Numerical solution of dynamical instability in a slender accretion torus.

Details Numerical solution of dynamical instability in a slender accretion torus. Numerical solution of dynamical instability in a slender accretion torus.

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995acasn..36..159l&link_type=abstract

Acta Astron. Sin., Vol. 36, No. 2, p. 159 - 164

Astronomy and Astrophysics

Astronomy

2

Accretion Disks: Instabilities, Accretion Disks: Dynamics

Scientific paper

The authors consider the linear perturbation process of a nonaxisymmetric dynamical instability in an accretion disk with the approximation of slender torus and non-vanishing shift of corotation radius. By means of numerical calculation, they obtain the growth rate of instability and the co-rotation radius shift in the different wave numbers. From these numerical results they find that the non-vanishing corotation radius shift affects the growth rate slightly, but a non-linear term appears in the dispersion relation between the shift of corotation radius and the wave number. It shows that the "planet-like" solution in the numerical simulation of dynamical instability of a slender accretion torus is much probably similar to the solitons solution of the KdV equation.

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