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This paper explores and compares the pitfalls of modelling thethree-dimensional wind of a spherical star with a cartesian grid. Severalnumerical methods are compared, using either uniform and stretched grid oradaptative mesh refinement (AMR). An additional numerical complication isadded, when an orbiting planet is considered. In this case a rotating frame isadded to the model such that the orbiting planet is at rest in the frame ofwork. The three-dimensional simulations are systematically compared to anequivalent two-dimensional, axisymmetric simulation. The comparative studypresented here suggests to limit the rotation rate of the rotating frame belowthe rotating frame of the star and provides guidelines for furtherthree-dimensional modelling of stellar winds in the context of close-instar-planet interactions.

Numerical aspects of 3D stellar winds