Upstream mobility finite volumes for the Richards equation in heterogenous domains

Bassetto, Sabrina; Cancès, Clément; Enchéry, Guillaume; Tran, Quang-Huy

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1051/m2an/2021047

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)]

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

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 >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :