中文摘要：

有静水力学的压力的数字模型广泛地在在河，河口和沿海的区域里学习流动被利用了。静水力学的假设为垂直加速能被忽略的 thelarge 规模表面流动是有效的，要不是一些特别盒子水动力学压力重要。在这篇论文，垂直 2D 数学模型 withnon 静水力学的压力在σ坐标被实现。一个部分步方法被用来使压力能被分解成静水力学并且水动力学部件和 thepredictor 修正者途径及时被用于集成领域。最后，几个计算盒子被学习验证水动力学压力的贡献的重要性。

英文摘要：

Numerical models with hydrostatic pressure have been widely utilized in studying flows in rivers, estuaries and coastal areas. The hydrostatic assumption is valid for the large-scale surface flows where the vertical acceleration can be ignored, but for some particular cases the hydrodynamic pressure is important. In this paper, a vertical 2t） mathematical model with non-hydrostatic pressure was implemented in the σ coordinate. A fractional step method was used to enable the pressure to be decomposed into hydrostatic and hydrodynamic components and the predictor-corrector approach was applied to integration in time domain. Finally, several computational cases were studied to validate the importance of contributions of the hydrodynamic pressure.