16th Symposium on Boundary Layers and Turbulence

P5.3

A non-local second-moment closure model applied to convective boundary layers

Carol Anne Clayson, Florida State University, Tallahassee, FL; and L. Kantha

Second moment closure is being increasingly invoked to model turbulent mixing. The most common form is a two-equation turbulence model where prognostic equations are solved for the turbulence kinetic energy as well as a quantity involving the length scale, while algebraic relations are written down for second moments. Examples are the Mellor-Yamada type q2-q2l models (Mellor and Yamada 1982, Kantha and Clayson 1994) used in geophysics to model the mixing in the atmospheric boundary layer and the oceanic mixed layer, and k-ε models used in engineering (Rodi 1989). However, a major shortcoming of these models has been the absence of counter-gradient scalar fluxes under convective conditions. One way to remedy this is to appeal to a four-equation model in which prognostic equations are also solved for the temperature and salinity (water vapor in the atmosphere) variances also. When this is done, counter-gradient terms appear in the heat and salt (water vapor) flux equations, in addition to the usual down-the-gradient terms involving the temperature and salinity (water vapor) gradients. We will present results from this non-local model and discuss its performance when compared to LES data on convective mixing.

extended abstract  Extended Abstract (216K)

Poster Session 5, Parameterizations for Oceans and Atmospheres
Tuesday, 10 August 2004, 5:30 PM-5:30 PM, Casco Bay Exhibit Hall

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