Smoothed particle hydrodynamics - Theory and application to non-spherical stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Hydrodynamics, Particle Theory, Stellar Models, Astrophysics, Stellar Rotation, Stellar Structure

Scientific paper

A hydrodynamic code applicable to a space of an arbitrary number of dimensions is discussed and applied to a variety of polytropic stellar models. The principal feature of the method is the use of statistical techniques to recover analytical expressions for the physical variables from a known distribution of fluid elements. The equations of motion take the form of Newtonian equations for particles. Starting with a nonaxisymmetric distribution of approximately 80 particles in three dimensions, the method is found to reproduce the structure of uniformly rotating and magnetic polytropes to within a few percent. The method may be easily extended to deal with more complicated physical models.

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