洪水演进模型及冲击荷载数值分析

STUDY ON ROUTING MODEL AND IMPACT LOADING OF FLOOD

  • 摘要: 根据Saint-Venant方程组显式差分格式,在考虑底坡、水流阻力的基础上,推导了溃坝溃堤的一维洪水演进模型,该模型能够计算不同时刻、不同地段洪水演进过程中水深、流速等。在洪水演进模型的基础上,根据洪水演进的水深、流速和冲击时间,将一元非恒定流能量方程与洪水演进的解析解相结合,推导出一维洪水冲击荷载的计算公式。该模型能够较好地计算不同时刻、不同地段和不同高度处洪水冲击面的冲击荷载,冲击荷载随水深呈线性变化,且与上游静水位、距溃口的距离、冲击面高度、冲击时刻等参数有关。最后,对某算例进行了数值分析,计算了三种工况下的冲击荷载,并探讨了冲击荷载的变化规律。

     

    Abstract: Based on the explicit difference scheme of one-dimensional Saint-Venant water equation, a new explicit difference scheme is deduced to establish the evolutionary routing model of flood considering the bottom slope and the resistance to water flow. The water depth, current velocity and other parameters of flood at different time and distance during propagation process can be calculated with this model. Based on the data of water depth, current velocity and impact time, the computational formula about the impact loading of flood model is deduced by combining the one-dimensional unsteady flow energy equation and the analytic solution of flood routing. The impact loading of flood at different time and distance can be calculated simply with this formula. The impact loading changes linearly with the depth of water and relates to the upstream static level and distance, the height of the impact face and the impact time. Finally, the numerical analysis is carried out through calculating the impact loading of three cases and discussing its variation rule.

     

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