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Direct numerical simulation of axisymmetric turbulence

Bo Qu, Wouter J. T. Bos, and Aurore Naso

  • Laboratoire de Mécanique des Fluides et d'Acoustique, CNRS, École Centrale de Lyon, Université de Lyon, INSA de Lyon, 36 avenue Guy de Collongue, 69134 Écully Cedex, France

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Phys. Rev. Fluids 2, 094608 – Published 25 September, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.094608

Abstract

The dynamics of decaying, strictly axisymmetric, incompressible turbulence is investigated using direct numerical simulations. It is found that the angular momentum is a robust invariant of the system. It is further shown that long-lived coherent structures are generated by the flow. These structures can be associated with stationary solutions of the Euler equations. The structures obey relations in agreement with predictions from selective decay principles, compatible with the decay laws of the system. Two different types of decay scenarios are highlighted. The first case results in a quasi-two-dimensional flow with a dynamical behavior in the poloidal plane similar to freely decaying two-dimensional turbulence. In a second regime, the long-time dynamics is dominated by a single three-dimensional mode.

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Phys. Rev. Fluids 2, 094608– Published 25 September, 2017
  • Received 20 March 2017

©2017 American Physical Society

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