用 TVD 显隐格式模拟一维溃坝洪水波的演进与反射

Simulation of 1 D dam break flood wave routing and reflection by using TVD schemes

本文应用空气动力学中的ＴＶＤ格式构造了用于溃坝水流计算的显隐格式，模拟瞬间全溃时洪水波的运动，给出了与分析解的比较及多种数值试验，结果表明这类格式精度高，稳定性好，不产生虚假的数值振荡，对溃坝涌波具有较强的捕捉能力．

In this paper,explicit and implicit TVD schemes for computation of aerodynamic are used to simulate the 1 D unsteady open channel flow of sudden dam break.The calculation resuls are compared with analytic solutions and some other results.It is demonstrated that higher accuracy,good stability and non oscillatory predictions are obtained and good shock capturing ability is shown.