An analysis of dam-break flow on slope |
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Affiliation: | [1]College of Civil Engineering, Fuzhou University, Fuzhou 350108, China; [2]vZhejiang Institute of Hydraulics and Estuary, Hangzhou 310020, China |
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Abstract: | The one-dimensional steep slope shallow water equations are used to model the dam-break flow down a uniform slope with arbitrary inclination, and analytical solutions are derived by the hodograph transformation and the Riemann's method in terms of evaluated integrals. An implicit analytical solution is obtained to evaluate the spatio-temporal distributions of dam-break flood hydrographs along the slope. For convenience, the solution for representative wave profiles and velocity distributions is shown in charts. Comparing with the Dressler's solution and WES experimental data, the analytical solution is seen reasonable. |
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Keywords: | dam-break flow slope hodograph transformation Riemann's method |
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