathematics,University of California,Riverside,Riverside,900 University Avenue,United States
推荐引用方式
GB/T 7714
Shen, Lingyue,Huang, Huaxiong,Lin, Pinget al. An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density[J]. Journal of Computational Physics, 2020, 405.
APA Shen, Lingyue, Huang, Huaxiong, Lin, Ping, Song, Zilong, & Xu, Shixin. (2020). An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Journal of Computational Physics, 405.
MLA Shen, Lingyue,et al."An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density". Journal of Computational Physics 405(2020).
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