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实际地形下溃坝波的有限近似解
引用本文:李泰儒,赵明登,彭晓春,李丹,槐文信.实际地形下溃坝波的有限近似解[J].水动力学研究与进展(A辑),2010,25(6).
作者姓名:李泰儒  赵明登  彭晓春  李丹  槐文信
作者单位:环境保护部华南环境科学研究所;武汉大学水资源与水电工程科学国家重点实验室;
摘    要:采用有限近似法5点格式离散二维浅水波方程组,建立平面二维溃坝洪水波模型。通过与平底无摩擦二维非对称部分溃坝问题其他数模的结果比较,结果表明该模型能够较好地模拟自由面的变化规律,具有较强的间断捕捉能力。进而对实际地形下的二维溃坝问题进行了计算模拟,给出了精细的数值结果,揭示了复杂的运动特性,进一步显示了有限近似法模拟溃坝洪水波间断面的形状和位置的优良性能,是求解溃坝流动的有效方法之一。

关 键 词:浅水波方程  溃坝  有限近似法  实际地形

Finite proximate method for dam-break flood waves with real topography
LI Tai-ru,ZHAO Ming-deng,PENG Xiao-chun,LI Dan,HUAI Wen-xin.Finite proximate method for dam-break flood waves with real topography[J].Journal of Hydrodynamics,2010,25(6).
Authors:LI Tai-ru  ZHAO Ming-deng  PENG Xiao-chun  LI Dan  HUAI Wen-xin
Affiliation:LI Tai-ru1,ZHAO Ming-deng2,PENG Xiao-chun1,LI Dan2,HUAI Wen-xin2(1.South China Institute of Environmental Sciences of MEP,Guangzhou 510655,China,2.State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University,Wuhan 430072,China)
Abstract:Based on finite approximate method(FPM) with 5 points scheme,two-dimensional shallow water equations are discretized.The mathematical model of 2-D dam-break flows is established for seeking solution to predict the instantaneous and partial dam-break in a frictionless,horizontal channel.The comparison proved that this method can reflect the dynamic process of flow and can well capture the discontinuity of the shallow water wave equations.The 2-D dam-break flows with real topography are stimulated numerically...
Keywords:shallow water equation  dam-break  finite proximate method  real topography  
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