Abstract
In modeling shocks in open channel flows, the traditional finite difference schemes become inefficient and warrant special numerical treatment for smooth computations. This paper provides a general introduction to the non-oscillatory high-resolution methodology, coupled with the advantages of using these conservative methods for open channel applications. Results of the numerical experiments are presented and compared to standard algorithm results, analytical solutions and experimental results to demonstrate the robustness of the high-resolution formulation. Finally results of flows with mixed flow conditions (as in hydraulic jump), indicate that the contribution of the Boussinesq pressure term is minimal. Besides showing robustness in capturing shocks in open channel, the results indicate that the effect of the grid spacing on the shock resolution is small. However, for jumps with high Froude numbers, the present formulation slightly underestimates the peak depth.
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