DOI QR코드

DOI QR Code

MRA와 POD를 적용한 공력특성 최적설계

MRA AND POD APPLICATION FOR AERODYNAMIC DESIGN OPTIMIZATION

  • 구본찬 (한양대학교 기계공학과) ;
  • 한준희 (한양대학교 기계공학과) ;
  • 조태현 (한양대학교 기계설계공학과) ;
  • 박경현 (삼성전기 중앙연구소 기반기술팀 CAE그룹) ;
  • 이도형 (한양대학교 기계공학과)
  • Koo, B.C. (Dept. of Mechanical Engineering, Hanyang Univ.) ;
  • Han, J.H. (Dept. of Mechanical Engineering, Hanyang Univ.) ;
  • Jo, T.H. (Dept. of Mechanical Design Engineering, Hanyang Univ.) ;
  • Park, K.H. (Samsung Electro-Mechanics CAE Group) ;
  • Lee, D.H. (Dept. of Mechanical Engineering, Hanyang Univ.)
  • 투고 : 2015.04.07
  • 심사 : 2015.06.08
  • 발행 : 2015.06.30

초록

This paper attempts to evaluate the accuracy and efficiency of a design optimization procedure by combining wavelets-based multi resolution analysis method and proper orthogonal decomposition (POD) technique. Aerodynamic design procedure calls for high fidelity computational fluid dynamic (CFD) simulations and the consideration of large number of flow conditions and design constraints. Thus, even with significant computing power advancement, current level of integrated design process requires substantial computing time and resources. POD reduces the degree of freedom of full system by conducting singular value decomposition for various field simulations. In this research, POD combined Design Optimization model is proposed and its efficiency and accuracy are to be evaluated. For additional efficiency improvement of the procedure, multi resolution analysis method is also being employed during snapshot constructions (POD training period). The proposed design procedure was applied to the optimization of wing aerodynamic performance. Throughout the research, it was confirmed that the POD/MRA design procedure could significantly reduce the total design turnaround time and also capture all detailed complex flow features as in full order analysis.

키워드

참고문헌

  1. 2009, Ball, D., "Recent Applications of CFD to the Design of Boeing Commercial Transports," HPC User Forum, Roanoke, VA.
  2. 1988, Berger, M.J. and Colella, P., "Local adaptive mesh refinement for shock hydrodynamics," Journal of Computational Physics, Vol.82, pp.64-84.
  3. 1988, Harten, A., Enquist, B., Osher, S. and Chakravarthy, S.R., "Uniformly high order accurate essentially non-oscillatory schemes," Journal of Computational Physics, Vol.71, pp.239-303.
  4. 1988, Berger, M.J. and Colella, P., "Local adaptive mesh refinement for shock hydrodynamics," Journal of Computational Physics, Vol.82, pp.64-84.
  5. 1994, Harten, A., "Adaptive multiresolution schemes for shock computation," Journal of Computational Physics, Vol.115, pp.319-338. https://doi.org/10.1006/jcph.1994.1199
  6. 1997, Bihari, B.L. and Harten, A., "Multiresolution schemes for the numerical solution of 2-D conservation laws I," SIAM Journal on Scientific Computing, Vol.18.2, pp.315-354. https://doi.org/10.1137/S1064827594278848
  7. 1999, Holmstrom, M., "Solving hyperbolic PDEs using interpolation wavelets," SIAM Journal on Scientific Computation, Vol.21, pp.405-420. https://doi.org/10.1137/S1064827597316278
  8. 1995, Sjogreen, B., "Numerical experiments with the multiresolution scheme for the compressible Euler equations," Journal of Computational Physics, Vol.117, pp.251-261. https://doi.org/10.1006/jcph.1995.1063
  9. 2001, Chiavassa, G. and Donat, R., "Point-value multiscale algorithms for 2D compressible flows," SIAM Journal on Scientific Computation, Vol.23, pp.805-823. https://doi.org/10.1137/S1064827599363988
  10. 2003, Chiavassa, G. and Donat, R., "Shock vortex interactions at high mach numbers," Journal of Scientific Computing, Vol.19, pp.347-371. https://doi.org/10.1023/A:1025316311633
  11. 2003, Cohen, A., Kaber, S.M., Müller, S. and Postel, M., "Fully adaptive multiresolution finite volume schemes for conservation laws," Mathematics of Computation, Vol.72, pp.183-2250.
  12. 2007, Muller S, Stiriba Y., "Fully adaptive multiscale schemes for conservation laws employing locally varying time stepping," Journal of Scientific Computing, Vol.30, pp.493-531. https://doi.org/10.1007/s10915-006-9102-z
  13. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improvement in computational efficiency of Euler equations via a modified Sparse Point Representation method," Compu. and Fluids, Vol.37, pp.265-280. https://doi.org/10.1016/j.compfluid.2007.05.003
  14. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improved computational efficiency of unsteady flow problems via the modified wavelet method," AIAA Journal, Vol.46, pp.1191-1203. https://doi.org/10.2514/1.34294
  15. 2014. Kang, H., Park, K., Kim, K. and Lee, D., "Multi resolution analysis for high accuracy and efficiency of Euler computation," International Journal for Numerical Methods in Fluids, Vol.74.9, pp.661-683. https://doi.org/10.1002/fld.3866
  16. 2014. Jo, D.U., Park, K.H., Kang, H.M. and Lee, D.H., "IMPLEMENTATION OF ADAPTIVE WAVELET METHOD FOR ENHANCEMENT OF COMPUTATIONAL EFFICIENCY FOR THREE DIMENSIONAL EULER EQUATION," J. Comput. Fluids Eng., Vol.19.2, pp.58-65.
  17. 2004, Lucia, D.J., Beran, P.S. and Silva, W.A., "Reduced-Order Modeling: New Approaches for Computational Physics," Progress in Aerospace Science, Vol.40.1, pp.51-117. https://doi.org/10.1016/j.paerosci.2003.12.001
  18. 2001, Lucia, D.J., "Reduced Order Modelling for High Speed Flows With Moving Shocks," Ph.D. Dissertation, Air Force Inst. of Technology School of Engineering and Management.
  19. 1996. Holmes, P., Lumley, J.L. and Berkooz, G., "Turbulence, Coherent Structures, Dynamical Systems and Symmetry," Cambridge University Press.
  20. 2005, Kim, T., "Efficient Reduced-Order System Identification for Linear Systems with Multiple Inputs," AIAA Journal, Vol.43.7, pp.1455-1464. https://doi.org/10.2514/1.11225
  21. 2010, Jun, S.O., Park, K.H., Kang, H.M., Lee, D.H. and Cho, M.H., "Reduced Order Model of Three Dimensional Euler Equations Using Proper Orthogonal Decomposition Basis," Journal of Mechanical Science and Technology, Vol.24.2, pp.601-608. https://doi.org/10.1007/s12206-010-0106-0
  22. 2013, Park, K.H., Jun, S.O., Baek, S.M., Cho, M.H., Yee, K.J. and Lee, D.H., "Reduced-order model with an artificial neural network for aerostructural design optimization," Journal of Aircraft, Vol.50.4, pp.1106-1116. https://doi.org/10.2514/1.C032062
  23. 1979, Schmitt, V. and Charpin, F., "Pressure distributions on the ONERA-M6-Wing at transonic Mach numbers," Experimental data base for computer program assessment 4.
  24. 1995, Myers, R.H. and Montgomery, D.C., "Response Surface Methodology Process and Product Optimization Using Designed Experiments Vol.705," John Wiley & Sons.
  25. 1999, Hedayat, A.S., Sloane, N.J.A. and Stufken, J., "Orthogonal arrays: theory and applications," Springer Science & Business Media.
  26. 2004, Lee, Y., Hong, K.J. and Choi, D.H., "An efficient robust optimal design method for engineering systems with numerical noise," In Proceedings of the 10th AIAA/ISSMO multidisciplinary analysis and optimization conference.
  27. 2001, Hong, K.J., Kim, M.S. and Choi, D.H., "Efficient approximation method for constructing quadratic response surface model," KSME international journal, Vol.15.7, pp.876-888.