Velocity Spectra in the Unstable Planetary Boundary Layer

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  • 1 Department of Meteorology, The Pennsylvania State University, University Park, PA 16802
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Abstract

Models for velocity spectra of all three components in the lower half of the unstable PBL are presented. The model spectra are written as a sum of two parts, nS(n) = A(fi, z/zi)w*2 + B(f, z/zi)u*02, a mixed layer part with a stability dependence, and a surface layer part without stability dependence and with negligible influence of z/zi in B in the surface layer; A is independent of z/zi for the horizontal components. The model agrees very well with data for variances, peak frequencies and spectra from the Kansas and Minnesota experiments. Requirements for models of spectra in the upper half of the PBL are outlined qualitatively only.

Abstract

Models for velocity spectra of all three components in the lower half of the unstable PBL are presented. The model spectra are written as a sum of two parts, nS(n) = A(fi, z/zi)w*2 + B(f, z/zi)u*02, a mixed layer part with a stability dependence, and a surface layer part without stability dependence and with negligible influence of z/zi in B in the surface layer; A is independent of z/zi for the horizontal components. The model agrees very well with data for variances, peak frequencies and spectra from the Kansas and Minnesota experiments. Requirements for models of spectra in the upper half of the PBL are outlined qualitatively only.

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