Title :

Numerical scheme for a stratigraphic model with erosion constraint and nonlinear gravity flux

Author(s) :

Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Granjeon, Didier [Auteur]
IFP Energies nouvelles [IFPEN]
Peton, Nicolas [Auteur]
IFP Energies nouvelles [IFPEN]
Tran, Quang Huy [Auteur]
IFP Energies nouvelles [IFPEN]
Wolf, Sylvie [Auteur]
IFP Energies nouvelles [IFPEN]

Conference title :

FVCA 8 - 2017 - International Conference on Finite Volumes for Complex Applications VIII

City :

Lille

Country :

France

Start date of the conference :

2017-06-12

Journal title :

Proceedings in Mathematics & Statistics

Publisher :

Springer

English keyword(s) :

evolutionary p-Laplacian
weather-limited erosion
gravity-driven sediment transport
Stratigraphic forward modeling
complementarity problem

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

In this work, we study an extension of the model introduced by Eymard et al. [Int. J. Numer. Methods Engrg. 60, 527–248 (2004)] for the simulation of large scale transport processes of sediments, subject to an erosion ...
Show more >In this work, we study an extension of the model introduced by Eymard et al. [Int. J. Numer. Methods Engrg. 60, 527–248 (2004)] for the simulation of large scale transport processes of sediments, subject to an erosion constraint. The novelty we consider lies in the diffusion law relating the flux of sediments and the slope of the topography, that now involves a p-Laplacian with p > 2 in order to get more realistic landscape evolutions. This physical sophistication entails the construction of an entirely new numerical scheme, the details of which shall be supplied.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL