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 |