The results from rotating and non-rotating compressible local models have been very revealing of the differences in transport properties of turbulent and laminar convective flows. The physics of these models thus far has been vastly simplified.
Efforts are currently under way to remove some of the more drastic simplifications.
A version of the local compressible code now incorporates a relaxation of the previous impenetrable boundary conditions in the vertical. A stable layer of fluid has been added below the unstable convecting layer modeling a boundary condition much more akin to astrophysical convection zones. The zones are demarked by a change in thermal conductivity with height. The code maintains a respectable 45 Mflops per processing element, and is currently computing penetrative convection cases for a range of ratios of the stability of the two layers. The mixing induced by turbulent coherent structures penetrating into the lower stable layer and the feedback of gravity waves generated in the lower regime are of considerable importance to stellar evolution theory.