Abstract
The present work is devoted to a description and substantiation of an original module for computing the location of laminar-turbulent transition in subsonic boundary layer flows, which is based on the eN-method and enables more accurate computations of the flow around bodies in the presence of the so-called natural transition to turbulence in the boundary layer. A combined work of the module and the RANS solver from the aerodynamic part of the LOGOS package is demonstrated by the example of the flow past a flat plate. The obtained computed locations of the beginning and the end of the laminar-turbulent transition coincide with known reference values.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Numerical simulation of unsteady flows and transition to turbulence, O. Pironneau, W. Rodi, I.L. Ryhming, A.M. Savill, and T.V. Troung (Eds.), Cambridge University Press, Cambridge, 1992.
A.V. Boiko, A.V. Dovgal, G.R. Grek, and V.V. Kozlov, Physics of Transitional Shear Flows, Springer-Verlag, Berlin, 2011.
A.S. Kozelkov, Yu.N. Deryugin, D.K. Zelensky, V.A. Glazunov, A.A. Golubev, O.V. Denisova, S.V. Lashkin, R.N. Zhuchkov, N.V. Tarasova, and M.A. Sizova, Multi-functional program package LOGOS for computation of problems of fluid dynamics and heat and mass transfer on multi-processor computers: base technologies and algorithms, in: Proc. XII Int. Seminar “Super-computations and Mathematical Modelling”, 11–15 October, 2010, Sarov, 2010, P. 215–230.
B.Y. Zanin, Transition at natural conditions and comparison with the results of wind tunnel studies, in: V.V. Kozlov (Ed.), IUTAM Symp. Laminar-Turbulent Transition, Springer-Verlag, Berlin, 1985, P. 541–546.
A. Krumbein, Transition modeling in FLOWer — transition prescription and prediction, in: E.H. Hirschel, K. Fujii, W. Haase et al. (Eds.), MEGAFLOW — Numerical Flow Simulation for Aircraft Design, Springer-Verlag, Berlin, 2005, P. 45–62.
S. Dhawan and R. Narasimha, Some properties of boundary layer flow during transition from laminar to turbulent motion, J. Fluid Mech., 1958, Vol. 3, P. 418–436.
R. Narasimha, A note on certain turbulent spot and burst frequencies, IISc Report 78 FM 10, Department of Aeronautical Engng., Indian Institute of Sci., Bangalore, 1978.
K.K. Chen and N.A. Thyson, Extension of Emmons’ spot theory to flows on blunt bodies, AIAA J., 1971, Vol. 9, No. 5, P. 821–825.
G.J. Walker, Transitional flow on axial turbomachine blading, AIAA J., 1989, Vol. 27, No. 5, P. 595–602.
F.R. Menter, R.B. Langtry, and S. Völker, Transition modelling for general-purpose CFD codes, Flow Turbulence Combust., 2006, Vol. 77, P. 277–303.
E.M. Smirnov and A.A. Smirnovsky, Turbine vane cascade heat transfer predictions using a modified version of the {ie210-1} laminar-turbulent transition model, in: CD-ROM Proc. Int. Symp. on Heat Transfer in Gas Turbine Systems, Antalya, Turkey, 2009.
P. Malan, K. Suluksna, and E. Juntasaro, Calibrating the γ-Reθ transition model for commercial CFD, AIAA Paper, 2009, No. 2009-1142.
Cebeci T., Cousteix J. Modelling and computation of boundary layer flows, Berlin: Springer-Verlag, 1999.
P.R. Spalart and S.R. Allmaras, A one-equation turbulence model for aerodynamic flows, AIAA Paper, 1992, No. 92-0439.
N.A. Jaffe, T.T. Okamura, and A.M.O. Smith, Determination of spatial amplification factors and their application to predicting transition, AIAA J., 1970, Vol. 8, No. 2, P. 301–307.
R. Michel, D. Arnal, and E. Coustols, Stability calculations and transition criteria on two- and three-dimensional flows, in: V.V. Kozlov (Ed.), IUTAM Symp. Laminar-Turbulent Transition, Springer-Verlag, Berlin, 1985, P. 455–461.
H.B. Squire, On the stability for three-dimensional disturbances of viscous fluid between parallel walls, Proc. R. Soc. Lond. A, 1933, Vol. 142, P. 621–628.
J.L. van Ingen, Transition, pressure gradient, suction, separation and stability theory, AGARD-CP-224, 1977.
L.M. Mack, Boundary layer stability theory: Special course on stability and transition of laminar flow, AGARD Report 709, 1984.
V.N. Zhigulev and A.M. Tumin, Origin of Turbulence. Dynamic Theory of the Excitation and Development of Instabilities in Boundary Layers, Nauka, Novosibirsk, 1987.
M. Gaster, A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability, J. Fluid Mech., 1962, Vol. 14, P. 222–224.
A.V. Boiko and Yu.M. Nechepurenko, Numerical spectral analysis of temporal stability of laminar duct flows with constant cross sections, Comput. Math. Math. Phys., 2008, Vol. 48, No. 10, P. 1699–1714.
A.V. Boiko and Yu.M. Nechepurenko, Technique for the numerical analysis of the riblet effect on temporal stability of plane flows, Comput. Math. Math. Phys., 2010, Vol. 50, No. 6, P. 1055–1070.
J.A.C. Weideman and S.C. Reddy, A MATLAB differentiation matrix suite, ACM Trans. Math. Software, 2000, Vol. 26, No. 4, P. 465–519.
H. Schlichting, Boundary Layer Theory, 6th Edn., McGraw Hill, New York, 1968.
D.A. Anderson, J.C. Tannehill, and R.H. Pletcher, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing Corp., New York, 1984.
G.B. Schubauer and H.K. Skramstad, Laminar-boundary-layer oscillations and transition on a flat plate, NACA TR 909, 1948.
Author information
Authors and Affiliations
Corresponding author
Additional information
The work was financially supported by the Federal State Unitary Enterprise “RFYaTs-VNIIEF” (Contract No. 13058-12) and by the Russian Foundation for Basic Research (Projects Nos. 13-01-00270 and 13-01-00350).
Rights and permissions
About this article
Cite this article
Boiko, A.V., Nechepurenko, Y.M., Zhuchkov, R.N. et al. Laminar-turbulent transition prediction module for LOGOS package. Thermophys. Aeromech. 21, 191–210 (2014). https://doi.org/10.1134/S0869864314020061
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864314020061