On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems

Enrique D. Fernandez-Nieto (1) , Carine Lucas (2) , Tomas Morales de Luna (3) , Stephane Cordier (2)

1 IMUS - Departamento de Matemática Aplicada I
2 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
3 Departamento de Matemáticas

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 the sediment layer which avoids mass conservation problems in certain situations. Moreover, it reduces to a classical solid transport discharge formula in the case of quasi-uniform regime. And as a particular case we obtain a model that introduces saturated effects. We also present several numerical tests where we compare the proposed sediment transport formula with the classical formulation and we show the behaviour of the new model in different configurations.

Mots clés: Sediment transport; Exner system; Shallow water; Finite Volume Method

Domaines: Equations aux dérivées partielles [math.AP]; Modélisation et simulation

Enrique D. Fernandez-Nieto, Carine Lucas, Tomas Morales de Luna, Stephane Cordier. On the influence of the thickness of the sediment moving layer in the definition of the bedload transport formula in Exner systems. 2013. ⟨hal-00821659v1⟩