[lucasbflopes]

Recently I've been studying the theory behind eddy viscosity models for my undergraduate thesis and I couldn't find an agreement in turbulence literature about which k-epsilon model is the true standard.

The diffusive term of both k and epsilon equations in the standard High-Re k-epsilon model is defined without the molecular viscosity in [1], [2], [3]. On the other hand, in [4] and in the code implemented in both OpenFOAM and CFX they include it. Apart from the molecular viscosity, everything else is the same.

My questions are: what is the difference between the two types? Why does one include it and what implications does it make? Which one is regarded as the true standard k-epsilon model?

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[1] JONES, W. P.; LAUNDER, B. E. The prediction of laminarization with a two-equation model of turbulence. International Journal of Heat and Mass Transfer, p. 301–314, 1972.
[2] POPE, S. B. Turbulent Flows. 1. ed. [S.l.]: Cambridge University Press, 2000.
[3] VERSTEEG, H. K.; MALALASEKERA, W. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. 2. ed. [S.l.]: Pearson, 2007.
[4] WILCOX, D. C. Turbulence Modeling for CFD. 1. ed. [S.l.]: DCW Industries, Inc., 1993.