Shock profiles for the Shallow-water Exner models
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | BERTHON, Christophe | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | BOUTIN, Benjamin | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TURPAULT, Rodolphe | |
| dc.date.accessioned | 2024-04-04T03:17:34Z | |
| dc.date.available | 2024-04-04T03:17:34Z | |
| dc.date.issued | 2015-06 | |
| dc.identifier.issn | 0065-2156 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194317 | |
| dc.description.abstractEn | This article is devoted to analyze some ambiguities coming from a class of sediment transport models. The models under consideration are governed by the coupling between the shallow-water and the Exner equations. Since the PDE system turns out to be an hyperbolic system in non conservative form, ambiguities may occur as soon as the solution contains shock waves. To enforce a unique definition of the discontinuous solutions, we adopt the path-theory introduced by Dal Maso, LeFLoch and Murat. According to the path choices, we exhibit several shock definitions and we prove that a shock with a constant propagation speed and a given left state may connect an arbitrary right state. As a consequence, additional assumptions (coming from physical considerations or other arguments) must be chosen to enforce a unique definition. Moreover, we show that numerical ambiguities may still exist even when such a choice is made. | |
| dc.description.sponsorship | Nouveaux schémas numériques pour des phénomènes géophysiques extrêmes - ANR-12-IS01-0004 | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | New York ; London ; Paris [etc] : Academic Press | |
| dc.subject.en | Non-conservative products | |
| dc.subject.en | Shallaow water equations | |
| dc.subject.en | Exner equation | |
| dc.subject.en | Shock Profile | |
| dc.subject.en | Finite volumes | |
| dc.title.en | Shock profiles for the Shallow-water Exner models | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4208/aamm.2013.m331 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Advances in Applied Mechanics | |
| bordeaux.page | 267-294 | |
| bordeaux.volume | 7 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01202866 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01202866v1 | |
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