考虑水沙运动过程中的非恒定性及众多支流的影响，建立了三峡水库干支流河道一维非恒定水沙数学模型，并对水流方程组采用三级解法求解。采用三峡水库蓄水运用后2003年6月至2004年12月的水库实测水沙资料对模型进行了验证，验证结果有良好的一致性。本模型在使用1961-1970年系列年入库水沙条件及水库正常蓄水位调度方案下进行了水库冲淤100 a预测计算，计算结果较为合理，表明本模型可用于三峡水库水沙数值模拟。

A numerical model for simulating 1-D unsteady flow and sediment transport in the mainstream and its tributaries of the Three Gorges Reservoir (TGR) area was presented in this paper, and a three-gradation method was applied to solve the flow governing equation. The validity of the model was checked with the observed data of the TGR from June 2003 to December 2004. The calculated result was in good agreement with observed data. The model was further applied to predict the sedimentation process in the TGR in a 100year period with the discharge and sediment data of 1961 to 1970 series and under the normal water level operation condition. And the calculation results are reasonable. The simulated results show that this model could be used to simulate the discharge and sediment transport at the TGR.