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Lagrangian modeling of a nonhomogeneous turbulent shear flow: Molding homogeneous and isotropic trajectories into a jet

Bianca Viggiano1,*, Thomas Basset2, Mickaël Bourgoin2, Raúl Bayoán Cal3, Laurent Chevillard2,4, Charles Meneveau5, and Romain Volk2

  • 1Department of Mechanical Engineering, Polytechnique Montréal, Montréal, QC H3C3A7, Canada
  • 2Université Lyon, Ens de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, 46 Allée d'Italie F-69342 Lyon, France
  • 3Department of Mechanical Engineering, Portland State University, Portland, Oregon 97201, USA
  • 4Université Lyon, Université Claude Bernard Lyon 1, CNRS UMR 5208, Institut Camille Jordan, 43 Boulevard du 11 Novembre 1918, F-69622 Villeurbanne, France
  • 5Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA

  • *bianca.viggiano@polymtl.ca
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Phys. Rev. Fluids 9, 044604 – Published 9 April, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.044604

Abstract

Turbulence is prevalent in nature and industry, from large-scale wave dynamics to small-scale combustion nozzle sprays. In addition to the multiscale nonlinear complexity and both randomness and coherent structures in its dynamics, practical turbulence is often nonhomogeneous and anisotropic, leading to great modeling challenges. In this paper, an efficient model is proposed to predict turbulent jet statistics with high accuracy. The model leverages detailed knowledge of readily available velocity signals from idealized homogeneous turbulence and transforms them into Lagrangian trajectories of a turbulent jet. The resulting spatiotemporal statistics are compared against experimental jet data showing remarkable agreement at all scales. In particular, the intermittency phenomenon is accurately mapped by the model to this inhomogeneous situation, as observed by higher-order moments and velocity increment probability density functions. Crucial to the advancement of turbulence modeling, the transformation is simple to implement for the jet configuration, with possible extensions to other inhomogeneous flows such as wind turbine wakes and canopy flows, to name a few.

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Phys. Rev. Fluids 9, 044604– Published 9 April, 2024
  • Received 14 September 2023
  • Accepted 12 March 2024
Article part of CHORUS
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