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November 12, 2020, 08:28 
Cubic kw SST model

#1 
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Francesco Vitillo
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Hi everybody,
I have read that a cubic formulation of the kw SST model exists in Star CCM+. However, I couldn't find any reference to a specific paper reporting the details of such a model in the document I was reading. Is there anyone who could post the reference of a published paper giving such details (i.e. the paper referenced in the code Theory Guide) ? Thanks in advance. fvi 

November 13, 2020, 08:21 

#2 
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Matt
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Where did you read that?
Is it possible you are confusing the lowRe kepsilon model, sometimes called the Lien cubic low Re model? Lien, F.S., Chen, W.L., and Leschziner, M.A. 1996. “LowReynolds number eddyviscosity modelling based on nonlinear stressstrain/vorticity relations”, Proc. 3rd Symp. on Engineering Turbulence Modelling and Measurements, 2729 May, Crete, Greece. 

November 13, 2020, 10:59 

#3 
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Francesco Vitillo
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Thank you for your reply.
In the following paper (and it's not the only one from the same authors), a cubic SST kw model is mentioned : https://doi.org/10.1016/j.nucengdes.2019.110376 Indeed, Lien et al.'s paper is referenced when talking about this cubic model. This is unclear for me, since the model described in Lien's paper is an epsilonbased model. Therefore, I wonder why Lien's model should be named cubic kw SST. Menter et al. proposed a cubic model (see Menter et al., "Explicit Algebraic Reynolds Stress Models for Anisotropic WallBounded Flows", 3rd European Conference for AeroSpace Sciences, July 69th 2009 Versailles), but I have no idea whether this model is available in STAR CCM+. I hope somebody can help me in clarifying this topic. 

November 13, 2020, 11:02 

#4  
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Matt
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Based on the context of how it appears in this paper, I believe they are referring to the curvature correction option for kw SST.
Quote:


November 13, 2020, 11:20 

#5  
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Matt
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I found this discussion that you might find useful.
SST KOmega Cubic constitutional relation And then, this in the help files. Simulating Physics > Turbulence > ReynoldsAveraged NavierStokes (RANS) Turbulence Models > KOmega Turbulence > KOmega Models Reference Quote:


November 13, 2020, 16:18 

#6  
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Francesco Vitillo
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Quote:
Thank a lot for posting the code's help: however it is astonishing that no reference to a scientific paper is given. As far as I understand, it is only said that a cubic formulation exists and that it is applicable to SST model. How seems to be a mystery 

November 13, 2020, 17:15 

#7 
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Matt
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Go to the Steve Portal and submit a help ticket (assuming you have access). Explain this to them and they should eventually get you in touch with someone who can answer your question.
I have done this before regarding a similar gap in information in the help material and they came back with a white paper. They were very helpful. I am not saying that you'll get the same result... but you might. I would be interested to see result if you ever figure this out. You made me curious. 

November 14, 2020, 08:44 

#8 
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Francesco Vitillo
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Unfortunately I have no access to Steve Portal. I tried to contact some Customer Service guy on LinkedIn, let's see if it works. If I have news, I'll let you know.
Thanks for your answers! 

November 14, 2020, 09:11 
Cubic kw SST model

#9 
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Matt
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I can see about submitting a ticket on this for you. I likely won’t have an answer until mid next week.


November 16, 2020, 08:19 

#10 
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Matt
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I found the formulation for cubic kw in the help material.
See Theory > Turbulence > ReynoldsAveraged NaiverStokes (RANS) Turbulence Models > Eddy Viscosity MOdels > KOmega Model > Constitutive Relations The cubic model references the following papers: Spalart, P.R. and Rumsey, C.L. 2007. “Effective Inflow Conditions for Turbulence Models in Aerodynamic Calculations”, AIAA Journal, 45(10), pp. 25442553. Durbin, P.A. 1996. “On the ke stagnation point anomaly”, Int. J. Heat and Fluid Flow 17, pp. 8990. 

November 16, 2020, 09:46 

#11 
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Francesco Vitillo
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Dear Matt,
I want to thank you once more because you are really trying to help me. Concerning the two references you cited, I don't think they're what we are looking for. Indeed, Spalart's paper deals with boundary conditions used in CFD, whereas Durbin's paper proposes a limiter in the turbulent time scale which is partially taken into account in the SST model formulation. No mention to the cubic formulation of the SST model in both of them. To me, we should be able to find something like the following paper: Vitillo et al., "An anisotropic shear stress transport (ASST) model formulation", Computers & Mathematics with Applications, Volume 70, Issue 9, November 2015, Pages 22382251 As I told you, I could get in touch with a customer service guy I used to work with. I am waiting for an answer from him. 

November 16, 2020, 09:59 

#12  
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Matt
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Quote:
Good luck. 

November 19, 2020, 16:54 

#13 
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Francesco Vitillo
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Dear Matt,
Finally I could have a (partially) satisfying answer from the Support Center. The references we were looking for are:  Hellsten, A. 2005. "New Advanced komega Turbulence Model for HighLift Aerodynamics", AIAA Journal, Vol.43, No. 9, pp. 18571869.  Wallin, S. and Johansson, A. V. 2000. "An Explicit Algebraic Reynolds Stress Model for Incompressible and Compressible Turbulent Flows," J. Fluid Mechanics, Vol. 403, pp. 89132. Here is the path from the user guide: Theory > Turbulence > ReynoldsAveraged NavierStokes (RANS) Turbulence Models > Eddy Viscosity Models > KOmega Model > Constitutive Relations I personally think the talking about a cubic SST model is somehow misleading, since the two papers never talk about a baseline SST model for their cubic formulation. However, some features of these two models can partially explain the reason why STAR CCM+ guys wanted to link these models to the more famous SST model. Thanks again for your help. fvi 

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