Anisotropic k-ϵ Model Based on General Principles of Statistical Turbulence

Author:

Brouwers J. J. H.1ORCID

Affiliation:

1. Romico Hold.VBA, 6226 GV Maastricht, The Netherlands

Abstract

An upgrade is presented of a recently published model for the calculation of statistical averages of turbulent flow variables. Instead of empirical constructions, important parts of the model are based on general principles of statistical turbulence and physics. The upgrade concerns transparent and simplified descriptions of turbulent diffusion and Reynolds stresses which express their dependency of mean flow gradients in a direct manner. As before, prediction comparisons are satisfactory in relation to the results of DNS of channel flow. Implementation in a CFD code is straightforward and its application provides a significant improvement to the results of the widely used empirical basic k-ϵ model.

Publisher

MDPI AG

Reference24 articles.

1. Hanjalić, K., and Launder, B. (2011). Modelling Turbulence in Engineering and the Environment: Second-Moment Routes to Closure, Cambridge University Press.

2. Bernard, P.S., and Wallace, J.K. (2002). Turbulent Flow: Analysis, Measurement and Prediction, Wiley.

3. (2009, January 23). Ansys Fluent 12.0, Theory Guide, Section 4 Turbulence, 4.4.1 Standard k-ϵ Model. Available online: https://www.afs.enea.it/.

4. (2024, August 16). Comsol Multiphysics, The k-ϵ Turbulence Model. Available online: https://doc.comsol.com.

5. Brouwers, J.J.H. (2024). The Basic k-ϵ Model and a New Model Based on General Statistical Descriptions of Anisotropic Inhomogeneous Turbulence Compared with DNS of Channel Flow at High Reynolds Number. Inventions, 9.

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