洪水演算中的运动波法

运动波的数值解法具有扩散波的精度,但必需拟定合适的计算格式。本文通过分析论证,揭示了运动波数值解法的关键技术——人工衰减措施。通过对运动皮解的精度、稳定和收敛的理论分析,导出了拟定人工衰减的三个准则,并得出了运动波法的适用范围,比理论上运动波的定义范围更广泛的结论,有利于运动波的应用。本文所得到的理论结果,都为实际数值例子所征实。文中还推荐了具体使用运动波法进行洪水演算的作法。

The Kinematic Wave Method for Flood Routing

The numerical solution of kinematic wave exists an approximation of diffusive equation, provided an appropriate difference scheme is available. Here we reveal theoretically the key point to use numerical solution of kinematic wave—artificial attenuation process.Three criteria are presented in order to establish the reasonable difference schemes.A conclusion obtained here indicates that the employed range of kinematic wave method is wider than that of the kinematic wave itself,thus improving the usefulness of the kinematic wave method.All results are approved to be true by the numerical test of an actual example.A procdure for the application of kinematic wave method is suggested.