流域洪水演进模型通用算法研究

Universal algorithm for river basin flood routing model

提出现实世界、抽象世界和模型世界的概念,通过对基本对象型的赋值,把现实世界映射到抽象世界.在抽象世界里,流域由基本对象组成,基本对象由基本元素组成,构造基本对象的模拟模型,建立水量交换函数和节点水位方程.采用矩阵标识法求解节点水位,由水量交换函数的回代得出所有流域对象的水力要素.在抽象世界里构建模型,用矩阵标识法求解,实现了流域洪水演进模拟,算法具有通用性.

Presented was the conception of three worlds-the real world, the abstract world, and the model world. By evaluation of basic objectives, the real world was transformed to the abstract world. In the abstract world, the river basin was composed of basic objectives, and the basic objectives were composed of basic components. The simulation model for basic objectives, the water volume exchange function, and the nodal water stage equation were developed. The matrix mark method was employed to solve the nodal water stage, and the hydraulic parameters for river basin objectives were obtained by back computation of the water volume exchange function. The model constructed in the abstract world and the use of the matrix mark method to solve equations make it possible to realize flood routing and simulation, and the algorithm is universal.