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

N1 - Funding Information:
Acknowledgments The HATS data were collected by NCAR’s Integrated Surface Flux Facility. The authors gratefully acknowledge the support by the National Science Foundation, Grant AGS-0638385. The authors

PY - 2012/9

Y1 - 2012/9

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.

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U2 - 10.1007/s10546-011-9618-0

DO - 10.1007/s10546-011-9618-0

M3 - Article

AN - SCOPUS:84865977480

SN - 0006-8314

VL - 145

SP - 69

EP - 91

JO - Boundary-Layer Meteorology

JF - Boundary-Layer Meteorology

IS - 1

ER -