| Title: |
On several numerical strategies to solve Richards' equation in heterogeneous media with Finite Volumes |
| 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) |
| Source: |
ISSN: 1420-0597. |
| Publisher Information: |
CCSD; Springer Verlag |
| Publication Year: |
2022 |
| Collection: |
LillOA (HAL Lille Open Archive, Université de Lille) |
| Subject Terms: |
Richards' equation; heterogeneous domains; finite volumes; Newton's method; parametrization based variable switch; MSC: 76S05; 65M08; 65H10; [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| Description: |
International audience ; We benchmark several numerical approaches building on upstream mobility two-point flux approximation finite volumes to solve Richards' equation in domains made of several rocktypes. Our study encompasses four different different schemes corresponding to different ways to approximate the nonlinear transmission condition systems arising at the interface between different rocks, as well as different resolution strategies based on Newton's method with variable switch. The different methods are compared on filling and drainage test cases with standard nonlinearities of Brooks-Corey and van Genuchten type, as well as with challenging steep nonlinearities. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1007/s10596-022-10150-w |
| Availability: |
https://hal.science/hal-03259026; https://hal.science/hal-03259026v1/document; https://hal.science/hal-03259026v1/file/BCET_interface.pdf; https://doi.org/10.1007/s10596-022-10150-w |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.DF251256 |
| Database: |
BASE |