论文部分内容阅读
不同形式 TVD格式存在数值性能上的差异 ,干底情况下的溃坝流动计算是数值模拟的难点 .本文引入单参数和双参数限量函数 ,建立了 Saint- Venant方程通量限制的组合型 TVD格式 ,作湿底和干底溃坝流动的数值计算 ,并分别与 Stoker理论解进行对比 ,揭示出不同限量函数在耗散性和压制性及不同水深比溃坝模拟方面存在性能上的差异 .定义了坝址处水深的扭曲系数 ,据此综合确定了最优限量函数 ,并成功地预报了水深比为 0 .0 0 0 8时的溃坝波 .这为多维及干底溃坝问题的计算提供了良好的数值手段 .
Different forms of TVD format have difference in numerical performance, and the dam-break flow calculation under dry conditions is a difficult point of numerical simulation.This paper introduces a single-parameter and two-parameter limited function to establish combined TVD format of the flux constraint of Saint-Venant equation , And compared them with Stoker theoretical solutions respectively to reveal the difference in performance between different limit functions in terms of dissipative and compressive properties and different water depths than the dam failure simulation. According to this, the optimal limit function is synthetically determined, and the dam break wave at a water depth ratio of 0.0808 is successfully predicted, which is the result of multi-dimensional and dry bottom dam-break calculation Provided a good numerical means.