To deal with the moving boundary hydrodynamic problems of the tidal flats in shallow water flow models,a new wetting and drying (WD) method is proposed.In the new method,a "predicted water depth" is evaluated explicitly based on the simplified shallow water equations and used to determine the status (wet or dry) together with the direction of flow.Compared with previous WD method,besides the water elevation,more factors,such as the flow velocity and the surface shear stress,are taken into account in the new method to determine the moving boundary.In addition,a formula is deduced to determine the threshold,as critical water depth,which needs to be preset before simulations.The new WD method is tested with five cases including three 1D ones and two 2D ones.The results show that the new WD method can simulate the wetting and drying process,in both typical and practical cases,with smooth manner and achieves effective estimation of the retention volume at shallow water body.
As a primary parameter in the water quality model for shallow bays, the dispersion coeffcient is traditionally determined with a trial-and-error method, which is time-consuming and requires much experience. In this paper, based on the measured data of chemical oxygen demand (COD), the dispersion coeffcient is calculated using an inversion method. In the process, the regularization method is applied to treat the ill-posedness, and an operator identity perturbation method is used to obtain the solution. Using the model with an inverted dispersion coeffcient, the distributions of COD, inorganic nitrogen (IN), and inorganic phosphorus (IP) in Bohai Bay are predicted and compared with the measured data. The results indicate that the method is feasible and the inverted dispersion coeffcient can be used to predict other pollutant distribution. This method may also be further extended to the inversion of other parameters in the water quality model.
