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在河道洪水演算中,当河段内水力特性比较复杂,如波速和特征河长随流量(水位)变化很大时,就需要考虑演算参数的非线性变化,才能取得较好的演算效果。在《水利水电技术》水文副刊1980年第四期刊登的“马斯京根法的非线性应用”一文,提出了一种实用的非线性演算方法(该文推荐的第四种方法),其原理是将非线性的基本方程组,即(Q_上-Q_下)dt=d(?)dW=K(Q′)dQ′(?)(1)写成差分形式,用迭代法求解。如用 i 表示河段,j 表示时段,见图1,
In the calculation of river flood, when the hydraulic characteristics of the river section are complex, for example, the wave velocity and characteristic river length vary greatly with the flow (water level), the non-linear change of the parameters needs to be considered in order to obtain better calculation results. In a paper entitled “Nonlinear Applications of Muskingum” published in the fourth issue of Hydrology and Hydrology Supplementary Hydrology, a practical method of nonlinear calculus (the fourth method recommended in this article) is proposed The principle is to use the iterative method to write the basic nonlinear equations, ie, dt = d (?) DW = K (Q ’) dQ’ (?) If i said river, j said period, see Figure 1,