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| 线性扩散波洪水演算方法的应用研究 | |
| 引用本文： | 丁伯良,黄国如,等.线性扩散波洪水演算方法的应用研究[J].水电能源科学,2001,19(3):43-45,61. |
| 作者姓名： | 丁伯良 黄国如 |
| 作者单位： | 1. 浙江省水文勘测局 2. 清华大学水利水电系 3. 河海大学水文水资源及环境学院 |
| 基金项目： | 国家重点基础研究发展规划项目(G1999043607). |
| 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。 |
| 关 键 词： | 扩散波方程 洪水演算 解析解 数值扩散 差分解 |
| 文章编号： | 1000-7709(2001)03-0043-03 |
A Practical Study of Flood Routing Method Based on the Linear Diffusive Wave Equation |
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| DING Bo liang,HUANG Guo ru,RUI Xiao fang.A Practical Study of Flood Routing Method Based on the Linear Diffusive Wave Equation[J].International Journal Hydroelectric Energy,2001,19(3):43-45,61. | |
| Authors: | DING Bo liang HUANG Guo ru RUI Xiao fang |
| Affiliation: | DING Bo liang 1 HUANG Guo ru 2 RUI Xiao fang 3 |
| Abstract: | 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. |
| Keywords: | diffusive wave equation flood routing analytical solution numerical dispersion difference solution |
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