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An augmented method for free boundary problems with moving contact lines
Li ZL; Lai MC; He GW(何国威); Zhao HK
Source PublicationComputers & Fluids
AbstractAn augmented immersed interface method (IIM) is proposed for simulating one-phase moving contact line problems in which a liquid drop spreads or recoils on a solid substrate. While the present two-dimensional mathematical model is a free boundary problem, in our new numerical method, the fluid domain enclosed by the free boundary is embedded into a rectangular one so that the problem can be solved by a regular Cartesian grid method. We introduce an augmented variable along the free boundary so that the stress balancing boundary condition is satisfied. A hybrid time discretization is used in the projection method for better stability. The resultant Helmholtz/Poisson equations with interfaces then are solved by the IIM in an efficient way. Several numerical tests including an accuracy check, and the spreading and recoiling processes of a liquid drop are presented in detail. (C) 2010 Elsevier Ltd. All rights reserved.
Indexed BySCI
WOS IDWOS:000277222100011
WOS Research AreaComputer Science ; Mechanics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mechanics
Funding OrganizationUS-ARO [56349-MA, 49308-MA] ; US-AFSOR [FA9550-09-1-0520] ; NSF [0911434] ; National Science Council of Taiwan [NSC-97-2628-M-009-007-MY3] ; MoE-ATU project
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Cited Times:20[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Corresponding AuthorLi ZL
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GB/T 7714
Li ZL,Lai MC,He GW,et al. An augmented method for free boundary problems with moving contact lines[J]. Computers & Fluids,2010,39(6):1033-1040.
APA Li ZL,Lai MC,何国威,&Zhao HK.(2010).An augmented method for free boundary problems with moving contact lines.Computers & Fluids,39(6),1033-1040.
MLA Li ZL,et al."An augmented method for free boundary problems with moving contact lines".Computers & Fluids 39.6(2010):1033-1040.
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