A streamline derivative POD-ROM for advection-diffusion-reaction equations

We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-rea...

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Detalhes bibliográficos
Autor: Rubino, Samuele
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/90381
Acesso em linha:https://hdl.handle.net/11441/90381
https://doi.org/10.1051/proc/201864121
Access Level:acceso abierto
Palavra-chave:POD-ROM
Advection-diffusion-reaction equations
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spelling A streamline derivative POD-ROM for advection-diffusion-reaction equationsRubino, SamuelePOD-ROMAdvection-diffusion-reaction equationsWe introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-reaction equations. In this framework, the numerical analysis for the Finite Element (FE) discretization of the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Numerical tests for advection-dominated regime show the efficiency of the proposed method, as well the increased accuracy over the standard POD-ROM that discovers its well-known limitations very soon in the numerical settings considered, i.e. for low diffusion coefficients.Nous introduisons une nouvelle stratégie de modélisation de type streamline derivative basée sur projection pour la stabilisation numérique de modèles d’ordre réduit de type POD (PODROM). Comme première étape préliminaire, le modèle proposé est analysé et testé pour les équations d’advection-diffusion-réaction dominées par l’advection. Dans ce cadre, l’analyse numérique de la discrétisation par éléments finis (FE) du nouveau POD-ROM proposé est présentée, en dérivant principalement les estimations d’erreur correspondantes. Des tests numériques pour le régime dominé par l’advection montrent l’efficacité de la méthode proposée, ainsi que la précision accrue par rapport à la méthode POD-ROM standard qui d´ecouvre très rapidement ses limites bien connues dans le cas des paramètres numériques considérés, c’est-à-dire pour de faibles coefficients de diffusion.EDP SciencesEcuaciones Diferenciales y Análisis Numérico2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/90381https://doi.org/10.1051/proc/201864121reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésESAIM. Proceedings and surveys, 64, 121-136.https://www.esaim-proc.org/articles/proc/pdf/2018/04/proc186409.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/903812026-06-17T12:51:07Z
dc.title.none.fl_str_mv A streamline derivative POD-ROM for advection-diffusion-reaction equations
title A streamline derivative POD-ROM for advection-diffusion-reaction equations
spellingShingle A streamline derivative POD-ROM for advection-diffusion-reaction equations
Rubino, Samuele
POD-ROM
Advection-diffusion-reaction equations
title_short A streamline derivative POD-ROM for advection-diffusion-reaction equations
title_full A streamline derivative POD-ROM for advection-diffusion-reaction equations
title_fullStr A streamline derivative POD-ROM for advection-diffusion-reaction equations
title_full_unstemmed A streamline derivative POD-ROM for advection-diffusion-reaction equations
title_sort A streamline derivative POD-ROM for advection-diffusion-reaction equations
dc.creator.none.fl_str_mv Rubino, Samuele
author Rubino, Samuele
author_facet Rubino, Samuele
author_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
dc.subject.none.fl_str_mv POD-ROM
Advection-diffusion-reaction equations
topic POD-ROM
Advection-diffusion-reaction equations
description We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed model is analyzed and tested for advection-dominated advection-diffusion-reaction equations. In this framework, the numerical analysis for the Finite Element (FE) discretization of the proposed new POD-ROM is presented, by mainly deriving the corresponding error estimates. Numerical tests for advection-dominated regime show the efficiency of the proposed method, as well the increased accuracy over the standard POD-ROM that discovers its well-known limitations very soon in the numerical settings considered, i.e. for low diffusion coefficients.
publishDate 2018
dc.date.none.fl_str_mv 2018
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 https://hdl.handle.net/11441/90381
https://doi.org/10.1051/proc/201864121
url https://hdl.handle.net/11441/90381
https://doi.org/10.1051/proc/201864121
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv ESAIM. Proceedings and surveys, 64, 121-136.
https://www.esaim-proc.org/articles/proc/pdf/2018/04/proc186409.pdf
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 EDP Sciences
publisher.none.fl_str_mv EDP Sciences
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
_version_ 1869407750710099968
score 15.300719

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