Turbulent Flow Analysis with Banach and Sobolev Spaces in the LES Method Incorporating the Smagorinsky Subgrid-Scale Model

Authors

DOI:

https://doi.org/10.18540/jcecvl9iss10pp16534-01e

Keywords:

Smagorinsky model, Banach and Sobolev spaces, Turbulent flow.

Abstract

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.

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Published

2023-09-12

How to Cite

Santos, R. D. C. dos, & Sales, J. H. O. (2023). 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, 9(10), 16534–01e. https://doi.org/10.18540/jcecvl9iss10pp16534-01e

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Section

General Articles