Two-dimensional compressible convection extending over multiple scale heights

Statistics – Computation

Scientific paper

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Compressible Flow, Convection, Stellar Atmospheres, Atmospheric Stratification, Computational Fluid Dynamics, Fourier Analysis, Temporal Distribution, Two Dimensional Flow

Scientific paper

The theoretical description of the dynamics of a stellar convection zone is considered, taking into account one of the most basic issues by studying compressible convection extending over multiple scale heights. A revised version of a code reported by Graham (1975) is employed. Two-dimensional simulations show that nonlinear compressible convection possesses cellular structures with strong localized downward-directed plumes and broader upflows. The horizontal flows which close the circulation within the cell satisfy an approximate Bernoulli integral along a considerable portion of the horizontal trajectory. Attention is given to details regarding the numerical methods, the properties of the numerical solutions, the overall effects of compressibility on nonlinear convection, and a comparison with anelastic modal solutions.

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