1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme

Abstract

The addition of a dissipation step to the widely used McCormack numerical scheme is proposed for solving one‐dimensional open‐channel flow equations. The extra step is devised according to the theory of total variation diminishing (TVD) schemes that are capable of capturing sharp discontinuities without generating the spurious oscillations that more classical methods do. At the same time, the extra step does not introduce any additional difficulty for the treatment of the source terms of the equations. Results from several computations are presented and comparison with the analytical solution for some test problems is shown. The overall performance of the method can be considered very good, and it allows for accurate open‐channel flow computations involving hydraulic jumps and bores.