An augmented method for free boundary problems with moving contact lines
| Data(s) |
2010
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|---|---|
| Resumo |
An 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. US-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 |
| Identificador | |
| Idioma(s) |
英语 |
| Fonte |
COMPUTERS & FLUIDS.2010,39(6):1033-1040 |
| Tipo |
期刊论文 |
