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Multigrid Methods III pp 167–177Cite as

Birkhäuser

Solution of 3-D Problems using Overlapping Grids and Multi-Grid Methods

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Abstract

Recent extensions of a Multi-grid method for calculating flows in stationary and moving geometries is described. The governing equations are discretized on a system of overlapping grids. Local grid-refinements can be included interactively. New local grids are topologically derived from the given grids. The grid refinement (mesh halving) may be done isotropically (all directions) or non-isotropically (refinement only along one coordinate line). The later scheme is mostly useful in adaptively localizing thin layers such as boundary layers. The discrete equations are solved by a Multi-grid method. The overlapping grid system (and also the local grids) require information exchange among the different sub-grids. This exchange can be made rather efficient if done as integral part of the Multi-grid process. This Multi-Grid method on overlapping systems of grid have been applied for the solution of some viscous flow problems.

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Author information

Authors and Affiliations

  1. Department of Gasdynamics, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Laszlo Fuchs

  2. Scientific & Technical Computing, IBM Svenska AB, Stockholm, Sweden

    Laszlo Fuchs

Authors
  1. Laszlo Fuchs
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Editor information

Editors and Affiliations

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

    W. Hackbusch

  2. Gesellschaft für Mathematik und Datenverarbeitung mbH, Postfach 1240, Schloss Birlinghoven, D-5205, Sankt Augustin 1, Germany

    U. Trottenberg

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© 1991 Springer Basel AG

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Fuchs, L. (1991). Solution of 3-D Problems using Overlapping Grids and Multi-Grid Methods. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods III. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5712-3_11

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  • DOI: https://doi.org/10.1007/978-3-0348-5712-3_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5714-7

  • Online ISBN: 978-3-0348-5712-3

  • eBook Packages: Springer Book Archive

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