Asymptotic derivation of a Navier condition for the primitive equations

This paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall law, for a fluid governed by Navier-Stokes equations when we want to model rough...

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Autores: Bresch, Didier, Guillén González, Francisco Manuel, Masmoudi, Nader, Rodríguez Bellido, María Ángeles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40301
Acceso en línea:http://hdl.handle.net/11441/40301
Access Level:acceso abierto
Palabra clave:Navier boundary conditions
primitive equations
asymptotic analysis
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spelling Asymptotic derivation of a Navier condition for the primitive equationsBresch, DidierGuillén González, Francisco ManuelMasmoudi, NaderRodríguez Bellido, María ÁngelesNavier boundary conditionsprimitive equationsasymptotic analysisThis paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall law, for a fluid governed by Navier-Stokes equations when we want to model roughness. We consider here an anisotropic Navier boundary condition corresponding to the anisotropic Navier-Stokes equations. By an asymptotic analysis with respect to the aspect ratio of the domain, we obtain a friction boundary condition for the limit system, that is for the primitive equations. This asymptotic boundary condition only concerns the trace of the horizontal components of the velocity field and the trace of its vertical derivative.Comisión Interministerial de Ciencia y TecnologíaIOS PressEcuaciones Diferenciales y Análisis NuméricoComisión Interministerial de Ciencia y Tecnología (CICYT). España2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/40301reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésnullMAR98–0486info:eu-repo/semantics/openAccessoai:idus.us.es:11441/403012026-06-17T12:51:07Z
dc.title.none.fl_str_mv Asymptotic derivation of a Navier condition for the primitive equations
title Asymptotic derivation of a Navier condition for the primitive equations
spellingShingle Asymptotic derivation of a Navier condition for the primitive equations
Bresch, Didier
Navier boundary conditions
primitive equations
asymptotic analysis
title_short Asymptotic derivation of a Navier condition for the primitive equations
title_full Asymptotic derivation of a Navier condition for the primitive equations
title_fullStr Asymptotic derivation of a Navier condition for the primitive equations
title_full_unstemmed Asymptotic derivation of a Navier condition for the primitive equations
title_sort Asymptotic derivation of a Navier condition for the primitive equations
dc.creator.none.fl_str_mv Bresch, Didier
Guillén González, Francisco Manuel
Masmoudi, Nader
Rodríguez Bellido, María Ángeles
author Bresch, Didier
author_facet Bresch, Didier
Guillén González, Francisco Manuel
Masmoudi, Nader
Rodríguez Bellido, María Ángeles
author_role author
author2 Guillén González, Francisco Manuel
Masmoudi, Nader
Rodríguez Bellido, María Ángeles
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
Comisión Interministerial de Ciencia y Tecnología (CICYT). España
dc.subject.none.fl_str_mv Navier boundary conditions
primitive equations
asymptotic analysis
topic Navier boundary conditions
primitive equations
asymptotic analysis
description This paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall law, for a fluid governed by Navier-Stokes equations when we want to model roughness. We consider here an anisotropic Navier boundary condition corresponding to the anisotropic Navier-Stokes equations. By an asymptotic analysis with respect to the aspect ratio of the domain, we obtain a friction boundary condition for the limit system, that is for the primitive equations. This asymptotic boundary condition only concerns the trace of the horizontal components of the velocity field and the trace of its vertical derivative.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/40301
url http://hdl.handle.net/11441/40301
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv null
MAR98–0486
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOS Press
publisher.none.fl_str_mv IOS Press
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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