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Dynamic multilevel methods and non-homogeneous turbulence

  • Incompressible Flows And Turbulence
  • Conference paper
  • First Online:
Sixteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 515))

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Abstract

Multilevel methods have been used in the numerical simulation of turbulent flows. The separation of scales can lead to different strategies, such as large eddy simulation or adaptative schemes for example. The large eddy simulation propose to resolve the large scale equation, by modeling the subgrid stress tensor. Multilevel methods propose a different approach: by analyzing the time and space behavior of the different scales, we propose to compute them differently.

In this paper, we describe the strategy in the case of non-homogeneous turbulence (the channel flow problem), after giving some results for the one-dimensional Burgers equation.

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References

  • Dubois T., Jauberteau F. and Temam R., Incremental unknowns, multilevel methods and the numerical simulation of turbulence. Computer Methods in Applied Mechanics and Engineering, to appear.

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  • Kim J., Moin P. and Moser R., Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech., 177, 133–166 (1987).

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  • Shen J., Efficient spectral-Galerkin method I: direct solvers of second and fourth-order equations using Legendre polynomials. SIAM Journal on Scientific Computing, 15(6), 1489–1505 (1995).

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université Blaise Pascal and CNRS (UMR 6620), 63177, Aubière cedex, France

    F. Bouchon, T. Dubois & F. Jauberteau

Authors
  1. F. Bouchon
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  2. T. Dubois
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  3. F. Jauberteau
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Editor information

Charles-Henri Bruneau

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© 1998 Springer-Verlag

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Bouchon, F., Dubois, T., Jauberteau, F. (1998). Dynamic multilevel methods and non-homogeneous turbulence. In: Bruneau, CH. (eds) Sixteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0106571

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  • DOI: https://doi.org/10.1007/BFb0106571

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65153-6

  • Online ISBN: 978-3-540-49540-6

  • eBook Packages: Springer Book Archive

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