A Splitting Method for Deep Water with Bathymetry
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MELINAND, Benjamin | |
| dc.date.accessioned | 2024-04-04T03:10:57Z | |
| dc.date.available | 2024-04-04T03:10:57Z | |
| dc.date.issued | 2017-07-29 | |
| dc.identifier.issn | 0272-4979 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193728 | |
| dc.description.abstractEn | In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on a splitting approach for studying this system. The advantage of this method is that it does not require any low pass filter to avoid spurious oscillations. We prove a local error estimate and we show that our scheme represents a good approximation of order one in time. Then, we perform some numerical experiments which confirm our theoretical result and we study three physical phenomena : the evolution of water waves over a rough bottom; the evolution of a KdV soliton when the shallowness parameter increases; the homogenization effect of rapidly varying topographies on water waves. | |
| dc.description.sponsorship | DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003 | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.subject.en | deep water | |
| dc.subject.en | splitting scheme | |
| dc.title.en | A Splitting Method for Deep Water with Bathymetry | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1606.01630 | |
| bordeaux.journal | IMA Journal of 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-01326794 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01326794v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IMA%20Journal%20of%20Numerical%20Analysis&rft.date=2017-07-29&rft.eissn=0272-4979&rft.issn=0272-4979&rft.au=BOUHARGUANE,%20Afaf&MELINAND,%20Benjamin&rft.genre=article |
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