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Analytical solution of shallow water equations for ideal dam-break flood along a wet bed slope
Wang, B. Chen, Y. Peng, Y. Zhang, J. Guo, Yakun
Wang, B.
Chen, Y.
Peng, Y.
Zhang, J.
Guo, Yakun
Publication Date
2020-02
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©2019 American Society of Civil Engineers. This material may be downloaded for personal use only. Any other use requires prior permission of the American Society of Civil Engineers. This material may be found at https://doi.org/10.1061/(ASCE)HY.1943-7900.0001683.
Peer-Reviewed
Yes
Open Access status
openAccess
Accepted for publication
2019-07-08
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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.
Version
Accepted manuscript
Citation
Wang B, Chen Y, Peng Y et al (2020) Analytical solution of shallow water equations for ideal dam-break flood along a wet bed slope. Journal of Hydraulic Engineering. 146(2): 06019020.
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Article