分布式TOPKAPI模型的数值解法及其应用  

Numerical algorithm of distributed TOPKAPI model and its application

作　　者：邓鹏[1] 李致家[1] 刘志雨[2] 

机构地区：[1]河海大学水文水资源学院,江苏南京210098 [2]水利部水文局,北京100053

出　　处：《河海大学学报（自然科学版）》2009年第2期158-161,共4页Journal of Hohai University(Natural Sciences)

基　　金：国家自然科学基金(50479017)

摘　　要：为了提高分布式TOPKAPI模型的计算精度,用数值分析的方法对模型非线性水库方程进行求解.通过分析得出非线性水库方程的一般格式,运用四阶龙格库塔算法建立求解数值解的递推关系式,并且通过变步长链提高算法的效率,保证递推关系式的收敛和稳定.利用变步长的四阶龙格库塔算法在1 km网格精度下对布柳河流域进行洪水模拟,模型率定期和检验期的确定性系数分别达到了0.908和0.912.For the sake of improving the calculation precision of the distributed TOPKAPI model, a numerical algorithm was applied to solve the non-linear reservoir differential equations in the model. The general form of these equations was derived. The recurrence formula was constituted using the algorithm of the fourth-order Runge-Kutta method. The method of variable steps improved the efficiency of the algorithm and guaranteed the convergence and stability of the formula. The numerical algorithm of the fourth-order Runge-Kutta with variable steps was applied in the flood simulation of the Buliu River watershed with a grid precision of one kilometer. The deterministic coefficients of model calibration and validation reached 0.908 and 0.912, respectively.

关 键 词：TOPKAPI模型 龙格库塔 布柳河 洪水模拟 

分 类 号：P338.2[天文地球—水文科学]