Simulation of cellular convection in a stratified atmosphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Atmospheric Stratification, Computerized Simulation, Convection Cells, Mixing Length Flow Theory, Prandtl Number, Rayleigh Number, Vorticity Equations, Earth Core, Energy Transfer, Free Convection, Kinetic Energy, Stellar Atmospheres

Scientific paper

Using modal equations of the anelastic approximation of convection, solutions are computed for moderate Rayleigh numbers, a Prandtl number equal to one, a density stratification of ten. The vertical vorticity modes may carry a substantial part of the kinetic energy. Stationary three-mode solutions are obtained for a Rayleigh number four times critical. The stratification favors hexagonal planforms for which the vertical speed at the center is directed downward. At a Rayleigh number eight times critical, only time-dependent, periodic solutions exist, in which the vertical vorticity plays an essential role.

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