Abstract
The aim of this work is to present a numerical method for fast evolving flows governed by the two-dimensional shallow water equations semi-coupled with the Exner sediment balance equation for bed evolutions. The method is based on Chorin’s projection, which combines the momentum and continuity equations in order to establish a Poisson-type equation for the water surface level including the bed evolution. The equations are discretized using an unstructured finite-volume technique. In the model, a second-order upwind scheme combined with a Local Extremum Diminishing method is developed to handle convection terms. A comparison with quasi-analytical and existing numerical results are done to test the performance of the used scheme, including the modeling of a dam-break on a mobile bed.
Published Version
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