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Two new techniques for generating exactly incompressible approximate velocities

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Computational Fluid Dynamics 2006

Abstract

We consider the problem of generating exactly incompressible finite element approximations of the velocity, that is, of approximations which are pointwise divergence-free inside each element and whose normal component is continuous across inter-element boundaries. This problem has remained open since the beginning of the finite element simulation of incompressible fluid flow and has only been recently solved by means of two techniques: The first is a post-processing technique and the second a hybridization procedure. This paper is a short review of these techniques.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

    Bernardo Cockburn

Authors
  1. Bernardo Cockburn
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Correspondence to Bernardo Cockburn .

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Editors and Affiliations

  1. Dynamique des Fluides, Institut von Karman de, Chaussee de Waterloo 72, Rhode-St.-Genese, 1640, Belgium

    Herman Deconinck

  2. Fac. Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, Gent, 9000, Belgium

    E. Dick

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© 2009 Springer-Verlag Berlin Heidelberg

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Cockburn, B. (2009). Two new techniques for generating exactly incompressible approximate velocities. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_1

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

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