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Algorithm Issues and Challenges Associated with the Development of Robust CFD Codes

  • Steven R. Allmaras
  • John E. Bussoletti
  • Craig L. Hilmes
  • Forrester T. Johnson
  • Robin G. Melvin
  • Edward N. Tinoco
  • Venkat Venkatakrishnan
  • Laurence B. Wigton
  • David P. Young
Conference paper
Part of the Springer Optimization and Its Applications book series (SOIA, volume 33)

Abstract

Over the next 20 years, Boeing will likely develop, manufacture, sell, and support many thousands of vehicles that fly. During this period, Boeing project aerodynamicists need access to tools that accurately predict and confirm vehicle flight characteristics. Thirty years ago, these tools consisted almost entirely of analytic approximation methods, wind tunnel tests, and flight tests.With the development of increasingly powerful computers, numerical simulations of various approximations to the Navier–Stokes equations have begun supplementing these tools. Collectively, these numerical simulation methods have become known as computational fluid dynamics (CFD). This chapter describes the algorithm issues and challenges associated with the development of reliable Navier–Stokes codes that can be used by a wide variety of project engineers who do not necessarily have a deep background in numerical methods.

Keywords

Coarse Grid Discontinuous Galerkin Error Indicator Grid Adaption Computational Fluid Dynamic Code 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

Acknowledgements

The authors thank our colleague, Dmitrii Kamenetskii of the Keldysh Institute in Moscow, for valuable results regarding aspects of the SUPG method. We also thank our colleague, Andrey Wolkov of the Boeing Technical Research Center, Moscow, for similar results regarding the DG method. Finally, we thank our colleagues Victor Zhukov and Olga Feodoritova of the Keldysh Institute for valuable results regarding domain decomposition and multigrid methods.

References

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    Johnson, F.T., Tinoco, E.N. and Yu, N.J., Thirty Years of Development and Application of CFD at Boeing Commercial Airplanes, Seattle, AIAA-2003-3439, June, 2003; also in Computers & Fluids, 34 (2005), pp. 1115–1151.MATHCrossRefGoogle Scholar
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    Hughes, T. J. R. and Brooks, A., Multi-dimensional Upwind Scheme With No Crosswind Diffusion, Finite Element Methods for Convection Dominated Flows, New York, 1979, ASME.Google Scholar
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    Hughes, T. J. R., Engel, G., Mazzel, L., and Larson, M. G., The Continuous Galerkin Method is Locally Conservative, J. Comp. Phys., 163 (2000), pp. 467–488.MATHCrossRefGoogle Scholar
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    Venkatakrishnan, V., Allmaras, S.R., Kamenetskii, D., and Johnson, F.T., Higher Order Schemes for the Compressible Navier-Stokes Equations, AIAA Paper 2003-3987, 16th AIAA Computational Fluid Dynamics Conference, June 23–26, 2003, Orlando, FL.Google Scholar

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  • Steven R. Allmaras
    • 1
  • John E. Bussoletti
    • 1
  • Craig L. Hilmes
    • 1
  • Forrester T. Johnson
    • 1
  • Robin G. Melvin
    • 1
  • Edward N. Tinoco
    • 1
  • Venkat Venkatakrishnan
    • 1
  • Laurence B. Wigton
    • 1
  • David P. Young
    • 1
  1. 1.The Boeing CompanySeattleUSA

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