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A comparison of finite element schemes for the incompressible Navier–Stokes equations

  • Kristian Valen-Sendstad
  • Anders Logg
  • Kent-Andre Mardal
  • Harish Narayanan
  • Mikael Mortensen
Chapter
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 84)

Abstract

Numerical algorithms for the computation of fluid flow have been an active area of research for 12062 several decades and still remain an important field to study. As a result, there exists a large literature 12063 on discretization schemes for the incompressible Navier–Stokes equations, and it can be hard to 12064 judge which method works best for any particular problem. Furthermore, since the development of 12065 any particular discretization scheme is often a long process and tied to a specific implementation, 12066 comparisons of different methods are seldom made.

Keywords

Test Problem Stokes Equation Stream Function Dirichlet Boundary Condition Element Scheme 
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 2012

Authors and Affiliations

  • Kristian Valen-Sendstad
    • 1
  • Anders Logg
    • 2
    • 3
  • Kent-Andre Mardal
    • 2
    • 3
  • Harish Narayanan
    • 3
  • Mikael Mortensen
    • 4
  1. 1.Simula School of Research and InnovationCenter for Biomedical Computing at Simula Research LaboratoryOsloNorway
  2. 2.Center for Biomedical Computing at Simula Research LaboratoryOsloNorway
  3. 3.Department of InformaticsUniversity of OsloOsloNorway
  4. 4.Norwegian Defence Research Establishment (FFI)KjellerNorway

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