On the numerical approximation of Boussinesq/Boussinesq systems for internal waves

Producción Científica

Detalhes bibliográficos
Autores: Dougalis, Vassilios A., Saridaki, Leetha, Durán Martín, Ángel
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2023
País:España
Recursos:Universidad de Valladolid
Repositorio:UVaDOC. Repositorio Documental de la Universidad de Valladolid
OAI Identifier:oai:uvadoc.uva.es:10324/62407
Acesso em linha:https://doi.org/10.1002/num.23021
https://uvadoc.uva.es/handle/10324/62407
Access Level:acceso abierto
Palavra-chave:Boussinesq/Boussinesq systems
error estimates
internal waves
solitary waves
spectral methods
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spelling On the numerical approximation of Boussinesq/Boussinesq systems for internal wavesDougalis, Vassilios A.Saridaki, LeethaDurán Martín, ÁngelBoussinesq/Boussinesq systemserror estimatesinternal wavessolitary wavesspectral methodsProducción CientíficaThe present paper is concerned with the numerical approximation of a three-parameter family of Boussinesq systems. The systems have been proposed as models of the propagation of long internal waves along the interface of a two-layer system of fluids with rigid-lid condition for the upper layer and under a Boussinesq regime for the flow in both layers. We first present some theoretical properties of the systems on well-posedness, conservation laws, Hamiltonian structure, and solitary-wave solutions, using the results for analogous models for surface wave propagation. Then the corresponding periodic initial-value problem is discretized in space by the spectral Fourier Galerkin method and for each system, error estimates for the semidiscrete approximation are proved. The spectral semidiscretizations are numerically integrated in time by a fourth-order Runge–Kutta-composition method based on the implicit midpoint rule. Numerical experiments illustrate the accuracy of the fully discrete scheme, in particular its ability to simulate accurately solitary-wave solutions of the systems.PID2020-113554GB-I00/AEI/10.13039/501100011033 Ministerio de Ciencia e Innovación.VA193P20 Junta de Castilla y LeónWiley2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://doi.org/10.1002/num.23021https://uvadoc.uva.es/handle/10324/62407reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolidinstname:Universidad de ValladolidIngléshttps://onlinelibrary.wiley.com/doi/10.1002/num.23021info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/oai:uvadoc.uva.es:10324/624072026-06-13T12:44:47Z
dc.title.none.fl_str_mv On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
title On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
spellingShingle On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
Dougalis, Vassilios A.
Boussinesq/Boussinesq systems
error estimates
internal waves
solitary waves
spectral methods
title_short On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
title_full On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
title_fullStr On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
title_full_unstemmed On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
title_sort On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
dc.creator.none.fl_str_mv Dougalis, Vassilios A.
Saridaki, Leetha
Durán Martín, Ángel
author Dougalis, Vassilios A.
author_facet Dougalis, Vassilios A.
Saridaki, Leetha
Durán Martín, Ángel
author_role author
author2 Saridaki, Leetha
Durán Martín, Ángel
author2_role author
author
dc.subject.none.fl_str_mv Boussinesq/Boussinesq systems
error estimates
internal waves
solitary waves
spectral methods
topic Boussinesq/Boussinesq systems
error estimates
internal waves
solitary waves
spectral methods
description Producción Científica
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1002/num.23021
https://uvadoc.uva.es/handle/10324/62407
url https://doi.org/10.1002/num.23021
https://uvadoc.uva.es/handle/10324/62407
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://onlinelibrary.wiley.com/doi/10.1002/num.23021
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname:Universidad de Valladolid
instname_str Universidad de Valladolid
reponame_str UVaDOC. Repositorio Documental de la Universidad de Valladolid
collection UVaDOC. Repositorio Documental de la Universidad de Valladolid
repository.name.fl_str_mv
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