We investigate the structure of laterally-propagating flames through the
highly-stratified burning layer in an X-ray burst. Two-dimensional
hydrodynamics simulations of flame propagation are performed through a rotating
plane-parallel atmosphere, exploring the structure of the flame. We discuss the
approximations needed to capture the length and time scales at play in an X-ray
burst and describe the flame acceleration observed. Our studies complement
other multidimensional studies of burning in X-ray bursts.Comment: Submitted to Ap