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Dynamical systems, turbulence and the numerical solution of the Navier-Stokes equations

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11th International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 323))

Abstract

In this article we have presented a new discretization algorithm called the nonlinear Galerkin method. The algorithm seems robust and well suited for large time integration of the Navier-Stokes equations. The preliminary numerical tests show a substantial gain in computing time. Further numerical experiments and the extension of the method to other equations and to other forms of discretization (finite elements, finite difference...) will be presented elsewhere.

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Authors and Affiliations

  1. Laboratoire d'Analyse Numérique, Université Paris-Sud, Bâtiment 425, 91405, Orsay, France

    R. Temam

  2. Institute for Applied Mathematics and Scientific Computing, Bloomington, Indiana, USA

    R. Temam

Authors
  1. R. Temam
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Editor information

D. L. Dwoyer M. Y. Hussaini R. G. Voigt

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© 1989 Springer-Verlag

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Temam, R. (1989). Dynamical systems, turbulence and the numerical solution of the Navier-Stokes equations. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_7

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  • DOI: https://doi.org/10.1007/3-540-51048-6_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51048-2

  • Online ISBN: 978-3-540-46141-8

  • eBook Packages: Springer Book Archive

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