Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2021

Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime

Résumé

The present paper deals with the modeling and numerical approximation of bed load transport under the action of water. A new shallow water type model is derived from the stratified two-fluid Navier–Stokes equations. Its novelty lies in the magnitude of a viscosity term that leads to a momentum equation of elliptic type. The full model, sediment and water, verifies a dissipative energy balance for smooth solutions. The numerical resolution of the sediment layer is not trivial since the viscosity introduces a non-local term in the model. Adding a transport threshold makes the resolution even more challenging. A scheme based on a staggered discretization is proposed for the full model, sediment and water.
Fichier principal
Vignette du fichier
m2an200222.pdf (2.37 Mo) Télécharger le fichier
Origine Publication financée par une institution

Dates et versions

hal-03312836 , version 1 (02-08-2021)

Identifiants

Citer

Emmanuel Audusse, Léa Boittin, Martin Parisot. Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (4), pp.1635-1668. ⟨10.1051/m2an/2021031⟩. ⟨hal-03312836⟩
224 Consultations
145 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More