Could I check if Simulation CFD 2013 fulfils the following requirement?
" Capable of solving Navier-Stokes fluid flow equations for a three dimensional incompressible flow at steady state on a body conforming computational grid. Turbulence modelling shall also be included with the minimum requirement of using the standard k-epsilon turbulence model, coupled with standard wall function."
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Based on this question as well as some of the others you've posted, it may be useful for you to briefly step through out Wiki documentation (Theoretical Background) as this will outline what we solve and how.
In-short, yes we are based on Navier-Stokes equations and use (by default) the k-e turbulence model.