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河道洪水的漫滩、溃堤及其在防洪保护区的耦合计算一直是数学模拟模型中的重点和难点。基于Navier-Stokes二维浅水方程,通过河道水位比较确定任意时刻水流流向、流量及动量的交换,并根据溃口展宽变化确定耦合节点和接口宽度,进行河道与防洪保护区的无缝连接,从而实现了漫滩、溃堤与防洪保护区洪水的时空动态耦合计算。基于DEM、遥感影像和实测断面的地形数据资料,提出了河道数字地形获取改进技术,同时利用热启动技术解决了溃口形状变动问题。通过实例研究表明,该模型可实现二维宽浅河道漫滩、溃堤和防洪保护区及其任意组合的洪水仿真。计算结果合理、可靠,供相关部门参考。
Floodplain floodplain, breakwater and its coupling calculation in flood control protected areas have always been the key points and difficulties in the mathematical simulation model. Based on Navier-Stokes two-dimensional shallow water equation, the flow direction, flow rate and momentum exchange can be determined at any time by comparison of river water level. The width of coupling node and interface can be determined according to the change of breach width, and the seamless connection between river channel and flood control protection zone can be realized Computation of Spatial and Temporal Dynamic Coupling Floods in Floodplain, Breakwater and Flood Prevention Area. Based on the data of topographic data of DEM, remote sensing image and measured section, an improved technique for digital terrain acquisition of the river was put forward. At the same time, the hot-start technique was used to solve the problem of the change of the breach shape. The case study shows that this model can simulate the flood of 2 - D wide river floodplain, bank collapse and flood control protected area and any combination thereof. Calculation results are reasonable and reliable for reference by relevant departments.