Details

Autor(en) / Beteiligte

• Santos, Rômulo Damasclin Chaves dos
• Sales, Jorge Henrique de Oliveira
• Silva, Alice Rosa da

Titel

A mathematical analysis to the approximate weak solution of the Smagorinsky Model for different flow regimes

Ist Teil von

• Journal of Engineering and Exact Sciences, 2024-01, Vol.10 (1), p.17579

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.