  We extend a low Mach number hydrodynamics method developed for terrestrial
combustion, to the study of thermonuclear flames in Type Ia supernovae. We
discuss the differences between 2-D and 3-D Rayleigh-Taylor unstable flame
simulations, and give detailed diagnostics on the turbulence, showing that the
kinetic energy power spectrum obeys Bolgiano-Obukhov statistics in 2-D, but
Kolmogorov statistics in 3-D. Preliminary results from 3-D reacting bubble
calculations are shown, and their implications for ignition are discussed.
