Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence

Author

Max Gunzburger
Eunjung Lee
Yuki Saka
Catalin Trenchea
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

Fluid turbulence is commonly modeled by the Navier-Stokes equations with a large Reynolds number. However, direct numerical simulations are not possible in practice, so that turbulence modeling is introduced. We study artificial spectral viscosity models that render the simulation of turbulence tractable. We show that the models are well posed and have solutions that converge, in certain parameter limits, to solutions of the Navier-Stokes equations. We also show, using the mathematical analyses, how effective choices for the parameters appearing in the models can be made. Finally, we consider temporal discretizations of the models and investigate their stability. © 2009 Springer Science+Business Media, LLC.

Recommended Citation

M. Gunzburger et al., "Analysis of Nonlinear Spectral Eddy-Viscosity Models of Turbulence," Journal of Scientific Computing, vol. 45, no. 1 thru 3, pp. 294 - 332, Springer, Oct 2010.

The definitive version is available at https://doi.org/10.1007/s10915-009-9335-8

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-0606671

Keywords and Phrases

Eddy-Viscosity Models; Navier-Stokes Equations; Spectral Methods; Turbulence

International Standard Serial Number (ISSN)

0885-7474

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Springer, All rights reserved.

Publication Date

01 Oct 2010