摘要
应用特征线理论建立了一维瞬时全溃洪水在下游无水、斜底、梯形河道中演进的解析模型,结果显示Ritter解为本文模型在平坡底、矩形断面河道下的一个特解。依据导出的解析模型,对河道底坡的影响进行了分析计算,表明正坡会加速溃坝洪水的演进而逆坡有阻滞作用,而且这种底坡促流或阻流效应具有随时间增长的特点。
This paper presents an analytical model for 1- D dam-break flood on sloping channel bed developed by means of characteristics method. The model can be applied to any channel of trapezoidal cross section including rectangular and triangular ones. When it is applied to channels of rectangular cross section, the model can be expressed by a simple algebraic equation, which is just the same as Ritter＇s solution when the bed slope effect is ignored. The results of theoretical analysis and computational example show that an active slope can accelerate flood, while an inverse slope may retard flood. Moreover, such slope effect may be accumulating as flood travels.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2005年第5期597-603,共7页
Chinese Journal of Hydrodynamics
关键词
溃坝
洪水
数学模型
解析解
dam-break
flood
mathematical model
analytical solution
