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A numerical method for the analysis of flows under sluice gates of arbitrary geometry is described. The analysis starts with assumed free surface profile and two-dimensional discharge which are systematically modified to give the final result. The finite element method is used to analyze the flow region for each iteration. A curved cubic triangular element which gives a good representation of the boundary geometry and velocity field is employed. The calculated results compare favorably with those obtained by analytical methods but differ significantly from those found experimentally.
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Lewis T. Issacs (1977) studied this question.
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