A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves
In this paper we introduce a new reformulation of the Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves over a flat topography derived by Duchêne et al. [18]. These new Green–Naghdi systems are adapted to improve the frequency dispersion of the original model, they...
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2017
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| Online Access: | http://hdl.handle.net/10725/16611 https://doi.org/10.1016/j.compfluid.2017.07.012 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0045793017302505 |
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| _version_ | 1864513472936542208 |
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| author | Bourdarias, Christian |
| author2 | Gerbi, Stéphane Lteif, Ralph |
| author2_role | author author |
| author_facet | Bourdarias, Christian Gerbi, Stéphane Lteif, Ralph |
| author_role | author |
| dc.creator.none.fl_str_mv | Bourdarias, Christian Gerbi, Stéphane Lteif, Ralph |
| dc.date.none.fl_str_mv | 2017 2017-10 2025-02-18T14:27:11Z 2025-02-18T14:27:11Z |
| dc.identifier.none.fl_str_mv | 0045-7930 http://hdl.handle.net/10725/16611 https://doi.org/10.1016/j.compfluid.2017.07.012 Bourdarias, C., Gerbi, S., & Lteif, R. (2017). A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves. Computers & Fluids, 156, 283-304. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0045793017302505 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Computers & Fluids |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper we introduce a new reformulation of the Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves over a flat topography derived by Duchêne et al. [18]. These new Green–Naghdi systems are adapted to improve the frequency dispersion of the original model, they share the same order of precision as the standard one but have an appropriate structure which makes them much more suitable for the numerical resolution. We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach. Numerical simulations are then performed to validate the model and the numerical methods. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_a0fdac22ee692ed5aa8e0093b21ccab2 |
| identifier_str_mv | 0045-7930 Bourdarias, C., Gerbi, S., & Lteif, R. (2017). A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves. Computers & Fluids, 156, 283-304. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/16611 |
| publishDate | 2017 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal wavesBourdarias, ChristianGerbi, StéphaneLteif, RalphIn this paper we introduce a new reformulation of the Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves over a flat topography derived by Duchêne et al. [18]. These new Green–Naghdi systems are adapted to improve the frequency dispersion of the original model, they share the same order of precision as the standard one but have an appropriate structure which makes them much more suitable for the numerical resolution. We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach. Numerical simulations are then performed to validate the model and the numerical methods.Published2025-02-18T14:27:11Z2025-02-18T14:27:11Z20172017-10Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0045-7930http://hdl.handle.net/10725/16611https://doi.org/10.1016/j.compfluid.2017.07.012Bourdarias, C., Gerbi, S., & Lteif, R. (2017). A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves. Computers & Fluids, 156, 283-304.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://www.sciencedirect.com/science/article/pii/S0045793017302505enComputers & Fluidsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/166112025-02-18T14:27:11Z |
| spellingShingle | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves Bourdarias, Christian |
| status_str | publishedVersion |
| title | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| title_full | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| title_fullStr | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| title_full_unstemmed | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| title_short | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| title_sort | A numerical scheme for an improved Green–Naghdi model in the Camassa–Holm regime for the propagation of internal waves |
| url | http://hdl.handle.net/10725/16611 https://doi.org/10.1016/j.compfluid.2017.07.012 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0045793017302505 |