Abstract

A highly accurate numerical model for unsteady free surface flows, based on spatially averaged two-dimensional shallow water equations, is constructed. TVD-MacCormack scheme equipped with 4-step algorithm is employed as a numerical method. The capability of the model is tested against several exacting hydraulic problems that include the Stoker's analytical solution for a one-dimensional dam-break problem and the one-dimensional and two-dimensional experimental results for flood waves, propagating in a horizontal channel where equi-spaced solid cylinders are placed over full or half width of the channel, are initiated by instantaneous collapse of a dam.

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