基于拉格朗日插值的挡潮排涝涵闸调洪演算

为了探究涵闸进口水位—流量关系未知且外江潮水对内江洪水具有顶托作用的调洪演算过程,在传统的列表试算方法基础上提出了单时段内根据涵闸运行原则且基于拉格朗日n次插值多项式的泄流前及泄流后容积水深插值调洪算法,为了计算方便,采用C++编写拉格朗日插值程序。将改进算法的计算结果代入传统的列表试算法中进行验证,计算结果表明只有个别时段水深值具有微小偏差,改进后的算法具有较高的精度。改进后的算法不仅可以避免传统算法的大量试算,为传统算法提供准确的试算初始点,而且对于类似实际工程的调洪演算具有一定的参考价值。

Tidal drainage culvert flood routing based on Lagrange Interpolation

In order to explore the culvert imported water-flood routing process flow relationship is unknown and outside the river flood tide of internal River with backwater effects in the traditional method based on the trial list proposed culvert running within a single period in accordance with the principles and pull-based n times before Lagrange polynomial interpolation and after discharge volume discharge flood water depth interpolation algorithm,in order to facilitate the calculation,using C＋＋ to write Lagrange interpolation procedure. The results will be improved algorithm into the traditional list of validated test algorithm, the results show that the depth values only individual sessions with a slight deviation, the improved algorithm has a higher accuracy. The improved algorithm can not only avoid a lot of the traditional algorithm spreadsheets,which provides accurate starting point for the traditional algorithms,but also has a certain reference value for flood routing similar to the actual project.