Depth-averaged two-dimensional curvilinear explicit finite analytic model for open-channel flows

A depth-averaged two-dimensional model has been developed in the curvilinea r co-ordinate system for free-surface flow problems. The non-linear convect ive terms of the momentum equations are discretized based on the explicit-f inite-analytic method with second-order accuracy in space and first-order a ccuracy in time. The other terms of the momentum equations, as well as the mass conservation equation, are discretized by the finite difference method . The discretized governing equations are solved in turn, and iteration in each time step is adopted to guarantee the numerical convergence. The new m odel has been applied to various flow situations, even for the cases with t he presence of sub-critical and supercritical flows simultaneously or seque ntially. Comparisons between the numerical results and the experimental dat a show that the proposed model is robust with satisfactory accuracy. Copyri ght (C) 2000 John Wiley & Sons, Ltd.