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Common periodic behavior in larger and larger truncations of the Navier-Stokes equations

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Abstract

The periodic behavior ofN-mode truncations of the Navier-Stokes equations on a two-dimensional torus is studied forN=44, 60, 80, and 98. Significant common features are found, particularly for not too high Reynolds numbers. In all models periodicity ends, giving rise, though at quite different parameter values, to quasiperiodicity.

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Authors and Affiliations

  1. Dipartimento di Matematica Pura ed Applicata, Universitá di Modena, 41100, Modena, Italy

    Valter Franceschini, Claudio Giberti & Marco Nicolini

Authors
  1. Valter Franceschini
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  2. Claudio Giberti
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  3. Marco Nicolini
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Franceschini, V., Giberti, C. & Nicolini, M. Common periodic behavior in larger and larger truncations of the Navier-Stokes equations. J Stat Phys 50, 879–896 (1988). https://doi.org/10.1007/BF01019145

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