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基于湍流随机理论,针对黄河中游小浪底工程建成前的河段水沙流动特点,建立了河流的三维水沙流数学模型。在此模型中,采用各向异性湍流的Reynolds应力数值格式和自由面位置的Poisson方程,并将精细壁函数应用于边壁处理。建立了床面附近含沙量表达式,将传统的床沙级配控制方程推广到三维模型。在贴体坐标系下,用此数学模型计算了此河段的含沙量和流速沿河宽和垂线分布,计算结果与原型实测成果基本吻合,从而证明了此模型的可行性,以及计算方法和程序的可靠性。
Based on the stochastic turbulence theory, aiming at the characteristics of runoff and sediment in the reach of the Xiaolangdi Project in the middle reaches of Yellow River, a three-dimensional mathematical model of water and sediment flow was established. In this model, anisotropic turbulence Reynolds stress numerical format and free surface Poisson equation are used, and the fine wall function is applied to the sidewall treatment. The expression of sediment concentration near the bed surface is established, and the governing equation of bedding-bed gradation is extended to the three-dimensional model. Under the body coordinate system, the sediment concentration and velocity distribution along the river width and the vertical distribution are calculated by this mathematical model. The calculation results are in good agreement with the experimental results of the prototype, which proves the feasibility of the model and the calculation Method and procedure reliability.