### Abstract

Using direct numerical simulation of turbulence in a periodic box driven by homogeneous forcing, with a maximum of 4096^{3} grid points and Taylor micro-scale Reynolds numbers R_{λ} up to 1131, it is shown that there is a transition in the forms of the significant, high vorticity, intermittent structures, from isolated vortices when R_{λ} is less than 10^{2} to complex thin-shear layers when R_{λ} exceeds about 10^{3}. Both the distance between the layers and their widths are comparable with the integral length scale. The thickness of each of the layers is of the order of the Taylor micro-scale λ. Across the layers the velocity 'jumps' are of the order of the rms velocity u_{o} of the whole flow. Within the significant layers, elongated vortical eddies are generated, with microscale thickness ℓ_{ν} ∼ 10η << λ, with associated peak values of vorticity as large as 35ω_{rms} and with velocity jumps as large as 3.4u_{o}, where η is the Kolmogorov micro scale and ω_{rms} the rms vorticity. The dominant vortical eddies in the layers, which are approximately parallel to the vorticity averaged over the layers, are separated by distances of order ℓ_{ν}. The close packing leads to high average energy dissipation inside the layer, as large as ten times the mean rate of energy dissipation over the whole flow. The interfaces of the layers act partly as a barrier to the fluctuations outside the layer. However, there is a net energy flux into the small scale eddies within the thin layers from the larger scale motions outside the layer.

Original language | English |
---|---|

Pages (from-to) | 895-929 |

Number of pages | 35 |

Journal | Flow, Turbulence and Combustion |

Volume | 91 |

Issue number | 4 |

DOIs | |

Publication status | Published - Sep 6 2013 |

Externally published | Yes |

### Fingerprint

### Keywords

- High Reynolds number turbulence
- Intermittency
- Thin shear layers

### ASJC Scopus subject areas

- Chemical Engineering(all)
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry

### Cite this

*Flow, Turbulence and Combustion*,

*91*(4), 895-929. https://doi.org/10.1007/s10494-013-9499-z

**Thin shear layers in high reynolds number turbulence - DNS results.** / Ishihara, Takashi; Kaneda, Yukio; Hunt, Julian C.R.

Research output: Contribution to journal › Article

*Flow, Turbulence and Combustion*, vol. 91, no. 4, pp. 895-929. https://doi.org/10.1007/s10494-013-9499-z

}

TY - JOUR

T1 - Thin shear layers in high reynolds number turbulence - DNS results

AU - Ishihara, Takashi

AU - Kaneda, Yukio

AU - Hunt, Julian C.R.

PY - 2013/9/6

Y1 - 2013/9/6

N2 - Using direct numerical simulation of turbulence in a periodic box driven by homogeneous forcing, with a maximum of 40963 grid points and Taylor micro-scale Reynolds numbers Rλ up to 1131, it is shown that there is a transition in the forms of the significant, high vorticity, intermittent structures, from isolated vortices when Rλ is less than 102 to complex thin-shear layers when Rλ exceeds about 103. Both the distance between the layers and their widths are comparable with the integral length scale. The thickness of each of the layers is of the order of the Taylor micro-scale λ. Across the layers the velocity 'jumps' are of the order of the rms velocity uo of the whole flow. Within the significant layers, elongated vortical eddies are generated, with microscale thickness ℓν ∼ 10η << λ, with associated peak values of vorticity as large as 35ωrms and with velocity jumps as large as 3.4uo, where η is the Kolmogorov micro scale and ωrms the rms vorticity. The dominant vortical eddies in the layers, which are approximately parallel to the vorticity averaged over the layers, are separated by distances of order ℓν. The close packing leads to high average energy dissipation inside the layer, as large as ten times the mean rate of energy dissipation over the whole flow. The interfaces of the layers act partly as a barrier to the fluctuations outside the layer. However, there is a net energy flux into the small scale eddies within the thin layers from the larger scale motions outside the layer.

AB - Using direct numerical simulation of turbulence in a periodic box driven by homogeneous forcing, with a maximum of 40963 grid points and Taylor micro-scale Reynolds numbers Rλ up to 1131, it is shown that there is a transition in the forms of the significant, high vorticity, intermittent structures, from isolated vortices when Rλ is less than 102 to complex thin-shear layers when Rλ exceeds about 103. Both the distance between the layers and their widths are comparable with the integral length scale. The thickness of each of the layers is of the order of the Taylor micro-scale λ. Across the layers the velocity 'jumps' are of the order of the rms velocity uo of the whole flow. Within the significant layers, elongated vortical eddies are generated, with microscale thickness ℓν ∼ 10η << λ, with associated peak values of vorticity as large as 35ωrms and with velocity jumps as large as 3.4uo, where η is the Kolmogorov micro scale and ωrms the rms vorticity. The dominant vortical eddies in the layers, which are approximately parallel to the vorticity averaged over the layers, are separated by distances of order ℓν. The close packing leads to high average energy dissipation inside the layer, as large as ten times the mean rate of energy dissipation over the whole flow. The interfaces of the layers act partly as a barrier to the fluctuations outside the layer. However, there is a net energy flux into the small scale eddies within the thin layers from the larger scale motions outside the layer.

KW - High Reynolds number turbulence

KW - Intermittency

KW - Thin shear layers

UR - http://www.scopus.com/inward/record.url?scp=84892369286&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892369286&partnerID=8YFLogxK

U2 - 10.1007/s10494-013-9499-z

DO - 10.1007/s10494-013-9499-z

M3 - Article

AN - SCOPUS:84892369286

VL - 91

SP - 895

EP - 929

JO - Flow, Turbulence and Combustion

JF - Flow, Turbulence and Combustion

SN - 1386-6184

IS - 4

ER -