A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes
This study delves into the numerical approximation of non-stationary Navier-Stokes equations within turbulent regimes, employing the Smagorinsky Model (SM). By treating the model as inherently discrete, we implement a semi-implicit time discretization using the Euler method. This approach includes...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2024-01-01
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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/17579 |
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| author | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva |
| author_facet | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva |
| author_sort | Rômulo Damasclin Chaves dos Santos |
| collection | DOAJ |
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This study delves into the numerical approximation of non-stationary Navier-Stokes equations within turbulent regimes, employing the Smagorinsky Model (SM). By treating the model as inherently discrete, we implement a semi-implicit time discretization using the Euler method. This approach includes comprehensive stability analyses, applicable to a spectrum of flow regimes, and an exploration of the asymptotic energy balance dynamics during fluid movements. The primary contribution of this study is found in its methodical approach to the numerical approximation of non-stationary Navier-Stokes equations within turbulent regimes using the Smagorinsky Model (SM). The adoption of a semi-implicit time discretization with the Euler method, coupled with a meticulous analysis of energy balance, establishes a robust foundation adaptable to diverse flow conditions.
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| format | Article |
| id | doaj-art-b21d6b9a797d488db80d260407441e6a |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-b21d6b9a797d488db80d260407441e6a2025-02-02T19:54:09ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752024-01-0110110.18540/jcecvl10iss01pp17579A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimesRômulo Damasclin Chaves dos Santos0Jorge Henrique de Oliveira Sales1Alice Rosa da Silva2Departament of Physics, Technological Institute of Aeronautics, São Paulo, BrazilState University of Santa Cruz – Department of Exact Sciences, Ilhéus, Bahia, BrazilFederal University of Uberlândia – UFU, Center for Exact Sciences and Technology, Faculty of Civil Engineering, Uberlândia, Minas Gerais, Brazil This study delves into the numerical approximation of non-stationary Navier-Stokes equations within turbulent regimes, employing the Smagorinsky Model (SM). By treating the model as inherently discrete, we implement a semi-implicit time discretization using the Euler method. This approach includes comprehensive stability analyses, applicable to a spectrum of flow regimes, and an exploration of the asymptotic energy balance dynamics during fluid movements. The primary contribution of this study is found in its methodical approach to the numerical approximation of non-stationary Navier-Stokes equations within turbulent regimes using the Smagorinsky Model (SM). The adoption of a semi-implicit time discretization with the Euler method, coupled with a meticulous analysis of energy balance, establishes a robust foundation adaptable to diverse flow conditions. https://periodicos.ufv.br/jcec/article/view/17579Smagorinsky model.Weak Solution.Navier–Stokes equations.Asymptotic Balance. |
| spellingShingle | Rômulo Damasclin Chaves dos Santos Jorge Henrique de Oliveira Sales Alice Rosa da Silva A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes The Journal of Engineering and Exact Sciences Smagorinsky model. Weak Solution. Navier–Stokes equations. Asymptotic Balance. |
| title | A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes |
| title_full | A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes |
| title_fullStr | A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes |
| title_full_unstemmed | A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes |
| title_short | A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes |
| title_sort | mathematical analysis to the approximate weak solution of the smagorinsky model for different flow regimes |
| topic | Smagorinsky model. Weak Solution. Navier–Stokes equations. Asymptotic Balance. |
| url | https://periodicos.ufv.br/jcec/article/view/17579 |
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