ABSTRACT
Two high resolution methods for the simulation of open channel or river flow are presented. They are specially suited for flows including phenomena such as hydraulic jumps and bores. The methods are based on the theory of Total Variation Diminishing (TVD) schemes applied to the shallow water equations via flux difference splitting. The addition of a TVD conservative dissipation step to the widely used McCormack numerical scheme provides an interesting time stepping procedure for unsteady simulations, while an efficient implicit time integration method is used in cases where only the steady state solution is sought. Several computations are shown and comparison with the analytical solution, when available, asseses the validity of the numerical treatment.
