1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 10
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.
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Published In
Journal of Hydraulic Engineering
Volume 118 • Issue 10 • October 1992
Pages: 1359 - 1372
Copyright
Copyright © 1992 ASCE.
History
Published online: Oct 1, 1992
Published in print: Oct 1992
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