標題: An augmented method for free boundary problems with moving contact lines
作者: Li, Zhilin
Lai, Ming-Chih
He, Guowei
Zhao, Hongkai
應用數學系
數學建模與科學計算所(含中心)
Department of Applied Mathematics
Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics
關鍵字: Moving contact line;Free boundary problem;Triple junction;One-phase flow;Navier-Stokes equations;Embedding technique;Immersed interface method;Irregular domain;Augmented method
公開日期: 1-六月-2010
摘要: 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.
URI: http://dx.doi.org/10.1016/j.compfluid.2010.01.013
http://hdl.handle.net/11536/5377
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2010.01.013
期刊: COMPUTERS & FLUIDS
Volume: 39
Issue: 6
起始頁: 1033
結束頁: 1040
顯示於類別:期刊論文


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