Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations

We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow to automatically determine the zone where the turbulent kinetic energy must be...

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Detalles Bibliográficos
Autores: Bernardi, Christine, Chacón Rebollo, Tomás, Hecht, Frédéric, Lewandowski, Roger
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2009
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47452
Acceso en línea:http://hdl.handle.net/11441/47452
https://doi.org/10.1142/S0218202509003747
Access Level:acceso abierto
Palabra clave:Navier-Stokes equations
Turbulence models
Finite elements
Error estimates
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spelling Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equationsBernardi, ChristineChacón Rebollo, TomásHecht, FrédéricLewandowski, RogerNavier-Stokes equationsTurbulence modelsFinite elementsError estimatesWe consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow to automatically determine the zone where the turbulent kinetic energy must be inserted in the Navier–Stokes equations and also to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach.Nous considérons une discrétisation par éléments finis des équations de Navier-Stokes couplées localement avec l’équation de l’énergie cinétique turbulente par une viscosité turbulente. Nous prouvons des estimations d’erreur a posteriori qui permettent de déterminer automatiquement la zône où l’énergie cinétique turbulente doit être insérée dans les équations de Navier-Stokes et simultanément d’adapter le maillage pour optimiser la discrétisation de ces équations. Des résultats numériques confirment l’intérêt d’une telle approche.Marie Curie Programme (European Union)Programa Nacional de I+D+I del Estado EspañolWorld Scientific PublishingEcuaciones Diferenciales y Análisis NuméricoFQM120: Modelado Matemático y Simulación de Sistemas MedioambientalesEuropean Union (UE)2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/47452https://doi.org/10.1142/S0218202509003747reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMathematical Models and Methods in Applied Sciences, 19 (7), 1139-1183.MTM2006-127575http://www.worldscientific.com/doi/pdf/10.1142/S0218202509003747info:eu-repo/semantics/openAccessoai:idus.us.es:11441/474522026-06-17T12:51:07Z
dc.title.none.fl_str_mv Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
title Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
spellingShingle Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
Bernardi, Christine
Navier-Stokes equations
Turbulence models
Finite elements
Error estimates
title_short Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
title_full Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
title_fullStr Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
title_full_unstemmed Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
title_sort Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
dc.creator.none.fl_str_mv Bernardi, Christine
Chacón Rebollo, Tomás
Hecht, Frédéric
Lewandowski, Roger
author Bernardi, Christine
author_facet Bernardi, Christine
Chacón Rebollo, Tomás
Hecht, Frédéric
Lewandowski, Roger
author_role author
author2 Chacón Rebollo, Tomás
Hecht, Frédéric
Lewandowski, Roger
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM120: Modelado Matemático y Simulación de Sistemas Medioambientales
European Union (UE)
dc.subject.none.fl_str_mv Navier-Stokes equations
Turbulence models
Finite elements
Error estimates
topic Navier-Stokes equations
Turbulence models
Finite elements
Error estimates
description We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow to automatically determine the zone where the turbulent kinetic energy must be inserted in the Navier–Stokes equations and also to perform mesh adaptivity in order to optimize the discretization of these equations. Numerical results confirm the interest of such an approach.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/47452
https://doi.org/10.1142/S0218202509003747
url http://hdl.handle.net/11441/47452
https://doi.org/10.1142/S0218202509003747
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematical Models and Methods in Applied Sciences, 19 (7), 1139-1183.
MTM2006-127575
http://www.worldscientific.com/doi/pdf/10.1142/S0218202509003747
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 World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
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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score 15.301603

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