| 魏文礼,郭永涛.基于加权本质无振荡格式的二维溃坝水流数值模拟[J].水利学报,2007,38(5):596-600 |
| 基于加权本质无振荡格式的二维溃坝水流数值模拟 |
| Numerical simulation of two dimensional dam break flow based on weighted essential non oscillatory schemes |
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| DOI： |
| 中文关键词: WENO格式 溃坝 数值模拟 |
| 英文关键词: weighted essential non oscillatory (WENO) scheme Runge Kutta time discretization dam break wave numerical simulation |
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| 摘要点击次数: 2045 |
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| 中文摘要: |
| 将加权本质无振荡WENO(Weighted essentially non oscillatory)格式和Runge-Kutta时间离散的思想应用于二维浅水控制方程的求解中，建立了模拟大坝瞬间全溃或局部溃倒所致的洪水演进过程的数学模型。应用该模型对一维矩形明渠中大坝瞬间全溃所致的水流运动进行了数值计算，并与理论解进行了比较，证实了方法的可靠性。最后用该模型预测了矩形河道中大坝瞬间局部溃倒时的洪水演进过程，模拟结果与实际相符。算例表明采用WENO格式所建立的高分辨率溃坝模型能够很好地模拟溃坝波的演进过程。 |
| 英文摘要: |
| The WENO (weighted essential non oscillatory) scheme and the concept of Runge Kutta time discretization method are applied to solve the equation of shallow 2-D dam break flow. The mathematical model for simulating the process of flood wave propagation due to the instantaneous complete dam break is established. The validity of the model is verified by the comparison of the calculated result with the analytic solution of a 1-D dam break wave. On this basis, the model is further used to calculate the flow of 2 D dam break. The preliminary analysis of the result shows that this method has good accurancy and good stability, and is feasible. |
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