| 有限元线法在稳态渗流问题分析中的应用 |
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| 引用本文： | 白玉星,周朋飞,张俊哲. 有限元线法在稳态渗流问题分析中的应用[J]. 北方工业大学学报, 2018, 30(2): 85-89 |
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| 作者姓名： | 白玉星 周朋飞 张俊哲 |
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| 作者单位： | 北方工业大学土木工程学院,100144,北京;北方工业大学土木工程学院,100144,北京;北方工业大学土木工程学院,100144,北京 |
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| 摘 要： | 本文首次将有限元线法引入稳态渗流问题分析中,提出了一种模拟稳态渗流场的新型数值解法.本文介绍了有限元线法的一般求解思路和对稳态渗流场分析的理论推导过程,得出对应求解问题的ODE体系,通过调用高质量的常微分方程求解器COL90求解任一点的水头值.通过算例证明了有限元线法相比有限元法的优势.
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| 关 键 词： | 有限元线法 稳态渗流场 变分原理 插值 ODE体系 |
The Application of Finite Element Method of Lines in the Analysis of Steady Seepage Field |
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| BAI Yuxing,ZHOU Pengfei,ZHANG Junzhe. The Application of Finite Element Method of Lines in the Analysis of Steady Seepage Field[J]. Journal of North China University of Technology, 2018, 30(2): 85-89 |
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| Authors: | BAI Yuxing ZHOU Pengfei ZHANG Junzhe |
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| Abstract: | FEMOL is introduced for the first time in the analysis of steady seepage field in this paper and a new numerical solution is provided for the simulation of steady seepage field. This paper presents the general solution and theoretical derivation process for the analysis of steady seepage field of FEMOL to obtain the corresponding ODE system. A high quality ordinary differential equation solver COL90 is selected to get the value of water head of any point. The advantage of FEMOL over FEM is achieved is proved with some calculation examples. |
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