Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model
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, result...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidade Federal de Viçosa (UFV)
2023-09-01
|
| Series: | The Journal of Engineering and Exact Sciences |
| Subjects: | |
| Online Access: | https://periodicos.ufv.br/jcec/article/view/16534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832569724973613056 |
|---|---|
| author | Rômulo Damasclin Chaves dos Santos Jorge Henrique Oliveira Sales |
| author_facet | Rômulo Damasclin Chaves dos Santos Jorge Henrique Oliveira Sales |
| author_sort | Rômulo Damasclin Chaves dos Santos |
| collection | DOAJ |
| 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.
|
| format | Article |
| id | doaj-art-4f777ff6136d4a0e9af53478fe149fdb |
| 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-4f777ff6136d4a0e9af53478fe149fdb2025-02-02T19:54:45ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752023-09-0191010.18540/jcecvl9iss10pp16534-01eTurbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale ModelRômulo Damasclin Chaves dos Santos0Jorge Henrique Oliveira Sales1Department of Physics, Technological Institute of Aeronautics, São Paulo, BrazilState University of Santa Cruz – DCEX. Brazil 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. https://periodicos.ufv.br/jcec/article/view/16534Smagorinsky modelBanach and Sobolev spacesTurbulent flow. |
| spellingShingle | Rômulo Damasclin Chaves dos Santos Jorge Henrique Oliveira Sales Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model The Journal of Engineering and Exact Sciences Smagorinsky model Banach and Sobolev spaces Turbulent flow. |
| title | 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_short | 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 |
| topic | Smagorinsky model Banach and Sobolev spaces Turbulent flow. |
| url | https://periodicos.ufv.br/jcec/article/view/16534 |
| work_keys_str_mv | AT romulodamasclinchavesdossantos turbulentflowanalysiswithbanachandsobolevspacesinthelesmethodincorporatingthesmagorinskysubgridscalemodel AT jorgehenriqueoliveirasales turbulentflowanalysiswithbanachandsobolevspacesinthelesmethodincorporatingthesmagorinskysubgridscalemodel |