Confusion with magSqr in turbulence model kOmegaSST - OpenFOAM 2.2.x
 

For the incompressible RAS I would like to implement the k-omega SST turbulence model by Menter with the vorticity source term. You can find the theory on it here: http://turbmodels.larc.nasa.gov/sst.html
So I had a look at the standard kOmegaSST turbulence model which is implemented into OpenFOAM. The only thing I have to change is the production of turbulent kinetic energy. In the kOmegaSST.C on lines 412-413 the production G is defined as:

Eqn. 1

But I can't really make the conversion to the standard formula that I know, which will look like this for incompressible RAS:

G=nut*dUi/dxj*(dUi/dxj+dUj/dxi)
Eqn. 2

So my question is why is there a magSqr in Eqn. 1? This looks different from the definition that I know.

Shouldn't it be more like this:
Eqn. 3


Thanks in advance.

Kind regards,
Andreas

Hi,

take a look at the attached pdf. In Sect. 39.4.7 I do the math to look whether the formular for the production term for the turbulent kinetic energy of the kEpsilon model in OpenFOAM is equal to the formula stated in the book of Ferzinger.

The equations you posted look the same as they are in the question I answered.

Hi Gerhard and thank you very much for your answer,

yes the equations of Ferziger, Perić is the same that I stated, as well as the implementation in OpenFOAM. This is the proof I was looking for!

Hi Gerhard,

i would be interested on the whole "someMath" document :) Is there a chance i can get it?

regards Michael

The whole document can be found here http://www.cfd-online.com/Forums/ope...-openfoam.html