Mathematical modeling of non-cohesive earth dam breaches

A mathematical model of overtopping dam-break is developed using the coupled 1D shallow water equations on steep surface and the Exner equation.The model takes advantages of the Roe approximate Riemann solvers and the predictor-corrector scheme for the source term treatment.The issues of computational stability and accuracy on sediment erosion transport and bed evolution can thus be ensured.The result shows that the model is able to better simulate the process of non-cohesive earth dam breaches and provides a new approach for numerical modeling of overtop dam-break.