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A new model for the CBL growth based on the turbulent kinetic energy equation |
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| Authors: | Antonio G Goulart Davidson M Moreira Marco T Vilhena Gervásio A Degrazia Sergej S Zilitinkevich |
| Institution: | (1) Centro de Tecnologia de Alegrete, UNIPAMPA/UFSM, Alegrete, 97541–300, Brazil;(2) Centro de Ciências Exatas e Tecnológicas, UNIPAMPA/UFPEL, Bage, Brazil;(3) Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil;(4) Departamento de Física, Universidade Federal de Santa Maria, Santa Maria, Brazil;(5) Division of Atomospheric Sciences, Department of Physical Sciences, University of Helsinki and Finnish Meteorological Institute, Helsinki, Finland |
| Abstract: | Starting from the evolution equation for the turbulent energy density spectrum (EDS), we develop a new model for the growth of the Convective boundary layer (CBL). We apply dimensional analysis to parameterize the unknown inertial transport and convective source term in the dynamic equation for the three-dimensional (3-D) spectrum and solve the 3-D EDS equation. The one-dimensional vertical spectrum is derived from the 3-D spectrum, employing a weight function. This allows us to select the magnitude of the vertical spectral component for the construction of the growing 3-D EDS. Furthermore, we employ the vertical component of the energy spectrum to calculate the eddy diffusivity (required in dispersion models). Currently there are no available experimental data to directly verify our EDS model. |
| Keywords: | Convective boundary layer Turbulent kinetic energy Turbulence parameterization Eddy diffusivity Dispersion model |
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