Analytical Integration of the Kinematic Equation for Runoff on a Plane Under Constant Rainfall Rate and Smith and Parlange Infiltration
Analytical Integration of the Kinematic Equation for Runoff on a Plane Under Constant Rainfall Rate and Smith and Parlange Infiltration
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恒定降雨率和 Smith 和 Parlange 入渗条件下平面径流运动方程的解析积分
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
D. Woolhiser
中科院分区：
文献类型：
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作者：
J. Giráldez;D. Woolhiser
给出了描述有入渗地表水流的圣维南方程运动波近似的解析解。采用Smith和Parlange公式表示积水时间和延迟入渗率，改变时间和入渗率之间的变量，使得当流量表示为水深的二次方时，特征方程可以解析积分。在任何其他真实的指数的情况下，可以使用简单的数值积分方法来计算特性曲线。通过算例比较了不同指数值下的解，并对某些数值格式的精度进行了评价。
An analytical solution to the kinematic wave approximation of the Saint-Venant equations describing surface water flow with infiltration is presented. Adopting the Smith and Parlange formulation for the ponding time and the postponding infiltration rate, a change of variable among time and infiltration rate allow the analytical integration of the characteristic equations when the flow rate is expressed as the second power of the water depth. In the case of any other real exponent a simple numerical integration method may be used for the computation of the characteristic curves. An illustration is made to compare the solutions for different values of the exponent, as well as to assess the accuracy of some numerical schemes.