非结构型浅水方程数值模式的建立及应用

用非结构三角形同位网格剖分计算区域、布置计算变量,用有限体积法离散方程,并采用推进线边界法处理动边界问题,从而建立了一种新的浅水方程数值模式.京唐港和三沙湾海域潮流的率定、验证结果表明,该模式不仅物理意义明确,数值方法简单,全域内满足水流质量和动量的守恒性,而且能更好地模拟海湾、河口复杂地形下的水流运动,反映水流漫滩和露滩等过程.

New non-structured numerical model for solving shallow water equation and its application

With non-structured collocated triangle grid to divide the computational region and to arrange the computation variables,the finite volume method to discretize formulas,and the progressive line boundary method to deal with the dynamic boundary,a new numerical model was developed for solving the 2-D shallow water equation.The model was applied to simulation of tides near Jingtang harbor and Sansha bay,and the calculated results were in good agreement with the field data.Study shows that the model is clear in physical meaning and simple in numerical calculation,and it satisfies the conservation of flow mass,momentum and continuity in computational regions.Moreover,it is effective for simulation of flow movement under complex topography near bays,and estuaries and for reflection of flood tides and ebb tides.