论文部分内容阅读
为了减小因溃堤洪水而造成的人员生命和财产损失,建立了能够模拟具有实际地形的溃堤水流的数学模型。该模型基于非结构网格的有限体积法,采用HLL格式的近似R iem ann解计算界面通量,并利用TVD-MU SCL格式和H ancock格式将计算精度升高到二阶。对底坡源项采用分解法处理,对摩阻项采用了半隐式离散的方法来增加计算的稳定性。通过溃坝算例和混合流算例,验证了该方法的稳定性、和谐性和健全性。该模型已应用于哈尔滨市松北区溃堤水流的模拟。结果表明,该模型能较好地模拟具有实际地形的溃堤水流运动。
In order to reduce the human life and property loss caused by the flood of embankment, a mathematical model that can simulate the actual embankment flow is established. Based on the finite volume method of unstructured grid, this model uses the approximate R iem ann solution of HLL format to calculate the interface flux, and uses TVD-MU SCL format and H ancock format to improve the computational accuracy to the second order. The source term of the slope is treated by the decomposition method, and semi-implicit discrete method is used to increase the stability of the calculation. The stability, harmony and robustness of the proposed method are verified by the dam failure examples and the mixed flow examples. The model has been applied to the simulation of water flow in the bank of Songbei District in Harbin. The results show that this model can well simulate the run-off of banked water with the actual terrain.