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

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.

[1]  Florian R. Menter,et al.  Transition Modelling for General Purpose CFD Codes , 2006 .

[2]  Spyros G. Voutsinas,et al.  STATE OF THE ART IN WIND TURBINE AERODYNAMICS AND AEROELASTICITY , 2006 .

[3]  Douvi C. Eleni,et al.  Evaluation of the turbulence models for the simulation of the flow over a National Advisory Committee for Aeronautics (NACA) 0012 airfoil , 2012 .

[4]  Andreas Bechmann,et al.  3D CFD computations of transitional flows using DES and a correlation based transition model , 2011 .

[5]  Yulun Zhang,et al.  Calibration of a γ-Reθ transition model and its validation in low-speed flows with high-order numerical method , 2015 .

[6]  J. M. Jonkman,et al.  Modeling of the UAE Wind Turbine for Refinement of FAST{_}AD , 2003 .

[7]  F. Menter,et al.  A Correlation-Based Transition Model Using Local Variables—Part II: Test Cases and Industrial Applications , 2006 .

[8]  R. M. Terrill Laminar boundary-layer flow near separation with and without suction , 1960, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[9]  H. Schlichting Boundary Layer Theory , 1955 .

[10]  W. A. Timmer Two-Dimensional Low-Reynolds Number Wind Tunnel Results for Airfoil NACA 0018 , 2008 .

[11]  D. Carroll GENETIC ALGORITHMS AND OPTIMIZING CHEMICAL OXYGEN-IODINE LASERS , 1996 .

[12]  Ernesto Benini,et al.  Laminar to Turbulent Boundary Layer Transition Investigation on a Supercritical Airfoil Using the γ−θ Transitional Model , 2010 .

[13]  Keerati Suluksna,et al.  Calibrating the Gamma-Re_theta Transition Model for Commercial CFD , 2009 .

[14]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[15]  F. Menter,et al.  Transition Modeling for General CFD Applications in Aeronautics , 2005 .

[16]  Masoud Boroomand,et al.  Prediction of Laminar-Turbulent Transitional Flow over Single and Two-Element Airfoils , 2010 .

[17]  Keerati Suluksna,et al.  Assessment of intermittency transport equations for modeling transition in boundary layers subjected to freestream turbulence , 2008 .

[18]  Andreas Krumbein,et al.  Evaluation of a Correlation-Based Transition Model and Comparison with the eN Method , 2012 .

[19]  Kalmanje Krishnakumar,et al.  Micro-Genetic Algorithms For Stationary And Non-Stationary Function Optimization , 1990, Other Conferences.

[20]  S. Deck,et al.  Transition and Turbulence Modeling , 2011 .

[21]  Eastman N. Jacobs,et al.  Airfoil section characteristics as affected by variations of the Reynolds number , 1939 .

[22]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[23]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[24]  Jeppe Johansen,et al.  Wind turbine airfoil catalogue , 2001 .

[25]  M. S. Genç,et al.  Performance of transition model for predicting low Re aerofoil flows without/with single and simultaneous blowing and suction , 2011 .

[26]  Wei Shyy,et al.  Laminar-Turbulent Transition of a Low Reynolds Number Rigid or Flexible Airfoil , 2006 .

[27]  Siva Nadarajah,et al.  Laminar‐turbulent flow simulation for wind turbine profiles using the γ–Re˜θt transition model , 2014 .

[28]  R. Houdeville Application of the γ-Rθ laminar-turbulent transition model in Navier-Stokes computations , 2010 .

[29]  Stefano Mauro,et al.  2D CFD Modeling of H-Darrieus Wind Turbines Using a Transition Turbulence Model , 2014 .

[30]  Ashok Gopalarathnam,et al.  A CFD Database for Airfoils and Wings at Post-Stall Angles of Attack , 2013 .

[31]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[32]  F. Menter,et al.  Predicting 2D Airfoil and 3D Wind Turbine Rotor Performance using a Transition Model for General CFD Codes , 2006 .

[33]  Niels N. Sørensen CFD modelling of laminar‐turbulent transition for airfoils and rotors using the γ − model , 2009 .

[34]  Stefano Mauro,et al.  Wind turbine CFD modeling using a correlation-based transitional model , 2013 .

[35]  E. Dick,et al.  Transition Models for Turbomachinery Boundary Layer Flows: A Review , 2017 .

[36]  Michele Messina,et al.  Numerical and experimental analysis of micro HAWTs designed for wind tunnel applications , 2016 .

[37]  Peter J. Fleming,et al.  The MATLAB genetic algorithm toolbox , 1995 .

[38]  Giovanni Ferrara,et al.  An Experimental and Numerical Assessment of Airfoil Polars for Use in Darrieus Wind Turbines—Part II: Post-stall Data Extrapolation Methods , 2015 .

[39]  Giovanni Ferrara,et al.  An Experimental and Numerical Assessment of Airfoil Polars for Use in Darrieus Wind Turbines—Part I: Flow Curvature Effects , 2015 .

[40]  Ernesto Benini,et al.  Numerical Investigation of Laminar to Turbulent Boundary Layer Transition on a Naca 0012 Airfoil for Vertical-Axis Wind Turbine Applications , 2011 .