一种新的运动波方程有限差分方法

A new finite differential algorithm method of kinematical wave equation

在对运动波方程、数值解法及马斯京根-康吉演算法进行介绍的基础上,提出了运动波三角差分演算法,并给出了该方法的具体差分格式及推导过程。以长江万县至宜昌河段和雅砻江泸宁至打罗河段实测流量数据为例,利用马斯京根-康吉演算法和三角差分法分别进行了演算,并对比和分析了计算结果。结果表明,三角差分法具有预见期、演算方程简单、参数率定容易、演算精度高的特点,适用于河底比降较大河道的流量演算。

The triangle differential algorithm method of kinematical wave equation was put forward, and the difference scheme and derivation process were given based on the introduction of kinematical wave formula, numerical solution and Maskingum-Cunge method. By using the measured runoff data of Wanxian to Yichang section in Yangtze River and Luning to Daluo section in Yalong River, we carried out calculation, comparison and analysis for Maskingum-Cunge method and the triangle differential al-gorithm method. The results show that the triangle differential method has the advantages of forecast period, simple calculus e-quations, easy parameters rating, and high calculation precision, which is a better calculation method for the mountain river with large gradient ratio.