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

  • R. Temam
Invited lectures

DOI: 10.1007/3-540-51048-6_7

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

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • R. Temam
    • 1
    • 2
  1. 1.Laboratoire d'Analyse NumériqueUniversité Paris-SudOrsayFrance
  2. 2.Institute for Applied Mathematics and Scientific ComputingBloomingtonUSA

Personalised recommendations