SSt k-omega in gamma-Retetha transition model

mb.pejvak · May 31, 2012, 20:31

I have a question about kinetic energy production term in SST k-omega turbulence model that uses in gamma-Retetha transition model. in the Langtry's Thesis production term of K introduces:
P'k=Mt*S^2 S: absolute strain rate; Pk=min(P'k,10Dk)
but in menter's (1994) paper that SST k-omega and in main paper of the transition model refer to this paper (Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications) this term was introduces as:
p'k=mt*tij*dui/dxj tij: shear stress ; Pk=min(P'k,10Dk)
now my question exactly is which one of these two P'k is correct?

thanks in advance

Far · May 31, 2012, 23:42

it looks that both are same!!!!

mb.pejvak · June 1, 2012, 05:56

Dear Far
I suspect both of them are same. if you descritize Tij*dui/dxj you can see it

Tij dui/dxj= (du/dy+dv/dx)^2+2*((du/dx)^2+(dv/dy)^2)
S^2= ((du/dy+dv/dx)^2+(du/dx)^2+(dv/dy)^2)

Am I correct?

Far · June 1, 2012, 06:05

Let me check it again from my old notes

May 31, 2012, 20:31	SSt k-omega in gamma-Retetha transition model	#1
mb.pejvak Senior Member Mehdi Babamehdi Join Date: Jan 2011 Posts: 158 Rep Power: 15	I have a question about kinetic energy production term in SST k-omega turbulence model that uses in gamma-Retetha transition model. in the Langtry's Thesis production term of K introduces: P'k=MtS^2 S: absolute strain rate; Pk=min(P'k,10Dk) but in menter's (1994) paper that SST k-omega and in main paper of the transition model refer to this paper (Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications) this term was introduces as: p'k=mttij*dui/dxj tij: shear stress ; Pk=min(P'k,10Dk) now my question exactly is which one of these two P'k is correct? thanks in advance

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May 31, 2012, 23:42		#2
Far Senior Member Sijal Join Date: Mar 2009 Location: Islamabad Posts: 4,558 Blog Entries: 6 Rep Power: 54	it looks that both are same!!!!

June 1, 2012, 05:56		#3
mb.pejvak Senior Member Mehdi Babamehdi Join Date: Jan 2011 Posts: 158 Rep Power: 15	Dear Far I suspect both of them are same. if you descritize Tijdui/dxj you can see it Tij dui/dxj= (du/dy+dv/dx)^2+2((du/dx)^2+(dv/dy)^2) S^2= ((du/dy+dv/dx)^2+(du/dx)^2+(dv/dy)^2) Am I correct?

June 1, 2012, 06:05		#4
Far Senior Member Sijal Join Date: Mar 2009 Location: Islamabad Posts: 4,558 Blog Entries: 6 Rep Power: 54	Let me check it again from my old notes