基于非结构化网格上的三维微幅自由表面流动非静压数值模型

建立了基于非结构化网格求解三维微幅自由表面流动非静压数值模型。一种有限差分法和有限体积法相结合的方法被用来在非结构化网格上离散控制方程。模型中采用分步法,以使压力项分解为静水压力项和动水压力项来单独处理。在每一时间步,得到关于水位和由压力泊松方程得到的动水压力的稀疏的线性方程组。模型是质量守恒的和对于重力波速、风应力、底摩阻、垂向黏性无条件稳定的。通过三个非恒定微幅自由表面流动算例的数值解和解析解的比较,验证了本文所建立的模型能够准确有效的预测三维微幅自由表面流动。

Three-dimensional non-hydrostatic model for small amplitude free surface flows with unstructured grid

A three-dimensional,non-hydrostatic pressure, numerical model for small amplitude free surface flows is presented. A robust finite difference-finite volume implementation is applied to discretize the governing equations on unstructured grid. A fractional step method is used to enable the pressure to be decomposed into its hydrostatic and hydrodynamic parts. At every time step, a linear, sparse system of equations is solved to compute the water elevations and then the hydrodynamic pressure is determined from...