Models for cohesive sediments describing the evolution of the characteristics of particles

Emmanuel Frenod (1, 2)

1 CALVI - Scientific computation and visualization
2 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

The goal of this paper is to set up a framework designed to take into account the characteristics of sediment particles when transported by water. Our protocol consists in describing the characteristics of sediment particles via an additional variable, and to build operators involving this new variable, modeling the evolution of the particle characteristics. Several such operators are proposed, some based on principles of relaxation toward an equilibrium, and others on a description of the particles' aggregation and fragmentation process. A discrete version of the latter is also offered for numerical settings.

Mots clés: Integro-Differential Equations; Modeling; Cohesive Sediments; Relaxation Models; Aggregation and Fragmentation Models; Integro-Differential Equations.

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

Emmanuel Frenod. Models for cohesive sediments describing the evolution of the characteristics of particles. 2009. ⟨hal-00365357⟩