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二维溃坝洪水波演进的数值模拟及动态显示
引用本文:魏文礼,孙广才,沈永明,刘哲.二维溃坝洪水波演进的数值模拟及动态显示[J].西安理工大学学报,2003,19(1):9-12.
作者姓名:魏文礼  孙广才  沈永明  刘哲
作者单位:1. 西安理工大学,水利水电学院,陕西,西安,710048;大连理工大学,辽宁,大连,116024
2. 西安理工大学,水利水电学院,陕西,西安,710048
3. 大连理工大学,辽宁,大连,116024
基金项目:国家杰出科学基金项目(50125924);中国博士后科学基金资助项目.
摘    要:采用基于MacCormack预测—校正技术的隐式数值格式求解控制水流运动的二维浅水方程,建立了模拟大坝瞬间全溃或局部溃倒所致的洪水演进过程的数学模型;应用该模型对矩形明渠中缓、急流过渡的水面曲线进行了数值计算,并与理论解进行了比较;最后用该模型预测了矩形河道中大坝瞬间局部溃倒的洪水演进过程,并对模拟结果进行了定性分析。比较与分析结果表明,该模型对模拟溃坝洪水波很有效。

关 键 词:溃坝洪水波  数值模拟  隐式格式
文章编号:1006-4710(2003)01-0009-04

Numerical Simulation of 2D Dam-Break Flood Wave Evolution and Its Dynamic Display
WEI Wen li ,SUN Guang cai ,SHEN Yong ming ,LIU Zhe.Numerical Simulation of 2D Dam-Break Flood Wave Evolution and Its Dynamic Display[J].Journal of Xi'an University of Technology,2003,19(1):9-12.
Authors:WEI Wen li    SUN Guang cai  SHEN Yong ming  LIU Zhe
Institution:WEI Wen li 1,2,SUN Guang cai 1,SHEN Yong ming 2,LIU Zhe 1
Abstract:A mathematical model for simulating the flood evolution process caused by the instaneous complete or partial dam break is established using 2D shallow water equation for seeking solution to control water flow movement based on the implicit numerical format of MacCormack prediction correction technique.The mathematical model is used to numerically compute the water surface curves from supercritical flow to subcritical one or vice versa of the transition in a rectangular open channel; and the numerical results are compared with the theoretical results. And this model is also used to predict the instantaneous and partial dam break in a rectangular open channel and the flood evalution process, and the simulation results are analyzed qualitatively. The comparison and the analysis indicate that this model is fairly effective for simulating dam break flood waves.
Keywords:dam  break flood waves  numerical simulation  implicit format
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