二维溃坝洪水波演进的数值模拟  

Numerical simulation of 2D dam-break flood wave

作　　者：魏文礼[1] 沈永明[2] 孙广才[1] 刘玉玲[1] 

机构地区：[1]西安理工大学水利水电学院,陕西西安710048 [2]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《水利学报》2003年第9期43-47,共5页Journal of Hydraulic Engineering

基　　金：国家杰出青年科学基金项目(50125924);中国博士后科学基金项目资助.

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。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.

关 键 词：溃坝洪水波 数值模拟 隐式格式 

分 类 号：TV139.231[水利工程—水力学及河流动力学]