根据近年来计算水力学在计算方法上的最新成果，提出了一种用于计算水流运动沿水深方向变化动水压力条件下的立面二维水动力学模型。模型中，采用基于Boussinesq假定的不可压缩牛顿流体的Navier-stokes方程作为控制方程，并对其做σ坐标变换，简化了计算区域。数值方法上，通过有限差分法离散控制方程，采用矩形交错网格，利用水位函数法求解自由水面流动，通过分步解法在交错网格上求解速度项和动水压力项。用该模型模拟了微幅波运动，并对模型计算结果与微幅波运动解析解进行比较，结果表明该立面二维水动力学模型具有良好的精度。

Based on latest achievements in the calculation method of computational hydraulics, a vertical 2-D hydrodynamic model  under hydrodynamic pressure is employed to calculate the change of water movement along the depth direction in facade. In this model, the Navier-Stokes equation of Boussinesq-assumed incompressible Newtonian fluid is used as governing equations, and the σ coordinate transformation is conducted to simplify the calculation domain. Moreover, the governing equation is discretized through finite difference method, and the free surface flows are solved through surface function method in rectangular staggered meshes. The speed of entry and the hydrodynamic pressure are solved in the staggered mesh system through step-by-step solution. The model is used to simulate micro-amplitude wave motion, and the results are compared with theoretical values. The comparison shows that this vertical 2-D hydrodynamic model is of good precision.