| 复杂边界及实际地形上溃坝洪水流动过程模拟 |
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| 引用本文： | 夏军强,王光谦,LIN Bin-liang,谈广鸣.复杂边界及实际地形上溃坝洪水流动过程模拟[J].水科学进展,2010,21(3):289-298. |
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| 作者姓名： | 夏军强 王光谦 LIN Bin-liang 谈广鸣 |
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| 作者单位： | 1.清华大学水沙科学与水电工程国家重点实验室, 北京, 100084; |
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| 基金项目： | 国家重点基础研究发展计划(973)资助项目，教育部新世纪优秀人才支持计划资助项目 |
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| 摘 要： | 建立了基于无结构三角网格下采用有限体积法求解的二维水动力学模型,用于模拟溃坝洪水在复杂边界及实际地形上的流动过程。该模型采用Roe格式的近似Riemann解计算界面水流通量,结合空间方向的TVD-MUSCL格式及时间方向的预测-校正格式,可使模型在时空方向具有二阶计算精度。模型中引入最小水深概念,提出了有效的干湿界面处理方法。模拟了理想条件下溃坝水流过程,研究不同最小水深取值对干河床上洪水演进的影响,并用两组简单溃坝水流的水槽试验资料对模型进行验证。采用该模型模拟了实际溃坝洪水的流动过程,所得计算结果与实测资料及已有模型计算结果较为符合。
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| 关 键 词： | 复杂边界 实际地形 二维浅水方程 有限体积法 无结构网格 溃坝洪水 干湿界面 |
| 收稿时间： | 2009-05-11 |
Two-dimensional modelling of dam-break floods over actual terrain with complex geometries using a finite volume method |
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| XIA Jun-qiang,WANG Guang-qian,LIN Bin-liang,TAN Guang-ming.Two-dimensional modelling of dam-break floods over actual terrain with complex geometries using a finite volume method[J].Advances in Water Science,2010,21(3):289-298. |
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| Authors: | XIA Jun-qiang WANG Guang-qian LIN Bin-liang TAN Guang-ming |
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| Affiliation: | 1.State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;2.State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;3.Hydro-Environmental Research Centre, School of Engineering, Cardiff University, CARDIFF, CF24 3AA, UK |
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| Abstract: | Based the total variation diminishing(TVD) finite volume method,a two-dimensional hydrodynamic model using unstructured triangular meshes is developed for modelling dam-break flooding under actual terrain with complex geometries.Details include uses of the Roe's approximate Riemann solver with the TVD-MUSCL(Monotone Upstream-centered Schemes for Conservation Laws) scheme as well as the procedure of predictor-corrector in time stepping,which can result in a second-order accurate solution for dam-break flows ... |
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| Keywords: | complex geometries actual terrain shallow water equations finite volume method unstructured mesh dam-break flooding wetting and drying |
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