Yc. Kim et al., MODELING OF SHALLOW AND INEFFICIENT CONVECTION IN THE OUTER LAYERS OFTHE SUN USING REALISTIC PHYSICS, The Astrophysical journal, 442(1), 1995, pp. 422-433
In an attempt to understand the properties of convective energy transp
ort in the solar convection zone, a numerical model has been construct
ed for turbulent flows in a compressible, radiation-coupled, nonmagnet
ic, gravitationally stratified medium using a realistic equation of st
ate and realistic opacities. The time-dependent, three-dimensional hyd
rodynamic equations are solved with minimal simplifications. The stati
stical information obtained from the present simulation provides an im
proved understanding of solar photospheric convection. The characteris
tics of solar convection in shallow regions is parameterized and compa
red with the results of Chan & Sofia's (1989) simulations of deep and
efficient convection. We assess the importance of the zones of partial
ionization in the simulation and confirm that the radiative energy tr
ansfer is negligible throughout the region except in the uppermost sca
le heights of the convection zone, a region of very high superadiabati
city. When the effects of partial ionization are included, the dynamic
s of flows are altered significantly. However, we confirm the Chan & S
ofia result that kinetic energy flux is nonnegligible and can have a n
egative value in the convection zone.