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采用有限近似法5点格式离散二维浅水波方程组,建立平面二维溃坝洪水波模型。通过与平底无摩擦二维非对称部分溃坝问题其他数模的结果比较,结果表明该模型能够较好地模拟自由面的变化规律,具有较强的间断捕捉能力。进而对实际地形下的二维溃坝问题进行了计算模拟,给出了精细的数值结果,揭示了复杂的运动特性,进一步显示了有限近似法模拟溃坝洪水波间断面的形状和位置的优良性能,是求解溃坝流动的有效方法之一。
A 5-point finite element approximation method was used to discretize the two-dimensional shallow water equations to establish a two-dimensional dam-break flood wave model. The results show that the model can better simulate the variation of free surface and have stronger ability of intermittent catching. Furthermore, the two-dimensional dam failure problem under actual terrain is calculated and simulated, the numerical results are given, the complex motion characteristics are revealed, and the finite approximation method is also used to simulate the shape and position of the dam breakwater wave section The performance is one of the effective methods to solve the dam collapse.