Upstream mobility finite volumes for the ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Upstream mobility finite volumes for the Richards equation in heterogenous domains
Auteur(s) :
Bassetto, Sabrina [Auteur]
IFP Energies nouvelles [IFPEN]
Reliable numerical approximations of dissipative systems [RAPSODI]
Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Enchéry, Guillaume [Auteur correspondant]
IFP Energies nouvelles [IFPEN]
Tran, Quang-Huy [Auteur]
Institut Jacques Monod [IJM (UMR_7592)]
IFP Energies nouvelles [IFPEN]
Reliable numerical approximations of dissipative systems [RAPSODI]
Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Enchéry, Guillaume [Auteur correspondant]
IFP Energies nouvelles [IFPEN]
Tran, Quang-Huy [Auteur]
Institut Jacques Monod [IJM (UMR_7592)]
Titre de la revue :
ESAIM: Mathematical Modelling and Numerical Analysis
Pagination :
2101-2139
Éditeur :
EDP Sciences
Date de publication :
2021-09
ISSN :
0764-583X
Mot(s)-clé(s) en anglais :
Richards’ equation
heterogeneous domains
finite-volume schemes
mobility upwinding
heterogeneous domains
finite-volume schemes
mobility upwinding
Discipline(s) HAL :
Mathématiques [math]
Résumé en anglais : [en]
This paper is concerned with the Richards equation in a heterogeneous domain, each subdomain of which is homogeneous and represents a rocktype. Our first contribution is to rigorously prove convergence toward a weak solution ...
Lire la suite >This paper is concerned with the Richards equation in a heterogeneous domain, each subdomain of which is homogeneous and represents a rocktype. Our first contribution is to rigorously prove convergence toward a weak solution of cell-centered finite-volume schemes with upstream mobility and without Kirchhoff’s transform. Our second contribution is to numerically demonstrate the relevance of locally refining the grid at the interface between subregions, where discontinuities occur, in order to preserve an acceptable accuracy for the results computed with the schemes under consideration.Lire moins >
Lire la suite >This paper is concerned with the Richards equation in a heterogeneous domain, each subdomain of which is homogeneous and represents a rocktype. Our first contribution is to rigorously prove convergence toward a weak solution of cell-centered finite-volume schemes with upstream mobility and without Kirchhoff’s transform. Our second contribution is to numerically demonstrate the relevance of locally refining the grid at the interface between subregions, where discontinuities occur, in order to preserve an acceptable accuracy for the results computed with the schemes under consideration.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- m2an210010.pdf
- Accès libre
- Accéder au document
- m2an210010.pdf
- Accès libre
- Accéder au document
- document
- Accès libre
- Accéder au document
- m2an210010.pdf
- Accès libre
- Accéder au document