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)


Euler Equation Coarse Grid Fine Grid Transonic Flow Local Truncation Error 
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  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
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    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
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    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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