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Sediment transport modeling

During CEMRACS'11, dedicated to Multi Scale Coupling of Complex Models, I participated in the project MOHYSE (hydro-sedimentary modeling) where we focus on the modeling of sediment transport :

where Q=Hu is the water discharged and H is the water height.

We mainly focus on the bed load transport. We first propose a coupled numerical scheme for the classical Saint Venant - Exner model. It is based on a relaxation approach and it works with all sediment flux function. We exhibit that this coupled approach is more stable than the splitting approach that is mostly used in industrial softwares. Then we derive an original three layers model in order to overcome the difficulties that are encountered when using the classical Exner approach and we write a related relaxation model.

Dam Break with big downstream water height
Dam Break with small downstream water height
Saint-Venant Exner sub-critical flow with As=0.07
Saint-Venant Exner sub-critical flow with As=0.005
The bottom of the Saint-Venant Exner 2D simulated with FreeFem++
Isoline of the bottom of the Saint-Venant Exner 2D with FreeFem++
Saint-Venant Exner 1D dam break with FreeFem++, As=0.07
Saint-Venant Exner 1D dam break with FreeFem++, As=0.07
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