### Abstract

A scale-similarity model to estimate the subfilter-scale energy using the trace of the Leonard stress tensor is proposed and evaluated for large-eddy simulations of the atmospheric boundary layer (ABL). The model is derived from a stability-dependent model of the energy spectrum in the ABL, which accounts for the effects of buoyancy and mean shear as a function of z/L, the Monin-Obukhov stability variable. An a priori test using ABL turbulence data demonstrates that the model has accurate performance for dimensionless filter widths of Δ/z = 2, 1, and 0. 5 for stabilities of -1 ≤ z/L ≤ 0. 5, and improves considerably upon a similar model that is derived using an infinite κ ^{-5/3} spectrum. This improvement is especially significant in the first several grid points near the surface in large-eddy simulations of the ABL, where Δ/z is necessarily large. The modelling procedure is then extended to develop a similarity model for the subfilter-scale scalar variance; it is shown to have robust performance for temperature.

Original language | English (US) |
---|---|

Pages (from-to) | 69-91 |

Number of pages | 23 |

Journal | Boundary-Layer Meteorology |

Volume | 145 |

Issue number | 1 |

DOIs | |

State | Published - Sep 1 2012 |

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### All Science Journal Classification (ASJC) codes

- Atmospheric Science

### Cite this

*Boundary-Layer Meteorology*,

*145*(1), 69-91. https://doi.org/10.1007/s10546-011-9618-0

}

*Boundary-Layer Meteorology*, vol. 145, no. 1, pp. 69-91. https://doi.org/10.1007/s10546-011-9618-0

**A Similarity Model of Subfilter-Scale Energy for Large-Eddy Simulations of the Atmospheric Boundary Layer.** / Salesky, Scott T.; Chamecki, Marcelo.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A Similarity Model of Subfilter-Scale Energy for Large-Eddy Simulations of the Atmospheric Boundary Layer

AU - Salesky, Scott T.

AU - Chamecki, Marcelo

PY - 2012/9/1

Y1 - 2012/9/1

N2 - A scale-similarity model to estimate the subfilter-scale energy using the trace of the Leonard stress tensor is proposed and evaluated for large-eddy simulations of the atmospheric boundary layer (ABL). The model is derived from a stability-dependent model of the energy spectrum in the ABL, which accounts for the effects of buoyancy and mean shear as a function of z/L, the Monin-Obukhov stability variable. An a priori test using ABL turbulence data demonstrates that the model has accurate performance for dimensionless filter widths of Δ/z = 2, 1, and 0. 5 for stabilities of -1 ≤ z/L ≤ 0. 5, and improves considerably upon a similar model that is derived using an infinite κ -5/3 spectrum. This improvement is especially significant in the first several grid points near the surface in large-eddy simulations of the ABL, where Δ/z is necessarily large. The modelling procedure is then extended to develop a similarity model for the subfilter-scale scalar variance; it is shown to have robust performance for temperature.

AB - A scale-similarity model to estimate the subfilter-scale energy using the trace of the Leonard stress tensor is proposed and evaluated for large-eddy simulations of the atmospheric boundary layer (ABL). The model is derived from a stability-dependent model of the energy spectrum in the ABL, which accounts for the effects of buoyancy and mean shear as a function of z/L, the Monin-Obukhov stability variable. An a priori test using ABL turbulence data demonstrates that the model has accurate performance for dimensionless filter widths of Δ/z = 2, 1, and 0. 5 for stabilities of -1 ≤ z/L ≤ 0. 5, and improves considerably upon a similar model that is derived using an infinite κ -5/3 spectrum. This improvement is especially significant in the first several grid points near the surface in large-eddy simulations of the ABL, where Δ/z is necessarily large. The modelling procedure is then extended to develop a similarity model for the subfilter-scale scalar variance; it is shown to have robust performance for temperature.

UR - http://www.scopus.com/inward/record.url?scp=84865977480&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865977480&partnerID=8YFLogxK

U2 - 10.1007/s10546-011-9618-0

DO - 10.1007/s10546-011-9618-0

M3 - Article

AN - SCOPUS:84865977480

VL - 145

SP - 69

EP - 91

JO - Boundary-Layer Meteorology

JF - Boundary-Layer Meteorology

SN - 0006-8314

IS - 1

ER -