基于变步长差分迭代方法的河道水面线计算

摘要

在计算天然河道水面线时，由于河道的不规则性，导致计算断面间距往往是不相等的。为此，依据水力学能量方程，建立了变步长差分迭代的水面曲线模型。该数学模型简单易行，适应性强，便于程序化实现。通过对河南省南部某河道治理工程水面线的推求验证，证明该方法可有效解决非等间距断面的水面线推求问题，且计算效率和精度较高，可为计算类似工程问题提供参考。%In calculation of water level profile of natural river channel, the calculated distance of cross sections are usually un-equal due to due to channel irregularity. For this reason, according to hydraulic energy equation, a variable step size difference iterative model for calculation of water level profile was established. The model was characterized as simple, strong adaptability and easy to be programmed. By application to a river channel in south Henan Province, it was demonstrated that the model can effectively calculate the water level profile of river channels with unequal interval distance and was high in calculation efficiency and accuracy.