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Energy equation - where is the turbulent kinetic energy?

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Old   June 24, 2016, 12:04
Default Energy equation - where is the turbulent kinetic energy?
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Greetings everyone,

In the derivation of the Favre-averaged energy equation, the total energy comprises of the internal energy, mean kinetic energy and turbulent kinetic energy:

\overline{\rho} \widetilde{e_{tot}} = \bar{\rho}\tilde{e} + \frac{1}{2}\bar{\rho}\tilde{u_i}\tilde{u_i} + \overline{\frac{1}{2}\rho u_i^{''}u_i^{''}} (See Chapter 5.3 of Turbulence Modelling for CFD by Wilcox for derivation)

But the compressible flow solvers do not include the turbulent kinetic energy term (k) in the energy equation. Similarly, a few terms on the RHS of the energy equation are also missing.

Does any know why this is the case?

Thanks for all the help!
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