摘要
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。
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 the change regularity of free surface.The round-flow of 2D dam-break waves in a water channel with obstacles are simulated numerically with precise numerical results to reveal their complicated flow characteristics.The results show that the finite proximate method is one of the effective tools to solve dam-break flow problems with its good performance of stimulating discontinuities of shapes and locations of dam-break flood waves.
出处
《人民长江》
北大核心
2011年第9期67-71,共5页
Yangtze River
关键词
浅水波方程
溃坝波
有限近似法
绕流
shallow water wave equation
dam-break flood waves
finite proximate method
round-flow
