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Statistics of Scalar Fields in the Atmospheric Boundary Layer

Based on Large-Eddy Simulations of Free and Forced Convection

 

 

Zbigniew W. Sorbjan

Department of Physics

Marquette University

Milwaukee, Wisconsin

 

Free and forced convection in a quasi-steady atmospheric boundary layer is investigated based on a large-eddy simulation (LES) model.

 

The performed simulations show that in the upper portion of the mixed layer, the dimensionless (in terms of the mixed layer scales) vertical gradients of temperature, humidity, and wind velocity depend on the dimensionless height z/zi and the Reech number Rn = (zi Ni/w*)2, where Ni is the Brunt-Vaisala frequency . The peak values of variances and covariances at the top of the mixed layer, scaled in terms of the interfacial scales depend on of 1/Ri, where Ri is the interfacial Richardson number. As a result, expressions for the entrainment rates, in the case when the interfacial layer has a finite depth, and a condition for the presence of moistening or drying regimes in the mixed layer, are derived. 

 

Profiles of dimensionless scalar moments in the mixed layer are proposed to be expressed in terms of two empirical similarity functions Fm and Fi, dependent on dimensionless height z/zi, and 1/Ri. The obtained similarity expressions adequately approximate the LES profiles of scalar statistics, and properly represent the impact of stability, shear, and entrainment. They are consistent for both free and forced convection.

 

 

Tuesday, 18 October 2005, 3:30 PM

Refreshments 3:15 PM

NCAR-Foothills Laboratory

3450 Mitchell Lane

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