| A stencil-like volume of fluid （VOF） method for tracking free interface |
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| 引用本文： | 李孝伟,樊俊飞.A stencil-like volume of fluid （VOF） method for tracking free interface[J].应用数学和力学(英文版),2008,29(7):881-888. |
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| 作者姓名： | 李孝伟 樊俊飞 |
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| 作者单位： | [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 |
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| 基金项目： | 国家自然科学基金，上海市重点学科建设项目 |
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| 摘 要： | 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.
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| 关 键 词： | 流体力学 自由边界 流体体积分数函数 VOF |
| 收稿时间： | 2007-07-23 |
A stencil-like volume of fluid (VOF) method for tracking free interface |
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| Xiao-wei?Li,Jun-fei?Fan.A stencil-like volume of fluid (VOF) method for tracking free interface[J].Applied Mathematics and Mechanics(English Edition),2008,29(7):881-888. |
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| Authors: | Xiao-wei Li Jun-fei Fan |
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| Institution: | 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 |
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| 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. |
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| Keywords: | volume of fluid (VOF) method fluid volume fraction function interface-reconstruction |
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