A Godunov-type scheme for 1-D shallow-water flow with uneven bottom

Based on exact the Riemann solution,this paper presents a Godunov-type scheme for 1-D shallow-water equations with uneven bottom.Central difference and the Riemann solution with "water level formulation" are used in the discretisation of the source term to keep the scheme well-balanced.Numerical experiments are presented to demonstrate that the scheme is robust,versatile and high in resolution.