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使用σ坐标变换技术,用连续方程求解水位,动量方程求解流速,在水平方向上使用ADI方法,σ向间距递减分层,建立三维水流数学模型。用研究区段实测流速及水位进行验证,表明模型具有良好的质量守恒性质。以验证后的模型模拟截流时戗堤口门宽度分别为50m和35m时戗堤上下游水位变化、轴线断面流速分布及轴线附近流速的变化规律。结果表明,三维水流计算结果与物理模型的实测结果基本一致,为电站截流的水流数学模型提供了一种新的研究思路。
Using the sigma-delta transformation technique, the water level and momentum equations are solved by the continuous equation, and the flow velocity is solved by using the ADI method in the horizontal direction. The measured velocity and water level in the study area were used to verify that the model has good quality conservation. According to the verified model, the variation of upstream and downstream water level, the distribution of axial section velocity and the velocity near the axis of the embankment when the gate width of embankment is 50m and 35m respectively are simulated. The results show that the calculated results of three-dimensional water flow are basically consistent with the measured results of the physical model, and provide a new research idea for the flow mathematical model of river closure.