Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime
| hal.structure.identifier | Laboratoire Analyse, Géométrie et Applications [LAGA] | |
| dc.contributor.author | AUDUSSE, Emmanuel | |
| hal.structure.identifier | Numerical Analysis, Geophysics and Ecology [ANGE] | |
| dc.contributor.author | BOITTIN, Léa | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | PARISOT, Martin | |
| dc.date.accessioned | 2024-04-04T02:46:02Z | |
| dc.date.available | 2024-04-04T02:46:02Z | |
| dc.date.issued | 2021-07 | |
| dc.identifier.issn | 0764-583X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191514 | |
| dc.description.abstractEn | The present paper deals with the modeling and numerical approximation of bed load transport under the action of water. A new shallow water type model is derived from the stratified two-fluid Navier–Stokes equations. Its novelty lies in the magnitude of a viscosity term that leads to a momentum equation of elliptic type. The full model, sediment and water, verifies a dissipative energy balance for smooth solutions. The numerical resolution of the sediment layer is not trivial since the viscosity introduces a non-local term in the model. Adding a transport threshold makes the resolution even more challenging. A scheme based on a staggered discretization is proposed for the full model, sediment and water. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.subject.en | Free surface flow | |
| dc.subject.en | Shallow water equations | |
| dc.subject.en | Sediment transport | |
| dc.subject.en | Entropy dissipation | |
| dc.subject.en | Non-local effects | |
| dc.title.en | Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/m2an/2021031 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | ESAIM: Mathematical Modelling and Numerical Analysis | |
| bordeaux.page | 1635-1668 | |
| bordeaux.volume | 55 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03312836 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03312836v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=ESAIM:%20Mathematical%20Modelling%20and%20Numerical%20Analysis&rft.date=2021-07&rft.volume=55&rft.issue=4&rft.spage=1635-1668&rft.epage=1635-1668&rft.eissn=0764-583X&rft.issn=0764-583X&rft.au=AUDUSSE,%20Emmanuel&BOITTIN,%20L%C3%A9a&PARISOT,%20Martin&rft.genre=article |
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