摘要
将双曲型方程的ＴＶＤ和ＥＮＯ格式推广于一维浅水方程组，构造了一种守恒算法．将其用于天然河道溃坝波传播计算，算得结果和解析解符合好，分辨率高．实际天然梯级水库溃坝洪水波传播的数值模拟表明该格式稳定，适应性强．
A conservative algorithm is presented by extending TVD and ENO schemes for hyperbolic conservation laws to 1D shallow water equations. The resulting scheme can be applied to the computation of the dam-break waves in the natural river courses. The numerical results are quite in agreement with the analytical solutions. The numerical simulation of the dam-break flood wave propagation in the practical natural cascade reservoirs shows that the proposed scheme is stable and quite robust.
出处
《水电能源科学》
1997年第4期12-16,共5页
Water Resources and Power
关键词
有限差分法
天然河道
水库
溃坝波
洪水波
finite difference method, shallow-water equations, naturalriver courses, TVD schemes, ENO schemes
