One dimensional modeling of dam break flow over erodible sediment bed

This paper deals with the simulation of dam break waves over movable beds. The aim of this work is to analyze the suitability of a model proposed in the simulation of debris flow events. It is based on a shallow water approach and the system of equations includes two mass conservation equations (one for the mixture and another for the solid phase) and a single momentum balance equation. A uniform distribution of velocity is also assumed in the cross section. Moreover, the model takes into account a non equilibrium transport of the sediments based on an auxiliary relationship that introduces an erosion / deposition velocity. The governing equations are solved in coupled way by the implementation of an explicit first-order finite volume method. The model has been tested in a number of experimental cases and has achieved fairly good agreements between the simulation and the measurement.