Knowledge Extraction from Aerodynamic Design Data and its Application to 3D Turbine Blade Geometries

1. Alexa, M.: Recent advances in mesh morphing. Comput. Graph. Forum 21(2), 173–197 (2002)

   Article  Google Scholar 

2. Arima, T., Sonoda, T., Shirotori, M., Tamura, A., Kikuchi, K.: A numerical investigation of transonic axial compressor rotor flow using a Low-Reynolds-Number k − ε turbulence model. ASME J. Turbomach. 121(1), 44–58 (1999)

   Article  Google Scholar 

3. Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and Regression Trees. Wadsworth, Belmont (1984)

   MATH  Google Scholar 

4. Chiba, K., Jeong, S., Obayashi, S., Morino, H.: Data mining for multidisciplinary design space of regional-jet wing. IEEE Congr. Evol. Comput. 3, 2333–2340 (2005)

   Article  Google Scholar 

5. Cohen, J.: Statistical Power Analysis for the Behavioral Sciences, 2nd edn. Lawrence Erlbaum, Hillsdale (1988)

   MATH  Google Scholar 

6. Cover, T.M., Thomas, J.A.: Elements of Information Theory. Wiley Series in Telecommunication. Wiley, New York (1991)

   MATH  Google Scholar 

7. Garland, M., Heckbert, P.S.: Surface simplification using quadratic error metrics. In: Proceedings of the 24th Annual Conference on Computer Graphics and Interactive Techniques, pp. 209–216. ACM, New York (1997)

   Chapter  Google Scholar 

8. Hansen, N., Ostermeier, A.: Completely derandomized self-adaptation in evolutionary strategies. Evol. Comput. 9(2), 159–195 (2001)

   Article  Google Scholar 

9. Hasenjäger, M., Sendhoff, B., Sonoda, T., Arima, T.: Three dimensional aerodynamic optimization for an ultra-low aspect ratio transonic turbine stator blade. In: Proceedings of the ASME Turbo Expo, ASME Paper No. GT2005-68680. ASME, New York (2005)

10. Hasenjäger, M., Sendhoff, B., Sonoda, T., Arima, T.: Three dimensional evolutionary aerodynamic design optimisation using single and multi-objective approaches. In: Evolutionary and Deterministic Methods for Design, Optimization and Control with Applications to Industrial and Societal Problems. EUROGEN, Munich (2005)

11. Hastie, T., Tibshirani, R., Walther, G.: Estimating the number of clusters in a dataset via the gap statistic. Tech. Rep., Dept. of Statistics, Stanford University (2000)

12. Hill, T., Lewicki, P.: STATISTICS Methods and Applications. StatSoft, Tulsa (2007)

    Google Scholar 

13. Hsu, W.M., Hughes, J.F., Kaufman, H.: Direct manipulation of free-form deformations, international conference on computer graphics and interactive techniques. In: Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques, pp. 177–184, July 1992

14. Ito, Y., Nakahashi, K.: Surface triangulation for polygonal models based on CAD data. Int. J. Numer. Methods Fluids, 39(1), 75–96 (2002)

    Article  MATH  Google Scholar 

15. Jain, V., Zhang, H.: Robust 3D shape correspondence in the spectral domain. In: IEEE Intern. Conf. on Shape Modeling and Applications, SMI’06, pp. 118–129, Matsushima, 14–16 June 2006

16. Jin, Y.: a comprehensive survey of fitness approximation in evolutionary computation. Soft Comput. 9(1), 3–12 (2005)

    Article  Google Scholar 

17. Jin, Y.: Knowledge Incorporation in Evolutionary Computation. Springer, Berlin (2005)

    MATH  Google Scholar 

18. Keane, A.J., Nair, P.B.: Computational Approach for Aerospace Design. Wiley, New York (2005)

    Google Scholar 

19. Kohonen, T.: Self-Organizing Maps. Springer, Berlin (1995)

    Google Scholar 

20. Kuno, N., Sonoda, T.: Flow characteristics in a transonic Ultra-Low-Aspect-Ratio axial turbine Van. J. Propuls. Power 20(4), 596–603 (2004)

    Article  Google Scholar 

21. Larranaga, P., Lozano, J.A.: Estimation of Distribution Algorithms. Kluwer, Dordrecht (2002)

    MATH  Google Scholar 

22. Laskov, P., Kambhamettu, C.: Comparison of 3D algorithms for non-rigid motion and correspondence estimation. In: Proceedings of the British Machine Vision Conference, BMVC 2001, Manchester, UK, 2001

23. Lloyed, S.P.: Least squares quantization in PCM. IEEE Trans. Inf. Theory 28(2), 129–137 (1982)

    Article  Google Scholar 

24. Maimon, O., Rokach, L. (eds.): The Data Mining and Knowledge Discovery Handbook. Springer, Berlin (2005)

    Google Scholar 

25. Menzel, S., Olhofer, M., Sendhoff, B.: Direct manipulation of free form deformation in evolutionary design optimisation. In: Runarsson, T.P., et al. (eds.) International Conference on Parallel Problem Solving from Nature, PPSN, pp. 352–361. Springer, Berlin (2006)

    Chapter  Google Scholar 

26. Menzel, S., Sendhoff, B.: Representing the change—Free form deformation for evolutionary design optimisation. In: Yu, T., Davis, D., Baydar, C., Roy, R. (eds.) Evolutionary Computation in Practice. Springer, Berlin (2008)

    Google Scholar 

27. Meyers, R.H., Montgomery, D.C.: Response Surface Methodology. Wiley, New York (1995)

    Google Scholar 

28. Obayashi, S., Sasaki, D.: Visualization and data mining of pareto solutions using self-organizing map. In: Proc. Second Intern. Conf. on Evolutionary Multi-Criterion Optimization, EMO 2003, vol. 2632/2003, p. 71, Faro, Portugal, 2003

29. Samareh, J.: A survey of shape parametrization techniques. In: Intern. Forum on Aeroelasticity and Structural Dynamics Conf. (1999)

30. Sederberg, T.W., Parry, S.R.: Free-form deformation of solid geometric models. In: SIGGRAPH ’86: Proceedings of the 13th Annual Conference on Computer Graphics and Interactive Techniques, pp. 151–160, 1986

31. Shewchuk, J.R.: Delaunay refinement mesh generation. Ph.D. thesis, Carnegie-Mellon Univ., School of Computer Science (1997)

32. Shimada, K.: Anisotropic triangular meshing of parametric surfaces via close packing of ellipsoidal bubbles. Int. J. Comput. Geom. Appl. 10(4), 400–424 (2000)

    Article  MathSciNet  Google Scholar 

33. Wang, Y., Peterson, B.S., Staib, L.H.: Shape-based 3D surface correspondence using geodesic and local geometry. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, pp. 644–651. IEEE, Piscataway (2000)

    Google Scholar 

Download references