TY - JOUR

T1 - Turbulent pressure statistics in the atmospheric boundary layer from large-eddy simulation

AU - Miles, Natasha L.

AU - Wyngaard, John C.

AU - Otte, Martin J.

N1 - Funding Information:
This work was supported in part by the United States Department of the Army through Subcontract #01-11-021 from the National Center for Physical Acoustics at the University of Mississippi. Thoughtful input from two anonymous reviewers was appreciated.

PY - 2004/11

Y1 - 2004/11

N2 - We use large-eddy simulation (LES) to study the turbulent pressure field in atmospheric boundary layers with free convection, forced convection, and stable stratification. We use the Poisson equation for pressure to represent the pressure field as the sum of mean-shear, turbulence-turbulence, subfilter-scale, Coriolis, and buoyancy contributions. We isolate these contributions and study them separately. We find that in the energy-containing range in the free-convection case the turbulence-turbulence pressure dominates over the entire boundary layer. That part dominates also up to midlayer in the forced-convection case; above that the mean-shear pressure dominates. In the stable case the mean-shear pressure dominates over the entire boundary layer. We find evidence of an inertial subrange in the pressure spectrum in the free and forced-convection cases; it is dominated by the turbulence-turbulence pressure and has a three-dimensional spectral constant of about 4.0. This agrees well with quasi-Gaussian predictions but is a factor of 2 less than recent results from direct numerical simulations at moderate Reynolds numbers. Measurements of the inertial subrange pressure spectral constant at high Reynolds numbers, which might now be possible, would be most useful.

AB - We use large-eddy simulation (LES) to study the turbulent pressure field in atmospheric boundary layers with free convection, forced convection, and stable stratification. We use the Poisson equation for pressure to represent the pressure field as the sum of mean-shear, turbulence-turbulence, subfilter-scale, Coriolis, and buoyancy contributions. We isolate these contributions and study them separately. We find that in the energy-containing range in the free-convection case the turbulence-turbulence pressure dominates over the entire boundary layer. That part dominates also up to midlayer in the forced-convection case; above that the mean-shear pressure dominates. In the stable case the mean-shear pressure dominates over the entire boundary layer. We find evidence of an inertial subrange in the pressure spectrum in the free and forced-convection cases; it is dominated by the turbulence-turbulence pressure and has a three-dimensional spectral constant of about 4.0. This agrees well with quasi-Gaussian predictions but is a factor of 2 less than recent results from direct numerical simulations at moderate Reynolds numbers. Measurements of the inertial subrange pressure spectral constant at high Reynolds numbers, which might now be possible, would be most useful.

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U2 - 10.1023/B:BOUN.0000039377.36809.1d

DO - 10.1023/B:BOUN.0000039377.36809.1d

M3 - Article

AN - SCOPUS:4344694072

SN - 0006-8314

VL - 113

SP - 161

EP - 185

JO - Boundary-Layer Meteorology

JF - Boundary-Layer Meteorology

IS - 2

ER -