| 有自由面渗流分析的三维数值流形方法 |
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| 引用本文： | 姜清辉,邓书申,周创兵.有自由面渗流分析的三维数值流形方法[J].岩土力学,2011,32(3):879-884. |
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| 作者姓名： | 姜清辉 邓书申 周创兵 |
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| 作者单位： | 1. 武汉大学土木建筑工程学院武汉,430072;武汉大学水资源与水电工程科学国家重点实验室,武汉,430072
2. 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： | 国家自然科学基金项目，教育部新世纪优秀人才支持计划项目 |
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| 摘 要： | 提出了求解有自由面渗流问题的三维数值流形方法,通过构造任意形状流形单元的水头函数,推导了流形单元的渗透矩阵和无压渗流分析的总体控制方程,并给出了自由面的迭代求解策略和渗透体积力的计算方法.典型算例的数值分析表明,该方法采用数学网格覆盖整个材料区域,在自由面的迭代求解过程中数学网格保持不变,只考虑自由面以下渗流区的介质,...
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| 关 键 词： | 三维渗流 数值流形方法 自由面 数学网格 流形单元 |
| 收稿时间： | 2009-12-27 |
Three-dimensional numerical manifold method for seepage problems with free surfaces |
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| JIANG Qing-hui,DENG Shu-shen,ZHOU Chuang-bing.Three-dimensional numerical manifold method for seepage problems with free surfaces[J].Rock and Soil Mechanics,2011,32(3):879-884. |
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| Authors: | JIANG Qing-hui DENG Shu-shen ZHOU Chuang-bing |
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| Institution: | 1.School of Civil and Architectural Engineering, Wuhan University, Wuhan, 430072, China; 2.State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, 430072, China |
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| Abstract: | A three-dimensional numerical manifold method for seepage problems with free surfaces is proposed.The hydraulic potential functions for arbitrarily shaped manifold element are constructed and the element conductivity matrix is derived in detail.The global governing equations for unconfined seepage analysis are established by minimizing the flow dissipation energy.The proposed method employs the tetrahedral mathematical meshes to cover the whole material volume.In the process of iterative solving for locatin... |
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| Keywords: | three-dimensional seepage numerical manifold method free surface mathematical mesh manifold element |
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