Abstract
An intermittency model that is formulated in local variables is proposed for representing bypass transition in Reynolds-Averaged Navier-Stokes (RANS) computations. No external data correlation is used to fix transition. Transition is initiated by diffusion, and a source term carries it to completion. A sink term is created to predict the laminar region before transition, then it vanishes in the turbulent region. Both the source and sink are functions of a wall-distance Reynolds number and turbulence scale. A modification is introduced to predict transition in separated boundary layers. The transition model is incorporated with the k−ω RANS model. The present model is implemented into a general purpose, computational fluid dynamics (CFD) code. The model is validated with several test cases. Decent agreement with the available data is observed in a range of flows.
Similar content being viewed by others
References
Dhawan, S., Narasimha, R.: Some properties of boundary layer during the transition from laminar to turbulent flow motion. J. Fluid Mech. 3, 418–436 (1958)
Durbin, P.A., Pettersson-Reif, B.A.: Statistical theory and modeling for turbulent flows. 2nd edn. Wiley (2011)
Durbin, P.A.: An intermittency model for bypass transition. Int. J. Heat Fluid Flow 36, 1–6 (2012)
Durbin, P.A., Wu, X.: Transition beneath vortical disturbances. Annu. Rev. Fluid Mech. 39(1), 107–128 (2007)
Langtry, R.B.: A correlation-based transition model using local variables for unstructured parallelized cfd codes. PhD thesis, Universitat Stuttgart, Holzgartenstr. 16, 70174 Stuttgart (2006)
Langtry, R.B., Menter, F.R.: Correlation-based transition modelling for unstructured parallelized computational fluid dynamics codes. AIAA J. 47(12), 2894–2906 (2009)
Lardeau, S., Leschziner, M.A., Zaki, T.A.: Large eddy simulation of transitional separated flow over a flat plate and a compressor blade. Flow Turbul. Combust. 88(1–2), 19–44 (2012)
Lou, W., Hourmouziadis, J.: Separation bubbles under steady and periodic-unsteady main flow conditions. J. Turbomach. 122, 634–643 (2000)
Menter, R.F., Langtry, R.B., Volker, S.: Transition modelling for general purpose cfd codes.Flow Turbul. Combus. 77(1-4), 277–303 (2006)
Praisner, T.J., Clark, J.P.: Predicting transition in turbomachinery, part 1: a review and new model development. J. Turbomach. 129, 1–13 (2007)
Steelant, J., Dick, E.: Modelling of bypass transition with conditioned navierstokes equations coupled to an intermittency transport equation. Int. J. Numer. Methods Fluids 23(3), 193–220 (1996)
Suluksna, K., Dechaumphai, P., Juntasaro, E.: Correlations for modeling transitional boundary layers under influences of freestream turbulence and pressure gradient. Int. J. Heat Fluid Flow 30(1), 66–75 (2009)
Suzen, Y.B., Huang, P.G.: Modeling of flow transition using an intermittency transport equation. J. Fluids Eng. 122(2), 273–284 (2000)
Wilcox, D.: Turbulence Modeling for CFD.DCW inc. (1993)
Wissink, J.G., Rodi, W.: Direct numerical simulations of transitional flow in turbomachinery. J. Turbomach. 128, 668 (2006)
Zaki, T.A., Wissink, J.G., Rodi, W., Durbin, P.A.: Direct numerical simulations of transition in a compressor cascade: the influence of free-stream turbulence. J. Fluid Mech. 665, 57–98 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ge, X., Arolla, S. & Durbin, P. A Bypass Transition Model Based on the Intermittency Function. Flow Turbulence Combust 93, 37–61 (2014). https://doi.org/10.1007/s10494-014-9533-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10494-014-9533-9