Perhaps this (open-access) paper might be interesting for you:
O. Shishkina, R. J. A. M. Stevens, S. Grossmann, and D. Lohse, “Boundary layer structure in turbulent thermal convection and its consequences for the required numerical resolution,” New J. Phys. 12, 075022 (2010).
Resolution requirements of the boundary layers and the bulk flow are discussed and also the literature on the topic is collected.
Kenjeres, S. and K. Hanjalic.
Transient analysis of {R}ayleigh-{B}enard convection with {RANS} model.
Int. J. of Heat and Fluid Flow, , V.20, 1999
they solved transient RB with a new T-RANS turbulent model with the following grids:
Ra=10^7 62^3 CV and also with 122² x 62
Ra=10^9 82^3 CV.
they were able to reproduce coherent structures
For the beginning a standard Cartesian grid is good enough. The main differences are seen in the method of solving the equations, not the grid itself. Equidistant mesh for low Ra-number is fine, too. For higher Ra-numbers (>10^5) you should refine the boundaries to ensure a well resolved thermal boundary layer.
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