A complex-plane strategy for computing rotating polytropic models - Numerical results for strong and rapid differential rotation

Statistics – Computation

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Computational Astrophysics, Polytropic Processes, Stellar Interiors, Stellar Models, Stellar Rotation, Perturbation Theory, Stellar Structure

Scientific paper

In this paper, a numerical method, called 'complex-plane strategy', is implemented in the computation of polytropic models distorted by strong and rapid differential rotation. The differential rotation model results from a direct generalization of the classical model, in the framework of the complex-plane strategy; this generalization yields very strong differential rotation. Accordingly, the polytropic models assume extremely distorted interiors, while their boundaries are slightly distorted. For an accurate simulation of differential rotation, a versatile method, called 'multiple partition technique' is developed and implemented. It is shown that the method remains reliable up to rotation states where other elaborate techniques fail to give accurate results.

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