Skip to main content

Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization

  • Chapter
  • First Online:
Variational Analysis and Aerospace Engineering

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 116))

Abstract

A trust region filter-SQP method is used for wing multi-fidelity aerostructural optimization. Filter method eliminates the need for a merit function, and subsequently a penalty parameter. Besides, it can easily be modified to be used for multi-fidelity optimization. A low fidelity aerostructural analysis tool is presented, that computes the drag, weight, and structural deformation of lifting surfaces as well as their sensitivities with respect to the design variables using analytical methods. That tool is used for a mono-fidelity wing aerostructural optimization using a trust region filter-SQP method. In addition to that, a multi-fidelity aerostructural optimization has been performed, using a higher fidelity CFD code to calibrate the results of the lower fidelity model. In that case, the lower fidelity tool is used to compute the objective function, constraints, and their derivatives to construct the quadratic programming subproblem. The high fidelity model is used to compute the objective function and the constraints used to generate the filter. The results of the high fidelity analysis are also used to calibrate the results of the lower fidelity tool during the optimization. This method is applied to optimize the wing of an A320 like aircraft for minimum fuel burn. The results showed about 9 % reduction in the aircraft mission fuel burn.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Alexandrov, N.M., Lewis, R.M., Gumbert, C.R., Green, L.L, Newman, P.A.: Approximation and model management in aerodynamic optimization with variable-fidelity models. J. Aircr. 38 (6), 1093–1101 (2001)

    Article  Google Scholar 

  2. Conn, A.R., Gould, N.I.M, Toint, P.L.: Trust-Region Methods. MPS-SIAM Series on Optimization, 959 p. Society for Industrial and Applied Mathematics, Philadelphia, PA (2000)

    Google Scholar 

  3. Elham, A.: Adjoint quasi-three-dimensional aerodynamic solver for multi-fidelity wing aerodynamic shape optimization. Aerosp. Sci. Technol. 41, 241–249 (2015)

    Article  Google Scholar 

  4. Elham, A., van Tooren, M.J.L.: Effect of wing-box structure on the optimum wing outer shape. Aeronaut. J. 118 (1199), 1–30 (2014)

    Article  Google Scholar 

  5. Elham, A., van Tooren, M.J.L.: Coupled adjoint aerostructural wing optimization using quasi-three-dimensional aerodynamic analysis. In: 16th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 22–26 June 2015, Dallas, TX, AIAA 2015-2487

    Google Scholar 

  6. Elham, A., van Tooren, M.J.L.: Tool for preliminary structural sizing, weight estimation, and aeroelastic optimization of lifting surfaces. Proc. IMechE Part G: J. Aerosp. Eng. 230 (2), 280–295 (2016)

    Google Scholar 

  7. Fletcher, R., Leyffer, S.: Nonlinear programming without a penalty function. Math. Program. Ser. A 91, 239–269 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  8. Fletcher, R., Leyffer, S., Toint, P.L.: On the convergence of a filter-SQP algorithm. SIAM J. Optim. 13 (1), 44–59 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  9. Gill, P., Murray, W., Saunders, M.: SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM Rev. 47 (1), 99–131 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kenway, G.K.W., Martins, J.R.R.A.: Multipoint high-fidelity aerostructural optimization of a transport aircraft configuration. J. Aircr. 21 (1), 144–160 (2014)

    Article  Google Scholar 

  11. Kenway, G.K.W., Kennedy, G.J., Martins, J.R.R.A.: Scalable parallel approach for high-fidelity steady-state aeroelastic analysis and adjoint derivative computations. AIAA J. 52 (5), 935–951 (2014)

    Article  Google Scholar 

  12. Kreisselmeier, G., Steinhauser, R.: Systematic control design by optimizing a vector performance indicator. In: Cuenod, M.A. (ed.) IFAC Symposium on Computer Aided Design of Control Systems. Pergamon Press, Oxford (1980)

    Google Scholar 

  13. March, A., Willcox, K.: Convergent multifidelity optimization using Bayesian model calibration. In: 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, 13–15 Sept 2010, Fort Worth, TX, AIAA 2010-9198

    Google Scholar 

  14. March, A., Willcox, K.: A robust approach to aerostructural design. In: 3rd Aircraft Structural Design Conference, Oct 2012. Royal Aeronautical Society, Delft (2012)

    Google Scholar 

  15. Martins, J.R.R.A., Alonso, J.J., Reuther, J.J.: High-fidelity aerostructural design optimization of a supersonic business jet. J. Aircr. 41 (3), 523–530 (2004)

    Article  Google Scholar 

  16. Martins, J.R.R.A., Alonso, J.J., Reuther, J.J.: A coupled-adjoint sensitivity analysis method for high-fidelity aero-structural design. Optim. Eng. 6, 33–62 (2005)

    Article  MATH  Google Scholar 

  17. Meredith, P.T.: Viscous phenomena affecting high-lift systems and suggestions for future CFD development. AGARD TR-94-18415- 04-01, Sept 1993

    Google Scholar 

  18. Nocedal, J., Wright, S.J.: Numerical Optimization, 664 p. Springer, New York (2000)

    Google Scholar 

  19. Obert, E.: Aerodynamic Design of Transport Aircraft, p. 638. IOS Press, Amsterdam (2009)

    Google Scholar 

  20. Roskam, J.: Airplane Design, Part I: Preliminary Sizing of Airplanes. DARcorporation, Lawrence, Kan (1986)

    Google Scholar 

  21. Rump, S.M., INTLAB - Interval Laboratory. In: Developments in Reliable Computing, pp. 77–104. Kluwer, Dordrecht (1999)

    Google Scholar 

  22. Torenbeek, E.: Advanced Aircraft Design, Conceptual Design, Analysis and Optimization of Subsonic Civil Airplanes, p. 410. Wiley, West Sussex (2013)

    Google Scholar 

  23. van Dam, C.: Aircraft design and the importance of drag prediction. In: CFD-Based Aircraft Drag Prediction and Reduction, vol. 2, pp. 1–37. von Karman Institute for Fluid Dynamics, Rhode-St-Genese (2003)

    Google Scholar 

  24. Vanderplaats, G.N.: Multidisciplinary Design Optimization, 477 p. Vanderplaats Research and Development Inc., Monterey, CA (2007)

    Google Scholar 

  25. van der Wees, A., van Muijden, J., van der Vooren, J.: A Fast and Robust Viscous-Inviscid Interaction Solver for Transonic Flow About Wing/Body Configurations on the Basis of Full Potential Theory, AIAA Paper 1993-3026, July 1993

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ali Elham .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Elham, A., Tooren, M.J.L.v. (2016). Trust Region Filter-SQP Method for Multi-Fidelity Wing Aerostructural Optimization. In: Frediani, A., Mohammadi, B., Pironneau, O., Cipolla, V. (eds) Variational Analysis and Aerospace Engineering. Springer Optimization and Its Applications, vol 116. Springer, Cham. https://doi.org/10.1007/978-3-319-45680-5_10

Download citation

Publish with us

Policies and ethics