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一维溃坝波在斜底坡河道中演进的解析解
引用本文:黄国富 张翼飞 伍超 杨永全. 一维溃坝波在斜底坡河道中演进的解析解[J]. 水动力学研究与进展(A辑), 2005, 20(5): 597-603
作者姓名:黄国富 张翼飞 伍超 杨永全
作者单位:[1]中国船舶科学研究中心,上海200011 [2]上海师范大学环科所,上海200234 [3]四川大学高速水力学国家重点实验室,成都610065
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。

关 键 词:溃坝  洪水  数学模型  解析解
文章编号:1000-4874(2005)05-0597-07
收稿时间:2004-11-18
修稿时间:2004-11-18

Analytical solutions for 1-D dam-break flood on sloping channel bed
Huang GuoFu;Zhang YiFei;Wu Chao;Yang YongQuan. Analytical solutions for 1-D dam-break flood on sloping channel bed[J]. Chinese Journal of Hydrodynamics, 2005, 20(5): 597-603
Authors:Huang GuoFu  Zhang YiFei  Wu Chao  Yang YongQuan
Abstract: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.
Keywords:dam-break    flood    mathematical model    analytical solution
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