## 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 language | English |
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Publication status | Published - 2015 |

Externally published | Yes |

Event | 15th European Turbulence Conference, ETC 2015 - Delf, Netherlands Duration: Aug 25 2015 → Aug 28 2015 |

### Conference

Conference | 15th European Turbulence Conference, ETC 2015 |
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Country/Territory | Netherlands |

City | Delf |

Period | 8/25/15 → 8/28/15 |

## ASJC Scopus subject areas

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