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Multigrid solvers for steady Navier-Stokes equations in a driven cavity

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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

This work is devoted to solving steady Navier-Stokes equations in primitive variables in a 2D driven cavity. Two new robust upwind schemes are presented to approach the convection terms. The pressure and the velocity are discretized on staggered grids, the FMG-FAS algorithm is used with a block-implicit relaxation procedure to solve the whole system.

These schemes are stable and the obtained solutions are in good agreement with earlier numerical works. In addition with one of the two schemes for Re-10,000 the transition to turbulence is observed numerically.

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References

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Authors and Affiliations

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

    Ch. H. Bruneau, C. Jouron & L. B. Zhang

Authors
  1. Ch. H. Bruneau
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  2. C. Jouron
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  3. L. B. Zhang
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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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Bruneau, C.H., Jouron, C., Zhang, L.B. (1989). Multigrid solvers for steady Navier-Stokes equations in a driven cavity. 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_21

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  • DOI: https://doi.org/10.1007/3-540-51048-6_21

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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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