Time-dependent corona models - A numerical method

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gas Flow, Stellar Atmospheres, Stellar Coronas, Stellar Models, Continuity Equation, Equations Of Motion, Iterative Solution, Newton-Raphson Method, Supercomputers, Time Dependence

Scientific paper

A time-dependent numerical method for calculating gas flows is described. The method is implicit and especially suitable for finding stationary flow solutions. Although the method is general in its application to ideal compressible fluids, this paper applies it to a stellar atmosphere, heated to coronal temperatures by dissipation of mechanical energy. The integration scheme is based on conservative upwind spatial differencing. The upwind switching is provided by Van Leer's method of differentiable flux-splitting. It is shown that the code can handle large differences in density: up to 14 orders of magnitude. Special attention is paid to the boundary conditions, which are made completely transparent to disturbances. Besides some test-results, converged solutions for various values of the initial mechanical flux are presented which are in good agreement with previous time-independent calculations.

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