Invariant solutions in large eddy simulation of homogeneous shear turbulence

Atsushi Sekimoto, Javier Jiménez

Research output: Contribution to conferencePaperpeer-review

Abstract

The unstable invariant solutions in the large eddy simulation of homogeneous shear turbulence with vanishing kinematic viscosity are obtained by Newton-Krylov-hookstep method. The small scale is represented by the standard Smagorinsky model with a constant Cs. It is shown that these solutions appear by a saddle-node bifurcation as decreasing Cs and have the same symmetry with Nagata’s equilibrium solution in Couette flow (JFM 217, 519-527 (1990)). Both lower- and upper- branch solutions are characterized by staggered streamwise-inclined vortex pairs. Also, lower-branch solutions are localized in the vertical direction, while upper-branch solutions are characterized by taller flow structures, which is consistent with the asymptotic theory of any shear flow at high-Reynolds numbers (K. Deguchi & P. Hall, Phil. Trans. R. Soc A, 372:20130352 (2014)).

Original languageEnglish
Publication statusPublished - 2015
Externally publishedYes
Event15th European Turbulence Conference, ETC 2015 - Delf, Netherlands
Duration: Aug 25 2015Aug 28 2015

Conference

Conference15th European Turbulence Conference, ETC 2015
Country/TerritoryNetherlands
CityDelf
Period8/25/158/28/15

ASJC Scopus subject areas

  • Atmospheric Science
  • Geophysics
  • Astronomy and Astrophysics
  • Acoustics and Ultrasonics

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