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The realizability condition acts as a turbulence modeling guideline by attempting to ensure physically meningful predictions of the Reynolds stress tensor. However, these measures to ensure realizability focus solely on the realizability of the Reynolds stresses and do not address the underlying cause of unrealizable predictions, that lies in the unphysical behavior of the unclosed statistical moments in the Reynolds Stress Transport equation. In this investigation, we apply a set of Comprehensive Realizability conditions on the models for the Mijkl tensor, based on popular models, such as those by Launder, Reece and Rodi [4]; Speziale, Sarkar and Gatski [8] and Johansson and Hallback[3]. The regions on the Anisotropy Invariant Map where comprehensive realizability is fulfilled are mapped out for these models, analytically. Thence, we discuss the reasons for the unrealizable regions of all the models. To conclude, the schism between predictive fidelity and realizability is addressed.
Author(s):
Sharath Girimaji
Aerospace Engineering Department, Texas A&M University, College Station, Texas-77840
United States
Aashwin Mishra
Aerospace Engineering Department, Texas A&M University, College Station, Texas-77840
United States