非结构网格浅水方程隐式解法

An implicit method for shallow water equations on unstructured grids

基于非结构网格模拟河道复杂边界的研究域,应用算子分裂法剖分浅水方程,采用有限体积法离散,建立隐式格式的通量计算,构造一种模拟二维水流运动的隐式算法。该方法具有计算稳定的特点,并应用于长江南京段分汊河道的流场模拟,计算结果与实测结果吻合良好,验证了算法的可行性和有效性。

Based on unstructured grid generation technique, finite volume method and fractional step algorithm, a numerical implicit model was developed for the solution to the system of shallow water equations at the computational geometry associated with complex boundaries. With the implicit scheme to obtain the fluxes between the neighboring units, this model is numerical stabile. And it was applied to simulate the water flow pattern of the braided channel with islands of the Lower Changjiang river at Nanjing area. The result shows that the model is feasibility and validity.