Radial Stellar Pulsation and Three-Dimensional Convection. III.   Comparison of Two-Dimensional and Three-Dimensional Convection Effects on   Radial Pulsation
  We have developed a multidimensional radiation hydrodynamics code to simulate the interaction of radial stellar pulsation and convection for full amplitude pulsating models. Convection is computed using large eddy simulations. Here we perform three-dimensional simulations of RR Lyrae stars for comparison with previously reported two-dimensional simulations. We find that the time dependent behavior of the peak convective flux on pulsation phase is very similar in both the two-dimensional and three-dimensional calculations. The growth rates of the pulsation in the two-dimensional calculations are about $0.1\%$ higher than in the three-dimensional calculations.The amplitude of the light curve for a 6500 K RR Lyrae model is essentially the same for our 2D and 3D calculations, as is the rising light curve. There are differences in slope at various times during falling light. 
Christopher M. Geroux, Robert G. Deupree
astro-ph.SR