| 轴对称柱坐标系中的Youngs算法 |
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| 引用本文： | 胡影影,朱克勤,席葆树.轴对称柱坐标系中的Youngs算法[J].同济大学学报(自然科学版),2004,32(7):916-919. |
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| 作者姓名： | 胡影影 朱克勤 席葆树 |
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| 作者单位： | 1. 同济大学,航空航天与力学学院,上海,200092
2. 清华大学,工程力学系,北京,100084 |
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| 摘 要： | 为提高包含有交界面的轴对称流动问题的求解精度 ,将直角系中的Youngs算法公式推广到轴对称柱系中应用 .根据流体体积分数的定义 ,在直角系Youngs算法的基础上 ,通过引入修正系数 ,可以方便地实现Youngs算法在轴对称柱坐标系中的应用 .最后在轴对称情况下 ,数值模拟了空泡在理想流场中的溃灭过程 ,通过比较空泡半径理论解和由Youngs算法得到的数值解 ,检验Youngs算法在轴对称情况下的应用 .
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| 关 键 词： | 轴对称柱坐标系 Youngs算法 流体体积分数 交界面 |
| 文章编号： | 0253-374X(2004)07-0916-04 |
Youngs' Method for Axisymmetric Coordinate Systems |
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| HU Ying-ying ,ZHU Ke-qin ,XI Bao-shu.Youngs'''' Method for Axisymmetric Coordinate Systems[J].Journal of Tongji University(Natural Science),2004,32(7):916-919. |
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| Authors: | HU Ying-ying ZHU Ke-qin XI Bao-shu |
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| Institution: | HU Ying-ying 1,ZHU Ke-qin 2,XI Bao-shu 2 |
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| Abstract: | To more accurately solve axisymmetric fluid flows with interfaces,Youngs' method for axisymmetric coordinate systems is developed.Based on its algorithm for Cartesian coordinate systems,definition of the function of volume of fluid and a revised coefficient are introduced,and Youngs' method is developed for axisymmetric coordinate systems.Finally,axisymmetric bubble collapse in an unbounded ideal fluid field is numerically simulated.By comparison,numerical bubble radii by Youngs' method agree well with theoretical bubble radii. |
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| Keywords: | axisymmetric coordinate system Youngs' algorithm volume of fluid interface |
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