Titre :

On several numerical strategies to solve Richards' equation in heterogeneous media with Finite Volumes

Auteur(s) :

Bassetto, Sabrina [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
IFP Energies nouvelles [IFPEN]
Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Enchéry, Guillaume [Auteur]
IFP Energies nouvelles [IFPEN]
Tran, Quang Huy [Auteur]
IFP Energies nouvelles [IFPEN]

Titre de la revue :

Computational Geosciences

Pagination :

1297–1322

Éditeur :

Springer Verlag

Date de publication :

2022

ISSN :

1420-0597

Mot(s)-clé(s) en anglais :

Richards' equation
heterogeneous domains
finite volumes
Newton's method
parametrization based variable switch

Discipline(s) HAL :

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

Résumé en anglais : [en]

We benchmark several numerical approaches building on upstream mobility two-point flux approximation finite volumes to solve Richards' equation in domains made of several rocktypes. Our study encompasses four different ...
Lire la suite >We benchmark several numerical approaches building on upstream mobility two-point flux approximation finite volumes to solve Richards' equation in domains made of several rocktypes. Our study encompasses four different different schemes corresponding to different ways to approximate the nonlinear transmission condition systems arising at the interface between different rocks, as well as different resolution strategies based on Newton's method with variable switch. The different methods are compared on filling and drainage test cases with standard nonlinearities of Brooks-Corey and van Genuchten type, as well as with challenging steep nonlinearities.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL