一种自由界面追踪的模板化VOF方法

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 881-888 .

一种自由界面追踪的模板化VOF方法

李孝伟¹,樊俊飞²

1.上海大学上海市应用数学和力学研究所，上海 200072；
2.宝钢股份研究院（技术中心），上海 201900

收稿日期:2007-07-23 修回日期:2008-04-28 出版日期:2008-07-03 发布日期:2008-01-01
通讯作者: 李孝伟

A stencil-like volume of fluid (VOF) method for tracking free interface

LI Xiao-wei¹,FAN Jun-fei²

1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P. R. China;
2. Research Institute (R&D Center), Bao Shan Iron and Steel Co. Ltd.,Shanghai 201900, P. R. China

Received:2007-07-23 Revised:2008-04-28 Online:2008-07-03 Published:2008-01-01
Contact: LI Xiao-wei

摘要/Abstract

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。

关键词: VOF方法, 流体体积比函数, 界面重构

Abstract: A stencil-like volume of fluid (VOF) method is proposed for tracking free interface. A stencil on a grid cell is worked out according to the normal direction of the interface, in which only three interface positions are possible in
2D cases, and the interface can be reconstructed by only requiring the known local volume fraction information. On the other hand, the fluid-occupying-length is defined on each side of the stencil, through which a unified fluid-occupying volume model and a unified algorithm can be obtained to solve the interface advection equation. The method is suitable for the arbitrary geometry of the grid cell, and is extendible to 3D cases. Typical numerical examples show that the current method can give "sharp" results for tracking free interface.

Key words: fluid volume fraction function, interface-reconstruction, volume of fluid (VOF) method

中图分类号:

李孝伟;樊俊飞. 一种自由界面追踪的模板化VOF方法[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(7): 881-888 .

LI Xiao-wei;FAN Jun-fei. A stencil-like volume of fluid (VOF) method for tracking free interface[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(7): 881-888 .