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Calculation of overtopping discharge with time-dependent aspects of an embankment failure  

Kim, Hyung-Jun (한양대학교 대학원 토목공학과)
Kim, Jong-Ho (한양대학교 대학원 토목공학과)
Jang, Won-Jae (한양대학교 대학원 토목공학과)
Cho, Yong-Sik (한양대학교 토목공학과)
Publication Information
Journal of the Korean Society of Hazard Mitigation / v.7, no.3, 2007 , pp. 69-78 More about this Journal
Abstract
In this study, a time-dependent aspect of an embankment failure is considered to simulate a flood inundation map and calculate overtopping discharge induced by an embankment failure. A numerical model has been developed by solving the two dimensional nonlinear shallow water equations with a finite volume method on unstructured grids. To analyze a Riemann problem, the HLLC approximate Riemann solver and the Weighted Averaged Flux method are employed by using a TVD limiter and the source term treatment is also employed by using the operator splitting method. Firstly, the numerical model is applied to a dam break problem and a sloping seawall. Obtained numerical results show good agreements with experimental data. Secondly, the model is applied to a flow induced by an embankment failure by assuming that the width and elevation of embankment are varied with time-dependent functions. As a result of the comparison with each numerical overtopping discharge, established flood inundation discharges in the previous studies are overestimated than the result of the present numerical model.
Keywords
shallow water equations; Finite volume method; HLLC approximate Riemann solver; WAF method;
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