| 带源项二维浅水方程正问题和反问题的求解 |
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| 引用本文： | 刘文涛,闵涛,郝竹林,冯民权. 带源项二维浅水方程正问题和反问题的求解[J]. 西安理工大学学报, 2011, 27(1): 107-111 |
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| 作者姓名： | 刘文涛 闵涛 郝竹林 冯民权 |
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| 作者单位： | 1. 西安理工大学水利水电学院,陕西西安,710048
2. 西安理工大学理学院,陕西西安,710054 |
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| 基金项目： | 陕西省教育厅基金资助项目 |
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| 摘 要： | 考虑到求解二维浅水方程的正问题及反问题的复杂性,建立高分辨率的有限元格式对正问题进行模拟,运用最佳摄动量法对反问题进行了研究,通过对两类溃坝问题进行数值模拟及文献对比,验证了有限元方法具有较高的离散精度同时又避免了数值解的伪震荡,并运用最佳摄动量法对正问题算例进行糙率率定,模拟结果较为理想.
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| 关 键 词： | 浅水方程 有限元法 最佳摄动量法 糙率率定 |
The Solution to Forward and Inverse Problems of 2-D Shallow Water Equation with Source Terms |
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| LIU Wentao,MIN Tao,HAO Zhulin,FENG Minquan. The Solution to Forward and Inverse Problems of 2-D Shallow Water Equation with Source Terms[J]. Journal of Xi'an University of Technology, 2011, 27(1): 107-111 |
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| Authors: | LIU Wentao MIN Tao HAO Zhulin FENG Minquan |
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| Affiliation: | LIU Wentao1,MIN Tao2,HAO Zhulin1,FENG Minquan1 (1.Faculty of Water Resources and Hydroelectric Engineering,Xi'an University of Technology,Xi'an 710048,China,2.Faculty of Science,Xi'an 710054,China) |
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| Abstract: | In considering the complexity of solved problems and inverse problems of the two-dimensional shallow water equations,a high-resolution finite element scheme is established to simulate the forward problem,and the optimal perturbation method is used to study the inverse problem.The finite element method with high discrete accuracy and pseudo-shock to avoid numerical solution is tested via the numerical simulation and literature contrast of dam-break problems of two types;and the optimal perturbation method is... |
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| Keywords: | shallow water equation finite element method optimal perturbation method roughness identification |
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