## 留言板

 引用本文: 李孝伟, 樊俊飞. 一种自由界面追踪的模板化VOF方法[J]. 应用数学和力学, 2008, 29(7): 799-805.
LI Xiao-wei, FAN Jun-fei. A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface[J]. Applied Mathematics and Mechanics, 2008, 29(7): 799-805.
 Citation: LI Xiao-wei, FAN Jun-fei. A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface[J]. Applied Mathematics and Mechanics, 2008, 29(7): 799-805.

## 一种自由界面追踪的模板化VOF方法

###### 作者简介:李孝伟(1969- ),男,四川资中人,副教授,博士(联系人.Tel:+86-21-56385962;E-mail:xwli@staff.shu.edu.cn).
• 中图分类号: O351.1

## A Stencillike Volume-of-Fluid (VOF) Method for Tracking Free Interface

• 摘要: 发展了一种模板化的volume-of-fluid (VOF)方法．该方法根据自由界面的法向建立一个模板，然后由已知的网格单元上的流体体积比值确定出自由界面的准确位置，使得在二维情形下一个网格单元被自由界面切割的形式只有3种．另一方面，引入了单元边流体占有长度的概念，在此基础上建立了一个统一的流体占有面积模型，可以使得自由界面输运方程的求解有统一的算法．该方法不受网格单元形式的限制，并且容易推广到三维情形．算例表明，该方法能保证自由界面的跟踪精度．
•  [1] Hirt C W, Nichols B D. Volume of fluid (VOF) method for the dynamics of free boundaries[J].J Comput Phys,1981,39(1):201-225. [2] Noh W F, Woodward P R. SLIC (simple line interface calculation)[A].In: Van de Vooren A, Zandbergen P，Eds.Proceedings of Fifth International Conference on Fluid Dynamics, 59 of Lecture Notes in Physics[C].Berlin:Springer,1976,330-340. [3] Ashgriz N, Poo J Y.FLAIR: Flux line-segment model for advection and interface reconstruction[J].J Comput Phys,1991,93(2):449-468. [4] Youngs D L.Time-dependent multi-material flow with large fluid distortion[A].In:Morton K W,Baines M J,Eds.Numerical Methods for Fluid Dynamics[C].New York:Academic Press,1982,273-285. [5] Ubbink O, Issa R I.A method for capturing sharp fluid interfaces on arbitrary meshes[J].J Comput Phys,1999,153(1):26-50. [6] Gueyffier D, Nadim A,Li J,et al.Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows[J].J Comput Phys,1998,152(2):423-456. [7] Renardy Y, Renardy M.A parabolic reconstruction of surface tension for the volume-of-fluid method[J].J Comput Phys,2002,183(2):400-421. [8] Afkhami S, Bussmann M. Height function-based contact angles for VOF simulations of contact line phenomena[J].International Journal of Numerical Analysis and Modeling,2004,1(1):1-18. [9] Rider W J, Kothe B D.Reconstructing volume tracking[J].J Comput Phys,1998,141(2):112-152. [10] Harvie C J E, Fletcher D F.A new volume of fluid advection algorithm: The stream scheme[J].J Comput Phys,2000,162(1):1-32.

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##### 出版历程
• 收稿日期:  2007-07-23
• 修回日期:  2008-05-08
• 刊出日期:  2008-07-15

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