@article{5980, author = {R. Keppens and J. P. Goedbloed}, title = {Numerical simulations of stellar winds: polytropic models}, abstract = {We discuss steady-state transonic outflows obtained by direct numerical solution of the hydrodynamic and magnetohydrodynamic equations. We make use of the Versatile Advection Code, a software package for solving systems of (hyperbolic) partial differential equations. We proceed stepwise from a spherically symmetric, isothermal, unmagnetized, non-rotating Parker wind to arrive at axisymmetric, polytropic, magnetized, rotating models. These represent 2D generalisations of the analytical ID Weber-Davis wind solution, which we obtain in the process. Axisymmetric wind solutions containing both a 'wind' and a 'dead' zone are presented. Since we are solving for steady-state solutions, we efficiently exploit fully implicit time stepping. The method allows us to model thermally and/or magneto-centrifugally driven stellar outflows. We particularly emphasize the boundary conditions imposed at the stellar surface. For these axisymmetric, steady-state solutions, we can use the knowledge of the flux functions to verify the physical correctness of the numerical solutions.}, year = {1999}, journal = {Astronomy & Astrophysics}, volume = {343}, number = {1}, pages = {251-260}, month = {Mar}, isbn = {0004-6361}, language = {eng}, }