Transonic Flow Computation by a Multi-Grid Method

  • Laszlo J. Fuchs
Part of the Notes on Numerical Fluid Mechanics book series (NONUFM, volume 3)


Steady-state flow problems are solved as a rule by some iterative technique. Relaxation methods are the most common ones. The multi-grid (MG) technique can be considered as a variant of a usual relaxation strategy even though it differs conceptually from the latter. The multi-grid method (MGM) has been first applied to transonic problems by Brandt and the present author. A refined and efficient version of this method is described in details by Fuchs M. A short review of the MGM is given here. Other applications and developments of the MGM are described by Brandt [2] and the references in that paper.


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  1. 1.
    Fuchs, L.J.: Finite difference methods for plane steady inviscid transonic flows. TRITA-GAD-2, 1977Google Scholar
  2. 2.
    Brandt, A.: Multi-level adaptive computations in fluid dynamics. AIAA paper No 79 - 1455, 1979Google Scholar
  3. 3.
    Murman, E.M. and Cole J.P.: Calculation of plane steady transonic flows. AIAA Journal No, pp. 114 - 121, 1971Google Scholar
  4. 4.
    Langley, M.J.: Numerical methods for two-dimensional and axisymmetric transonic flows, Aeronautical Research Council, C.P. No 1376, 1977Google Scholar
  5. 5.
    Murman, E.M. and Cole, J.D.: Inviscid drag at transonic speeds. AIAA paper No. 74 - 540, 1974Google Scholar
  6. 6.
    Murman, E.M.: Analysis of embeded shock waves calculated by relaxation methods. AIAA Journal Vol. 12, pp 626 - 633. 1974ADSzbMATHCrossRefGoogle Scholar
  7. 7.
    Klunker, E.B.: Contribution to methods for calculating the flow about thin lifting wings at transonic speeds - analytical expressions for the far-field NASA TN D-6530, 1971Google Scholar
  8. 8.
    Fuchs, L.J.: On the accuracy of numerical solutions of transonic Problem, to appear, 1979Google Scholar
  9. 9.
    Brandt, A.: Multi-level adaptive solution to boundary value problems. Math. of Comp. vol. 31, pp. 333 - 380, 1977zbMATHCrossRefGoogle Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1981

Authors and Affiliations

  • Laszlo J. Fuchs
    • 1
  1. 1.Department of GasdynamicsThe Royal Institute of TechnologyStockholmSweden

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