General boundary conditions for a Boussinesq model with varying bathymetry
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LANNES, David | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | RIGAL, Mathieu | |
| dc.date.accessioned | 2024-04-04T02:30:09Z | |
| dc.date.available | 2024-04-04T02:30:09Z | |
| dc.date.created | 2024-02 | |
| dc.date.issued | 2024-02-06 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190242 | |
| dc.description.abstractEn | This paper is devoted to the theoretical and numerical investigation of the initial boundary value problem for a system of equations used for the description of waves in coastal areas, namely, the Boussinesq-Abbott system in the presence of topography. We propose a procedure that allows one to handle very general linear or nonlinear boundary conditions. It consists in reducing the problem to a system of conservation laws with nonlocal fluxes and coupled to an ODE. This reformulation is used to propose two hybrid finite volumes/finite differences schemes of first and second order respectively. The possibility to use many kinds of boundary conditions is used to investigate numerically the asymptotic stability of the boundary conditions, which is an issue of practical relevance in coastal oceanography since asymptotically stable boundary conditions would allow one to reconstruct a wave field from the knowledge of the boundary data only, even if the initial data is not known. | |
| dc.description.sponsorship | Parois, congestion et vorticité dans les fluides : des défis théoriques aux applications environnementales - ANR-23-CE40-0014 | |
| dc.language.iso | en | |
| dc.rights.uri | http://creativecommons.org/licenses/by-sa/ | |
| dc.subject.en | Boussinesq-Abbott model | |
| dc.subject.en | Initial boundary value problem | |
| dc.subject.en | Inhomogeneous boundary conditions | |
| dc.subject.en | Dispersive boundary layer | |
| dc.subject.en | Nonlocal flux | |
| dc.subject.en | Finite volumes | |
| dc.title.en | General boundary conditions for a Boussinesq model with varying bathymetry | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Physique Atmosphérique et Océanique [physics.ao-ph] | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Dynamique des Fluides [physics.flu-dyn] | |
| dc.identifier.arxiv | 2402.03859 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04441332 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04441332v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2024-02-06&rft.au=LANNES,%20David&RIGAL,%20Mathieu&rft.genre=preprint |
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