Well-balanced Godunov-type scheme for 2D shallow water flow with triangle mesh

In order to establish a special well-balanced scheme technique for dealing with source term due to bottom topography constructed,this paper develops a well-balanced Godunov-type scheme of the second-order accuracy for 2D shallow water flow with triangle mesh. The numerical flux of the interface between cells are computed by the exact Riemann solver,and the improved dry Riemann solver is used to deal with wet/dry problem. The model is verified to compute some typical examples and the tidal bore on the Qiantang river.The results show that the scheme is robust and accurate,and worthy to be brought into wide use.