Two-dimensional numerical modeling of dam-break flows over natural terrain using a central explicit scheme

Jaswant, S. Mustafa, S.A.; Yan Ding

Advances in Water Resources 34(10): 0-1375

2011


ISSN/ISBN: 0309-1708
DOI: 10.1016/j.advwatres.2011.07.007
Accession: 036168718

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Abstract
A two-dimensional (2D) numerical model has been developed to solve shallow water equations for simulation of dam-break flows. The spatial derivatives are discretized using a well-balanced explicit central upwind conservative scheme. The scheme is Riemann solver free and guarantees the positivity of the flow depth over complex topography if the Courant number is kept less than .25. The time integration is performed by Euler s scheme. The model is verified against analytical results for water surface elevation and discharge for three benchmark test cases. A good agreement between analytical solutions and computed results is observed. The property of well-balancing in still. Highlights: We developed 2D numerical model for simulation of dam break flows. The model is uses a well-balanced, positivity-preserving central explicit scheme. The model is rigorously tested against complex analytical and experimental tests. The developed model is applied to simulate a real world problem. The model is found suitable for dam break flow simulation in real word.