Titre :

Robust Newton solver based on variable switch for a finite volume discretization of Richards equation

Auteur(s) :

Bassetto, Sabrina [Auteur]
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 manifestation scientifique :

Finite Volumes for Complex Applications IX

Ville :

Bergen

Pays :

Norvège

Date de début de la manifestation scientifique :

2020-06-15

Date de publication :

2020

Mot(s)-clé(s) en anglais :

Degenerate parabolic equation
nonlinear solver
variable switch

Discipline(s) HAL :

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

Résumé en anglais : [en]

We propose an efficient nonlinear solver for the resolution of the Richards equation. It is based on variable switching and is easily implemented thanks to a fictitious variable allowing to describe both the saturation and ...
Lire la suite >We propose an efficient nonlinear solver for the resolution of the Richards equation. It is based on variable switching and is easily implemented thanks to a fictitious variable allowing to describe both the saturation and the pressure. Numerical experiments show that our method enables to use Newton's method with large time steps, reasonable number of iterations and in regions where the pressure-saturation relationship is given by a graph.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL