Derivation of turbulent kinetic energy from a first-order nonlocal planetary boundary layer parameterization

Hyeyum Hailey Shin, Song You Hong, Yign Noh, Jimy Dudhia

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17 Citations (Scopus)


Turbulent kinetic energy (TKE) is derived from a first-order planetary boundary layer (PBL) parameterization for convective boundary layers: the nonlocal K-profile Yonsei University (YSU) PBL. A parameterization for the TKE equation is developed to calculate TKE based on meteorological profiles given by the YSU PBL model. For this purpose buoyancy- and shear-generation terms are formulated consistently with the YSU scheme-that is, the combination of local, nonlocal, and explicit entrainment fluxes. The vertical transport term is also formulated in a similar fashion. A length scale consistent with the K profile is suggested for parameterization of dissipation. Single-column model (SCM) simulations are conducted for a period in the second Global Energy and Water Cycle Experiment (GEWEX) Atmospheric Boundary Layer Study (GABLS2) intercomparison case. Results from the SCM simulations are compared with large-eddy simulation (LES) results. The daytime evolution of the vertical structure of TKE matches well with mixed-layer development. The TKE profile is shaped like a typical vertical velocity (w) variance, and its maximum is comparable to that from the LES. By varying the dissipation length from 223% to 113% the TKE maximum is changed from about 215% to 17%. After normalization, the change does not exceed the variability among previous studies. The location of TKE maximum is too low without the effects of the nonlocal TKE transport.

Original languageEnglish
Pages (from-to)1795-1805
Number of pages11
JournalJournal of the Atmospheric Sciences
Issue number6
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atmospheric Science


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