Title :

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

Author(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]

Conference title :

Finite Volumes for Complex Applications IX

City :

Bergen

Country :

Norvège

Start date of the conference :

2020-06-15

Publication date :

2020

English keyword(s) :

Degenerate parabolic equation
nonlinear solver
variable switch

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL