Precursor simulations in spreading using a multi-mesh adaptive finite element method

doi:10.1016/j.jcp.2008.10.028

	Precursor simulations in spreading using a multi-mesh adaptive finite element method
	Di, Yana1 ; Wang, Xiao-Ping 2
	2009-03-20
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	228 期号:5 页码:1380-1390
摘要	Using the phase-field model for immiscible two-phase flows, we have numerically investigated the wetting dynamics. The long-range van der Waals forces towards the solid, which drive the spreading of the wetting phase into the nonwetting phase, have been explicitly taken into account in the governing equations. Our continuum model uses the generalized Navier boundary condition (GNBC) to account for the fluid slipping at the solid surface. The accurate description of the molecular-scale contact-line hydrodynamics makes the numerical simulations cost too much to abide. In this work, we propose an efficient multi-mesh adaptive finite element method which approximates different components of the solution (velocity, pressure and phase variable) on different h-adaptive meshes because of their strongly different local behaviors. That allows us to study the early stage of spreading, wherein the precursor is initiated and developed if the van der Waals forces are strong enough. We find that there is indeed a transition in the spreading behavior across a critical value of the Hamaker constant. In particular, this critical value is noted to be the one that separates the partial wetting from complete wetting. (c) 2008 Elsevier Inc. All rights reserved.
关键词	Multi-mesh Adaptive finite element Wetting and spreading Precursor film Diffuse-interface model
DOI	10.1016/j.jcp.2008.10.028
语种	英语
资助项目	National Science Foundation of China[10701075] ; Hong Kong RGC[CA05/06.SC01] ; Hong Kong RGC[RGC CERG 603107]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000263370600004
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8569
专题	计算数学与科学工程计算研究所
通讯作者	Di, Yana
作者单位	1.Chinese Acad Sci, Inst Computat Mathe & Sci Eng Comp, Acad Math & Syst Sci, Beijing, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Di, Yana,Wang, Xiao-Ping. Precursor simulations in spreading using a multi-mesh adaptive finite element method[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2009,228(5):1380-1390.
APA	Di, Yana,&Wang, Xiao-Ping.(2009).Precursor simulations in spreading using a multi-mesh adaptive finite element method.JOURNAL OF COMPUTATIONAL PHYSICS,228(5),1380-1390.
MLA	Di, Yana,et al."Precursor simulations in spreading using a multi-mesh adaptive finite element method".JOURNAL OF COMPUTATIONAL PHYSICS 228.5(2009):1380-1390.