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Hybrid Schwarz-Multigrid Methods for the Spectral Element Method: Extensions to Navier-Stokes

  • Paul F. Fischer
  • James W. Lottes
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)

Summary

The performance of multigrid methods for the standard Poisson problem and for the consistent Poisson problem arising in spectral element discretizations of the Navier-Stokes equations is investigated. It is demonstrated that overlapping additive Schwarz methods are effective smoothers, provided that the solution in the overlap region is weighted by the inverse counting matrix. It is also shown that spectral element based smoothers are superior to those based upon finite element discretizations. Results for several large 3D Navier-Stokes applications are presented.

Keywords

Multigrid Method Spectral Element Iteration Count Spectral Element Method Hairpin Vortex 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Paul F. Fischer
    • 1
  • James W. Lottes
    • 2
  1. 1.Argonne National LaboratoryMathematics and Computer Science DivisionArgonne
  2. 2.Dept. of Theoretical and Applied MechanicsUniversity of Illinois

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