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A higher-order multidimensional upwind solution-adaptive multigrid solver for compressible flows

  • L. A. Catalano
  • P. De Palma
  • G. Paseazio
  • M. Napolitano
3. Numerical Methods for Aerodynamic Design d) Euler/Navier-Stokes Equations
Part of the Lecture Notes in Physics book series (LNP, volume 453)

Abstract

A solution-adaptive local-refinement multigrid strategy previously developed for a simple-wave model of the Euler equations has been extended to two newly developed higher-order-accurate characteristic decomposition methods for the solution of steady inviscid compressible flows. Numerical results show that the new methodology provides a significant accuracy improvement with respect to the simple-wave approach, at the expense of a reduced multigrid convergence rate. While further improvements are warranted, the new method, thanks to its second-order spatial accuracy and very low entropy generation, appears to be well suitable for computing viscous flows.

Keywords

Mach Number Supersonic Flow Subsonic Flow Compatibility Equation Turbine Rotor Blade 
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References

  1. [1]
    H. Deconinck et al.: CWI-Quarterly 6-1 1 (1993)Google Scholar
  2. [2]
    P. L. Roe: J. of Comp. Phys. 63 458 (1986)CrossRefGoogle Scholar
  3. [3]
    H. Deconinck et al.: Lecture Notes in Physics 264 216 (1986)Google Scholar
  4. [4]
    R. Struijs et al.: VKI LS 1991-01 (1991)Google Scholar
  5. [5]
    A. Brandt: Lecture Notes in Mathematics 960 220 (1982)Google Scholar
  6. [6]
    L. A. Catalano, H. Deconinck: TN-173, von Karman Institute (1990)Google Scholar
  7. [7]
    L. A. Catalano et al.: Notes on Numerical Fluid Mechanics 35 69 (1992)Google Scholar
  8. [8]
    L. A. Catalano et al.: Lecture Notes in Physics 414 90 (1993)Google Scholar
  9. [9]
    L. A. Catalano et al.: 5th European Multigrid Conference, CWI (1993)Google Scholar
  10. [10]
    L. A. Catalano et al.: 5th ISCFD, Sendai (1993)Google Scholar
  11. [11]
    H. Paillére et al.: AIAA Paper 93-3301 (1993)Google Scholar
  12. [12]
    H. Deconinck et al.: VKI LS 1994-05 (1994)Google Scholar
  13. [13]
    P. W. Hemker et al.: Report NM-R9014 (1990)Google Scholar
  14. [14]
    L. A. Catalano et al.: AIAA Paper 94-0076 (1994)Google Scholar
  15. [15]
    R. Kiock et al.: J. Eng. for Gas Turbines and Power 108 277 (1986)Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • L. A. Catalano
    • 1
  • P. De Palma
    • 1
  • G. Paseazio
    • 1
  • M. Napolitano
    • 1
  1. 1.Politecnico di BariIstituto di Macchine ed EnergeticaBariItaly

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