Hw. Xi et al., SPIRAL-PATTERN FORMATION IN RAYLEIGH-BENARD CONVECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 2987-2990
We present a numerical study of the spontaneous formation of spiral pa
tterns in Rayleigh-Benard convection in non-Boussinesq fluids. We solv
e a generalized two-dimensional Swift-Hohenberg equation that includes
a quadratic nonlinearity and coupling to mean flow. We show that this
model predicts in quantitative detail many of the features observed e
xperimentally in studies of Rayleigh-Benard convection in CO2 gas. In
particular, we study the appearance and stability of a rotating spiral
state obtained during the transition from an ordered hexagonal state
to a roll state.