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Accelerated Finite-Volume Calculation of Transonic Potential Flows

  • Antony Jameson
  • D. A. Caughey
  • W. H. Jou
  • John Steinhoff
  • Richard Pelz
Part of the Notes on Numerical Fluid Mechanics book series (NONUFM, volume 3)

Abstract

A fully-conservative finite-volume algorithm is applied to the calculation of transonic potential flows past isolated airfoils and through two-dimensional channels. The difference equations are solved by a multi-grid technique which uses an alternating-direction-implicit method as a smoothing algorithm. The finite-volume formulation provides a very powerful framework within which to treat flows past complicated geometries, while the multi-grid/alternating-direction scheme provides rapid convergence of the solution to very small residuals. Results of calculations using the algorithm are presented for the isolated airfoil and transonic channel test cases provided by the Symposium organizers.

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References

  1. 1.
    Jameson, Antony and Caughey, D.A., “A Finite-Volume Method for Transonic Potential Flow Calculations,” Proc. of AIAA 3rd Computational Fluid Dynamics Conference, pp. 35–54, Albuquerque, N.M., June 27–29, 1977.Google Scholar
  2. 2.
    Caughey, D.A. and Jameson, Antony, “Numerical Calculation of Transonic Potential Flow about Wing-Body Combinations,” AIAA Journal Vol. 17, pp. 175–181, February 1979.ADSMATHCrossRefGoogle Scholar
  3. 3.
    Caughey, D.A. and Jameson, Antony, “Progress in Finite-Volume Calculations for wing-Fuselage Combinations,” AIAA Paper 77–677 (Also, AIAA Journal, to appear).Google Scholar
  4. 4.
    Jameson, Antony, “A Multi-Grid Scheme for Transonic Potential Calculations on Arbitrary Grids,” Proc. of AIAA 4th Computational Fluid Dynamics Conference, pp 122–146, Williamsburg, Va., July 23–25, 1979.Google Scholar
  5. 5.
    Jameson, Antony, “Iterative Solution of Transonic Flows over Airfoils and Wings including Flows at Mach 1,” Comm. Pure and Appl. Math. Vol 27, pp. 283–309, 1974.MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Jameson, Antony and Caughey, D.A., “Numerical Calculation of the Transonic Flow past a Swept Wing,” New York University ERDA Report COO-3077–140, June 1977.Google Scholar
  7. 7.
    Caughey, D.A. and Jameson, Antony, “Accelerated Iterative Calculation of Transonic Nacelle Flowfields,” AIAA Journal Vol. 15, pp. 1474–1480, October 1977.ADSMATHCrossRefGoogle Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1981

Authors and Affiliations

  • Antony Jameson
    • 1
  • D. A. Caughey
    • 2
  • W. H. Jou
    • 3
  • John Steinhoff
    • 4
  • Richard Pelz
    • 1
  1. 1.New York UniversityNew YorkUSA
  2. 2.Cornell Univ.IthacaUSA
  3. 3.Flow Research, Inc.KentUSA
  4. 4.Grumman Aerospace Corp.BethpageUSA

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