基于河势概念和Hermite三次插值函数,提出了河势贴体河道平面二维正交四边形网格的生成方法;与边界层坐标系下水深平均流体力学控制方程和SIMPLER算法联合使用,建立了河道平面二维数学模型;进行了葛洲坝枢纽至磨盘溪河段二维网格生成及水流泥沙数学模型的实例研究;讨论了该网格生成方法的主要特征。 关键词：正交网络;数学模型;河势;Hermite函数;边界层;SIMPLER算法

On the basis of the concept of riverregime and Hermite's triple interpolatingfunction,a generating method of 2D riverregimefitted orthgonal quadrilateral grid for river channels is proposed.Combining with simplified depthaveragegoverning equations of fluid mechanics under boundary layer coordinates and SIMPLER algorithm,a 2D mathematical model for river channels is developed.As an engineering illustration of application,the research of grid generation and watersediment simulation for the river reaches from the Gezhouba Project to MopanxiGauge Station is conducted.Primary features of this gridgenerating method arediscussed.