| 无压渗流分析的复合单元法 |
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| 引用本文： | 许桂生,陈胜宏.无压渗流分析的复合单元法[J].岩土力学,2005,26(5):745-749. |
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| 作者姓名： | 许桂生 陈胜宏 |
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| 作者单位： | 武汉大学 水资源与水电工程科学国家重点实验室，武汉 430072 |
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| 基金项目： | 国家自然科学基金资助(No.50379039，No.50239070)。 |
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| 摘 要： | 针对无压渗流问题，在传导矩阵调整法的基础上，对穿越自由面的单元用复合单元来处理，每个复合单元具有两套结点水头，一套用于饱和区的水头插值；另一套则用于无水区。通过变分原理，推出了控制方程并在程序中实现。应用复合单元法可以较好地解决自由面的插值问题，消除了穿过自由面单元的水上部分对自由面附近结点水头的贡献，同时对逸出面边界条件的处理也更加方便和准确。算例表明了该方法的有效性。
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| 关 键 词： | 无压渗流 自由面 逸出面 固定网格 复合单元法 |
| 文章编号： | 1000-7598-(2005)05-0745-05 |
| 收稿时间： | 2004-09-25 |
| 修稿时间： | 2004年9月25日 |
Unconfined seepage analysis with composite element method |
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| XU Gui-sheng,CHEN Sheng-hong.Unconfined seepage analysis with composite element method[J].Rock and Soil Mechanics,2005,26(5):745-749. |
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| Authors: | XU Gui-sheng CHEN Sheng-hong |
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| Institution: | State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China |
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| Abstract: | Based on the method of adjusting the conductivity matrix, the composite element method is proposed to deal with the elements intersected by free surface in the analysis of unconfined seepage problems. Each composite element has two sets of the nodal hydraulic potential, one is used to interpolate the hydraulic potential in the saturated domain, another used in the domain above free surface. According to the variational principle, the governing equation is derived and is implemented in the program. With the composite element method, the problem of interpolation on free surface is well solved and the impact of the domain above free surface upon the hydraulic potential in the saturated domain is avoided. Moreover, the outflow boundary can be treated in the calculation more conveniently and more accurately. The effectiveness of the method is verified by the numerical example. |
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| Keywords: | unconfined seepage free surface outflow boundary fixed mesh composite element method |
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