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本文以水流和泥沙运动规律的研究成果为基础，建立了平面二维水沙模型。用有限元方法导出了本模型的离散方程式，用质量集中和预估校正法处理、迭代求解方程组。以黄河济南河段１９７６年汛期的洪水演进和河床演变为例从水位过程、流量过程、断面平均流速和最大流速、全域流速场和河床断面冲淤形态等方面，对模型进行了验证模拟计算。数值模拟计算结果与实测或物理模型试验结果符合较好。从而证明了本模型可靠性。
Based on the research results of the law of water flow and sediment movement, a two-dimensional water-sediment model is established. The finite element method is used to derive the discrete equation of this model, which is solved by mass concentration and estimated correction method. The equations are solved iteratively. Taking the flood evolution and riverbed evolution in Jinan section of the Yellow River in 1976 as an example, the model was validated from the aspects of water level, flow rate, average flow velocity and maximum flow velocity, global velocity field and the scouring and silting morphology of riverbed section. Numerical simulation results are in good agreement with the experimental or physical model test results. This proves the reliability of this model.