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LES Sub-Grid Diffusion for Lagrangian Particles

[+] Author Affiliations
Michael Rybalko, Eric Loth

University of Illinois at Urbana-Champaign, Urbana, IL

Dennis Lankford

Aerospace Testing Alliance, Arnold AFB, TN

Paper No. FEDSM2008-55207, pp. 147-157; 11 pages
doi:10.1115/FEDSM2008-55207
From:
  • ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences
  • Volume 1: Symposia, Parts A and B
  • Jacksonville, Florida, USA, August 10–14, 2008
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-4840-1 | eISBN: 0-7918-3832-3
  • Copyright © 2008 by ASME

abstract

A continuous random walk (CRW) turbulent diffusion model was developed for Lagrangian particles within flow fields simulated by hybrid RANS/LES methodologies. For RANS flow-fields, the conventional time-scale and length-scale constants were determined by the turbulence intensity and dissipation values computed by the single-phase solver with a k-ω (Menter SST) model and subsequent comparison with turbulent particle diffusion experimental results of Snyder & Lumley (1971). This allowed validation against data for four particle types ranging from hollow glass to copper shot in grid-generated turbulence. The stochastic diffusion model was then extended to utilize the Nichols-Nelson k-ω hybrid RANS-LES turbulence model in a more complex turbulent flow resulting from the unsteady, three dimensional wake of a cylinder at Mach number of 0.1 and Reynolds number (ReD ) of 800. The gas flow was computed with a 5th -order upwind-biased scheme. Throughout the wake, the sub-grid random walk model yielded good predictions of particle diffusion as compared with DNS. Also, these results indicate that crossing trajectory effects and inertia-based drift corrections are critical to handling a variety of particle Stokes numbers as well as regions of non-homogeneous turbulence, even when most of the kinetic energy is captured with the resolved-scales of an LES approach.

Copyright © 2008 by ASME

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