A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry
| hal.structure.identifier | Rheinisch-Westfälische Technische Hochschule Aachen University [RWTH] | |
| dc.contributor.author | NOELLE, Sebastian | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | PARISOT, Martin | |
| hal.structure.identifier | Universität Bielefeld = Bielefeld University | |
| dc.contributor.author | TSCHERPEL, Tabea | |
| dc.date.accessioned | 2024-04-04T02:46:23Z | |
| dc.date.available | 2024-04-04T02:46:23Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 0036-1429 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191545 | |
| dc.description.abstractEn | This work is devoted to the structure of the time-discrete Green-Naghdi equations including bathymetry. We use the projection structure of the equations to characterize homogeneous and inhomogeneous boundary conditions for which the semi-discrete equations are well-posed. This structure allows us to propose efficient and robust numerical treatment of the boundary conditions that ensures entropy stability of the scheme by construction. Numerical evidence is provided to illustrate that our approach is suitable for situations of practical interest that are not covered by existing theory. | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.subject.en | shallow water flow | |
| dc.subject.en | Green-Naghdi equations | |
| dc.subject.en | dispersive equations | |
| dc.subject.en | boundary conditions | |
| dc.subject.en | prediction correction scheme | |
| dc.subject.en | projection method | |
| dc.subject.en | entropy satisfying scheme | |
| dc.title.en | A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Géophysique [physics.geo-ph] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Physique Atmosphérique et Océanique [physics.ao-ph] | |
| dc.identifier.arxiv | 2106.05048 | |
| bordeaux.journal | SIAM Journal on Numerical Analysis | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03256700 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03256700v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Numerical%20Analysis&rft.date=2022&rft.eissn=0036-1429&rft.issn=0036-1429&rft.au=NOELLE,%20Sebastian&PARISOT,%20Martin&TSCHERPEL,%20Tabea&rft.genre=article |
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