A 2D local inertial equations model coupled with a 1D hydraulic model was established to simulate flood dispatching in river and flood detention areas. A simplified first-order accuracy finite volume method (FVM) solution was applied to the 2D model, and the source-type linking method was used at the coupling zones. The coupled model was calibrated by the historical flood process in the Daqing River basin, satisfactory agreements were obtained at the gauge points, and the flood arrival time was consistent with the recorded data. A flood dispatching simulation in the scenario of joint control of multiple gates was then performed. The operation sequence of the corresponding gates and the flood routing in each sub-basin were consistent with the dispatch rules. The convergence analysis based on the grid scale and convective acceleration terms was presented. The results indicated that a refined grid-scale yields better accuracy of the numerical solution, but this improvement is constrained by the resolution of the digital elevation model (DEM). In the lower range of Fr, the results of the hydraulic variables and the flood behaviours obtained by the local inertial equations model are identical to those of the full shallow-water equations (SWEs) model, which suggests that the approximation based on neglecting the convective acceleration terms is reasonable for the practical case of low velocity combined with an insignificant depth gradient.

建立二维局部惯性方程模型和一维水力模型，模拟河流和滞洪区的洪水调度。二维模型采用简化的一阶精度有限体积法（FVM）求解，耦合区采用源型链接法。耦合模型通过大清河流域历史洪水过程标定，各测点吻合较好，洪水​​到达时间与记录数据一致。然后进行了多闸联控场景下的洪水调度模拟。各子流域内相应闸门的​​运行顺序和洪水路径与调度规则一致。提出了基于网格尺度和对流加速度项的收敛性分析。结果表明，细化的网格尺度可以提高数值解的精度，但这种改进受到数字高程模型 (DEM) 分辨率的限制。在较低的范围内Fr，局部惯性方程模型得到的水力变量和洪水行为的结果与完全浅水方程（SWEs）模型的结果相同，这表明基于忽略对流加速项的近似是合理的低速度与微不足道的深度梯度相结合的实际情况。