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R-Transforming Smoothers for the Incompressible Navier-Stokes Equations

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Numerical Treatment of the Navier-Stokes Equations

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 30 5))

Summary

In the present paper we discuss several features of r-transforming smoothers for the incompressible steady-state Navier-Stokes equations in two dimensions. So we compare the influence of different artificial boundary conditions on the numerical performance of the TI-LU method from [8]. Further, we apply ILU from [9] in the r-transforming framework and obtain a reasonable improvement of the SIMPLE method by that. Finally we compare the efficiency of the DGS/TILU method and the SIMPLE methods. All comparisons are based on a standard driven cavity test problem.

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References

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Author information

Authors and Affiliations

  1. Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D-6900, Heidelberg, Germany

    Gabriel Wittum

Authors
  1. Gabriel Wittum
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Editor information

Editors and Affiliations

  1. Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Olshausenstraße 40, D-2300, Kiel 1, Germany

    Wolfgang Hackbusch

  2. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 293/294, D-6900, Heidelberg, Germany

    Rolf Rannacher

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© 1990 Springer Fachmedien Wiesbaden

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Wittum, G. (1990). R-Transforming Smoothers for the Incompressible Navier-Stokes Equations. In: Hackbusch, W., Rannacher, R. (eds) Numerical Treatment of the Navier-Stokes Equations. Notes on Numerical Fluid Mechanics (NNFM), vol 30 5. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14004-7_15

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  • DOI: https://doi.org/10.1007/978-3-663-14004-7_15

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-07630-6

  • Online ISBN: 978-3-663-14004-7

  • eBook Packages: Springer Book Archive

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