Abstract:The governing equations, discretization method, and grid configuration of non-hydrostatic models are summarized based on review of the development of non-hydrostatic models. As the main limitation of non-hydrostatic models is the low computational efficiency, three kinds of approaches to improving the models efficiency are analyzed. Moreover, the main differences in the governing equations and numerical method between the non-hydrostatic and hydrostatic models are examined. The applications of non-hydrostatic models in coastal wave transformation and estuarine baroclinic problem are shown. The performances of non-hydrostatic models in these cases show that the models have advantages in simulating wave transformation, wave-structure interactions, and fresh water-salt water mixing in estuarial areas. Nevertheless, there are still many problems in the computational efficiency, boundary conditions, sallow-water nonlinearity, wave breaking, and practical applications of non-hydrostatic models. Finally, based on these problems, future directions for non-hydrostatic models are presented.