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Application of the lattice Boltzmann method to transition in oscillatory channel flow

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  • J. A. Cosgrove
  • Dr James Buick
  • S. J. Tonge
  • C. G. Munro
  • C. A. Greated
  • D. M. Campbell
In this study the applicability of the lattice Boltzmann method to oscillatory channel flow with a zero mean velocity has been evaluated. The model has been compared to exact analytical solutions in the laminar case (Reδ < 100, where Reδ is the Reynolds number based on the Stokes layer) for the Womersley parameter 1 < α < 31. In this regime, there was good agreement between numerical and exact analytical solutions. The model was then applied to study the primary instability of oscillatory channel flow with a zero mean velocity. For these transitionary flows the parameters were varied in the range 400 < Reδ < 1000 and 4 < α < 16. Disturbances superimposed on the numerical solution triggered the two-dimensional primary instability. This phenomenon has not been numerically evaluated over the range of α or Reδ currently investigated. The results are consistent with quasi-steady linear stability theories and previous numerical investigations.
Original languageEnglish
Pages (from-to)2609-2620
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number10
Early online date26 Feb 2003
DOIs
Publication statusPublished - 14 Mar 2003

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    Rights statement: Journal of Physics A: Mathematical and General © Copyright (2003) IOP Publishing Ltd. “This is an author-created, un-copyedited version of an article accepted for publication in [insert name of journal]. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/0305-4470/36/10/320."

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