| Trefftz间接法解自由面渗流问题 |
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| 引用本文： | 李珏,金吾根,薛馨,吴佳毅.Trefftz间接法解自由面渗流问题[J].计算力学学报,2005,22(3):295-298. |
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| 作者姓名： | 李珏 金吾根 薛馨 吴佳毅 |
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| 作者单位： | 复旦大学,力学与工程科学系,上海,200433 |
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| 基金项目： | 国家自然科学基金(19872019)资助项目. |
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| 摘 要： | 渗流问题是岩体水力学研究的重点之一，较常规的有限元法和传统的边界元法而言，Trefftz型边界元法具有程序简单、计算量小及无须奇异积分等特点。本文给出定常和非定常自由面渗流问题的Trefftz解法，计算结果表明，该法收敛性好，结果比较精确。
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| 关 键 词： | 渗流自由面 Trefftz型边界元法 完备函数 迭代法 非定常的自由面 |
| 文章编号： | 1007-4708(2005)03-0295-04 |
| 修稿时间： | 2003年7月15日 |
Solution of free surface seepage problems by Trefftz indirect method |
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| LI Jue,JIN Wu-gen,XUE Xin,WU Jia-yi.Solution of free surface seepage problems by Trefftz indirect method[J].Chinese Journal of Computational Mechanics,2005,22(3):295-298. |
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| Authors: | LI Jue JIN Wu-gen XUE Xin WU Jia-yi |
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| Institution: | LI Jue,JIN Wu-gen~,XUE Xin,WU Jia-yi |
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| Abstract: | The seepage problem of fluids through porous media is one of the key issues of rock mass hydromechanics. Trefftz indirect method (i.e. Trefftz-type BEM or TBEM), which was used in this paper, has its advantages over traditional FEM and BEM, because it avoids the difficulty of singular integral and the inconvenience of mesh modifications. The program of TBEM is simpler and takes less computer time, compared with traditional FEM and BEM. Steady seepage and unsteady seepage with a free surface in a uniform dam were analyzed in the paper. In comparison with experimental data, numerical results show that the present method has satisfactory convergence and accuracy. |
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| Keywords: | free surface Trefftz indirect method complete solutions iterative method unsteady seepage |
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