基于ENO格式的一维溃坝水流数值模拟

One-Dimensional Dam-Break Water Flow Numerical Simulation Based on ENO Schemes

将ENO格式和Runge-Kutta时间离散的思想应用于一维Saint-Venant方程组的求解,数值模拟溃坝洪水,得出了水位和流速的沿程分布。经与理论解比较可知,数值解在间断波附近没有出现数值振荡,水位和流速大小与理论解均吻合较好,表明采用ENO格式所建立的高分辨率模型能够很好地模拟溃坝波的演进过程。

In this paper, the ENO scheme and the Runge-Kutta time discertization method are applied to the one-dimensional Saint-Venant water equations for numerical simulation of dambreak flood water; and water depth and velocity along the distance distribution are obtained. It can be known via the theoretical comparison that the numerical resolutions have no numerical oscillatory at the discontinuity, and water depth and velocity computed are found to be in agreement with the analytical solutions. Thus indicating that the model with high resolutions established using ENO scheme is able to simulate the evaluation process of the dam-break waves.