Smoothed particle hydrodynamics: theory and application to nonspherical stars.
Abstract
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.
 Publication:

Monthly Notices of the Royal Astronomical Society
 Pub Date:
 November 1977
 DOI:
 10.1093/mnras/181.3.375
 Bibcode:
 1977MNRAS.181..375G
 Keywords:

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