Skip to main content
SpringerLink
Log in

Preparation of Advanced CFD Codes for use in Sensitivity Analyses and Multidisiplinary Design Optimization

  • Conference paper
Book cover Optimal Design and Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 19))

Abstract

Several topics concerning computational methodologies relevant to preparation and efficient use of advanced CFD codes in sensitivity analyses (SA) and multidisciplinary analysis and design optimization MDO) are briefly discussed. This work was initiated several years ago by NASA Langley and has continued to involve government and university personnel. The several topics to be discussed and illustrated with sample results are as follow:

  • Efficient calculation of both geometric and nongeometric sensitivity derivatives (SD) from a 2-D thin layer Navier-Stokes code and a 3-D supersonic (marching) Euler code using incremental iterative methods.

  • Automatic differentiation (AD) of a 3-D thin layer Navier-Stokes code to obtain:

    • geometric and nongeometric SD typical of those needed for MDO

    • CFD algorithm and turbulence modeling SD, illustrating feasibility for SA of complex math models.

  • Initial application of AD to incremental iterative forms for both first and second derivatives for a 2-D thin layer Navier-Stokes code.

  • Development of a method for Simultaneous Aerodynamic Analysis and Design Optimization, SAADO.

Some of these techniques have already been suggested for doing parts of the problem more efficiently; the contribution here is demonstrating how they fit together in a mutually beneficial way.

See acknowlegments for others involved in the work reported on in this paper.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. A. Taylor, P. Newman, G. Hou, and H. Jones; Recent advances in steady compressible aerodynamic sensitivity analysis, in Flow Control (Ed. by M. Gunzburger), Springer, 1995, 341–356. (Presented at the IMA Workshop on Flow Control, Institute for Mathematics and Its Applications, University of Minnesota, MN, Nov. 1992.)

    Google Scholar 

  2. P. Newman, G. Hou, H. Jones, A. Taylor, and V. Korivi; Observations on computational methodologies for use in large-scale gradient-based multidisciplinary design, Proc. Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, AIAA, Cleveland, 1992, 531–542. (AIAA Paper 92-4753-CP, 1992.)

    Google Scholar 

  3. V. Korivi, A. Taylor, P. Newman, G. Hou, and H. Jones; An approximately-factored incremental strategy for calculating consistent discrete aerodynamic sensitivity derivatives, Proc. Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, AIAA, Cleveland, 1992, pp. 465–478 (AIAA Paper 92-4746-CP, 1992.)

    Google Scholar 

  4. V. Korivi, A. Taylor, G. Hou, P. Newman, and H. Jones; Sensitivity derivatives for three-dimensional supersonic Euler code using incremental iterative strategy, A Collection of Technical Papers, Part 2, IIth AIAA Computational Fluid Dynamics Conference, AIAA, Orlando, 1993, 1053–1054. (Expanded version: AIAA J. 32, 1994, 1319-1321.)

    Google Scholar 

  5. G. Burgreen and O. Baysal; Three-dimensional aerodynamic shape optimization of wings using sensitivity analysis, AIAA Paper 94–0094, 1994.

    Google Scholar 

  6. V. Korivi, P. Newman, and A. Taylor; Aerodynamic optimization studies using a 3-D supersonic Euler code with efficient calculation of sensitivity derivatives, A Collection of Technical Papers, 5th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Panama City, 1994, 170–194. (AIAA Paper 94-4270, 1994.)

    Google Scholar 

  7. A. Arslan and L. Carlson; Integrated determination of sensitivity derivatives for an aeroelastic transonic wing, A Collection of Technical Papers, 5th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Panama City, 1994, 1286–1300. (AIAA Paper 94-4400, 1994.)

    Google Scholar 

  8. R. Barger and M. Adams; Automatic computation of wing-fuselage intersection lines and fillet inserts with fixed-area constraint, NASA TM 4406, 1993.

    Google Scholar 

  9. R. Barger, M. Adams and R. Ramakrishnan; Automatic computation of Euler marching grids and subsonic grids for wing-fuselage configurations, NASA TM 4573, 1994.

    Google Scholar 

  10. E. Unger and L. Hall; The use of automatic differentiation in an aircraft design problem, 5th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Panama City, 1994, 64–72. (AIAA Paper 94-4260, 1994.)

    Google Scholar 

  11. G. Vanderplaats; ADS-a Fortran program for automated design synthesis, NASA CR-17785, NASA Ames Research Center, 1985.

    Google Scholar 

  12. L. Rall; Automatic Differentiation: Techniques and Applications, Springer, Berlin, 1981.

    Book  MATH  Google Scholar 

  13. A. Griewank; On automatic differentiation, in Mathematical Programming: Recent Developments and Applications, (Ed. by M. Iri and K. Tanabe), Kluwer, Boston, 1989, 83–108.

    Google Scholar 

  14. A. Griewank and G. Corliss (Eds.); Automatic Differentiation of Algorithms: Theory, Implementation, and Application, SIAM, Philadelphia, 1991.

    MATH  Google Scholar 

  15. C. Bischof, A. Carle, G. Corliss, A. Griewank, and P. Hovland; ADIFOR: generating derivative codes from Fortran programs, Scient. Prog. 1, 1992, 1–29.

    Google Scholar 

  16. C. Bischof and A. Griewank; ADIFOR: a Fortran system for portable automatic differentiation, Proc. Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Optimization, AIAA, Cleveland, 1992, 433–441. (AIAA 92-4744-CP, 1992.)

    Google Scholar 

  17. J. Barthelemy and L. Hall; Automatic differentiation as a tool in engineering design, Proc. Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Optimization, AIAA, Cleveland, 1992, 424–432. (AIAA 92-4743-CP, 1992.)

    Google Scholar 

  18. C. Bischof, G. Corliss, L. Green, A. Griewank, K. Haigler, and P. Newman; Automatic differentiation of advanced codes for multidisciplinary design, Comput. Syst. Engnrg. 3, 1993. (Presented at the Symposium on High-Performance Computing for Flight Vehicles, Dec. 7–9, 1992, Arlington, VA.)

    Google Scholar 

  19. L. Green, P. Newman, and K. Haigler; Sensitivity derivatives for advanced CFD algorithm and viscous modelling parameters via automatic differentiation, AIAA 93–3321, 1993.

    Google Scholar 

  20. L. Green, C. Bischof, A. Carle, A. Griewank, K. Haigler, and P. Newman; Automatic differentiation of advanced CFD codes with respect to wing geometry parameters for MDO, Abstracts from Second U.S. National Congress on Computational Mechanics, Washington, 1993, 136.

    Google Scholar 

  21. A. Carle, L. Green, C. Bischof, and P. Newman; Applications of automatic differentiation in CFD, AIAA 94–2197, 1994.

    Google Scholar 

  22. L. Sherman, A. Taylor, L. Green, P. Newman, G. Hou, and M. Korivi; First-and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods, A Collection of Technical Papers, 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Panama City, 1994, 87–120. (AIAA 94-4262, 1994.)

    Google Scholar 

  23. C. Bischof, L. Green, K. Haigler, and T. Knauff; Parallel calculation of sensitivity derivatives for aircraft design using automatic differentiation, A Collection of Technical Papers, 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Panama City, 1994, 73–86. (AIAA 94-4261, 1994.)

    Google Scholar 

  24. A. Griewank, C. Bischof, G. Corliss, A. Carle, and K. Williamson; Derivative convergence of iterative equation solvers, Technical Report MCS-P333-1192, Mathematics and Computer Science Division, Argonne National Laboratory, 1992.

    Google Scholar 

  25. V. Vatsa and B. Wedan; Development of a multigrid code for 3-D Navier-Stokes equations and its applications to a grid-refinement study, Comp. Fluids 18, 1990, 391–403.

    Article  MATH  Google Scholar 

  26. B. Baldwin and H. Lomax; Thin layer approximation and algebraic model for separated turbulent flow, AIAA-78-257, 1978.

    Google Scholar 

  27. C. Hirsch; Numerical computation of internal and external flows, Computational Methods for Inviscid and Viscous Flows, Vol. 2, Wiley, New York, NY 1990.

    Google Scholar 

  28. D. Johnson and L. King; A mathematically simple turbulence closure model for attached and separated turbulent boundary layers, AIAA J. 23, 1985, 1684–1692.

    Article  MathSciNet  Google Scholar 

  29. R. Abid, V. Vatsa, D. Johnson, and B. Wedan; Prediction of separated transonic wing flows with nonequilibrium algebraic turbulence model, AIAA J. 28, 1990, 1426–1431.

    Article  Google Scholar 

  30. G. Hou and J. Sheen; Numerical methods for second-order shape sensitivity analysis with applications to heat conduction problems, Inter. J. Numer. Meth. Engrg. 36, 1993, 417–435.

    Article  MATH  Google Scholar 

  31. G. Hou, A. Taylor, S. Mani, and P. Newman; Simultaneous aerodynamic analysis and design optimization, Abstracts from Second U.S. National Congress on Computational Mechanics, Washington, 1993, 130.

    Google Scholar 

  32. S. Mani; Simultaneous Aerodynamic Analysis and Design Optimization, M.S. Thesis, Old Dominion University, Norfolk, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. NASA Langley Research Center, Hampton, VA, 23681, USA

    Perry A. Newman

Authors
  1. Perry A. Newman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Air Force Center for Optimal Design and Control Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, Virginia, 24061-0531, USA

    Jeffrey Borggaard , John Burkardt , Max Gunzburger  & Janet Peterson , ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this paper

Cite this paper

Newman, P.A. (1995). Preparation of Advanced CFD Codes for use in Sensitivity Analyses and Multidisiplinary Design Optimization. In: Borggaard, J., Burkardt, J., Gunzburger, M., Peterson, J. (eds) Optimal Design and Control. Progress in Systems and Control Theory, vol 19. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0839-6_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0839-6_16

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6916-8

  • Online ISBN: 978-1-4612-0839-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation