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。
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.
出处
《水利学报》
EI
CSCD
北大核心
2007年第5期596-600,共5页
Journal of Hydraulic Engineering
关键词
WENO格式
溃坝
数值模拟
weighted essential non-oscillatory （WENO） scheme
Runge-Kutta time discretization
dam- break wave
numerical simulation
