10.1007/s40095-017-0248-2

Transition turbulence model calibration for wind turbine airfoil characterization through the use of a Micro-Genetic Algorithm

  1. Department of Civil Engineering and Architecture, University of Catania, Catania, 95125, IT
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Published in Issue 2017-10-17

How to Cite

Mauro, S., Lanzafame, R., Messina, M., & Pirrello, D. (2017). Transition turbulence model calibration for wind turbine airfoil characterization through the use of a Micro-Genetic Algorithm. International Journal of Energy and Environmental Engineering, 8(4 (December 2017). https://doi.org/10.1007/s40095-017-0248-2

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Abstract

Abstract The aerodynamic characterization of airfoils is of crucial importance for the design and optimization of wind turbines. The present paper tries to provide an engineering methodology for the improvement of the accuracy and reliability of 2D airfoil computational fluid dynamics models, by coupling the ANSYS Fluent solver and a Micro-Genetic Algorithm. The modeling strategy provided includes meshing optimization, solver settings, comparison between different turbulence models and, mainly, the calibration of the local correlation parameters of the transition turbulence model by Menter, which was found to be the most accurate model for the simulation of transitional flows. Specifically, the Micro-Genetic Algorithm works by generating populations of the missing local correlation parameters. In doing so, it is possible to search for the minimization of the error in lift calculations. For each specific Reynolds number, the calibration was carried out only at the Angle of Attack where the lift drop occurs and the airfoil completely stalls. This new idea allowed for a relatively rapid and good calibration as demonstrated by the experimental–numerical comparisons presented in this paper. Only the experimental stall angle and the relative lift coefficient were, therefore, necessary for obtaining a good calibration. The calibration was made using the widely known S809 profile data. The correlation parameters, obtained as so, were subsequently used for testing on the NACA 0018 airfoil with satisfactory results. Therefore, the calibration obtained using the S809 airfoil data appeared to be reliable and may be used for the simulation of other airfoils. This can be done without the need for further wind tunnel experimental data or recalibrations. The proposed methodology will, therefore, be of essential help in obtaining accurate aerodynamic coefficients data. This will drastically improve the capabilities of the 1D design codes at low Reynolds numbers thanks to the possibility of generating accurate databases of 2D airfoil aerodynamic coefficients. The advantages of the proposed calibration will be helpful in the generation of more accurate 3D wind turbine models as well. The final objective of the paper was thus to obtain a fine and reliable calibration of the transition turbulence model by Menter. This was specifically made for an accurate prediction of the aerodynamic coefficients of any airfoil at low Reynolds numbers and for the improvements of 3D rotor models.

Keywords

  • CFD transition modeling,
  • Airfoil characterization,
  • Wind turbines,
  • Genetic algorithm

References

  1. Bertagnolio, F., Sørensen, N.N., Johansen, J., Fuglsang, P.: Wind turbine airfoil catalogue Technical Report Risø-R-1280(EN), Risø National Laboratory, Roskilde, Denmark
  2. Bertagnolio, F., Sørensen, N.N., Johansen, J.: Profile Catalogue for Airfoil Sections Based on 3D Computations Risø-R-1581(EN) Risø National Laboratory, Roskilde, Denmark
  3. Petrilli, J., Paul, R., Gopalarathnam, A., Frink, N.T.: A CFD Database for Airfoils and Wings at Post-Stall Angles of Attack AIAA 2013-2916 31st Applied Aerodynamics Conference. doi:
  4. 10.2514/6.2013-2916
  5. Langtry, R.B., Gola, J., Menter Predicting 2D Airfoil and 3D Wind Turbine Rotor Performance using a Transition Model for General CFD Codes AIAA 2006-0395 44th Aerospace Sciences Meeting and Exhibit
  6. http://dx.doi.org/10.2514/6.2006-395
  7. Schlichting and Gersten (2000) Springer https://doi.org/10.1007/978-3-642-85829-1
  8. Stratford, B.S.: Flow in the laminar boundary layer near separation aeronautical research council reports and memoranda, R.&M. No. 3002 (17,320), A.R.C. Technical Report London (1957)
  9. Owen, P.R., Klanfer, L.: On the laminar boundary layer separation from leading edge of a thin aerofoil aeronautical research council current reports C.P. No. 220 (16,576) A.R.C. Technical Report London (1955)
  10. Terril, R.M.: Laminar Boundary-Layer Flow Near Separation with and Without Suction Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, vol. 253, No. 1022 (Sep. 8, 1960), pp. 55–100.
  11. http://www.jstor.org/stable/73195
  12. Shubauer, G.B.: Air flow in a separating laminar boundary layer NACA Report No. 527 Washington D.C.; 1935
  13. Hansen et al. (2006) State of the art in wind turbine aerodynamics and aeroelasticity (pp. 285-330) https://doi.org/10.1016/j.paerosci.2006.10.002
  14. Lanzafame et al. (2013) Wind turbine CFD modeling using a correlation based transitional model (pp. 31-39) https://doi.org/10.1016/j.renene.2012.10.007
  15. Lanzafame et al. (2014) 2D CFD modeling of H-Darrieus wind turbines using a transition turbulence model (pp. 131-140) https://doi.org/10.1016/j.egypro.2014.01.015
  16. Lanzafame et al. (2016) Numerical and experimental analysis of micro HAWTs designed for wind tunnel applications 7(2) (pp. 199-210) https://doi.org/10.1007/s40095-016-0202-8
  17. Menter et al. (2006) Transition modelling for general purpose CFD codes (pp. 277-303) https://doi.org/10.1007/s10494-006-9047-1
  18. Langtry, R.B., Menter, F.R., Likki, S.R., Suzen, Y.B., Huang, P.G., Volker, S. A correlation-based transition model using local variables—part I: model formulation In: Vienna, ASME Paper No. ASME-GT2004-53452; 2006
  19. Langtry et al. (2006) A correlation-based transition model using local variables—part II: test cases and industrial applications ASME 128(3) (pp. 423-434) https://doi.org/10.1115/1.2184353
  20. Eleni et al. (2012) Evaluation of the turbulence models for the simulation of the flow over a National Advisory Committee for Aeronautics (NACA) 0012 Airfoil 4(3) (pp. 100-111) https://doi.org/10.5897/JMER11.074
  21. Raciti Castelli et al. (2011) numerical investigation of laminar to turbulent boundary layer transition on a Naca 0012 airfoil for vertical-axis wind turbine application 35(6) (pp. 661-686) https://doi.org/10.1260/0309-524X.35.6.661
  22. Johansen J., Prediction of Laminar/Turbulent Transition in Airfoil Flows Risø National Laboratory, Roskilde, Denmark, May 1997, Risø-R-987(EN)
  23. Lian and Shai (2007) Laminar-turbulent transition of a low reynolds number rigid or flexible Airfoil 45(7) (pp. 1501-1513) https://doi.org/10.2514/1.25812
  24. Benini E., Ponza R.: Laminar to turbulent boundary layer transition investigation on a supercritical airfoil using the γ–θ Transitional Model 40th Fluid Dynamics Conference and Exhibit, 28 June–1 July 2010, Chicago, Illinois, AIAA 2010–4289
  25. Hosseinverdi S., Boroomand M.: Prediction of Laminar-Turbulent Transitional Flow over Single and Two-Element Airfoils, 40th Fluid Dynamics Conference and Exhibit, 28 June–July 2010, Chicago, Illinois, AIAA 2010–4290
  26. Genç et al. (2011) Performance of transition model for predicting low Re aerofoil flows without/with single and simultaneous blowing and suction (pp. 218-235) https://doi.org/10.1016/j.euromechflu.2010.11.001
  27. Suluksna and Juntasaro (2008) Assessment of intermittency transport equations for modeling transition in boundary layers subjected to freestream turbulence (pp. 48-61) https://doi.org/10.1016/j.ijheatfluidflow.2007.08.003
  28. Sorensen (2009) CFD Modelling of laminar-turbulent transition for airfoils and rotors using the γ–Reθ model (pp. 715-733) https://doi.org/10.1002/we.325
  29. Malan, P., Suluksna, K., Juntasaro, E.: Calibrating the γ-Re
  30. θ
  31. Transition Model for Commercial CFD 47th AIAA 2009-1142 Aerospace Sciences Meeting, Jan 2009
  32. Yuntao et al. (2015) Calibration of a γ-Reθ transition model and its validation in low-speed flows with high order numerical method 28(3) (pp. 704-711) https://doi.org/10.1016/j.cja.2015.03.002
  33. Content and Houdeville (2010) Application of the γ-Reθ laminar-turbulent transition model in Navier-Stokes computations AIAA 2010-4445 40th Fluid https://doi.org/10.2514/6.2010-4445
  34. Sorensen et al. (2011) 3D CFD computation of transitional flows using DES and a correlation based transition model (pp. 77-90) https://doi.org/10.1002/we.404
  35. Langtry, R.B., Gola, J., Menter, F.R.: Predicting 2D Airfoil and 3D Wind Turbine Rotor Performance Using A Transition Model for General CFD Codes AIAA 2006-0395 44th AIAA Aerospace Sciences Meeting and Exhibit.
  36. http://dx.doi.org/10.2514/6.2006-395
  37. Seyfert and Krumbein (2012) Evaluation of a correlation-based transition model and comparison with the eN Method 49(6) (pp. 1765-1773) https://doi.org/10.2514/1.C031448
  38. Bianchini et al. (2015) An experimental and numerical assessment of air polars for use in Darrieus wind turbines—Part I: flow curvature effects 138(3) https://doi.org/10.1115/1.4031269
  39. Bianchini et al. (2015) An experimental and numerical assessment of air polars for use in Darrieus Wind Turbines—Part II: post stall data extrapolation methods 138(3) https://doi.org/10.1115/1.4031270
  40. Khayatzadeh and Nadarajah (2014) Laminar-turbulent flow simulation for wind turbine profiles using the γ–Reθt transition model (pp. 901-918) https://doi.org/10.1002/we.1606
  41. Sorensen, N.N.: Airfoil computations using the γ-Re
  42. θ
  43. model. Risø National Laboratory, Denmark; July 2009 Risø-R-1693(EN)
  44. Langtry, R.B., Menter, F.R.: Transition Modeling for General CFD Applications in aeronautics AIAA 2005-522 43rd AIAA Aerospace Sciences Meeting and Exhibit.
  45. http://dx.doi.org/10.2514/6.2005-522
  46. Dick and Kubacki (2017) Transition models for turbomachinery boundary layer flows: a review https://doi.org/10.3390/ijtpp2020004
  47. Aupoix, B., Arnal, D., bézard, H., Chaouat, B., Chevdevrgne, F., Deck. S., Gleize, V., Grenard, P., Laroche E.: Transition and turbulence modeling, p. 1–13. HAL archives-ouvertes, AerospaceLab (2011).
  48. https://hal.archives-ouvertes.fr/hal-01181225
  49. Mitchell (1998) The MIT Press
  50. Goldberg (1989) Addison-Wesley
  51. Krishnakumar K.: Micro Genetic Algorithms for Stationary and nonstationary function optimization Proceedings of SPIE 1196, Intelligent Control and Adaptive Systems, 289 (February 1, 1990) doi:
  52. 10.1117/12.969927
  53. Carroll (1996) Genetic algorithms and optimizing chemical oxygen-iodine lasers (pp. 411-424)
  54. Senecal (2000) Engine Research Center—University of Wisconsin
  55. Goldberg and Kalyanmoy (1991) A Comparative Analysis of Selection Schemes Used in Genetic (pp. 69-93)
  56. Chipperfield A., Fleming P.: MATLAB Genetic Algorithm Toolbox IEE Colloquium (Digest) ISSN 09633308 Issue 14; 1995, pp. 10/1–10/4
  57. Jonkman, J.M.: Modeling of the UAE Wind Turbine for Refinement of FAST_AD December 2003, NREL/TP-500-34755
  58. Timmer (2008) Two-dimensional low-reynolds number wind tunnel results for airfoil NACA0018 32(6) (pp. 525-537) https://doi.org/10.1260/030952408787548848
  59. Shedahl, R. E., Klimas, P. C.: Aerodynamic characteristics of seven symmetrical airfoil sections through 180-degree angle of attack for use in aerodynamic analysis of vertical axis wind turbines 1981. Technical Report No. SAND80-2114, Sandia National Laboratories, Albuquerque, New Mexico
  60. Jacobs, E., Sherman, N.A.: Airfoil section characteristics as affected by variations of the Reynolds number. 1937. NACA Report 586