魏文礼,沈永明,孙广才,刘玉玲.二维溃坝洪水波演进的数值模拟[J].水利学报,2003,34(9):0043-0047 |
二维溃坝洪水波演进的数值模拟 |
Numerical simulation of 2-D dam break flood wave |
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DOI: |
中文关键词: 溃坝洪水波 数值模拟 隐式格式 |
英文关键词: dam break flood wave numerical simulation implicit scheme MacCormack predictor corrector technique |
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中文摘要: |
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时下游有多个障碍物的洪水演进过程,算例说明该数学模型对模拟溃坝洪水波很有效。 |
英文摘要: |
A mathematical model is established for numerical simulation of 2-D flood wave due to complete or partial dam break.The governing equations are solved using an implicit bi diagonal numerical scheme based on the MacCormack's predictor corrector technique .The model is applied to calculate the transition water surface profiles from supercritical to gradually varied flow or from gradually varied flow to supercritical flow in rectangular open channel. The validity of the model is preliminarily verified by comparing the calculation results of a typical model by means of hydraulics method and the proposed model respectively. An example is given for demonstration of the application of the model. |
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