On the adiabatic pulsations of accretion disks and rotating stars

Details On the adiabatic pulsations of accretion disks and rotating stars On the adiabatic pulsations of accretion disks and rotating stars

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...379..285i&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 379, Sept. 20, 1991, p. 285-289.

Computer Science

Numerical Analysis

18

Accretion Disks, Adiabatic Conditions, Rotating Fluids, Stellar Oscillations, Stellar Rotation, Formalism, Newtonian Fluids, Numerical Analysis, Scalars, Variational Principles

Scientific paper

The adiabatic pulsations of rotating Newtonian fluids, including nonbarotropic configurations, are represented completely in terms of two scalar potentials. The second-order equations that determine these potentials are more convenient to solve numerically than the standard Lagrangian-displacement form of the equations. A variational principle is derived for these equations from which estimates of the frequencies of modes may be obtained. This analysis generalizes previous work by describing the adiabatic pulsations of fluids having any (including nonbarotropic) equation of state, any (including differential) rotation law, and self-gravitation. It is applicable, therefore, to the pulsations of rotating stars or thick accretion disks.

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