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Permanence of large eddies in Richtmyer-Meshkov turbulence with a small Atwood number

Olivier Soulard*, Florian Guillois, and Jérôme Griffond

Vladimir Sabelnikov

Serge Simoëns

  • CEA, DAM, DIF, F-91297 Arpajon, France

  • ONERA, DMPE, F-91123 Palaiseau, France

  • École Centrale de Lyon, MFAE/LMFA, F-69134 Écully, France

  • *Corresponding author: olivier.soulard@cea.fr
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Phys. Rev. Fluids 3, 104603 – Published 11 October, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.104603

Abstract

The large-scale properties of a self-similar Richtmyer-Meshkov turbulent mixing zone with a small Atwood number and in an infinite domain are investigated. The existence of large-scale invariants is predicted for the velocity spectrum. By contrast, the concentration and concentration flux spectra do not display any such invariants. Their large-scale properties are instead controlled either by the velocity spectrum or by nonlinear backscattering processes depending on the initial conditions. The existence of large-scale invariants for the velocity spectrum allows one to relate the self-similar growth rate of the turbulent mixing zone to the infrared slope of the velocity spectrum. Besides, it also implies that large scales keep their initial anisotropy so that the return to isotropy of the turbulent mixing zone is only partial. Finally, it allows one to estimate the prefactors entering the power laws governing the decay of Richtmyer-Meshkov turbulence, the growth of its length scales, and its mixing level. The different assumptions and predictions of this work are verified by performing implicit large eddy simulations of a Richtmyer-Meshkov turbulent mixing zone.

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Phys. Rev. Fluids 3, 104603– Published 11 October, 2018
  • Received 26 March 2018
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