Abstract
Surrogate-based optimization and efficient global optimization in particular, is considered for aerodynamic design and analysis to deal with some of the drawbacks of classical direct optimization methods. Design of Experiment methods, optimization algorithms, various surrogate modeling methodologies, adaptive sample refinement strategies, multiple criteria for terminating the refinement procedure and several other techniques, are developed and integrated into a practical optimization framework. To search the design space globally and efficiently, several adaptive sample refinement strategies are studied and compared. Two test cases, minimizing the drag of a NLF0416 airfoil with ten design variables and optimizing the performance of a laminar profile with 26 design variables at two design points, are performed. The results indicate that the developed optimization methodology in combination with the adaptive sample refinement strategies features a good balance between global exploration and local exploitation. Additionally, the effect of different design points on the objective function can be automatically considered in the refinement procedure.
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References
Li, C.-H., Brezillon, J., Görtz, S.: A Framework for Surrogate-Based Aerodynamic Optimization, Proceedings ODAS 2011. Toulouse, France (2011)
Jeong, S., Obayashi, S.: Efficient global optimization (EGO) for multi-objective problem and data mining. Proc. Congr. Evol. Comput. 2005(3), 2138–2145 (2005)
Brezillon, J., Abu-Zurayk, M.: Aerodynamic Inverse Design Framework using Discrete Adjoint Method, 17th DGLR-Fach-Symposium der STAB. Berlin, Deutschland (2010)
Han, Z.-H.: Response Surface Model (RSM) Toolbox Version 1.3.4: User’s Guide, German Aerospace Center (DLR), Institute of Aerodynamics and Flow Technology, (2010)
Brodersen, O., Hepperle, M., Ronzheimer, A., Rossow, C.-C., Schöning, B.: The parametric grid generation system megacads, numerical grid generation in computational field simulations. In: Proceedings of the 5th International Conference, Soni, pp. 353–362. Mississippi State University (1996)
Gerhold, T., Friedrich, O., Evans, J., Galle, M.: Calculation of complex three-dimensional configurations employing the DLR-TAU-code, AIAA paper (1997) pp. 97–167
McKay, M.D., Beckman, R.J., Conover, W.J.: A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21(2), 239–245 (1979)
Bates, S.J., Sienz, J., Langley, D.S.: Formulation of the Audzu-Eglais uniform Latin Hypercube design of experiments. Adv. Eng. Softw. 34, 493–506 (2003)
Viana, F.A.C., Venter, G., Balabanov, V.: An algorithm for fast optimal Latin hypercube design of experiments. Int. J. Numer. Meth. Eng. 82, 135–156 (2010)
Sacks, J., Welch, W.J., Mitchell, T.J., Wynn, H.P.: Design and analysis of computer experiments. Stat. Sci. 4(4), 409–423 (1989)
Köster, H., Horstmann, K.H., Rohardt, C.H.: Aachen RWTH. DGLR-Bricht 90–06, 111–115 (1990)
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Li, C., Brezillon, J., Görtz, S. (2014). Efficient Global Optimization of a Natural Laminar Airfoil Based on Surrogate Modeling. In: Dillmann, A., Heller, G., Krämer, E., Kreplin, HP., Nitsche, W., Rist, U. (eds) New Results in Numerical and Experimental Fluid Mechanics IX. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-03158-3_6
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DOI: https://doi.org/10.1007/978-3-319-03158-3_6
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