Abstract
Currently available methods of computing the laminar–turbulent transition (LTT), including methods used in gas-dynamic software packages, are analyzed from the viewpoint of LTT simulation accuracy.
Similar content being viewed by others
References
Numerical Simulation of Unsteady Flows and Transition to Turbulence, Ed. by O. Pironneau, W. Rodi, I. L. Ryhming, et al. (Cambridge Univ. Press, Cambridge, 1992).
M. B. Davis, H. Reed, H. Youngren, et al., “Transition Prediction Method Review Summary for the Rapid Assessment Tool for Transition Prediction,” Technical Report No. 2005–3130 (AFRL-VA-WP, Fort Worth, 2005).
A. V. Boiko, A. V. Dovgal, G. R. Grek, and V. V. Kozlov, Physics of Transitional Shear Flows (Springer-Verlag, Berlin–Heidelberg, 2011).
M. R. Malik, “Boundary-Layer Transition Prediction Toolkit,” AIAA Paper No. 97-1904 (Hampton, 1997).
S. Hein, “Nonlinear Nonlocal Transition Analysis—Code Development and Results,” in Recent Results in Laminar–Turbulent Transition: Selected Numerical and Experimental Contributions from the DFG Priority Programme “Transition” in Germany, Ed. by S. Wagner, M. Kloker, and U. Rist (Springer-Verlag, Berlin–Heidelberg, 2004), pp. 123–134.
B. Y. Zanin, “Transition at Natural Conditions and Comparison with the Results of Wind Tunnel Studies,” in Proc. of the Symp. Laminar–Turbulent Transition, Novosibirsk, 9–13, July 1984, Ed. by V. V. Kozlov (Springer-Verlag, Berlin–Heidelberg, 1985), pp. 541–546.
A. A. Hall and G. S. Hislop, Experiments on the Transition of the Laminar Boundary Layer on a Flat Plate: Reports and Memoranda 1843 (Aeronaut. Res. Committee, London, 1938).
G. B. Schubauer and H. K. Skramstad “Laminar-Boundary-Layer Oscillations and Transition on a Flat Plate,” NACA Report No. 909 (Washington, 1948).
R. E. Mayle, “The Role of Laminar–Turbulent Transition in Gas Turbine Engines,” J. Turbomachinery 113 (4), 509–536 (1991).
R. E. Mayle and A. Schulz, “The Path to Predicting Bypass Transition,” J. Turbomachinery 119 (3), 405–411 (1997).
R. E. Walraevens and N. A. Cumpsty, “Leading Edge Separation Bubbles on Turbomachine Blades,” J. Turbomachinery 117 (1), 115–125 (1995).
L. Tain and N. A. Cumpsty, “Compressor Blade Leading Edges in Subsonic Compressible Flow,” J. Mech. Eng. Sci. 214 (1), 221–242 (2000).
P. A. Durbin, R. G. Jacobs, and X. Wu, “DNS of Bypass Transition,” in Closure Strategies for Turbulent and Transitional Flows, Ed. by B. E. Launder and N. D. Sandham (Cambridge Univ. Press, Cambridge, 2002), pp. 449–463.
Y. Dong and N. A. Cumpsty, “Compressor Blade Boundary Layers. Pt 1. Test Facility and Measurements with no Incident Wakes,” J. Turbomachinery 112 (2), 222–230 (1990).
R. J. Howell, O. N. Ramesh, H. P. Hodson, et al., “High Lift and Aft-Loaded Profiles for Low-Pressure Turbines,” J. Turbomachinery 123 (2), 181–188 (2001).
R. H. Radeztsky, M. S. Reibert, and W. S. Saric, “Effect of Isolated Micron-Sized Roughness on Transition in Swept-Wing Flows,” AIAA J. 37 (11), 1370–1377 (1999).
S. Dhawan and R. Narasimha, “Some Properties of Boundary Layer Flow During the Transition from Laminar to Turbulent Motion,” J. Fluid Mech. 3 (4), 418–436 (1958).
J. Steelant and E. Dick, “Modelling of Bypass Transition with Conditioned Navier–Stokes Equations Coupled to an Intermittency Transport Equation,” Int. J. Numer. Methods Fluids 23 (3), 193–220 (1996).
R. Narasimha, “A Note on Certain Turbulent Spot and Burst Frequencies,” Report No. 78 FM 10 (Indian Inst. Sci., Bangalore, 1978).
K. K. Chen and N. A. Thyson, “Extension of Emmons’ Spot Theory to Flows on Blunt Bodies,” AIAA J. 9 (5), 821–825 (1971).
G. J. Walker, “Transitional Flow on Axial Turbomachine Blading,” AIAA J. 27 (5), 595–602 (1989).
P. G. Huang and T. J. Coakley, “An Implicit Navier–Stokes Code for Turbulent Flow Modeling” AIAA Paper No. 92-0547 (Hampton, 1992).
F. R. Menter, “Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications,” AIAA J. 32 (8), 1598–1605 (1994).
P. G. Huang and G. Xiong, “Transition and Turbulence Modeling of Low Pressure Turbine Flows,” AIAA Paper No. 98-0339 (Hampton, 1998).
C. Grabe and A. Krumbein, “Extension of the Ret Model for Prediction of Crossflow Transition,” AIAA Paper No. 2014-1269 (Hampton, 2014).
J. R. Cho and M. K. Chung, “A k–e Equation Turbulence Model,” J. Fluid Mech. 237, 301–322 (1992).
A. M. Savill, “Further Progress in the Turbulence Modeling of By-Pass Transition,” in Proc. of the 2nd Int. Symp. on Engineering Turbulence Modeling and Measurements, Florence (Italy), 31 May to 2 June, 1993, Ed. by W. Rodi and F. Martelli (Elsevier, Amsterdam, 1993), pp. 583–592.
J. Steelant and E. Dick, “Modeling of Laminar–Turbulent Transition for High Freestream Turbulence,” J. Fluids Eng. 123 (1), 22–30 (2001).
J. Vicedo, S. Vilmin, W. N. Dawes, and A. M. Savill, “Intermittency Transport Modeling of Separated Flow Transition,” J. Turbomachinery 126 (3), 424–431 (2004).
R. B. Langtry and F. R. Menter, “Transition Modeling for General CFD Applications in Aeronautics,” AIAA Paper No. 2005-522 (Hampton, 2005).
F. R. Menter, R. B. Langtry, and S. Völker, “Transition Modelling for General Purpose CFD Codes,” Flow, Turbulence Combustion 77 (1–4), 277–303 (2006).
D. Arnal, “Laminar–Turbulent Transition Problems in Supersonic and Hypersonic Flows,” in Special Course on Aerothermodynamics of Hypersonic Vehicles (AGARD, Neuilly-sur-Seine, 1989), pp. 8.1–8.45.
H. W. Liepman, “Investigation of Boundary Layer Transition on Concave Walls,” NACA Report No. NW-87 (Washington, 1945).
L. M. Mack, “A Numerical Method for the Prediction of High-Speed Boundary-Layer Transition Using Linear Theory,” in Aerodynamic Analyses Requiring Advanced Computers, Proc. of the Conf., Virginia, March 4–6, 1975 (NASA, Washington, 1975), Part 1, pp. 101–123.
M. R. Malik and S. A. Orszag, “Comparison of Methods for Prediction of Transition by Stability Analysis,” AIAA J. 18 (12), 1485–1489 (1980).
O. M. Bushnell, M. R. Malik, and W. O. Harvey, “Transition Prediction in External Flows Via Linear Stability Theory,” in Transsonicum III, Proc. of the IUTAM Symp., Göttingen, May 24–27, 1988, Ed. by J. Zierep and H. Oertel (Jr.) (Springer-Verlag, Berlin–Heidelberg, 1989), pp. 225–242.
D. Arnal and J. P. Archambaud, “Laminar–Turbulent Transition Control: NLF, LFC, HLFC,” in Proc. of the RTO-EN-AVT-151—Advances in Laminar–Turbulent Transition Modelling, Genèse, Belgium, June 9–12, 2008 (Neuilly-sur-Seine Cedex, 2008), pp. 15.1–15.22.
B. J. Abu-Ghannam and R. Shaw, “Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient, and Flow History,” J. Mech. Eng. Sci. 22 (5), 213–228 (1980).
N. A. Jaffe, T. T. Okamura, and A. M. O. Smith, “Determination of Spatial Amplification Factors and Their Application to Predicting Transition,” AIAA J. 8 (2), 301–308 (1970).
R. Michel, D. Arnal, and E. Coustols, “Stability Calculations and Transition Criteria on Two- and Three- Dimensional Flows,” in Laminar–Turbulent Transition, Proc. of the IUTAM Symp., Novosibirsk, July 9–13, 1984, Ed. by V. V. Kozlov (Springer-Verlag, Berlin–Heidelberg, 1985), pp. 455–461.
H. B. Squire, “On the Stability for Three-Dimensional Disturbances of Viscous Fluid Flow between Parallel Walls,” Proc. Roy. Soc. London, Ser. A. Math., Phys. Eng. Sci. 142 (847), 621–628 (1933).
M. Drela and M. B. Giles, “Viscous-Inviscid Analysis of Transonic and Low Reynolds Number Airfoils,” AIAA J. 25 (10), 1347–1355 (1987).
M. Drela, “Implicit Implementation of the Full en Transition Criterion,” AIAA Paper No. 2003-4066 (Hampton, 2003).
D. F. Fisher and N. S. Dougherty, “In-Flight Transition Measurement on a 10 Cone at Mach Numbers from 0.5 to 2.0,” NASA Paper No. 1971 (Washington, 1982).
P. Sturdza, “An Aerodynamic Design Method for Supersonic Natural Laminar Flow Aircraft,” Ph. D. Thesis (Stanford Univ., 2003).
I. J. Lyttle, H. L. Reed, A. N. Shiplyuk, et al., “Numerical-Experimental Comparisons of Second-Mode Behavior for Blunted Cones,” AIAA J. 43 (8), 1734–1743 (2005).
L. M. Mack, “Boundary-Layer Linear Stability Theory,” AGARD Report No. 709 (Neuilly-sur-Seine, 1984), pp. 3.1–3.81.
C. S. Wells (Jr.), “Effects of Free Stream Turbulence on Boundary-Layer Transition,” AIAA J. 5 (1), 172–174 (1967).
J. G. Spangler and C. S. Wells, “Effects of Freestream Disturbances on Boundary-Layer Transition,” AIAA J. 6 (3), 543–545 (1968).
D. J. Hall and J. C. Gibbings, “Influence of Stream Turbulence and Pressure Gradient upon Boundary Layer Transition,” J. Mech. Eng. Sci. 4, 134–146 (1972).
J. L. Van Ingen, “Transition, Pressure Gradient, Suction, Separation and Stability Theory,” in AGARD-CP-224 Laminar–Turbulent Transition, Ed. by J. L. Van Ingen (AGARD, Neuilly-sur-Seine, 1977), pp. 20.1–20.15.
A. V. Boiko, Yu. M. Nechepurenko, R. N. Zhuchkov, and A. S. Kozelko, “Laminar–Turbulent Transition Prediction Module for LOGOS Package,” Teplofiz. Aeromekh. 21 (2), 201–220 (2014) [Thermophys. Aeromech. 21 (2), 191–210 (2014)].
A. V. Boiko, Y. M. Nechepurenko, I. V. Abalakin, and V. G. Bobkov, “Numerical Prediction of Laminar–Turbulent Transition on an Airfoil,” Russ. J. Numer. Anal. Math. Modelling. 29 (4), 205–218 (2014).
H. W. Stock and W. Haase, “Navier–Stokes Airfoil Computations with eN Transition Prediction Including Transitional Flow Regions,” AIAA J. 38 (11), 2059–2066 (2000).
K. J. A. Westin and R. Henkes, “Application of Turbulence Models to Bypass Transition,” J. Fluids Eng. 119 (4), 859–866 (1997).
Y. B. Suzen, P. G. Huang, L. S. Hultgren, and D. E. Ashpis, “Predictions of Separated and Transitional Boundary Layers under Low-Pressure Turbine Airfoil Conditions Using an Intermittency Transport Equation,” J. Turbomachinery 125 (3), 455 (2003).
F. R. Menter, T. Esch, and S. Kubacki, “Transition Modelling Based on Local Variables,” in Proc. of the 5th Int. Symp. on Engineering Turbulence Modelling and Measurements, Mallorca, Spain, September 16–18, 2002, Ed. by W. Rodi and N. Fueyo (Elsevier, Amsterdam, 2002), pp. 555–564.
E. R. Van Driest and C. B. Blumer, “Boundary Layer Transition: Free-Stream Turbulence and Pressure Gradient Effects,” AIAA J. 1 (6), 1303–1306 (1963).
D. K. Walters and J. H. Leylek, “A New Model for Boundary Layer Transition Using a Single-Point RANS Approach,” J. Turbomachinery 126 (1), 193–202 (2004).
R. J. Vino, “A New Model for Free-Stream Turbulence Effects on Boundary Layers,” J. Turbomachinery 120 (3), 613–620 (1998).
D. K. Walters and D. Cokljat, “A Three-Equation Eddy-Viscosity Model for Reynolds-Averaged Navier–Stokes Simulations of Transitional Flow,” J. Fluids Eng. 130 (12), 121401-1–121401-14 (2008).
R. B. Langtry, “A Correlation-Based Transition Model using Local Variables for Unstructured Parallelized CFD Codes,” Ph. D. Diss. (Stuttgart, 2006).
R. B. Langtry and F. R. Menter, “Correlation-Based Transition Modeling for Unstructured Parallelized Computational Fluid Dynamics Codes,” AIAA J. 47 (12), 2894–2906 (2009).
P. R. Spalart and S. R. Allmaras, “A One-Equation Turbulence Model for Aerodynamic Flows,” AIAA Paper No. 92-0439 (Hampton, 1992).
S. Medida, “Correlation-Based Transition Modeling for External Aerodynamic Flows,” Ph. D. Thesis (Univ. of Maryland, Maryland, 2014).
V. M. Molochnikov, N. I. Mikheev, and O. A. Dushina, “Simulation of Subsonic Flows with Separation Using the FLUENT Program Package: Software Applicability Study,” Teplofiz. Aeromekh. 16 (3), 387–394 (2009) [Thermophys. Aeromech. 16 (3), 367–374 (2009)].
R. L. Davis, J. E. Carter, and E. Reshotko, “Analysis of Transitional Separation Bubbles on Infinite Swept Wings,” AIAA J. 25 (3), 421–428 (1987).
W. T. Simon and S. Qiu, K. Yuan, “Measurements in a Transitional Boundary Layer under Low-Pressure Turbine Airfoil Conditions,” CR 2000-209957 (NASA, Washington, 2000).
H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1979).
K. Suluksna and E. Juntasaro, “Assessment of Intermittency Transport Equations for Modeling Transition in Boundary Layers Subjected to Freestream Turbulence,” Int. J. Heat Fluid Flow. 29 (1), 48–61 (2008).
P. Malan, K. Suluksna, and E. Juntasaro, “Calibrating the Re Transition Model for Commercial CFD,” AIAA Paper No. 2009-1142 (Hampton, 2009).
K. Suluksna, P. Dechaumphai, and E. Juntasaro, “Correlations for Modeling Transitional Boundary Layers under Influences of Freestream Turbulence and Pressure Gradient,” Int. J. Heat Fluid Flow 30 (1), 66–75 (2009).
E. Smirnov and A. Smirnovsky, “Turbine Vane Cascade Heat Transfer Predictions using a Modified Version of the Laminar–Turbulent Transition Model,” in Proc. of the Int. Symp. on Heat Transfer in Gas Turbine Systems, Antalya (Turkey), August 9–14, 2009 (Begell House, New York, 2009), Paper No. 12-EFHT.
W. Piotrowski, W. Elsner, and S. Drobniak, “Transition Prediction on Turbine Blade Profile with Intermittency Transport Equation,” J. Turbomachinery 132 (1), 011020-1–011020-1 (2010).
C. Seyfert and A. Krumbein, “Comparison of a Local Correlation-Based Transition Model with an eN-Method for Transition Prediction,” in New Results in Numerical and Experimental Fluid Mechanics VIII: Contribut. to the 17th STAB/DGLR Symp., Berlin, Germany, November 9–10, 2010, Ed. by A. Dillmann, G. Heller, H.-P. Kreplin, et al. (Springer-Verlag, Berlin–Heidelberg, 2013), pp. 541–548.
C. Seyfert and A. Krumbein, “Evaluation of a Correlation-Based Transition Model and Comparison with the eN Method,” J. Aircraft 49 (6), 1765–1773 (2012).
C. Content and R. Houdeville, “Application of the Re Laminar–Turbulent TransitionModel in Navier–Stokes Computations,” AIAA Paper No. 2010-4445 (Hampton, 2010).
A. Benyahia, L. Castillon, and R. Houdeville, “Prediction of Separation-Induced Transition on High Lift Low Pressure Turbine Blade,” in Proc. ASME 2011 Turbo Expo: Turbine Tech. Conf. and Exposit., Vancouver (Canada), June 6–10, 2011 (Amer. Soc. Mech. Eng., 2011), Vol. 5. pp. 1835–1846.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Boiko, S.V. Kirilovskiy, A.A. Maslov, T.V. Poplavskaya.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 56, No. 5, pp. 30–49, September–October, 2015.
Rights and permissions
About this article
Cite this article
Boiko, A.V., Kirilovskiy, S.V., Maslov, A.A. et al. Engineering modeling of the laminar–turbulent transition: Achievements and problems (Review). J Appl Mech Tech Phy 56, 761–776 (2015). https://doi.org/10.1134/S002189441505003X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S002189441505003X