The bedload transport system of equations, composed by the two-dimensional shallow
water equations for the free surface flow motion and the 2D Exner or bedload transport …

Several sediment transport models coupled with shallow water equations have been
developed in the literature over the past few decades. The water flow in the presence of …

In this paper, we study dam break phenomenon over a movable bed through a mathematical
model. The model dynamically links the hydrodynamic and sediment transport. To solve the …

In this note we are interested in the modelling of sediment transport phenomena. We mostly
focus on bedload transport and we do not consider suspension sediment processes. We first …

This paper describes the numerical scheme of the one-dimensional Exner-shallow water
equations for sediment modeling. Here, our novel numerical scheme is called hydrostatic …

The staggered numerical scheme is shown to be a robust and simple method for the
approximation of the Exner–shallow water equations for bedload sediment modeling …

This thesis is devoted to the numerical approximation of the shallow water equations and of
some related models. In the first part, we analyze the mathematical properties and the …

In this paper we study Exner system and introduce a modified general definition for bedload
transport flux. The new formulation has the advantage of taking into account the thickness of …

Within the framework of the de Saint Venant equations coupled with the Exner equation for
morphodynamic evolution, this work presents a new efficient implementation of the Dumbser …

In the present work we aim to simulate shallow water flows over movable bottom with
suspended and bedload transport. In order to numerically approximate such a system, we …