Abstract
A new 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 non-axisymmetric 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 per cent. The method may be easily extended to deal with more complicated physical models.
Keywords
Polytropic processPhysicsClassical mechanicsStarsRotational symmetryPolytropeDistribution (mathematics)Newtonian fluidComputational astrophysicsEquations of motionSpace (punctuation)Statistical physicsMechanicsAstrophysicsMathematical analysis
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Publication Info
- Year
- 1977
- Type
- article
- Volume
- 181
- Issue
- 3
- Pages
- 375-389
- Citations
- 6870
- Access
- Closed
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Cite This
R. A. Gingold,
J. J. Monaghan
(1977).
Smoothed particle hydrodynamics: theory and application to non-spherical stars.
Monthly Notices of the Royal Astronomical Society
, 181
(3)
, 375-389.
https://doi.org/10.1093/mnras/181.3.375
Identifiers
- DOI
- 10.1093/mnras/181.3.375