A second-order well-balanced scheme for the shallow-water equations with topography
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | BERTHON, Christophe | |
| hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LOUBÈRE, Raphaël | |
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | MICHEL-DANSAC, Victor | |
| dc.date.accessioned | 2024-04-04T03:10:16Z | |
| dc.date.available | 2024-04-04T03:10:16Z | |
| dc.date.conference | 2016-08-01 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193676 | |
| dc.description.abstractEn | We consider the well-balanced numerical scheme for the shallow-water equations with topography introduced in [8] and its second-order well-balanced extension, which requires two heuristic parameters. The goal of the present contribution is to derive a parameter-free second-order well-balanced scheme. To that end, we consider a convex combination between the well-balanced scheme and a second-order scheme. We then prove that a relevant choice of the parameter of this convex combination ensures that the resulting scheme is both second-order accurate and well-balanced. Afterwards, we perform several numerical experiments, in order to illustrate both the second-order accuracy and the well-balance property of this numerical scheme. Finally, we outline some perspectives in a short conclusion. | |
| dc.description.sponsorship | Nouveaux schémas numériques pour des phénomènes géophysiques extrêmes - ANR-12-IS01-0004 | |
| dc.description.sponsorship | MOdèles, Oscillations et SchEmas NUmeriques - ANR-14-CE23-0007 | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.source.title | Springer Proceedings in Mathematics and Statistics | |
| dc.title.en | A second-order well-balanced scheme for the shallow-water equations with topography | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | HYP2016 | |
| bordeaux.country | DE | |
| bordeaux.title.proceeding | Springer Proceedings in Mathematics and Statistics | |
| bordeaux.conference.city | Aachen | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01513186 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2016-08-05 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01513186v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Springer%20Proceedings%20in%20Mathematics%20and%20Statistics&rft.au=BERTHON,%20Christophe&LOUB%C3%88RE,%20Rapha%C3%ABl&MICHEL-DANSAC,%20Victor&rft.genre=unknown |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||