采用平面二维水动力学模型来描述串流洪水运动,将降雨直接产流与坡面流的影响分别以面源及旁侧入汇的形式融入水动力学模型;基于曲线网格对串流区洪水运动数学模型的控制方程进行了离散,同已有的离散方法相比,本方法不需要对控制方程进行坐标变换,因而离散方程形式简单,物理概念清晰,且适用于一般曲线网格,对复杂区域适应能力较强;采用北汝河串流区1943年历史洪水资料进行了验证计算,验证计算所得洪痕水位与调查成果基本一致,说明所建立的数学模型能够较为准确地描述串流区内的水流运动. The planar two-dimensional hydrodynamics model is used to describe the flow of the flood, and the effect of the direct rainfall runoff and the slope flow is integrated into the hydrodynamic model in the form of surface source and side-entry respectively. Compared with the existing discrete methods, this method does not need coordinate transformation of the control equations, so the discrete equation is simple in form and the physical concept is clear, and it is suitable for the general curved grid, The ability to adapt to complex regions is strong. The historical flood data from 1943 in North Ruhe River Basin are validated and calculated. The calculated flood level is consistent with the survey results, indicating that the mathematical model established can describe the flow field more accurately Inside the water movement.