摘要
求解了线性扩散波方程在自由下边界条件下的解析解 ,着重探讨了如何将扩散波解析解用于天然河道的洪水演算之中 .利用运动波差分解的数值扩散在一定条件下可以模拟扩散波物理扩散的概念 ,导出了一类推求扩散波方程数值解的方法 ,据此建立了具有预见期的洪水演算方法 .并将这两种方法应用于两条天然河道 ,均得到了较高的计算精度 .
It is proved that the diffusive wave equation is accurate enough, but relatively simple, to calculate flood routing both in theoretical and practical perspectives. An analytical solution to the linear diffusive wave equation with the free downstream condition is obtained. In addition, based on the concept of numerical dispersion of difference solution to the linear kinematic wave equation modeling the physical dispersion of the diffusive wave equation at some condition, a flood routing method with prediction duration is developed. The two proposed methods have both been applied to the flood routing in the practical channels, and good results are obtained.
出处
《水电能源科学》
2001年第3期43-45,61,共4页
Water Resources and Power
基金
国家重点基础研究发展规划项目 (G1 9990 43 60 7)
关键词
扩散波方程
洪水演算
解析解
数值扩散
差分解
diffusive wave equation
flood routing
analytical solution
numerical dispersion
difference solution
