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An adaptive multigrid method for the euler equations

  • Marsha J. Berger
  • Antony Jameson
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 218)

Keywords

Euler Equation Coarse Grid Fine Grid Transonic Flow Local Truncation Error 
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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References

  1. [1]
    M. Berger and A. Jameson, “Automatic Adaptive Grid Refinement for the Euler Equations”, NYU Report No. DOE/ER/03077-202, October, 1983. To appear in AIAA Journal.Google Scholar
  2. [2]
    A. Jameson, “Solution of the Euler Equations for Two Dimensional Transonic Flow by a Multigrid Method”, MAE Report NO. 1613, June 1983, Applied Math. and Computation, 13 (1983), 327–356.CrossRefGoogle Scholar
  3. [3]
    J. Saltzman and J. Brackbill, “Applications and Generalizations of Variational Methods for Generating Adaptive Meshes”, in Numerical Grid Generation, J. Thompson, ed., North-Holland, 1982.Google Scholar
  4. [4]
    M. Rai and D. Anderson, “Grid Evolution in Time Asymptotic Problems”, J. Comp. Phys. 43 (1981), 327–344.CrossRefGoogle Scholar
  5. [5]
    W. Usab, Jr. and E. Murman, “Embedded Mesh Solutions of the Euler Equation Using a Multiple-grid Method”, AIAA Paper 83-1946-CP. Presented at the 6th AIAA Computational Fluid Dynamics Conference, Danvers, Mass. July 1983.Google Scholar
  6. [6]
    P. Collela and H. Glaz, “Numerical Computation of Complex Shock Reflections in Gases”. These proceedings.Google Scholar
  7. [7]
    M. Berger and J. Oliger, “Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations”, J. Comp. Phys. 53 (1984), 484–512.CrossRefGoogle Scholar
  8. [8]
    W. Hackbusch, “On The Mufti-Grid Method Applied to Difference Equations,” Computing, 20 (1978), 291–306.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Marsha J. Berger
    • 1
  • Antony Jameson
    • 2
  1. 1.Courant Institute of Mathematical SciencesNew York University New YorkUSA
  2. 2.Dept. of Mechanical and Aerospace EngineeringPrinceton UniversityPrincetonUSA

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