用有限近似法求解二维溃坝波的演进

为了对水库和堤防的失事影响作出定量评价，以便合理确定水库或堤防的防洪标准以及采取恰当的避险措施。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结果的比较，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。进而模拟有障碍物水槽中的二维溃坝波绕流现象，给出了精细的数值结果，揭示了水流复杂的运动特性。研究结果表明了有限近似法在模拟溃坝洪水波间断的形状和位置方面的优良性能，是求解溃坝流动的有效方法之一。

Solution for propagation of 2D dam-break flood waves with finite proximate method

To make a quantitative assessment on the impact of a dam or dyke failure and determine its reasonable flood control standard,so as to take proper countermeasures,we establish a model of 2D dam-break flood waves using 2D discrete shallow water wave equations with 5 grids of finite proximate method.Compared with other mathematical model results of 2D non-symmetric dam-break problems in a frictionless,horizontal channel,we conclude that with strong ability of un-continuous capture,the model can well simulate t...