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 t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Brasil |
| Institución: | Universidade Federal de Viçosa (UFV) |
| Repositorio: | The Journal of Engineering and Exact Sciences |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs.periodicos.ufv.br:article/16656 |
| Acceso en línea: | https://periodicos.ufv.br/jcec/article/view/16656 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 |
| Sumario: | 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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