Theoretical modeling of convection II. Reynolds Stress Model

V. M. Canuto
2006 Proceedings of the International Astronomical Union  
The Reynolds Stress Model (RSM) yields the dynamic equations for the secondorder moments (e.g., heat fluxes) needed in the equations for the mean variables (e.g., mean temperature). The RSM equations are in general time dependent and non-local. We first discuss the "buoyancy only" case and the tests of the non-local model against a variety of data. We also "plumenize" the model in order to exhibit the up-down flows that characterize convection so as to show that a non-local RSM is fully
more » ... to account for the "plume aspect" of buoyant flows. Next, we extend the RSM to account for stable and/or unstable stratification and shear, a formalism that is needed to describe the overshooting region contributed by differentail rotation. We conclude by discussing the equation for the dissipation of turbulent kinetic energy which plays a key role in any RSM.
doi:10.1017/s1743921307000063 fatcat:v5m6yi47xbfd7bq7iuii46xc7a