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 -