Nonlinear kinematic wave approximation for water routing
Nonlinear kinematic wave approximation for water routing
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DOI：
10.1029/wr011i002p00245
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发表时间：
1975-04
影响因子：
5.4
通讯作者：
Ruh-Ming Li;D. B. Simons;M. A. Stevens
中科院分区：
文献类型：
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作者：
Ruh-Ming Li;D. B. Simons;M. A. Stevens
本文提出了一个简单的陆面和河道水流演算的数值模型。发展了一种二阶非线性格式求解运动学波动方程，边界条件为时变来流。数值解与某些特殊情况下的解析解吻合得很好。该模型考虑了降雨量对水流阻力的影响，模拟的过程线与试验结果吻合得很好。成功地模拟了坡面径流过程线中的“尖点”和“倾角”现象。这些现象被发现是由于降雨停止或开始而导致流动阻力突然变化的结果。在天然河道中，也采用了同样的坡面水流路由程序。
Herein a simple numerical model for both overland and channel water routing is presented. A second-order nonlinear scheme is developed to solve the kinematic wave equation with the boundary condition of time variant inflows. The numerical solutions agree very well with analytical solutions which are available for some particular cases. This model includes the effects of rainfall on flow resistance and simulates hydrographs which agree very well with experimental results for both constant rainfall and variable rainfall cases. The interesting phenomena of ‘pip’ and ‘dip’ in overland flow hydrographs are successfully simulated. These phenomena are found to be the results of sudden changes of flow resistance due to ceasing or starting of rainfall. The same routing procedure for overland flow is employed to route flow in natural channels.