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Recent Advances in Steady Compressible Aerodynamic Sensitivity Analysis

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Book cover Flow Control

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 68))

Abstract

An overview is given of some recent accomplishments by different researchers in calculating gradient information of interest from modern flow-analysis codes. Of particular interest here is advanced computational fluid dynamics (CFD) software, which solves the nonlinear multidimensional Euler and/or Navier-Stokes equations. The accurate, efficient calculation of aerodynamic sensitivity derivatives is very important in design-oriented applications of these CFD codes to single discipline and multidisciplinary problems [1, 2].

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References

  1. J.S-. Sobieski, The Case for Aerodynamic Sensitivity Analysis, NASA CP-2457, pp. 77–96, January 1987.

    Google Scholar 

  2. J.S-. Sobieski, Multidisciplinary Optimization for Engineering Systems: Achievements and Potential, NASA TM 101566, March 1989.

    Google Scholar 

  3. G.R. Shubin and P.D. Frank, A Comparison of Two Closely-Related Approaches to Aerodynamic Design Optimization, in Third International Conference on Inverse Design Concepts and Optimization in Engineering Sciences (ICIDES-III), pp. 67–78, Washington, D.C., October 1991. (Also Technical Report AMS-TR-163, Boeing Computer Services, April 1991.)

    Google Scholar 

  4. H.M. Elbanna and L.A. Carlson, Determination of Aerodynamic Sensitivity Coefficients Based on the Transonic Small Perturbation Formulation, Journal of Aircraft, Vol. 27, No. 6, June 1990, pp. 507–515. (Also AIAA Paper 89-0532, January 1989).

    Article  Google Scholar 

  5. H.M. Elbanna and L.A. Carlson, Determination of Aerodynamic Sensitivity Coefficients Based on the Three-Dimensional Full Potential Equation, AIAA Paper 92-2670, June 1992.

    Google Scholar 

  6. M. Drela, Viscous and Inviscid Inverse Schemes Using Newton’s Method, In Special Course on Inverse Methods for Airfoil Design for Aeronautical and Turbomachinery Applications, AGARD Report No. 780, May 1990, pp. 9.1–9.16.

    Google Scholar 

  7. A.C. Taylor III, V.M. Korivi, and G.W. Hou, Taylor Series Approximation of Geometric Shape Variation for the Euler Equations, AIAA Journal, Vol. 30, No. 8, August 1992, pp. 2163–2165. (Also AIAA paper 91-0173, January 1991).

    Article  MATH  Google Scholar 

  8. A.C. Taylor III, G.W. Hou and V.M. Korivi, Methodology for Calculating Aerodynamic Sensitivity Derivatives, AIAA Journal, Vol. 30, No. 10, October 1992, pp. 2411–2419. (Also in AIAA/ASME/ASCE/AHS/ASC 32nd Structures, Structural Dynamics, and Materials Conference, April 1991, pp. 477–489, AIAA Paper 91-1101-CP).

    Article  MATH  Google Scholar 

  9. G.J-.W. Hou, A.C. Taylor III, and V.M. Korivi, Discrete Shape Sensitivity Equations for Aerodynamic Problems, AIAA Paper 91-2259, June 1991. (Also to appear, International Journal of Numerical Methods in Engineering).

    Google Scholar 

  10. O. Baysal and M.E. Eleshaky, Aerodynamic Sensitivity Analysis for the Compressible Euler Equations, ASME Journal of Fluids Engineering, Vol. 113, No. 4, December 1991. (Also in Recent Advances and Applications in CED, ed. by O. Baysal, ASME-FED, Vol. 103, Winter Annual Meeting, November 1990, pp. 191–202).

    Google Scholar 

  11. O. Baysal and M.E. Eleshaky, Aerodynamic Design Optimization Using Sensitivity Analysis and Computational Fluid Dynamics, AIAA Journal, Vol. 30, No. 3, March 1992, pp. 718–725. (Also AIAA Paper 91-0471, January 1991).

    Article  MATH  Google Scholar 

  12. A.C. Taylor III, G.W. Hou, and V.M. Korivi, Sensitivity Analysis, Approximate Analysis, and Design Optimization for Internal and External Viscous Flows, AIAA Paper 91-3083, September 1991. (Also to appear, International Journal of Numerical Methods in Fluids).

    Google Scholar 

  13. M.E. Eleshaky and O. Baysal, Airfoil Shape Optimization Using Sensitivity Analysis on Viscous Flow Equations, ASME Journal of Fluids Engineering, Vol 115, No. 1, March 1993, pp. 75–84. (Also in Multidisciplinary Applications of Computational Fluid Dynamics, ed. by O. Baysal, ASME-FED, Vol. 129, Winter Annual Meeting, December 1991, pp. 27–37).

    Article  Google Scholar 

  14. F. Beux and A. Dervieux, Exact-Gradient Shape Optimization of a 2-D Euler Flow, Finite Elements in Analysis and Design, Vol. 12, 1992, pp. 281–302.

    Article  MathSciNet  MATH  Google Scholar 

  15. G.R. Shubin, Obtaining ‘Cheap’ Optimization Gradients from Computational Aerodynamics Codes, Technical Report AMS-TR-164, Boeing Computer Services, June 1991.

    Google Scholar 

  16. M.E. Eleshaky and O. Baysal, Aerodynamic Shape Optimization Via Sensitivity Analysis on Decomposed Computational Domains, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 98–109 (AIAA paper 92-4698-CP).

    Google Scholar 

  17. M.E. Eleshaky and O. Baysal, Preconditioned Domain Decomposition Scheme for Three-Dimensional Aerodynamics Sensitivity Analysis, in AIAA CP-933, AIAA 11th Computational Fluid Dynamic Conference, July 1993, pp. 1055–1056.

    Google Scholar 

  18. V.M. Korivi, A.C. Taylor III, P.A. Newman, G.J-.W. Hou, and H.E. Jones, An Approximately Factored Incremental Strategy for Calculating Consistent Discrete Aerodynamic Sensitivity Derivatives, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 465–478, (AIAA paper 92-4746-CP, and also to appear, Journal of Computational Physics).

    Google Scholar 

  19. P.A. Newman, G.J-.W. Hou, H.E. Jones, A.C. Taylor III, and V.M. Korivi, Observations on Computational Methodologies for use in Large-Scale, Gradient-Based, Multi disciplinary Design, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 531–542, (AIAA paper 92-4753-CP).

    Google Scholar 

  20. G.W. Burgreen and O. Baysal, Aerodynamic Shape Optimization Using Preconditioned Conjugate Gradient Methods, in AIAA CP-933, AIAA 11th Computational Fluid Dynamics Conference, July 1993 pp. 278–288 (AIAA paper 93-3322-CP).

    Google Scholar 

  21. V.M. Korivi, A.C. Taylor III, G.W. Hou, P.A. Newman, and H.E. Jones, Sensitivity Derivatives for Three-Dimensional Supersonic Euler Code Using Incremental Iterative Strategy, in AIAA CP-933, AIAA 11th Computational Fluid Dynamics Conference, July 1993, pp. 1053–1054.

    Google Scholar 

  22. MACSYMA Reference Manual, Version 13, Computer Aided Mathematics Group, Symbolics, Inc., 1988.

    Google Scholar 

  23. C. Bischof and A. Griewank, ADIFOR: A Fortran System for Portable Automatic Differentiation, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 433–441 (AIAA paper 92-4744-CP).

    Google Scholar 

  24. C. Bischof, G. Corliss, L. Green, A. Griewank, K. Haigler, and P. Newman, Automatic Differentiation of Advanced CFD Codes for Multidisci-plinary Design, presented at the Symposium on High-Performance Computing for Fligh Vehicles, December 1992, Arlington, VA. (To appear in Computing Systems in Engineering, Vol. 3, No. 6, 1993).

    Google Scholar 

  25. L.L. Green, P.A. Newman, and K.J. Haigler, Sensitivity Derivatives for Advanced CFD Algorithm and Viscous Modelling Parameters Via Automatic Differentiation, in AIAA CP-933 AIAA 11th Computational Fluid Dynamics Conference, July 1993, pp. 260–277, (AIAA Paper 93-3321-CP).

    Google Scholar 

  26. L. Green, C. Bischof, A. Carle, A. Griewank, K. Haigler, P. Newman, Automatic Differentiation of Advanced CFD Codes With Respect To Wing Geometry Parameters for MDO, abstract in Second U.S. National Congress on Computational Mechanics, August 16–18, 1993, Washington, D.C.

    Google Scholar 

  27. V.N. Vatsa and B.W. Wedan, Development of a Multigrid Code for 3-D Navier-Stokes Equations and Its Application to a Grid Refinement Study, Journal of Computers and Fluids, Vol. 18, No. 4, pp. 391–403, 1990.

    Article  MATH  Google Scholar 

  28. R.E. Smith and I. Sadrehaghighi, Grid Sensitivity In Airplane Design, in Proceedings of the Fourth International Symposium on Computational Fluid Dynamics, Vol. 1, September 1991, Davis California, pp. 1071–1076.

    Google Scholar 

  29. I. Sadrehaghighi, R.E. Smith, and S.N. Tiwari, Grid and Design Variable Sensitivity Analysis for NACA Four-Digit Wing-Sections, AIAA Paper 93-0195, January 1993.

    Google Scholar 

  30. I. Sadrehaghighi, R.E. Smith, and S.N. Tiwari, An Analytical Approach to Grid Sensitivity Analysis, AIAA Paper 92-0660, January 1992.

    Google Scholar 

  31. G.W. Burgreen, O. Baysal, and M.E. Eleshaky, Improving the Efficiency of Aerodynamic Shape Optimization Procedures, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 87–97, (AIAA paper 92-4697-CP and to appear, AIAA Journal).

    Google Scholar 

  32. E. Cramer, P. Frank, G. Shubin, J. Dennis, and R. Lewis, On Alternative Problem Formulations for Multidis ciplinary Design Optimization, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 518–530, (AIAA 92-4752-CP).

    Google Scholar 

  33. M. Rizk, The Single-Cycle Scheme: A New Approach to Numerical Optimizations, AIAA Journal, Vol. 21, 1983, pp. 1640–1647.

    Article  MathSciNet  MATH  Google Scholar 

  34. M. Rizk, Optimization by Updating Design Parameters as CFD Iterative Flow Solutions Evolve, in Multidis ciplinary Applications of Computational Fluid Dynamics, ed. by O. Baysal, ASME-FED, Vol. 129, Winter Annual Meeting, December 1991, pp. 51–62.

    Google Scholar 

  35. W.P. Huffman, R.G. Melvin, D.P. Young, F.T. Johnson, J.E. Bussoletti, M.B. Bieterman, and C.L. Hilmes, Practical Design and Optimization in Computational Fluid Dynamics, AIAA Paper 93-3111, July 1993.

    Google Scholar 

  36. G. Orozco and O. Ghattas, Optimal Design of Systems Governed by Nonlinear Partial Differential Equations, in AIAA CP-9213, Fourth AIAA/USAF/NASA/OAI Symposium on Multidisciplinary Analysis and Optimization, September 1992, pp. 1126–1140, (AIAA 92-4836-CP).

    Google Scholar 

  37. G.W. Hou, A.C. Taylor III, S.V. Mani, and P.A. Newman, Simultaneous Aerodynamic Analysis and Design Optimization, abstract in Second U.S. National Congress on Computational Mechanics, August 16–18, 1993, Washington, D.C.

    Google Scholar 

  38. J.T. Borggaard, On the Presence of Shocks in Domain Optimization of Euler Flows, this volume.

    Google Scholar 

  39. E.C. Yates, Jr., Integral-Equation Methods in Steady and Unsteady Subsonic, Transonic, and Supersonic Aerodynamics for Interdisciplinary Design, NASA TM 102577, May 1990.

    Google Scholar 

  40. E.G. Yates, Jr. and R.N. Desmarias, Boundary-Integral Method for Calculating Aerodynamic Sensitivities with Illustration for Lifting-Surface Theory, Proceedings of the Third International Congress of Fluid Mechanics, Cairo, Egypt, January 1990.

    Google Scholar 

  41. J. Borggaard, J.A. Burns, E. Cliff, and M. Gunzburger, Sensitivity Calculations for a 2D Inviscid, Supersonic Forebody Problem, NASA CR-19144 and ICASE Report No. 93-13, March 1993.

    Google Scholar 

  42. A. Jameson, Aerodynamic Design Via Control Theory, Journal of Scientific Computing, Vol. 3, pp. 233–260, 1988. (Also NASA CR-181749 and ICASE Report No. 88-64, November 1988.)

    Article  MATH  Google Scholar 

  43. A. Jameson, Automatic Design of Transonic Airfoils to Reduce Induced Pressure Drag, Princeton University MAE Report 1881, 1990. (Also 31st Israel Annual Conference in Aviation and Aeronautics, February 1990).

    Google Scholar 

  44. J.R. Lewis, G.R. Peters, and R.K. Agarwal, Airfoil Design Via Control Theory Using Euler Equations, in Multidisciplinary Applications of Computational Fluid Dynamics, ed. by O. Baysal, ASME-FED, Vol. 129, Winter Annual Meeting, December 1991, pp. 39–49.

    Google Scholar 

  45. S. Ta’asan, G. Kuruvila and M.D. Salas, Aerodynamic Design and Optimization in Qne Shot, AIAA Paper 92-0025, January 1992.

    Google Scholar 

  46. G. Kuruvila, private communication, written report in preparation.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Old Dominion University, Norfolk, VA, 23529, USA

    Arthur C. Taylor III (Assistant Professor)

  2. NASA Langley Research Center, Hampton, VA, USA

    Perry A. Newman (Senior Research Scientist)

  3. Department of Mechanical Engineering, Old Dominion University, Norfolk, VA, 23681, USA

    Gene J.-W. Hou (Associate Professor)

  4. U.S. Army AeroFlightdynamics Directorate, Hampton, VA, 23681, USA

    Henry E. Jones (Research Scientist)

Authors
  1. Arthur C. Taylor III
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  2. Perry A. Newman
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  3. Gene J.-W. Hou
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  4. Henry E. Jones
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Interdisciplinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061-0531, USA

    Max D. Gunzburger

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© 1995 Springer-Verlag New York, Inc.

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Taylor, A.C., Newman, P.A., Hou, G.JW., Jones, H.E. (1995). Recent Advances in Steady Compressible Aerodynamic Sensitivity Analysis. In: Gunzburger, M.D. (eds) Flow Control. The IMA Volumes in Mathematics and its Applications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2526-3_15

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  • DOI: https://doi.org/10.1007/978-1-4612-2526-3_15

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7569-5

  • Online ISBN: 978-1-4612-2526-3

  • eBook Packages: Springer Book Archive

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