Upstream mobility finite volumes for the ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Upstream mobility finite volumes for the Richards equation in heterogenous domains
Author(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 correspondant]
IFP Energies nouvelles [IFPEN]
Tran, Quang-Huy [Auteur]
Institut Jacques Monod [IJM (UMR_7592)]
Reliable numerical approximations of dissipative systems [RAPSODI]
IFP Energies nouvelles [IFPEN]
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)]
Journal title :
ESAIM: Mathematical Modelling and Numerical Analysis
Pages :
2101-2139
Publisher :
EDP Sciences
Publication date :
2021-09
ISSN :
0764-583X
English keyword(s) :
Richards’ equation
heterogeneous domains
finite-volume schemes
mobility upwinding
heterogeneous domains
finite-volume schemes
mobility upwinding
HAL domain(s) :
Mathématiques [math]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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