A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators
In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order of precision that avoids the calculation of high order derivatives on the surface deformation is proposed. We show that t...
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2022
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| Online Access: | http://hdl.handle.net/10725/16613 https://doi.org/10.1016/j.amc.2022.127373 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0096300322004477 |
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| _version_ | 1864513472938639360 |
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| author | Lteif, Ralph |
| author2 | Gerbi, Stephane |
| author2_role | author |
| author_facet | Lteif, Ralph Gerbi, Stephane |
| author_role | author |
| dc.creator.none.fl_str_mv | Lteif, Ralph Gerbi, Stephane |
| dc.date.none.fl_str_mv | 2022 2022-11-01 2025-02-19T11:13:59Z 2025-02-19T11:13:59Z |
| dc.identifier.none.fl_str_mv | 0096-3003 http://hdl.handle.net/10725/16613 https://doi.org/10.1016/j.amc.2022.127373 Lteif, R., & Gerbi, S. (2022). A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators. Applied Mathematics and Computation, 432, 127373. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0096300322004477 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Applied Mathematics and Computation |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order of precision that avoids the calculation of high order derivatives on the surface deformation is proposed. We show that this formulation enjoys an extended range of applicability while remaining stable. Moreover, a significant improvement in terms of linear dispersive properties in high frequency regime is made due to the suitable adjustment of a dispersion correction parameter. 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 under two main goals: validating the model and the numerical methods and assessing the potential need of such higher-order model. The applicability of the proposed model and numerical method in practical problems is illustrated by a comparison with experimental data. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_5b89dab0f2c026f980c7784b080d4a63 |
| identifier_str_mv | 0096-3003 Lteif, R., & Gerbi, S. (2022). A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators. Applied Mathematics and Computation, 432, 127373. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/16613 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
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| spelling | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operatorsLteif, RalphGerbi, StephaneIn this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order of precision that avoids the calculation of high order derivatives on the surface deformation is proposed. We show that this formulation enjoys an extended range of applicability while remaining stable. Moreover, a significant improvement in terms of linear dispersive properties in high frequency regime is made due to the suitable adjustment of a dispersion correction parameter. 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 under two main goals: validating the model and the numerical methods and assessing the potential need of such higher-order model. The applicability of the proposed model and numerical method in practical problems is illustrated by a comparison with experimental data.Published2025-02-19T11:13:59Z2025-02-19T11:13:59Z20222022-11-01Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0096-3003http://hdl.handle.net/10725/16613https://doi.org/10.1016/j.amc.2022.127373Lteif, R., & Gerbi, S. (2022). A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators. Applied Mathematics and Computation, 432, 127373.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://www.sciencedirect.com/science/article/pii/S0096300322004477enApplied Mathematics and Computationinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/166132025-02-19T11:13:59Z |
| spellingShingle | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators Lteif, Ralph |
| status_str | publishedVersion |
| title | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| title_full | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| title_fullStr | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| title_full_unstemmed | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| title_short | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| title_sort | A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators |
| url | http://hdl.handle.net/10725/16613 https://doi.org/10.1016/j.amc.2022.127373 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0096300322004477 |