Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model

Detalhes bibliográficos
Autor(a) principal: Santos, Rômulo Damasclin Chaves dos
Data de Publicação: 2023
Outros Autores: Sales, Jorge Henrique Oliveira
Tipo de documento: Artigo
Idioma: eng
Título da fonte: The Journal of Engineering and Exact Sciences
Texto Completo: https://periodicos.ufv.br/jcec/article/view/16534
Resumo: The mathematical analysis, applied in this work, serves as a pillar for a broader investigation on the regularity of the Navier-Stokes Equations. In this context, this investigation marks a significant step forward in the advancement of the Smagorinsky model coupled with the LES methodology, resulting, based on the Banach and Sobolev Spaces, a new theorem that points the way to the construction of an anisotropic viscosity model (not yet discussed in the present work). At first, the effort dedicated here aims to present a more comprehensive mathematical analysis, promoting a more leveled understanding of the challenge posed by the regularity of the Navier-Stokes equations.
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spelling Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale ModelArtículo Analyse de l'écoulement turbulent avec les espaces de Banach et Sobolev dans la méthode LES intégrant le modèle de sous-grille de SmagorinskyArticle Analyse de l'écoulement turbulent avec les espaces de Banach et Sobolev dans la méthode LES intégrant le modèle de sous-grille de SmagorinskyAnálise do Escoamento Turbulento com Espaços de Banach e Sobolev no Método LES Incorporando o Modelo de Sub-malha de SmagorinskySmagorinsky modelBanach and Sobolev spacesTurbulent flow.Modelo Smagorinsky.Espaços de Banach e de SobolevEscoamento turbulento.Modelo Smagorinsky.Espacios de Banach y Sobolev.Flujo turbulento.Modèle Smagorinsky.Espaces Banach et Sobolev.Écoulement turbulent.The mathematical analysis, applied in this work, serves as a pillar for a broader investigation on the regularity of the Navier-Stokes Equations. In this context, this investigation marks a significant step forward in the advancement of the Smagorinsky model coupled with the LES methodology, resulting, based on the Banach and Sobolev Spaces, a new theorem that points the way to the construction of an anisotropic viscosity model (not yet discussed in the present work). At first, the effort dedicated here aims to present a more comprehensive mathematical analysis, promoting a more leveled understanding of the challenge posed by the regularity of the Navier-Stokes equations.El análisis matemático, aplicado en este trabajo, sirve como pilar para una investigación más amplia sobre la regularidad de las Ecuaciones de Navier-Stokes. En este contexto, esta investigación marca un importante paso adelante en el avance del modelo de Smagorinsky aunado a la metodología LES, dando como resultado, con base en los espacios de Banach y Sobolev, un nuevo teorema que señala el camino hacia la construcción de un modelo de viscosidad anisotrópica ( aún no discutido en este trabajo). En un principio, el esfuerzo dedicado aquí tiene como objetivo presentar un análisis matemático más completo, promoviendo una comprensión más nivelada del desafío que plantea la regularidad de las ecuaciones de Navier-Stokes.L'analyse mathématique, appliquée dans ce travail, sert de pilier à une enquête plus large sur la régularité des équations de Navier-Stokes. Dans ce contexte, cette investigation marque une avancée significative dans l'avancement du modèle de Smagorinsky couplé à la méthodologie LES, aboutissant, basé sur les espaces de Banach et Sobolev, à un nouveau théorème qui ouvre la voie à la construction d'un modèle de viscosité anisotrope ( pas encore abordé dans cet article). Dans un premier temps, l'effort consacré ici vise à présenter une analyse mathématique plus complète, favorisant une compréhension plus globale du défi posé par la régularité des équations de Navier-Stokes.A análise matemática, aplicada neste trabalho, serve de pilar para uma investigação mais ampla sobre a regularidade das Equações de Navier-Stokes. Nesse contexto, esta investigação marca um passo significativo no avanço do modelo de Smagorinsky acoplado à metodologia LES, resultando com base nos Espaços de Banach e de Sobolev, um novo teorema que aponta o caminho para a construção de um modelo de viscosidade anisotrópica (ainda não discutido no presente trabalho). A princípio, o esforço dedicado aqui, visa apresentar uma análise matemática mais abrangente, promovendo uma compreensão mais nivelada do desafio proposto pela regularidade das equações de Navier-Stokes.Universidade Federal de Viçosa - UFV2023-09-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1653410.18540/jcecvl9iss10pp16534-01eThe Journal of Engineering and Exact Sciences; Vol. 9 No. 10 (2023); 16534-01eThe Journal of Engineering and Exact Sciences; Vol. 9 Núm. 10 (2023); 16534-01eThe Journal of Engineering and Exact Sciences; v. 9 n. 10 (2023); 16534-01e2527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/16534/8224Copyright (c) 2023 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSantos, Rômulo Damasclin Chaves dosSales, Jorge Henrique Oliveira2024-03-26T17:18:00Zoai:ojs.periodicos.ufv.br:article/16534Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2024-03-26T17:18The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
Artículo Analyse de l'écoulement turbulent avec les espaces de Banach et Sobolev dans la méthode LES intégrant le modèle de sous-grille de Smagorinsky
Article Analyse de l'écoulement turbulent avec les espaces de Banach et Sobolev dans la méthode LES intégrant le modèle de sous-grille de Smagorinsky
Análise do Escoamento Turbulento com Espaços de Banach e Sobolev no Método LES Incorporando o Modelo de Sub-malha de Smagorinsky
title Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
spellingShingle Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
Santos, Rômulo Damasclin Chaves dos
Smagorinsky model
Banach and Sobolev spaces
Turbulent flow.
Modelo Smagorinsky.
Espaços de Banach e de Sobolev
Escoamento turbulento.
Modelo Smagorinsky.
Espacios de Banach y Sobolev.
Flujo turbulento.
Modèle Smagorinsky.
Espaces Banach et Sobolev.
Écoulement turbulent.
title_short Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
title_full Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
title_fullStr Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
title_full_unstemmed Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
title_sort Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
author Santos, Rômulo Damasclin Chaves dos
author_facet Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique Oliveira
author_role author
author2 Sales, Jorge Henrique Oliveira
author2_role author
dc.contributor.author.fl_str_mv Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique Oliveira
dc.subject.por.fl_str_mv Smagorinsky model
Banach and Sobolev spaces
Turbulent flow.
Modelo Smagorinsky.
Espaços de Banach e de Sobolev
Escoamento turbulento.
Modelo Smagorinsky.
Espacios de Banach y Sobolev.
Flujo turbulento.
Modèle Smagorinsky.
Espaces Banach et Sobolev.
Écoulement turbulent.
topic Smagorinsky model
Banach and Sobolev spaces
Turbulent flow.
Modelo Smagorinsky.
Espaços de Banach e de Sobolev
Escoamento turbulento.
Modelo Smagorinsky.
Espacios de Banach y Sobolev.
Flujo turbulento.
Modèle Smagorinsky.
Espaces Banach et Sobolev.
Écoulement turbulent.
description The mathematical analysis, applied in this work, serves as a pillar for a broader investigation on the regularity of the Navier-Stokes Equations. In this context, this investigation marks a significant step forward in the advancement of the Smagorinsky model coupled with the LES methodology, resulting, based on the Banach and Sobolev Spaces, a new theorem that points the way to the construction of an anisotropic viscosity model (not yet discussed in the present work). At first, the effort dedicated here aims to present a more comprehensive mathematical analysis, promoting a more leveled understanding of the challenge posed by the regularity of the Navier-Stokes equations.
publishDate 2023
dc.date.none.fl_str_mv 2023-09-12
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/16534
10.18540/jcecvl9iss10pp16534-01e
url https://periodicos.ufv.br/jcec/article/view/16534
identifier_str_mv 10.18540/jcecvl9iss10pp16534-01e
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/16534/8224
dc.rights.driver.fl_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2023 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 9 No. 10 (2023); 16534-01e
The Journal of Engineering and Exact Sciences; Vol. 9 Núm. 10 (2023); 16534-01e
The Journal of Engineering and Exact Sciences; v. 9 n. 10 (2023); 16534-01e
2527-1075
reponame:The Journal of Engineering and Exact Sciences
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str The Journal of Engineering and Exact Sciences
collection The Journal of Engineering and Exact Sciences
repository.name.fl_str_mv The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv
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