| A SPLIT-CHARACTERISTIC FINITE ELEMENT MODEL FOR 1-D UNSTEADY FLOWS |
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| 作者姓名： | ZHOU Yi-lin TANG Hong-wu LIU Xiao-hua |
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| 作者单位： | ZHOU Yi-lin，TANG Hong-wu，LIU Xiao-hua State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering，College of Water Conservancy and Hydropower Engineering，Hohai University，Nanjing 210098，China |
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| 基金项目： | 国家自然科学基金;教育部新世纪优秀人才支持计划 |
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| 摘 要： | An efficient and accurate solution algorithm was proposed for 1-D unsteady flow problems widely existing in hydraulic engineering. Based on the split-characteristic finite element method, the numerical model with the Saint-Venant equations of 1-D unsteady flows was established. The assembled finite element equations were solved with the tri-diagonal matrix algorithm. In the semi-implicit and explicit scheme, the critical time step of the method was dependent on the space step and flow velocity, not on the wave celerity. The method was used to eliminate the restriction due to the wave celerity for the computational analysis of unsteady open-channel flows. The model was verified by the experimental data and theoretical solution and also applied to the simulation of the flow in practical river networks. It shows that the numerical method has high efficiency and accuracy and can be used to simulate 1-D steady flows, and unsteady flows with shock waves or flood waves. Compared with other numerical methods, the algorithm of this method is simpler with higher accuracy, less dissipation, higher computation efficiency and less computer storage.
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| 关 键 词： | 一维非定常流 特征分散有限元法 数学模型 河网 洪水流动 |
| 收稿时间： | 2005-09-27 |
| 修稿时间： | 2006-07-21 |
A SPLIT-CHARACTERISTIC FINITE ELEMENT MODEL FOR 1-D UNSTEADY FLOWS |
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| ZHOU Yi-lin TANG Hong-wu LIU Xiao-hua.A SPLIT-CHARACTERISTIC FINITE ELEMENT MODEL FOR 1-D UNSTEADY FLOWS[J].Journal of Hydrodynamics,2007,19(1):54-61. |
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| Authors: | ZHOU Yi-lin TANG Hong-wu LIU Xiao-hua |
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| Affiliation: | 1. Mathematical Institute, Serbian Academy of Science and Arts, Kneza Mihaila 36, 11001 Belgrade, P.O. Box 367, Serbia;2. Department of Management and Technology, School of Management, Université du Québec à Montréal, Montréal, QC, Canada;3. Interuniversity Research Centre on Enterprise Networks, Logistics and Transportation (CIRRELT), C.P.6128, Succ.Centre-ville, Montréal, Canada H3C3J7 |
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| Abstract: | An efficient and accurate solution algorithm was proposed for 1-D unsteady flow problems widely existing in hydraulic engineering. Based on the split-characteristic finite element method, the numerical model with the Saint-Venant equations of 1-D unsteady flows was established. The assembled finite element equations were solved with the tri-diagonal matrix algorithm. In the semi-implicit and explicit scheme, the critical time step of the method was dependent on the space step and flow velocity, not on the wave celerity. The method was used to eliminate the restriction due to the wave celerity for the computational analysis of unsteady open-channel flows. The model was verified by the experimental data and theoretical solution and also applied to the simulation of the flow in practical river networks. It shows that the numerical method has high efficiency and accuracy and can be used to simulate 1-D steady flows, and unsteady flows with shock waves or flood waves. Compared with other numerical methods, the algorithm of this method is simpler with higher accuracy, less dissipation, higher computation efficiency and less computer storage. |
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| Keywords: | split characteristic finite element method tri-diagonal matrix algorithm 1-D unsteady flow flood wave river networks |
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