Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
Autor(a) principal: | |
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Data de Publicação: | 2023 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Revista de Engenharia Química e Química |
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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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:Revista de Engenharia Química e Químicainstname: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/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2024-03-26T17:18Revista de Engenharia Química e Química - 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:Revista de Engenharia Química e Química instname:Universidade Federal de Viçosa (UFV) instacron:UFV |
instname_str |
Universidade Federal de Viçosa (UFV) |
instacron_str |
UFV |
institution |
UFV |
reponame_str |
Revista de Engenharia Química e Química |
collection |
Revista de Engenharia Química e Química |
repository.name.fl_str_mv |
Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV) |
repository.mail.fl_str_mv |
jcec.journal@ufv.br||req2@ufv.br |
_version_ |
1800211186031001600 |