Statistics – Computation
Scientific paper
May 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...146..260e&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 146, no. 2, May 1985, p. 260-268.
Statistics
Computation
56
Computational Astrophysics, Cosmic Gases, Equilibrium Equations, Gravitation, Rotating Fluids, Barotropic Flow, Boundary Value Problems, Hydrostatic Pressure, Newton-Raphson Method, Poisson Equation, Polytropic Processes
Scientific paper
A general computational method is presented to compute equilibria of rapidly rotating self-gravitating gases. The superior capabilities of this method as compared to previously published methods stem from the fact that the equation of hydrostatic equilibrium and Poisson's equation are solved simultaneously with a Newton-Raphson iteration scheme. To demonstrate the capabilities of the method the authors have computed equilibrium sequences of differentially rotating polytropes for several rotation laws, and one equilibrium sequence using the ideal Fermi gas equation of state. Although in these examples the pressure is a function of the density only, a simple extension of the method allows to model closely more realistic temperature-dependent equations of state.
Eriguchi Yoshiharu
Mueller Ewald
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