Numerical simulation of photospheric convection in solar-type stars. I - Hydrodynamical test calculations

Astronomy and Astrophysics – Astrophysics

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Convection, Cool Stars, Photosphere, Radiative Transfer, Stellar Atmospheres, Equations Of State, Hydrodynamic Equations, Radiation Transport, Solar Granulation

Scientific paper

A computerized model of photospheric convection occurring in granules or similar structures in cool stars has been implemented to investigate the dependence of the granular flow and the structure of cool stellar atmospheres on radiative transfer and various element abundances. The numerical properties of the hydrodynamical method used are examined, emphasizing the treatment of advective terms. The method is applied to a number of idealized but important test problems such as shock waves, the Sedov problem in different dimensions, and standing gravoacoustic waves. It is shown that the combination of monotonic transport and operator-splitting is remarkably stable against error propagation.

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