Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport

Detalhes bibliográficos
Autor(a) principal: Santos, Rômulo Damasclin Chaves dos
Data de Publicação: 2023
Outros Autores: Sales, Jorge Henrique de 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/16656
Resumo: The mathematical analysis employed in this study constitutes an essential foundation for a broader investigation into the regularity of the Navier-Stokes Equations. Within this context, this work represents a significant advance with the Smagorinsky model integrated into the LES methodology. Using the Banach and Sobolev functional spaces, we developed a new theorem that points out a path towards the creation of an anisotropic viscosity model, formulated in the present work. Initially, our effort focuses on providing a comprehensive mathematical analysis, with the aim of promoting a deeper understanding of the challenge inherent in the regularity of the Navier-Stokes equations.
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spelling Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transportUno Tratamiento de regularidad de las ecuaciones de Navier-Stokes basado en espacios funcionales de Banach y Sobolev acoplados a viscosidad anisotrópica para análisis de transporte de vorticidad.Un Traitement de régularité des équations de Navier-Stokes basé sur les espaces fonctionnels de Banach et Sobolev couplés à la viscosité anisotrope pour l'analyse du transport de tourbillonTratamento da regularidade das equações de Navier-Stokes baseado nos espaços funcionais de Banach e Sobolev acoplados à viscosidade anisotrópica para análise do transporte de vorticidadeSmagorinsky modelFunctional spacesAnisotropic viscosityModelo SmagorinskyEspaços funcionaisViscosidade anisotrópicaModelo de SmagorinskyEspacios funcionalesFlujo turbulentoViscosidad anisotrópicaModèle Smagorinsky.Espaces fonctionnelsÉcoulement turbulentViscosité anisotropeThe mathematical analysis employed in this study constitutes an essential foundation for a broader investigation into the regularity of the Navier-Stokes Equations. Within this context, this work represents a significant advance with the Smagorinsky model integrated into the LES methodology. Using the Banach and Sobolev functional spaces, we developed a new theorem that points out a path towards the creation of an anisotropic viscosity model, formulated in the present work. Initially, our effort focuses on providing a comprehensive mathematical analysis, with the aim of promoting a deeper understanding of the challenge inherent in the regularity of the Navier-Stokes equations.El análisis matemático empleado en este estudio constituye una base esencial para una investigación más amplia sobre la regularidad de las ecuaciones de Navier-Stokes. En este contexto, este trabajo representa un avance significativo con el modelo de Smagorinsky integrado en la metodología LES. Utilizando los espacios funcionales de Banach y Sobolev, desarrollamos un nuevo teorema que señala un camino hacia la creación de un modelo de viscosidad anisotrópica, formulado en el presente trabajo. Inicialmente, nuestro esfuerzo se centra en proporcionar un análisis matemático integral, con el objetivo de promover una comprensión más profunda del desafío inherente a la regularidad de las ecuaciones de Navier-Stokes.L'analyse mathématique utilisée dans cette étude constitue une base essentielle pour une enquête plus large sur la régularité des équations de Navier-Stokes. Dans ce contexte, ce travail représente une avancée significative avec le modèle Smagorinsky intégré à la méthodologie LES. En utilisant les espaces fonctionnels de Banach et Sobolev, nous avons développé un nouveau théorème qui ouvre la voie à la création d'un modèle de viscosité anisotrope, formulé dans le présent travail. Dans un premier temps, nos efforts se concentrent sur la fourniture d'une analyse mathématique complète, dans le but de promouvoir une compréhension plus approfondie du défi inhérent à la régularité des équations de Navier-Stokes.A análise matemática empregada neste estudo constitui um fundamento essencial para uma investigação mais ampla sobre a regularidade das Equações de Navier-Stokes. Dentro desse contexto, este trabalho representa um avanço significativo junto ao modelo de Smagorinsky integrado à metodologia LES. Utilizando os espaços funcionais de Banach e Sobolev, desenvolvemos um novo teorema que aponta uma trajetória para a criação de um modelo de viscosidade anisotrópica, formulado no presente trabalho. Inicialmente, nosso esforço se concentra em fornecer uma análise matemática abrangente, com o objetivo de promover uma compreensão mais profunda do desafio inerente à regularidade das equações de Navier-Stokes.Universidade Federal de Viçosa - UFV2023-09-22info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1665610.18540/jcecvl9iss8pp16656-01eThe Journal of Engineering and Exact Sciences; Vol. 9 No. 8 (2023); 16656-01eThe Journal of Engineering and Exact Sciences; Vol. 9 Núm. 8 (2023); 16656-01eThe Journal of Engineering and Exact Sciences; v. 9 n. 8 (2023); 16656-01e2527-1075reponame:The Journal of Engineering and Exact Sciencesinstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/16656/8253Copyright (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 de Oliveira2023-11-09T11:24:16Zoai:ojs.periodicos.ufv.br:article/16656Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/oai2527-10752527-1075opendoar:2023-11-09T11:24:16The Journal of Engineering and Exact Sciences - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
Uno Tratamiento de regularidad de las ecuaciones de Navier-Stokes basado en espacios funcionales de Banach y Sobolev acoplados a viscosidad anisotrópica para análisis de transporte de vorticidad.
Un Traitement de régularité des équations de Navier-Stokes basé sur les espaces fonctionnels de Banach et Sobolev couplés à la viscosité anisotrope pour l'analyse du transport de tourbillon
Tratamento da regularidade das equações de Navier-Stokes baseado nos espaços funcionais de Banach e Sobolev acoplados à viscosidade anisotrópica para análise do transporte de vorticidade
title Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
spellingShingle Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
Santos, Rômulo Damasclin Chaves dos
Smagorinsky model
Functional spaces
Anisotropic viscosity
Modelo Smagorinsky
Espaços funcionais
Viscosidade anisotrópica
Modelo de Smagorinsky
Espacios funcionales
Flujo turbulento
Viscosidad anisotrópica
Modèle Smagorinsky.
Espaces fonctionnels
Écoulement turbulent
Viscosité anisotrope
title_short Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
title_full Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
title_fullStr Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
title_full_unstemmed Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
title_sort Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
author Santos, Rômulo Damasclin Chaves dos
author_facet Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
author_role author
author2 Sales, Jorge Henrique de Oliveira
author2_role author
dc.contributor.author.fl_str_mv Santos, Rômulo Damasclin Chaves dos
Sales, Jorge Henrique de Oliveira
dc.subject.por.fl_str_mv Smagorinsky model
Functional spaces
Anisotropic viscosity
Modelo Smagorinsky
Espaços funcionais
Viscosidade anisotrópica
Modelo de Smagorinsky
Espacios funcionales
Flujo turbulento
Viscosidad anisotrópica
Modèle Smagorinsky.
Espaces fonctionnels
Écoulement turbulent
Viscosité anisotrope
topic Smagorinsky model
Functional spaces
Anisotropic viscosity
Modelo Smagorinsky
Espaços funcionais
Viscosidade anisotrópica
Modelo de Smagorinsky
Espacios funcionales
Flujo turbulento
Viscosidad anisotrópica
Modèle Smagorinsky.
Espaces fonctionnels
Écoulement turbulent
Viscosité anisotrope
description The mathematical analysis employed in this study constitutes an essential foundation for a broader investigation into the regularity of the Navier-Stokes Equations. Within this context, this work represents a significant advance with the Smagorinsky model integrated into the LES methodology. Using the Banach and Sobolev functional spaces, we developed a new theorem that points out a path towards the creation of an anisotropic viscosity model, formulated in the present work. Initially, our effort focuses on providing a comprehensive mathematical analysis, with the aim of promoting a deeper understanding of the challenge inherent in the regularity of the Navier-Stokes equations.
publishDate 2023
dc.date.none.fl_str_mv 2023-09-22
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/16656
10.18540/jcecvl9iss8pp16656-01e
url https://periodicos.ufv.br/jcec/article/view/16656
identifier_str_mv 10.18540/jcecvl9iss8pp16656-01e
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/16656/8253
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. 8 (2023); 16656-01e
The Journal of Engineering and Exact Sciences; Vol. 9 Núm. 8 (2023); 16656-01e
The Journal of Engineering and Exact Sciences; v. 9 n. 8 (2023); 16656-01e
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
_version_ 1808845241393872896

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