User:Tohline/Apps/RotatingPolytropes/BarmodeLinearTimeDependent

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Simulating the Onset of a Barmode Instability

Whitworth's (1981) Isothermal Free-Energy Surface
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Index of Relevant Publications

Here is a list of relevant research papers as enumerated by …

  • Y. Kojima & M. Saijo (2008), Phys. Rev. D, vol. 78, Issue 12, id. 124001: Amplification of azimuthal modes with odd wave numbers during dynamical bar-mode growth in rotating stars
 

Nonlinear growth of the bar-mode deformation is studied for a differentially rotating star with supercritical rotational energy. In particular, the growth mechanism of some azimuthal modes with odd wave numbers is examined … Mode coupling to even modes, i.e., the bar mode and higher harmonics, significantly enhances the amplitudes of odd modes …

CODE: Newtonian, 3D Eulerian, Cartesian, with entropy tracer; reflection symmetry through equatorial plane; <math>~\Gamma=2</math>; Poisson solved with preconditioned conjugate gradient (PCG) method

MODEL(s): axisymmetric, n = 1 polytrope; j-constant rotation law with A = 1; their Table I lists four different equilibrium configurations.

Additional references identified through the above set of references:

  • M. Saijo (2018), Phys. Rev. D, 98, 024003: Determining the stiffness of the equation of state using low T/W dynamical instabilities in differentially rotating stars
 

We investigate the nature of low T/W dynamical instabilities in various ranges of the stiffness of the equation of state in differentially rotating stars … We analyze these instabilities in both a linear perturbation analysis and a three-dimensional hydrodynamical simulation … the nature of the eigenfunction that oscillates between corotation and the surface for an unstable star requires reinterpretation of pulsation modes in differentially rotating stars.

See Also


Whitworth's (1981) Isothermal Free-Energy Surface

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