Analytical Solution of Shallow Water Equations for Ideal Dam-Break Flood along a Wet-Bed Slope
Publication: Journal of Hydraulic Engineering
Volume 146, Issue 2
Abstract
The existing analytical solutions of dam-break flow do not consider simultaneously the effects of wet downstream bottom and bed slope on the dam-break wave propagation. In this study, a new analytical solution for the shallow water equations (SWE) is developed to remove this limitation to simulate the wave caused by an instantaneous dam break. The approach adopts the method of characteristics and has been applied to simulate the dam-break flows with different downstream water depths and slopes. The analytical solutions have been compared with predictions by the lattice Boltzmann method and the agreement is good. Although the proposed analytical solution treats an idealized case, it is nonetheless suitable for assessing the robustness and accuracy of numerical models based on the SWE without the frictional slope.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request (such as the analytical and numerical data).
Acknowledgments
The authors would like to thank for the financial support of the National Natural Science Foundation of China (Grant Nos. 51879179 and 51579166) and Sichuan Science and Technology Program (No. 2019JDTD0007). The research is also supported by the Open Fund from the State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University (SKHL1809, SKHL1601, and SKHL1602). Comments made by reviewers have greatly improved the quality of the final paper.
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Published In
Journal of Hydraulic Engineering
Volume 146 • Issue 2 • February 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Feb 11, 2019
Accepted: Jul 8, 2019
Published online: Dec 4, 2019
Published in print: Feb 1, 2020
Discussion open until: May 4, 2020
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