| Title: |
Upstream mobility finite volumes for the Richards equation in heterogenous domains |
| Authors: |
Bassetto, Sabrina; Cancès, Clément; Enchéry, Guillaume; Tran, Quang-Huy |
| Contributors: |
IFP Energies nouvelles (IFPEN); Reliable numerical approximations of dissipative systems (RAPSODI); Laboratoire Paul Painlevé - UMR 8524 (LPP); Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université de Lille; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria); Institut Jacques Monod (IJM (UMR_7592)); Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité); ANR-11-LABX-0007,CEMPI,Centre Européen pour les Mathématiques, la Physique et leurs Interactions(2011) |
| Source: |
ISSN: 2822-7840 ; EISSN: 2804-7214. |
| Publisher Information: |
CCSD; Société de Mathématiques Appliquées et Industrielles (SMAI) / EDP |
| Publication Year: |
2021 |
| Collection: |
IFP Énergies nouvelles: HAL-IFPEN |
| Subject Terms: |
Richards’ equation; heterogeneous domains; finite-volume schemes; mobility upwinding; [MATH]Mathematics [math] |
| Description: |
International audience ; 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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1051/m2an/2021047 |
| Availability: |
https://hal.science/hal-03377035; https://hal.science/hal-03377035v1/document; https://hal.science/hal-03377035v1/file/m2an210010.pdf; https://doi.org/10.1051/m2an/2021047 |
| Rights: |
http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.F933F4AE |
| Database: |
BASE |