Vortex Breakdown Simulation Based on a Nonlinear Inviscid Model

  • M. M. Hafez
  • M. D. Salas
Conference paper
Part of the ICASE NASA LaRC Series book series (ICASE/NASA)


It is shown that the inviscid equations governing steady axisymmetric flow with swirl, admit solutions with closed streamlines. Results are obtained using two different numerical algorithms. The first is based on a multigrid method for nonlinear eigenvalue problems, while the second is based on a least squares formulation.


Vortex Ring Multigrid Method Vortex Breakdown Nonlinear Eigenvalue Problem Artificial Viscosity 
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  1. 1.
    Leibovish, S., AlAA J., Vol. 22, No.9, 1984, pp. 1192.ADSGoogle Scholar
  2. 2.
    Grabowski, W., and Berger, S.,. JRM, Vol. 75, 1976, pp. 525.MATHGoogle Scholar
  3. 3.
    Krause, E., AlAA Paper 83–1907, 1983.Google Scholar
  4. 4.
    Benjamin, T. B., JFM, Vol. 23, 1966, pp. 241.ADSGoogle Scholar
  5. 5.
    Bossel, H. H., Ph.D. Thesis, University of Calif., Berkelely, 1967.Google Scholar
  6. 6.
    Ta’asan, S., “A Multigrid Method for Vortex Breakdown Simulation”, ICASE Report to appear.Google Scholar
  7. 7.
    Hafez, M., Kuruvila, G. and Salas, M., “A Numerical Study of Vortex Breakdown”, to be presented at AIAA Aerospace Sciences Meeting, Reno, 1986.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • M. M. Hafez
  • M. D. Salas

There are no affiliations available

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