Anisotropic <i>k</i>-<i>ϵ</i> Model Based on General Principles of Statistical Turbulence

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.

Keywords

• turbulent flow
• new <i>k</i>-<i>ϵ</i> model