一维溃坝涌波的特征线-激波装配法

Using a Shock Fitting Based on Characteristics for 1-D Dam-break Flow

基于特征线上的相容方程和激波点处的间断条件,构造了一维溃坝涌波的一种拟合计算的显格式,并进行了一维矩形断面水坝瞬间全溃洪水波演进的数值模拟。数值模拟结果与理论解的比较表明,这种方法精度高,很好地模拟了溃坝涌波和展示了溃坝波的运动特性,是研究溃坝涌波一种高精度的数值模拟方法。

By using the method of characteristics, a shock fitting schemes for computation of gas dynamics is proposed and used to simulate the 1-D unsteady open channel flow of sudden dam break. The calculation results are compared with analytic solutions. It is demonstrated that high accuracy, good stability are obtained and good shock-capturing ability is shown.