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The Navier-Stokes Equations II — Theory and Numerical Methods pp 167–183Cite as

On chorin's projection method for the incompressible navier-stokes equations

  • Numerical Methods
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1530))

Abstract

Pseudo-compressibility methods are frequently used in computational fluid dynamics in order to cope with the algebraic difficulties caused by the incompressibility constraint. A popular example is the pressure stabilization (Petrov-Galerkin) method of T.J.R. Hughes, et al., which can be applied to the stationary as well as to the nonstationary Navier-Stokes problem. Also the classical projection method of A.J. Chorin can be interpreted as a variant of this method. This observation sheds some new light on the approximation properties of the projection method, particularly for the pressure.

This work has been supported by the Deutsche Forschungsgemeinschaft, SFB 123, Universität Heidelberg. This paper is in final form and no similar paper has been or is being submitted elsewhere.

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References

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Authors and Affiliations

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

    Rolf Rannacher

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  1. Rolf Rannacher
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John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

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© 1992 Springer-Verlag

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Rannacher, R. (1992). On chorin's projection method for the incompressible navier-stokes equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090341

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  • DOI: https://doi.org/10.1007/BFb0090341

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56261-0

  • Online ISBN: 978-3-540-47498-2

  • eBook Packages: Springer Book Archive

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