Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport
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...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2023-09-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/16656 |
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| author | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales |
| author_facet | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales |
| author_sort | Rômulo Damasclin Chaves dos Santos |
| collection | DOAJ |
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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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| format | Article |
| id | doaj-art-c4089e9f57904207ba34c5e953662e09 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-c4089e9f57904207ba34c5e953662e092025-02-02T19:54:43ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-09-019810.18540/jcecvl9iss8pp16656-01eTreatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transportRômulo Damasclin Chaves dos Santos0Jorge Henrique de Oliveira Sales1Department of Physics, Technological Institute of Aeronautics, São Paulo, Brazil.State University of Santa Cruz – DCEX, Brazil 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. https://periodicos.ufv.br/jcec/article/view/16656Smagorinsky modelFunctional spacesAnisotropic viscosity |
| spellingShingle | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Treatment for regularity of the Navier-Stokes equations based on Banach and Sobolev functional spaces coupled to anisotropic viscosity for analysis of vorticity transport The Journal of Engineering and Exact Sciences Smagorinsky model Functional spaces Anisotropic viscosity |
| 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 |
| 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_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_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 |
| topic | Smagorinsky model Functional spaces Anisotropic viscosity |
| url | https://periodicos.ufv.br/jcec/article/view/16656 |
| work_keys_str_mv | AT romulodamasclinchavesdossantos treatmentforregularityofthenavierstokesequationsbasedonbanachandsobolevfunctionalspacescoupledtoanisotropicviscosityforanalysisofvorticitytransport AT jorgehenriquedeoliveirasales treatmentforregularityofthenavierstokesequationsbasedonbanachandsobolevfunctionalspacescoupledtoanisotropicviscosityforanalysisofvorticitytransport |